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Ready to learn about the best online masters in mathematics? You’ve come to the right place. In this post, we’ll tell you all about the 35 top online masters mathematics majors can choose from.
After all, mathematics is so much more than one plus one equals two.
Are you someone who is drawn to the field of mathematics? Options range in terms of career possibilities. For the analytical and the statisticians, there’s the arena of data and research.
Those who are more academic-minded can pursue academia all the way from lower grades to university-level professorships.
Mathematicians can even find work in government, the non-profit or private sector, and a myriad of other places.
All of these factors combine. They make the online master’s degree in mathematics one of the most popular online degree programs available.
And according to the Bureau of Labor Statistics, a degree in mathematics is one of the most lucrative you can choose if you’re interested in working at the senior level of an industry. And an online degree is perfect if you have other responsibilities you are juggling, like working in a related field or teaching high school.
What Do Math Majors Study in a Degree in Mathematics?
You might be wondering what you will learn if you decide to pursue a degree in mathematics. Math majors study all sorts of subjects, with common topics for an online master’s including:
- Linear algebra
- Advanced calculus
- Linear models
- Number theory
- Partial differential equations
- Discrete mathematics
- Abstract algebra
- Axiomatic geometry
- Numerical analysis
- Probability statistics
- Abstract algebra
- Vector spaces
- History of mathematics
- Scientific computing
- Data analysis
- Euclidean geometry
- Rings and fields
- Group theory
- Complex analysis
- Ordinary differential equations
You can even take elective classes in other areas, like software engineering (software engineers tend to have a strong mathematics background!). There are all kinds of customization options out there so you can pursue your interests in a related field.
Most students take at least one introductory course in research as part of an MS in mathematics as well. These programs will help you solve real world problems that you might encounter in the mathematics world. A degree in this field will prepare you for all kinds of work, including in secondary education, graduate teaching, or even for the federal government.
That’s true of both online and on campus students. This variability in required courses is fantastic, allowing students to choose the courses they need for in-demand careers.
We’ve narrowed down some of the best online graduate programs we could find to give math majors a good look at the top 35. We culled through many schools to find the best master’s degree. We used criteria points to develop the ranking as follows (any schools that received the same point value were ranked based on lowest out-of-state tuition as the tiebreaker):
- Format: 100% online, residencies required, hybrid program
- Support: Dedicated mathematics resources, online student services, career advancement
- Commendation: Recognition by impartial and well- regarded sources (such as U.S. News and World Report) and
- Program extras: Other impressive elements
You will find one of the best online masters degree programs in mathematics at Columbia University. The Columbia University Foundation School of Engineering and Applied Sciences has an online MS in Applied Mathematics program. This master’s degree is through the Columbia Video Network (CVN).
The 30-credit hour MS in Applied Mathematics program includes an equal fifteen credits of core mathematical concepts classes and fifteen credits of electives. A student can choose a selection of electives across several fields. Or math majors can focus in the areas of:
- computer science
- industrial engineering/operations research,
- mechanical engineering.
Three start dates allow for flexibility. Students have up to five years to complete the degree based on their schedules.
The UW online Master of Science in Applied Mathematics program is an interdisciplinary program. It contains 36 credits hours (students take an average of 42). The program is comprised of courses such as:
- Introduction to Dynamical Systems & Chaos
- Vector Calculus & Complex Variables
- High-Performance Scientific Computing
- Numerical Analysis of Time Dependent Problems
- Abstract Algebra
Most math majors can complete the online master’s in a year. Many students finish in three years but have up to six.
The online Master of Statistics program at NCSU is in the Department of Statistics. It has a Coordinator of Advising to assure the timeliness of all program materials
The master’s degree is the exact same program that is offered on-campus. It has a minimum 30 semester hours. Core coursework in the master’s degree is comprised of 21-semester hours of courses. Examples of courses in the online master’s (all offered online at the graduate level) include:
- Fundamentals of Linear Models and Regression
- Statistical Practice
- Financial Mathematics
- Linear Algebra
- Discrete Mathematics
- Number Theory
- Advanced Calculus
- Axiomatic Geometry
- Teaching and Learning Statistical Thinking.
Students can opt between four concentration options. There is also a Graduate Certificate in Mathematics. After graduating from this MS in mathematics, you’ll be equipped to pursue a variety of career paths, including working for the federal government. You’ll learn how to analyze risk and solve problems, skills that are useful in all kinds of workplaces.
Another top online math masters can be found at Johns Hopkins University. The Johns Hopkins Engineering for Professionals Applied and Computational Mathematics program has an online MS in Applied and Computational Mathematics. It is housed within the renowned Whiting School of Engineering. The 30-credit hour online master’s program is stellar. The MS in mathematics at the graduate level provides students with five focus areas to build upon the bachelor’s degree:
- Applied Analysis
- Information Technology and Computation
- Operations Research
- Simulation and Modeling.
Four key online courses are required. Students can choose from an array of electives such as:
- Matrix Theory
- Optimization in Finance
- Linear Algebra
- Abstract Algebra
- Complex Analysis
- Group Theory
- Mathematics of Risk, Options, and Financial Derivatives
Financial aid is available.
The Master of Statistics (MAS) program is in Penn State’s World Campus. The 30-credit hour program can be completed in two to five years. This master’s degree is ideal for online students. It includes required graduate level coursework such as:
- Introduction to Probability Theory
- Analysis of Variance and Design of Experiments
- Regression Methods
- Data Analysis
- Linear Algebra
- Applied Nonparametric Statistics
- Analysis of Discrete Data
Texas A&M University College Station offers an online degree, a Master of Science in Mathematics program. It is accessible 100% online. It is a 36-credit hour program housed within the Department of Mathematics in the College of Science. It builds upon what you learned in your bachelor’s degree.
It is a Master of Science degree (as opposed to a Master of Education or a Master of Mathematics). Students can format their curriculum choices to follow various career paths. In addition, students can choose from a teaching option or a computation option. Coursework covers an array of mathematics subjects, as well as history and analysis. Students pursuing this degree will have course choices such as:
- Dynamical Systems and Chaos
- Iterative Methods
- Vector Spaces
- Information, Secrecy, and Authentication
- Mathematical Communications and Technology
Financial aid is available.
Six start dates offer flexibility for students beginning the online MS in STEM Education degree program at the University of Iowa. There is a mindful arrangement of five sessions in relation to the PreK-12 academic calendar). The program is located in the Department of Teaching and Learning within the College of Education. The 36-credit hour program has coursework in mathematics, science, and education pedagogy. There is also independent research (with guidance from an academic advisor).
This program builds upon what you learned in your bachelor’s degree. Students pursuing a degree can choose from mathematics courses like:
- STEM Through Mathematical Modeling
- STEM Experiential Learning
- Foundations of Mathematics Education
- Current Issues in Mathematics
- Technology Integration in 21st Century K12 Schools
The degree culminates with a STEM Extracurricular Experience and Capstone.
This program is designed for certified secondary teachers. The Iowa State University Master of School Mathematics (MSM) degree program is provided 100% online. It is located in the Department of Mathematics through the collaborative College of Liberal Arts and Sciences and College of Engineering (Engineering-LAS Online Learning). The program requires 32 credit hours to graduate.
The online Master of Arts (MA) in Mathematics program is offered by the Department of Mathematics of the University of Houston. It provides students with the skills to teach or administrate mathematics in upper level grades or community college settings.
It requires 33-semester hours. Students can complete the entire degree online by taking classes within the focus areas of Algebra, Analysis, Probability & Statistics, and Applied Mathematics. Students may choose from a variety of electives. Online courses math majors will study as part of the online master’s degrees include topics such as:
- History of Mathematics
- Introduction To Differential Geometry
- Linear Algebra
- Survey Of Mathematics
Another great mathematics masters online is at the University of Arkansas.
This is a unique program for students with an undergraduate degree in a mathematical science who desire to teach. The Master of Arts in Secondary Mathematics program at the University of Arkansas is offered 100% online through U of A Online. It is located in the Fulbright College of Arts and Sciences’ Department of Mathematical Sciences.
The 30-credit hour program requires core coursework in the expected:
- Abstract Algebra
- Linear Algebra
- Advanced Calculus
All online master’s majors will take “Connections to School Mathematics.”
Students may choose from a variety of electives. You’ll also take at least one course in research. Even part time students can thrive here and graduate with the ability to pursue in demand careers.
The online degree, Master of Applied Statistics (MAS) program, is in the UK College of Arts & Science’s Department of Statistics. Students can finish this online master’s in just a year. Two-, three-, and four-year online master’s programs of study are also available.
It is a 30-credit hour program with eleven online courses, similar to many other online master’s degrees. The MAS is like other online programs in that it offers a curriculum with classes such as:
- Foundations of Probability and Inference
- Regression Modeling
- Design of Experiments
You will also take at least one course in research. Financial aid is available.
Western Kentucky University offers an online master’s in Mathematics. It is ideal for certified secondary teachers. WKU provides a master’s program to lead to a rank change. It builds upon what you learned in your bachelor’s degree to prepare you to become effective school teachers.
The 30-34 credit hour graduate program requires eighteen hours of core coursework. There are classes such as:
- Algebra from an Advanced Perspective
- Foundations of Teacher Leadership
- Classroom Instructional Strategies and Management
- Action Research Design
CSU offers a 100% online MAS program. This degree in mathematics is through the Department of Statistics. A Student Success Coach is available to guide students in choosing the customized format for how they pursue the degree. There is full-time accelerated pursuit that lasts less than a year. There’s also a four-year experience. Students receive the same curriculum and education, just in the time that suits their needs best. Financial aid is available.
The MS in Mathematical Sciences program is in the Department of Mathematics and Statistics. This degree in mathematics is at the UWF Hal Marcus College of Science and Engineering.
Students complete a minimum of 30 semester hours. They can choose a thesis or non-thesis track. Students choose between a Proseminar or a research project. The research project spans spans two semesters. Students are guided with the assistance of an advisor throughout every step of the graduate program.
Regardless of track chosen, all students take the two core online mathematics courses “Matrix Theory” and “Statistical Inference.” They must pass the subsequent comprehensive exams. The faculty is well-versed in their particular subject focus and are true teacher leaders. They provide students with the benefit of their expertise even in an online format.
#15. Drexel University
Drexel University’s School of Education presents an online MS in Mathematics Learning and Mathematics Teaching program. The online program requires a minimum of 45 credit hours. Students participate in education courses, online mathematics courses, and capstone courses.
The curriculum utilizes two comprehensive approaches to education: Japanese Lesson Study and Math Forum. This mathematics degree includes classes such as:
- Current Research in Curriculum & Instruction
- Diagnosing Student Mathematical Thinking
- a selection of Capstone online mathematics courses depending on which Capstone Track is chosen (tracks are available in Practitioner, Thesis, or Lesson Study).
RIT’s College of Science provides an online MS in Statistics. It allows students to chart “a plan of study tailored to their interests and career goals.”
A concentration is possible. There are many options, including
- Predictive Analytics
- Data Mining/Machine Learning
- Industrial Statistics
Or students can “design their own sequence” to customize the mathematics degree.
The terminal MS in Statistics degree is online through the OSU Department of Statistics. It requires 36-credit hours to graduate. The program does not include a thesis requirement or comprehensive exams.
Core coursework prospective students might take includes:
- Statistics for Experimenters
- Mathematical Statistics
- Applied Regression Analysis
- Ordinary Differential Equations
- Nonparametric Methods
- Sample Survey Designs
#18. University of Idaho
The UI College of Science provides a Master of Arts in Teaching (MAT) in Mathematics. It is all online through Idaho Engineering Outreach. It is a 30-credit hour, non-thesis program for teachers who are already certified. Coursework in this degree in mathematics strengthens existing mathematical knowledge and lesson-planning abilities.
If you want to teach mathematics or are one of the country’s many high school teachers, this advanced mathematics degree is a good choice for you. It prepares you for secondary education (K-12) as well as for teaching advanced mathematics in higher education settings. Students choose the courses they need to customize the degree.
This program has a minimum of 24 credits. It allows students to choose a thesis or a non-thesis track. Students of both online master’s programs are able to access College of Science Student Services for assistance and support.
The online Master of Science in Mathematics degree exists in a synchronous format. No visits to Terre Haute required! This is through Indiana State University’s College of Graduate and Professional Studies. The 33-credit hour program can be completed in as little as 24 months of full-time study. Many students finish in three to five years. Students have customization options throughout the degree. There are four core courses needed. There are eight classes from which to choose, with titles such as:
- Mathematical Modeling
- Commutative Algebra
- Linear Programming and Optimization
#20. Aurora University
The online MA in Mathematics Education degree offered by Aurora University (through AU Online) is ideal for aspiring teachers. It is a 37-credit hour program. It can be completed in just one year on a full-time basis. It includes core mathematics courses such as:
- Applications in STEM
- Numbers and Mathematical Thinking
- Curriculum Development and Assessment in Mathematics and Science
- Mathematical Connections” “Technology in Mathematics Classrooms
NAU provides an online Master of Science in Mathematics Education through the Department of Mathematics and Statistics. The 37-unit program requires five mathematics content courses. There are also seven mathematics education courses. Topics include:
- Problem Solving: Theory and Practice
- History and Philosophy of Mathematics Education
- Differential Equations
The Department of Mathematics, Science, and Instructional Technology Education (MSITE) in ECU’s College of Education provides an online Master of Arts in Education (MAEd) in Mathematics Education. There are two online concentration options. The Middle Grades Mathematics concentration and the Elementary Mathematics concentration are both accessible online. The K-12 High School Mathematics concentration is offered in collaboration with the Department of Mathematics. It requires some on-campus coursework in addition to online classes. For the most part, you can take classes on your own schedule.
This is a 36-credit hour program that can be completed in two years. The core curriculum for both concentrations share mathematics courses like:
- Introduction to Differences in Human Learning in Schools
- Differential Equations
- Research in Mathematics Education
- a Capstone Project in Mathematics Education course
The Shawnee State online Master of Mathematical Sciences program allows students to pursue their advanced degree in just over two years. Small cohorts of students (between fifteen and twenty) enter the 36-credit hour program together to study mathematics, statistics, and probability. There are fifteen credits of core requirements. These are followed by the student’s selection of mathematics electives (such as “Complex Variables” and “Number Theory”) and applied research. Financial aid is available.
University of North Alabama has another great masters in mathematics online. This online Master of Science in Mathematics program offers students three distinct tracks of elective coursework. This helps to customize the degree towards their interests. The online program is housed within the Department of Mathematics in the College of Arts and Sciences.
All students participate in the five core curriculum classes:
- Topics in Advanced Mathematics
- Group Theory
- Rings and Fields
- Advanced Calculus I and II
Their elective choices are guided by their chosen concentration track. Students desiring “expertise in advanced topics in applied and/or pure mathematics” can follow the Pure Mathematics track. Educators can opt for the Mathematics Teaching concentration and even pursue math certification.
The collaboration between the College of Education and the Department of Mathematics and Statistics at James Madison University has been outstanding. It produced an exceptional online Master of Education (MEd) in Mathematics program. The Department is housed within the College of Science and Mathematics. It provides the 34-credit hour MEd program 100% online. It has 21 hours of mathematics and thirteen of education. Students are well-rounded with both disciplines.
Coursework includes classes such as:
- “Inquiry in Education”
- “History of Mathematics”
- “Curriculum Theory and Issues”
- “Modern Analysis.”
This program is a Professional Science Master’s (PSM) degree. The online PSM in Applied Mathematics at California University of Pennsylvania is approved by the PSM National Office. It is one of just 365 programs nationwide.
The program focuses on “big data” and analysis. It also includes the components of a PSM program. It integrates “science and mathematics with management, law or other professional areas.” The 30-credit hour program includes classes such as:
- “Advanced Numerical Analysis and Empirical Modeling”
- “Leadership and Professional Development”
- “Differential Equations”
- “Data Mining and Simulation Modeling.”
#27. Lesley University
The Lesley University online MEd in Mathematics Education can be pursued as a professional licensure or a non-licensure program. The supportive “virtual community” provides resources and opportunities to learn together.
The experienced faculty have many years of teaching and administrating. They also serve as educators and presenters on current educational topics. The MEd program is housed within the CAEP-accredited Graduate School of Education. The 33 required credit hours are provided in accelerated eight-week terms.
The online masters programs in mathematics at the University of Tennessee is truly one of the best.
The University of Tennessee’s Master of Mathematics (MM) program was developed with funding from the National Science Foundation in the 1960’s. It is housed within the Department of Mathematics in the College of Arts & Sciences. The 30-credit hour program was first designed for high school teachers but is now open to all certified teachers.
It allows for some interdisciplinary study. 21 credits must be from within the Department, but up to six may be taken outside of the Department. The core coursework is comprised of five classes:
- Discrete Math for Teachers
- Analysis for Teachers
- Algebra for Teachers
- two Seminar for Teachers
Financial aid is available.
The UTRGV online Master of Science in Mathematics degree program offers students a flexible and customizable experience. It is housed within the College of Science’s School of Mathematical and Statistical Sciences. The online program is presented through the Division of Research, Graduate Studies & New Program Development in the Graduate College. The Master of Science offers a “cutting edge” curriculum and faculty who are dedicated and experienced. There are four dedicated concentration options:
- Mathematics Teaching
- Industrial and Applied Mathematics
The Masters of Science in Mathematics – Mathematics Education Option (MSMME) is another great choice.
The majority of the coursework can be found online. Students benefit from powerful and concentrated three-week on-campus summer sessions. Graduate students participate in at least two of these summer sessions during the course of their education. Financial aid is available.
Emporia State University has one of the best online masters degree programs mathematics majors can choose from. Emporia State University’s Master of Science in Mathematics degree program mirrors the on-campus program. Yet it can be completed 100% online.
It is a 34-credit hour, non-thesis MS. The degree program allows up to nine transfer credits. Most students complete the program in three years on a part-time basis. One course is required (“Mathematical Proofs”). Three content areas allow students to customize the degree. Nine credits of class choices must be selected. These are from within the areas of Analysis, Algebra, and Statistics/Applied Mathematics.
Elective choices include:
- “Game Theory”
- “Introduction to Mathematical Logic”
- “Non-Euclidean Geometry”
A Seminar in Mathematics presentation completes the degree. For students who are not sure if they want a full master’s degree, the online Graduate Certificate in Mathematics is available.
The University of Northern Iowa has another one of the top online math masters degrees. The Division of Continuing Education and Special Programs department of Continuing and Distance Education (UNI at a Distance) offers an online MA in Mathematics with a Community College Teaching Emphasis. There is also a Secondary Teaching Emphasis through the Department of Mathematics. Both programs require several two-week summer sessions on-campus. The credit hour requirements range from 32-34. This depends on the Emphasis chosen. Key mathematics courses are shared in this online mathematics masters degree.
The online master’s degree includes topics such as:
- New Developments in Mathematics Education
- Studies in Cognitive Demand and Classroom Discourse
Students move together through the curriculum as a cohort.
The online MA in Post-Secondary Foundational Mathematics Teaching degree at Ball State helps current teachers find success in the classroom. The 30-credit hour program is located in the Department of Mathematical Sciences. It offers all coursework in an asynchronous format.
The curriculum is divided into three subject areas:
- Content Knowledge for Teaching Mathematics
- Research and Pedagogical Knowledge for Teaching Mathematics
- Pedagogical Knowledge for Teaching Adults.
Classes are comprehensive and rich. They cover topics such as:
- Probability, Data Analysis, and Statistical Reasoning
- Teaching Mathematics through Problem Solving
- Technology for Mathematics Teachers
#34. Radford University
Another great master in mathematics online is at Radford University. Through the Radford University College of Graduate Studies and Research, students can pursue an online Master of Science in Education. It has an emphasis in Mathematics Education. This is a 36-credit hour program. Students engage in a common core.
Classes here include “Educational Research” and “Multicultural Perspectives.”
There are also mathematics courses in this master’s degree in mathematics such as “Foundations of the Number System” and “Algebraic Reasoning and Mathematical Structures.” There are even math education courses like “Issues of Equity and Diversity in Mathematics Education.” You might even take courses in other departments, like natural sciences.
Last but not least is Nova Southeastern University. Here, you’ll find an online math masters degree that will fit your lifestyle well.
The MS in Education with a specialization in Mathematics Education is an online program. It is offered through the NSU NCATE-accredited Abraham S. Fischler College of Education. It is ideal for students who wish to focus their study on content that is research-based and uses best practices for teaching in the classroom. The 36-credit hour program offers classes such as:
- “Diagnosis and Remediation of Learning Difficulties in Mathematics”
- “History, Current Trends, and Technology in Mathematics Education”
- “Teaching Probability and Statistics in the K -12 Classroom.”


E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
A small frame with wires stretched across it. Each wire contains ten movable balls, which can be shifted backwards or forwards, so as to vary ad libitum the number in two or more blocks. It is used to teach children addition and subtraction. The ancient Greeks and Romans employed it for calculations, and so do the Chinese. The word is derived from the Phn. abak (dust); the Orientals used tables covered with dust for ciphering and diagrams. In Turkish schools this method is still used for teaching writing. The multiplication table invented by Pythagoras is called Abacus Pythagoricus. (Latin, abacus; Greek, .)


Since the multi-digit addition and subtraction and Multi-Digit Multiplication games were a great success in my classroom and from what I heard in yours as well, I have decided to create a few for long division as well. The idea of these games is to motivate the students to practice the algorithm. Practicing calculations is often boring for the students but so necessary. I hope that these games/activities will add some excitement to the work.
To play these games the students need to know and understand division and the partial quotient or the traditional long division algorithm. The games came in print and google slides form.
I am a big fan of the partial quotients algorithm however, I teach the traditional one as well once the students are ready. I believe that the partial quotients algorithm does wonders for the mental math skills of the students and it is more clear and conceptual. The traditional algorithm is essentially the same thing but seems more abstract for most students, and causes confusion.
If you are starting with the concept of division and the algorithms check out these activities Diving into Division -Teaching division conceptually
Game 1 – Four in a row
How to play
2-6 players or groups/pairs
The students use two 6 face dice or roll one dice twice. The first dice/roll will give them a number from the first column and the second dice roll will give them a number from the second column. They can use two different color dice, one for the first column and one for the other. They divide the numbers they got. (They do this on their own draft paper or use the template given). The students need to have “proof” that they did the calculations. Also, with the students having their calculations organized on a paper you can easily review a few combinations for the whole class or check their work individually.) I allow the students to use any way they want to solve the problem, partial quotients, traditional algorithm. If the students don’t find the answer on the grid they know that they need to check their work.
Once they get an answer from their dice combination they find it on the board/grid and mark it by coloring it. If it’s taken by another player they just wait for their next turn. The first player/team to get a 4 in a row vertically, horizontally, or diagonally wins. The players can both roll for their numbers and then do the calculations at the same time instead of waiting for each other.
You can turn this game into a race of who will mark the most tiles in a given time, however, this version is better with pairs or teams.
You can use the board as a worksheet and a single-player game/activity. The students are given a number of problems to solve and then check if they got 4 in a row. They can also race to who will get 4 in a row first.
Make a word
How to play
This game is very similar to the one above with the exception that instead of making four in a row you need to form a word. Every number that you mark on the grid gives you a letter. You collect the letters and when you have enough to make a word you win. The first player to make an actual word wins. You can decide that the word has to be 3 and more letters for a longer play. If more than one players make a word the biggest word wins.
This is a fun game to play with teams and pairs as well. The team gets to roll a number of times let’s say 12 and do the calculations. Then they try to make the longest word with their letters.
You can use the board as a worksheet and a single-player game/activity. The students are given a number of problems to solve and then check if they got a word with their letters. They can also race to who will get a word first.
I hope that you find these games useful.
Below you will find the free and premium versions of this resource.
The free version includes two print games for long division 3/1 digits and the templates for the calculations. The templates help the students to keep track of the problems they solved and the teacher to check the work. Download the free version below.
The premium version includes 6 games for 3/1, 3/2, and 4/2 digits division, the calculation templates, and the google slides version for all the games. The students can do the calculations on paper or on slides. The google slides version uses a spinner instead of dice.
This is a growing resource as more games (different numbers and more digits) will be added soon.
Find the bundle with all 3 resources addition, subtraction, multiplication, and division games at a better price here


Mathematical Structures & Data Analytics
Mathematical structures and data analytics lie at the heart of scientific activity. Current research is expanding the body of pure mathematical knowledge faster than ever before, with the creation of new mathematical structures and the discovery of connections between them providing deep insights into both abstract and real worlds.
Research at Maynooth University draws on the community of pure and applied mathematicians to address fundamental questions in mathematics. Advances in statistical data analytic methods address the challenges of 'big data' and other applied problems.
Maynooth University is an ideal Host Institution for a Marie Skłodowska Curie Individual Fellowship and this cluster is interested in finding potential applicants. Find a mentor below or contact MSDA@mu.ie for more information.
Peter Mulligan and Rachel O'Neill have both won the prestigious 'UK and Ireland Awards for Excellence in Mathematics and Statistics Support'.
Date: Tuesday, 07 September 2021
The staff of the Department of Mathematics & Statistics will be available on Monday 6th September for Autumn Consultation Day. Your lecturers will reply to queries via email from 10-12noon and 2-4pm on this day.
Date: Monday, 30 August 2021


Hello, I am just wondering if you could have a data dictionary available for the acronyms on the USPSA overall event scoring page and individual stage scoring page, along with any possible weights. For example: “a = zone with highest amount of points, weights = if(major, weight = 5; minor, weight = 5); b = zone with second highest amount of points, weights = if(major, weight = 4; minor, weight = 3)… n”. Or to simplify these could be two separate txt files, though that doubles the work to maintain.
It would also be great if there was a simple blog post on how to reproduce the calculations shown on the main results page of the event, I think I understand them in theory, but I am not able to reproduce the values from the stage level to the overall event results level. For instance, HF = (Pts / Time) is clear, but then how do I get to the % shown on the overall results level from the stage level (e.g. it is not a simple mean, perhaps weighted?). I am trying to track my progress over time in a spreadsheet, and knowing what I’m tracking and how it’s calculated (and if possible, reproducible) would be great. My goal is to use this to help target training, and get a sense of an optimization point along the curve.
If either of these already exist, please forgive me


When the treasures of a small Tibetan village are stolen, the villagers believe it was the work of the yeti. The abbot believes differently and calls upon Joni Savage, Santiago Rivera, Leslie Clark and Owen Lam -- the ClueFinders! Their mission is to travel through the village solving math problems and gathering clues from the villagers. Once all clues are in hand, they tell the abbot which item was stolen, the identity of the thief, and where it was hidden. Retrieving all 24 items lets the user determine the mastermind behind the entire mystery and bring the perpetrator to justice.
Set high in the Himalayas, ClueFinders: Math Adventures encourages learning in a wide variety of math skills including addition, subtraction, multiplication and division, data evaluation, fractions and decimals, equivalents, comparisons, charts and tables, bar and line graphs and pictographs. Intended for the 9-12 age group, it also includes word problems and introductory geometry (area and perimeter, figures and shapes, angles and lines, space, prism and pyramids), as well as nine games and activities with ten levels of difficulty.
A "Real World Adventure Kit" offers a mapmaker, adventure logbook, encoder/decoder, money tracker, club kit for setting up personal clubs, and a sound transformer that allows players to use their own voice (microphone required).
A bonus game, ClueFinders: Mystery Mansion Arcade, is also included. ~ Lisa Karen Savignano, All Game Guide
Pentium 166MHz Processor
100MB Hard Disk Space
8X CD-ROM drive
High-color, 16-bit monitor
Windows compatible sound card and speakers
~ Mark Hoogland, All Game Guide
|Software Version No.||2.4|
|Number of CDs||2|
|Tech Support URL||www.learningcompany.com/support|
|Legal Copyright/Trademark Line||©2000, 2002 Riverdeep Interactive Learning Limited|
|Included in Package||Install Card|
|Official Product Website URL||www.cluefinders.com|
|Minimum MacOS Version||8.6|
|Company Website URL||www.learningcompany.com|
|Feature 1||Learn math skills with the ClueFinders gang on an adventure in the Himalayas|
|Feature 2||Math topics include addition, subtraction, problem solving, fractions, geometry, and more|
|Feature 3||Over 50,000 math problems and 15 interactive activities|


We implemented a random number generator. We’ve heard that rand()’s 32 bit seeds can be easily cracked, so we stayed on the safe side.
It is required to guess the output of a rand(). The rand() source file is given. An example of a play is the following:
$ nc lucky.chall.polictf.it 31337 Welcome! Do you feel lucky? Try to guess the numbers I'm thinking of. You have one minute to reach 100 points. Good Luck! You have 10 points. Guess the next number: 0 0Wrong, the correct number was 1527358467. You have 9 points. Guess the next number: Wrong, the correct number was 4237098583. You have 8 points. Guess the next number: 0 Wrong, the correct number was 3143302912. You have 7 points. Guess the next number: 0 Wrong, the correct number was 61247370. You have 6 points. Guess the next number:
Part of the source is the following:
def __init__(self, a, b, nbits): self.a = a self.b = b self.nbits = nbits self.state = random.randint(0, 1 << nbits) def nextint(self): self.state = ((self.a * self.state) + self.b) % (1 << self.nbits) return self.state >> (self.nbits - 32) multiplier = 0x66e158441b6995 addend = 0xB nbits = 85 # should be enough to prevent bruteforcing generator = LinearCongruentialGenerator(multiplier, addend, nbits)
It is a classic linear congruential generator, where the current random number is not the full state, but just the 32 most significant bits.
At the first comment here https://crypto.stackexchange.com/questions/10608/how-to-attack-a-fixed-lcg-with-partial-output is explained how to solve this challenge.
An here is the implementation:
a=0x66e158441b6995L b=11 mod = (1<<85) def getstate(r0,r1,r2): t=((1<<53)*r1 - a*(1<<53)*r0 - b + (1<<53) - 1) % mod for k in range(1,((1<<53)*a-1-t)/mod): if ((t+mod*k)%a) < (1<<53): state = (t+(1<<85)*k)/a + (1<<53)*r0 if (((state *a +b)%mod)*a+b)%mod >> 53 == r2: return state return 0 def next(): global state state = (state*a+b)%mod return state >> 53 r1 = input() r2 = input() r3 = input() state = getstate(r1,r2,r3) for i in range(1,3): ign=next() for i in range(1,200): print next()


We have an awesome tech person at our school who has been searching for cheaper alternatives that work in just the same fashion. Last year, she showed us one that uses a stylis pen to operate the board rather than your finger, much like the Promethean Boards, which I also love. It was the perfect solution!
It is called a Mimio.
The longer piece is placed next to your working surface. Once hooked into your computer, it turns that surface into an interactive board!
I just had to be one of the first ones to use it in the classroom. I have had it in my room for a year now and love it! It barely takes up space and I can use the surface as a whiteboard when I am not working on the Mimio.
Here are a few of my students trying it out this week. We were doing a lesson on 3 digit place value.
They click on the dice to roll them.
They then write and state the number they created.
Simple but VERY effective.
In this particular lesson, there were a few other activites on 3 digit place value that the children had a chance to try as well. I love getting the kids on here!
I can't take credit for creating this though. There are a TON of great smartboard, powerpoint, and other creative lessons on a website called: Rockingham County Public School Resources
You can pretty much find any grade and subject on there. I found this one on the second grade math resources HERE.
This is a county in Virginia so concepts are categorized by SOLS(Standards Of Learning). However, I don't think you will have a problem finding what you need.
Hope you find some great ideas there!


Rynne Daven A. Barrios, a 17-year-old student from Baguio City, Philippines, has won the gold medal in the Southeast Asian Mathematical Olympiad (SEAMO) 2022. The competition was held online from February 14-19, 2022, and Barrios bested hundreds of participants from all over Southeast Asia.
Barrios is a grade 12 student at the University of Baguio Science High School. He has been interested in mathematics since he was a child, and he has participated in several math competitions throughout his school years. He is also a recipient of the Presidential Scholarship for Science, Mathematics, and Engineering.
The SEAMO is a prestigious math competition that is organized by the Terry Chew Academy of Singapore. The competition is designed to test students' problem-solving skills and their understanding of mathematical concepts. The problems in the SEAMO are challenging, but Barrios was able to rise to the occasion and achieve a perfect score.
Barrios's victory is a major accomplishment for the Philippines. He is the first Filipino student to win the gold medal in SEAMO, and his achievement is a testament to his hard work and dedication to mathematics. Barrios is an inspiration to young people everywhere who are interested in pursuing a career in mathematics.
In addition to his academic achievements, Barrios is also an active member of the Baguio City Math Circle. He is passionate about sharing his love of mathematics with others, and he has helped to organize several math camps and workshops for young people.
Barrios plans to study mathematics at the University of the Philippines Diliman after graduating from high school. He hopes to one day become a professor of mathematics and inspire other young people to pursue careers in STEM fields.
Barrios's victory is a major win for the Philippines and for the field of mathematics. He is an inspiration to young people everywhere, and his story shows that anything is possible if you set your mind to it.


Friday Tri-day! As is, Pascal’s Tri-day…
We found three sequences (four if you count 1, 1, 1, 1, 1, 1…) last week in Pascal’s triangle: counting numbers, triangular numbers and square numbers.
Today we will start by adding up the rows of the triangle:
If you’re a computer-lover you might recognise these as much of computing is built upon them (via binary numbers). They are the powers of 2. You might not know what this means, so I’ve made a table to explain:
|Written out||2/2||2||2 x 2||2 x 2 x 2||2 x 2 x 2 x 2||2 x 2 x 2 x 2 x 2|
So 23 means you write down three 2s and multiply them all together. The sequence is the powers of 2.
Now we’ll look at the sum of the shallow diagonals. Have a look:
The sequence we find when we add up along the shallow diagonals is 1, 1, 2, 3, 5, 8, 13 … This is the Fibonacci sequence of numbers, which you can continue by adding the two previous numbers together (1 + 1 = 2; 1 + 2 = 3; 2 + 3 = 5 etc). There are all sorts of connections to other areas of mathematics from the Fibonacci numbers, and also into nature.These include shells, flowers and leaves on plants. It’s amazing to find maths in nature when we so often consider it a human construct – it’s not!
Now if we look at the top few rows of Pascal’s triangle we see:
If you look at the second row you see 11; the third row says 121. 121 is 11 x 11; 1331 is 11 x 11 x 11. These are the powers of 11! The next row of Pascal’s triangle is 1 5 10 10 5 1. How can we find the power of 11 from this row? Here is the method, carrying tens over to the next column, which gives 11 to the power of 5.
From the picture you can see that the row 1, 6, 15, 20, 15, 6, 1 gives us 1771561, or 11 to the power of 6.
Pascal’s triangle contains not only the counting numbers, triangular numbers and square numbers, but also the powers of 2, powers of 11 and Fibonacci’s sequence. How amazing is that from something that starts off seeming so simple and uninspiring!
I have one more post coming up next week on Pascal’s triangle, and it’s a pretty one! So tune back in then!
See the rest of my Pascal’s Triangle posts at


It's important to know how many gallons of water are in your swimming pool. A lot of
swimming pool spring opening chemical kits
are sold based on gallons and it's important to know so you can properly add the right amount of chemicals during your normal maintenance.
To determine how many gallons of water are in your swimming pool, you basically multiply the length, width, depth, then we also use a "multiplier".
If you have a sloped pool or a pool with a deep end, you just figure the average depth. Take the depth of the shallow and deep end. Add them together and divde by two. This gives you a rough estimate of the average depth. If you have a flat bottom pool, you guessed it, your average depth is just the depth of your pool
For Round Pools, you multiply the diameter (in feet) times the diameter (in feet) times the average depth (in feet) times 5.9 (the multiplier).
For Oval Swimming Pools, the calculation is roughly the same, but we change the multiplier. To figure the amount of gallons in an above ground swimming pool, it's length x width x average depth x 6.7 (our multiplier).
For rectangular pools, our equation to figure the amount of water in a swimming pool is lenth x width x average depth x 7.5(our multiplier)
Once you've determined how many gallons of water your swimming pool holds, you can
buy the right amount of pool chemicals.


Dr. Moehlis is a professor of Mechanical Engineering at UCSB and a member of the Center for Control, Dynamical Systems & Computation. He studies dynamical systems from schools of fish to flocks of birds to networks of neurons. Dr. Moehlis has determined how to control populations of neurons, allowing them to be effectively synchronized or desynchronized. He is using these dynamical control strategies to create better interventions for disorders of improper neural synchrony, including Parkinson’s disease and epilepsy. Training & awards: Dr. Moehlis has degrees in Physics & Mathematics from Iowa State and UC Berkeley. He trained at Princeton, where he was an NSF Mathematical Sciences fellow. He was a Sloan Research fellow in Mathematics and won the NSF Career Award.
Phone: (805) 893-7513
Fax: (805) 893-8651
Office: Engineering ll Room 2341


Welcome back to Summer 2, I hope you have all had a lovely half term.
The focus for this term in Maths will be persevering with our times tables, so please make sure that your children are practicing these on a regular basis. Instead of weekly tests, we have been trying speed times tables which the children love! I hope this half term they keep improving their scores. We will also be busy working on our division skills, so any extra work at home would be greatly appreciated.
We will also be continuing with our talk for writing, where the children will be busy making changes and writing their own warning tales, I am very excited to read these.
Our new Field Of Study for this term will be revealed on Thursday.. So watch this space!


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ExperienceI earned a 2340 on my SAT. My Economics major GPA is 4.0, with completion of all core courses: Econ 1, 100A, 100B, and 140. My Business major GPA is also 4.0, with completion of: UGBA 102A, 103, and 107.
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Today in class we learned how to create a spreadsheet. We counted the number of M&Ms in three to five different bags. Then we recorded how many M&Ms there were for each color and each bag. Then we made a chart recording the data. It taught us a lot and will help us in future times.
Also, for extra credit, we could try to find out how to calculate a formula. Most people figured out how to do this. This will also help in the future if we want to calculate big numbers and don't have a calculator.
Overall, this was a very successful class.
Here is a picture of the graph I made.


Scarf and Ribbon Movement Cards- Where have these been all my teaching life? Easy way to create routines with ribbons, streamers or scarves. FUN way to get kids moving and exploring. Print or use the JPGS to create slideshows of my own.
Walk Around Activity: Pythagorean Theorem Review
Trying to find new movement activities for your students? This walk around activity reviews the Pythagorean theorem and lets students get up and move as they practice. For more ideas on how this Pythagorean theorem activity can be used, check out http://craftyteachermama.com/classroom-movement-activities-walk-arounds/ #pythagoreantheorem #walkaroundactivity #movementactivities


Quantum equation predicts universe has no beginning February 9, by Lisa Zyga, Phys.
Introduction Sometimes graphing a single linear equation is all it takes to solve a mathematical problem. This is often the case when a problem involves two variables.
Solving these kinds of problems requires working with a system of equationswhich is a set of two or more equations containing the same unknowns. Systems of Equations A system of equations contains two or more linear equations that share two or more unknowns.
To find a solution for a system of equations, we must find a value or range of values that is true for all equations in the system.
The graphs of equations within a system can tell us how many solutions exist for that system.
Look at the images below. Each show two lines that make up a system of equations in the graph on the right the two lines are superimposed and look like a single line. How many points in common does each system of lines reveal?
No Solutions Infinite Solutions If the graphs of the equations intersect, then there is one solution that is true for both equations.
If the graphs of the equations do not intersect for example, if they are parallelthen there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Remember, the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. When the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system.
When the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution. Graphing as a Solution Method Graphing equations in order to identify a specific point of intersection is usually not a precise way to solve systems because it is often difficult to see exactly where two lines intersect unless you are using a computer-based graphing program that allows you to zoom in on a point.
However, the graph of a system of equations can still give a good idea of what type of solution, if any, exists. How many solutions does this system have? So a system made of two intersecting lines has one solution. How many solutions exist for the system y Plotting both equations, it looks like there is no solution—the lines are parallel.
To check this finding, we can compare the slopes of the equations. Yes, the slope of both lines is 0. They never intersect, so there is no point that lies on both lines, and no solution to the system.
Micaela is trying to find the number of possible solutions for a system of two linear equations. She draws the following graph, which accurately shows parts of the two lines in the system. What can she conclude?
A The system has no solutions. B The system has one solution.
C The system has two solutions. D The system has infinite solutions. Although this view of the graph shows no point of intersection, the two lines do not have the same slope and are slowly converging as x increases, so they will intersect at some point.
The correct answer is that the system has one solution. The two lines in the system are converging as x increases and will eventually intersect, meaning that there is one solution for this system.SOLUTION: Please help.
And thanks in advance Write a system of two linear equations that has. a) only one solution,(2,3). b) an infinite number of solutions.
Time. Time is what a clock is used to measure. Information about time tells the durations of events, and when they occur, and which events happen before which others, so time has a very significant role in the universe's organization.
One equation of my system will be x+y=1 Now in order to satisfy (ii) My second equations need to not be a multiple of the first.
If I used 2x+2y=2, it would share, not only (4, -3), but every solution.
System of Linear Equations - Ch 7. STUDY. PLAY. When a system of equations has an infinite number of solutions,what do the graphed lines look like? They are the same line. When a system of equations has no solution, what do the graphed lines look like?
Parallel and different y-intercept. (Note that with non-linear equations, there will most likely be more than one intersection; an example of how to get more than one solution via the Graphing Calculator can be found in the Exponents and Radicals in Algebra section.) Solving Systems with Substitution.
There can be zero solutions, 1 solution or infinite solutions--each case is explained in detail below. Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case--a stem with exactly 2 lines.


My 6 year old son and I were given the opportunity by Timberdoodle to use and review Daily Word Problems Grade 1 Math. This was particularly exciting for my 6 year old because he LOVES math. The workbook is 110 pages of various math word problems. Addition, subtraction, graphs, simple charts, reading and writing number and words, counting by 2's, 5's and 10's, fractions, time, money, measuring and cute illustrations to go along with the word problems. It has everything. There are even facts about the animals in the word problems.
The content of this workbook is thought provoking, stimulating, but not too difficult while still being challenging. There are some illustrated visual aids for children who may need them. My 6 year old is very much a child who can do math problems, even multi-step problem in his head, but my older son is more of a visual learner, so I do like them being there. My son found Daily Word Problems Grade 1 Math to be fun to do and it wasn't frustrating on my end because the questions are worded in a way he could understand them and understand what he needed to do to solve them. I personally like the entertaining illustrations. They add a little something to the questions and I do not find them to be distracting. I think they make the book a little more fun! I also love the addition of the facts about the animals as does my son. It's just that little extra bit for an eager learner, especially one who loves animals.
Daily Word Problems Grade 1 Math is a workbook I'll be glad to purchase and use again for my younger children. I don't really have anything negative to say about the book. We are really happy with it overall.
Daily Word Problems Grade 1 Math is incorporated in Timberdoodle's 1'st Grade Complete Curriculum Package as well as available for purchase by itself. This workbook as well as hands on kits, educational games and a whole large selection of other educational materials and curriculum are available on the Timberdoodle website or in their Free Catalog.


The Sinmag DIV-20 Rectangular Cut Divider divides dough evenly each time, and saves 10-20 seconds when being compared to manual division. Able to handle many different dough volumes and change the desired dough weight easily.
This divider is able to divide dough piece of 100 g ~ 800 g. The dough tank has a maximum capacity of 16 kg per batch of dough. Depending on the final dough weight per piece, the operator needs to feed into the hopper, the total dough weight of 16 pieces of dough pieces.
Example, if you need the dough weight to be 200 g per piece, then you will need to multiply 200 g x 20, giving you a total dough weight of 4000 g. That means when you place a dough slab of 4000 g, after the machine divides, you will get dough portions of 200 g.


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its a Deal
Here is bad news of death of a mathematics genius:
Death of a scholar is death of nation itself according to the news
Mirzakhani had been hospitalized in the US for falling apart wellbeing conditions caused by tumor repeat, yet she capitulated to the ailment on Saturday, one of her relatives told the Mehr News Agency.
Her restorative tests demonstrated that disease had spread to her bone marrow half a month back.
Maryam's folks ventured out to the US on Monday to join their little girl and her family and deal with them.
Mirzakhani had been determined to have bosom growth four years prior, a year prior to she set the record of the main ever lady to win the esteemed Fields Medal, otherwise called the Nobel Prize of arithmetic.
The therapeutic group had put the virtuoso mathematician under escalated care to treat her third repeat of disease.
In response to her passing, Iranian space researcher Firouz Naderi said in his Instagram page, "A light was killed today. It makes me extremely upset… Gone excessively soon."
Conceived in 1977 in Tehran, Mirzakhani was brought up in the Iranian capital. As a splendid young person, she won gold awards in both the International Mathematical Olympiad (Hong Kong 1994), in which she scored 41 out of 42 focuses, and the International Mathematical Olympiad (Canada 1995) with an ideal score of 42 out of 42 focuses, positioning her first together with 14 different members.
The math virtuoso got her Bachelor of Science in arithmetic from Iran's lofty Sharif University of Technology in 1999. She later went to the US to facilitate her training, acquiring a PhD degree in science from Harvard University in 2004.
She turned out to be full educator of arithmetic at 31 years old in 2008 at Stanford University where she is as of now addressing.
Mirzakhani got Blumenthal Award from the American Mathematical Society in 2009. She was likewise granted the 2013 biennial Ruth Lyttle Satter Prize in Mathematics by the American Mathematical Society, and collected the 2014 Clay Research Award from the Clay Mathematics Institute.
In any case, the most essential of every one of her honors was the 2014 Fields Medal that she won in acknowledgment of her commitments to the comprehension of the symmetry of bended surfaces. This award, ordinarily seen as the most noteworthy respect a mathematician can get, is given like clockwork to mathematicians less than 40 years old, by the International Congress of the International Mathematical Union (IMU).
Mirzakhani's exploration advantages basically included Teichmüller hypothesis and ergodic hypothesis. About her numerical way to deal with growing new evidences, she had said "it resembles being lost in a wilderness and attempting to utilize all the learning that you can accumulate to think of some new traps, and with some fortunes you may discover an exit plan."
Mirzakhani was hitched to Jan Vondrák, a Czech hypothetical PC researcher who works at IBM Almaden Research Center. They have a little girl named Anahita.
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Math Genius Mirzakhani Dies of Cancer | Iranian mathematics prodigy Maryam Mirzakhani dies at 40
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"Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use." please just email at if you need any question to ask: firstname.lastname@example.org


Computer science shares some of the prescriptive qualities of control theory, in the sense that some objective is prescribed, and means are sought to ful. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Control theory is a branch of applied mathematics, and as such doesnt really have a predefined mathematical foundation. Consider the problem of a spacecraft attempting to make a soft landing on the moon using a minimum amount of fuel. Balakishnan, linear matrix inequalities in system and control theory, siam studies in applied mathematics, isbn 089871. The goal of this book is to present a theory of feedback control system design that captures the essential. I think the book control theory presents useful, practical information that can be used immediately in your life.
The practical limits of control systems are explored, and the relevance of these to control design are discussed. Control theory is a branch of applied mathematics dealing with the use of feedback to influence the behaviour of a system in order to achieve a desired goal. Publication date 19670101 topics optimal control theory collection. An introduction and millions of other books are available for amazon kindle. Evans department of mathematics university of california, berkeley chapter 1. The chapter on loop shaping introduces many of the ideas of modern control theory, including the sensitivity function. The introduction is intended for someone acquainted with ordinary. For ex ample, feedback or closed loop systems is employed to achieve response time. Control systems are most often based on the principle of feedback, whereby the signal to be controlled is compared to a desired reference signal and the discrepancy used to compute corrective control action.
Feedback control is central to managing computing systems and networks. This site is like a library, you could find million book here by using search box in the header. Optimal control theory with applications in economics the. The course on control theory is concerned with the analysis and design of closed loop. Enter your mobile number or email address below and well send you a link to download the free kindle app. This book originates from several editions of lecture notes that were used as teaching material for the course control theory for linear systems, given within the framework of the national dutch graduate school of systems and control, in the period from 1987 to 1999.
In chapter 12, we pull together the results from the second half of the book to analyze the fundamental tradeo. I a more general theory began to emerge in the 1950s and 60s i in 1957 bellman published his book on dynamic programming. Optimal control theory and the linear bellman equation hilbert j. In particular, these notes should provide the necessary tools for the 4th year control courses and the control m. Are there any recommendations on control theory books that might help me out. Carefully assembled by a distinguished editorial board to ensure that each paper contributes to the whole, rather than exist as a separate entity, this is the first book to document the. I am aware that there are several excellent books where the same topics are dealt with in detail. Optimal control theory is an outcome of the calculus of variations, with a history stretching back over 360 years, but interest in it really mushroomed only with the advent of the computer, launched by the spectacular successes of optimal trajectory prediction in aerospace applications in the early 1960s. Control theory applied mathematics university of waterloo. Many examples illustrate the mathematical issues that need t. Introduction to optimal control one of the real problems that inspired and motivated the study of optimal control problems is the next and so called \moonlanding problem. Introduction to control theory and its application to computing. This webpage contains a detailed plan of the course as well as links to.
It views an agent as an automaton that seeks to maximize expected reward or minimize cost over some future time. Optimal control theory in application to biology short course lectures and lab notes book. Optimal control theory emanuel todorov university of california san diego optimal control theory is a mature mathematical discipline with numerous applications in both science and engineering. Download optimal control theory and static optimization in. Robust control, theory and applications intechopen. Optimal control theory an introduction by donald e.
Twentyfive seminal papers 19321981 begins with an introduction. Methods, theory, and practices in optimal control synthesis 1. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Glassers book choice theory 1998 updated and added to what is said in control theory 1984. Technically rigorous and largely selfcontained, it provides an introduction to the use of optimal control. An introduction to mathematical optimal control theory. An introduction dover books on electrical engineering. A twoport framework for robust and optimal control introduces an alternative approach to robust and optimal controller synthesis procedures for linear, timeinvariant systems, based on the twoport system widespread in electrical engineering. Kirk the instructor solutions manual is available in pdf format. The introduction is intended for someone acquainted with ordinary differential equations and real variables, but with no prior knowledge of control theory. Evans department of mathematics university of california, berkeley. The book is designed for use in a 1015 week course in feedback systems. Invaluable as a reference for those already familiar with the subject.
Geared toward upperlevel undergraduates, this text introduces three aspects of optimal control theory. Balakishnan, linear matrix inequalities in system and control theory, siam studies in applied mathematics, isbn 0. What are good books for control of linear and nonlinear systems. The main result of this period was the wienerkolmogorov theory that addresses linear siso systems with gaussian noise. What is the best book for system and control theory. Optimal control applied to biological models crc press, 2007, lenhart and j. Control theory is an ideal textbook for finalyear undergraduate and postgraduate courses, and the student will be helped by a series of exercises at the end of each chapter. The main objective of this monograph is to present a broad range of well worked out, recent theoretical and application studies in the field of robust control system analysis and design. Control theory, developed in the twentieth century, is the subject of this compilation of 25 annotated reprints of seminal papers representing the evolution of the control field. It is emerging as the computational framework of choice for studying the neural control of movement, in much the same way that probabilistic infer.
Feedback control theory systems control group university of. The rst order necessary condition in optimal control theory is known as the maximum principle, which was named by l. Click download or read online button to get introduction to optimal control theory book now. The next example is from chapter 2 of the book caste and ecology in social insects, by g. Optimal control theory is a branch of applied mathematics that deals with finding a control law for a dynamical system over a period of time such that an objective function is optimized. Publication date 19670101 topics optimal control theory.
The report presents an introduction to some of the concepts and results currently popular in optimal control theory. Optimal control theory and the linear bellman equation. A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This is an 11 part course designed to introduce several aspects of mathematical control theory as well as some aspects of control in engineering to mathematically mature students. This book grew out of my lecture notes for a graduate course on optimal control theory which i taught at the university of illinois at urbanachampaign during the period from 2005 to 2010. An introduction for scientists and engineers karl johan. What is the mathematical foundation of control theory. Instead of just providing a pdf ive decided to write an ebook that will. In contrast, optimal control theory focuses on problems with continuous state and exploits their rich di. This book presents his control theory which details how each one of us can better control our emotions and actions to live healthier and more productive lives. This webpage contains a detailed plan of the course as well as links to home work hw assignments and other resources. Optimal control theory and static optimization in economics pdf doc free download download torrent optimal control theory and static optimization in economics pdf epub free free download optimal control theory and static optimization in economics pdf. The material covered includes the problems of controllability, controllability using special e.
This fully revised and updated edition of control theory addresses recent developments in the field. Graduatelevel text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems. This site is like a library, use search box in the widget to get ebook that you want. I like the general control systems books from nise control systems engineering by norman s. You can now get the book, the fundamentals of control theory here. An introduction to mathematical optimal control theory version 0. Optimal control theory kirk solution manual pdf book. In engineering and mathematics, control theory deals with the behaviour of dynamical systems. Then you can start reading kindle books on your smartphone, tablet, or computer no kindle device required. Also, i would recommend looking at the videos of the edx course underactuated robotics, taught by professor russ tedrake of mit.
Pontryagins maximum principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another, especially in the presence of constraints for the state or input controls. The aim of this course is to provide an extensive treatment. The novel use of the twoport system in this context allows straightforward engineeringoriented solutionfinding procedures. The desired output of a system is called the reference. So now its our turn to take a look at how we can control systems. All books are in clear copy here, and all files are secure so dont worry about it. An introduction dover books on electrical engineering kindle edition by kirk, donald e download it once and read it on your kindle device, pc, phones or tablets. Fundamental concepts linear systems transient response classification frequency domain descriptions 4 linearity this is the homogenous property of a linear system f ku k f u for a linear system, if a scale factor is applied to the input, the output is scaled by the same amount. An introduction to optimal control ugo boscain benetto piccoli the aim of these notes is to give an introduction to the theory of optimal control for nite dimensional systems and in particular to the use of the pontryagin maximum principle towards the constructionof an optimal synthesis.
Firstly, to solve a optimal control problem, we have to change the constrained dynamic optimization problem into a unconstrained problem, and the consequent function is known as the hamiltonian function denoted. Stefan simrock, tutorial on control theory, icaelepcs, grenoble, france, oct. Modern control theory a historical perspective pdf. One can distinguish two classes of systems for which control theory plays an indispensable role, namely manmade systems and biological systems. An introduction to the theory and its applications by peter falb and michael athans, also published by dover. Publication date 19670101 topics optimal control theory collection folkscanomy. The chapter on frequency domain design introduces many of the ideas of modern control theory, including the sensitivity function. During the past decennia, people have actually gotten quite good at it.
Optimal control theory with applications in economics. In optimal control theory, after formulating a problem appropriate to the scenario, there are several basic problems. Nonlinear and optimal control theory lectures given at the c. An introduction to optimal control applied to disease models. It explores linear optimal control theory from an engineering viewpoint, with illustrations of practical applications. Control theory in control systems engineering is a subfield of mathematics that deals with the. Motion equations and basic control theory applied to stability and response analyses of flexible launch vehicle using unified coordinate system and notation. I am currently learning arduino, and would like to move past simple designs. When one or more output variables of a system need to follo w a certain ref. Moore prentice hall, 1971 this book constructs a bridge between the familiar classical control results and those of modern control theory.
Introduction to optimal control theory download ebook. The additive property of a linear system is f u1 u2 f u1 f u2. In chapter 12, we pull together the results from the second half of the book to analyze some of the fundamental tradeoffs between robustness and performance. It discusses how the rise of h and similar approaches has allowed a combination of practicality, rigor and user interaction to be brought to bear on complex control problems and has helped bridge the gap between control theory and practice. What are good books for control of linear and nonlinear. Summer school held in cetraro, italy, june 1929, 2004 editors. Stefani springer berlin heidelberg newyork hongkong london milan paris tokyo. Mar 16, 2017 carefully assembled by a distinguished editorial board to ensure that each paper contributes to the whole, rather than exist as a separate entity, this is the first book to document the research and accomplishments that have driven the practice of control.
You can also nd one on the page of the di erential equations course. It has numerous applications in both science and engineering. Simr oc k desy,hamb urg, german y abstract in engineering and mathematics, control theory deals with the beha viour of dynamical systems. Nonlinear optimal control theory presents a deep, wideranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. An introduction to optimal control applied to disease models suzanne lenhart university of tennessee, knoxville. Nonlinear control systems anu college of engineering. Use features like bookmarks, note taking and highlighting while reading optimal control theory. Solution manual optimal state estimation dan simon solution. Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Chapter 1 presents an introduction to control systems. It states that it is necessary for any optimal control along with the optimal state trajectory to solve the socalled hamiltonian system, which is a twopoint.759 1223 1596 200 830 513 953 280 1047 318 1508 269 275 493 746 1525 161 13 698 462 1546 1367 435 1199 1424 792 269 1557 1235 1480 1521 644 1446 118 850 383 245 549 1454


The graphs I produced, such as this one
seem to show clustering of results around what the cassette offers (its a Shimano 105 11-28 so has 11-12-13-14-15-17-19-21-24-28).
The next question is: if these are my results from actual ride data, what would a theoretical approach look like?
So I took the data from a longer ride (roughly 65km over 2.25 hours giving about 10,000 data points), and again plotted speed vs cadence: NB speed in kph, cadence in Hz.
Again, I used Google Spreadsheets to calculate theoretical values. What I did was to create a matrix of speed vs teeth, and each data point is the cadence in Hz, populated using the formula discussed previously:
which I've plotted. Each coloured line represents a particular sprocket
So is the analytical model valid? Here's the two charts overlaid and scaled
Next: is the pedal cadence I've arbitrarily set OK? I test this in a bit...


PhD Seminar with Harald van Heerde and Valentyna Melnyk, Massey University
This workshop runs from Wednesday 28 June (around 1pm) till Friday 30 June (around 5pm). The workshop covers Dynamic Linear Models. These are essentially linear regression models with time-varying parameters. The workshop will cover model specification and estimation (using Bayesian techniques) as well as marketing applications.
We will use the software package Gauss for coding your own DLM program. The code you will develop through a set of exercises will estimate DLMs based on both artificial data and actual data. The reason for Gauss is that it is a matrix language that has a direct match with the calculations that need to be made. In addition, the instructor (van Heerde) has all his code in Gauss and he has a lot experience in Gauss. If you prefer to use another package such as R, Matlab or Stan, you are free to do the exercises in this package.


VUstat is a program with a wealth of possibilities to illustrate ideas in statistical education.
VUstat is the statistical package for secondary education for students and teachers.
VUstat comes with data and simulations to enhance teaching statistics and probability for students from the age of 12.
De nederlandstalige site vindt u op
- Data analysis enables you to make the usual tables and graphs It has some advanced options, but the main purpose is to
make the analysis of data easier to understand for student who is neither a statistics expert nor a computer whiz kid.
The selection and splitting of the data is made straightforward.
- Dataplot enables students to make graphs of data. Dataplot is a small environment, especially useful for
analysing frequency tables. Traditionally much teaching concentrates on frequency tables. Dataplot allows the students to
do more then drawing graphs, it lets the student concentrate on the more sensible task of comparing and interpreting data.
- Make data. Created data by the student himself stimulates interest. The data can be analyzed with the module data
analysis. Reaction times, beat time (metronome), predictability of typing behaviour are environments to create data.
- Trees. A tree diagram visualises a probability tree from different viewpoints. Both a regular tree and a free tree
are possible to construct. The module Urn shows the probabilities when drawing balls from an urn with or without replacement.
- Probability. Distributions: The binomial, Poisson, t-distribution and normal distributions can easily be manipulated
by students. The central limit theorem is demonstrated with skewed and normal dice.
Students are able to handle and understand absolute frequencies much better than they do with
relative frequencies and probabilities. In Galton board simulated and theoretical values are presented. In module Grid, the number
of routes in a grid is shown. Combinatorics has a strong link to probability. This module introduces systematic counting,
illustrated with colours or numbers.
- Simulations, Applied simulations. These parts of the program lets the student run different simulations where
he or she can interpret the data. This includes classical simulations such as throwing coins and dice, random generators
and many more simulations.
- Sampling. By playing with the module sampling distribution the students develop intuition about the sampling distribution
from one population. Similar modules exists about two sampling from two populations, regression and one-way and two way ANOVA. Dancing samples shows the variability of the sample from a finite population with graphs.
- Testing hypotheses. The difficult subject of testing a hypothesis is made comprehensible with a structured
setup to formulate the test and the sample. The p-value is shown so that the student can easily see what is going on.
Our conviction is that pictures that can be manipulated are helpful to give real understanding to most students prior to making
VUstatplus does contain additional advanced modules for tertiary education.
For economics and business students there are decision trees and game trees.
Many parts of the program can be turned off so that the student is not confronted with too much complexity at any given stage.


March 28, 2019 500 AM
Presidio High School Geometry teacher Taro Gutierrez is the Teacher of the Month.
Originally from Ojinaga, Chihuahua, Mexico, he attended Sul Ross State University and New Mexico State University where he obtained his master’s degree in accountancy. He obtained his teacher certification through Sul Ross State University teacher preparation program.
Currently he is pursuing a master’s degree in Education Leadership from the University of Texas of the Permian Basin or UTPB. He will complete the program this coming September and one of his goals is to become a school administrator. Mr. Gutierrez was a Math teacher at Lucy Rede Franco Middle School and currently is teaching Algebra and Geometry at Presidio High School. He’s been teaching for 16 years now in the PISD district.
He is a very dedicated educator/he begins his class promptly and in a well-organized way.
He has deep knowledge and passion for his subject matter and he-has the ability to build caring relationships with students. He has a good sense of humor and high expectations for all of his students and he enjoys teaching
Congratulations Mr. Gutierrez.


91 Double 12 Professional Number Dominoes. Puremco's Number Dominoes ease the playing of Double 6, 9 and 12 domino games by using large color-coded, recessed numbers to replace the traditional dots.
91Double 12 Professional, Number Dominoes with Jumbo Colored Numerals. It is the newest way to play Mexican Train, Chickenfoot, and all your favorite domino games. Once you have played with Number Dominoes, you may never want to play with Dots again.


Main / Racing / Liber abaci
Liber Abaci is a historic book on arithmetic by Leonardo of Pisa, known later by his nickname Fibonacci. Liber Abaci was among the first Western books to. First published in , Fibonacci's Liber abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. Though it is known as an introduction to the Hindu number system and the algorithms of arithmetic that. When Leonardo’s Liber abaci first appeared, Hindu-Arabic numerals were known to only a few European intellectuals through translations of the writings of the 9th-century Arab mathematician al-Khwārizmī. return to Italy, Fibonacci wrote Liber Abbaci (“Book of the Abacus.
Mathematical Treasure: Fibonacci's Liber Abaci. Author(s). Cynthia J. Huffman ( Pittsburg State University). Fibonacci, also known as Leonardo of Pisa or. 13 Dec His book, Liber Abaci (Book of Calculation), introduced the Hindu numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to Europe, along with the Latinized. 6 Apr Abstract ( Update): The â€œLiber Abaciâ€, a AD Latin text, primarily scaled vulgar fractions n/p to unit fraction by seven distinctions.
Fibonacci's Liber Abaci: A Translation into Modern English of Leonardo Pisano's Book of. Calculation, by L.E. Sigler [Springer ]. BACKGROUND. “The nine. First published in , Fibonacci's Liber abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and. 20 Apr A page of Fibonacci's Liber Abaci from the Biblioteca Nazionale di Firenze showing (in box on right) the Fibonacci sequence with the position in. Fibonacci's Liber Abaci has 8 ratings and 1 review. Malcolm said: Detailed and time consuming but certainly worth the time. By my reckoning a book that s. 16 Jul The Latin phrase filius bonacci, in the first line of the Liber Abaci manuscript ( above), gave rise to Leonardo da Pisa's modern nickname.
In addition to the observations by @Ioannis M. Vandoulakis on Liber Abaci and Greek arithmetic, it should be observed that the Fibonacci sequence is closely. 11 Jan Since I mentioned the book Liber Abaci, written in by Leonardo Pisano ( better known as Fibonacci) in an earlier post, I may as well quote. Leonardo of Pisa is better known to us these days as Fibonacci. His Liber Abaci was first published in , with a revised version appearing in For its first . 4 Nov The Roman numerals were not displaced until the mid 13th Century AD, and Leonardo Pisano's book, Liber Abaci (which means "The Book of.
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Imagine a teacher wants to test his students’ math ability. He gets them to stand in a line and he starts at the top, asking the first student: “What is 8 * 9?” The student replies with the correct answer almost immediately and can sit down. Things are going well. Except the teacher now asks a really difficult question to the next student and she has think for a whole minute. Meanwhile, all remaining students are idly waiting in line. Eventually the teacher gets to the end of the line, but the math test took up the whole class.
This is how blocking processes work.
A different teacher conducts her math tests like this: She lines up the students, quickly moves down the line giving each a card with the problem to be solved, and she then stands by the whiteboard ready to write down their answers. The students are now working on their problems simultaneously and nobody is idle.
This seems like a very fast and effective way of conducting a math test and things are going well. Except these students, though brilliant at math, have zero common sense (much like computer programs). They solve their problems but then don’t know to report their answers to the teacher. Fortunately, the teacher foresaw this and wrote what to do on the back of the card. After completing their problems, the students turn over their cards and follow the instructions to move to the board and tell the teacher the answer. In programming this secondary instruction is called a “callback”.
Though this “non-blocking” style is a little more complicated than the previous “blocking” style, the math test has been completed in a fraction of the time and the class can get on with doing something else. Great, right? No wonder Twitter switched over from Ruby, a blocking language, to Node, non-blocking.
Okay this time, imagine a slightly different scenario. The class is studying Japanese and wants to learn the language for days of the week. The teacher, however, doesn’t speak Japanese and so instructs the students to look up the words in their dictionaries. To speed up the process, she delegates each day, Monday through Sunday, to a different student. Their secondary, “callback”, instruction is to move to the board and report the answer to the teacher.
Here we hit a snag: some students are faster with the dictionary than others. In fact, the student looking up “Friday” returns to the board first and his answers gets written down first. In the end the class has a list of seven Japanese words but no idea which of the days of the week each corresponds to. Clearly the “callback” instruction to the students was inadequate: they should, perhaps, have been told to report the English word given to them along with the Japanese translation.
I hope this elaborate metaphor has given you some insight into the relative merits of blocking and non-blocking processes. =)


Fate, if you believe in it, is an odd and capricious thing.
If Larry Brady had been able to fold proper paper airplanes, I would never have learned calculus in high school, so I would have been forced to take it in college — most likely with a thickly accented professor — and failed it miserably thereby not finishing my degree and likely dooming myself to a life of more misery and failure than I already have endured.
I guess one could safely say I owe a lot to Mr. Brady.
Budge and I were talking about math last night. Why, I don’t know. It’s one of those strange conversations married people have. Anyway, Budge HATES math. I blame Dad. Patience is not one of Dad’s cardinal virtues. He scarred her for life when he tried helping her with her algebra homework.
So we were talking about different kinds of math and Budge mentioned that she didn’t understand trigonometry. In about 15 minutes, I’d explained to her what it was, who used it, and why. I also gave her a rundown on mnemonics for the main trig functions. She wanted to know why it was so easy for me to learn and remember all this when she’d had such an impossible time with her high school math classes.
I answered her, “That’s easy; you never had Mr. Brady for a math teacher.”
As he explained to us in class in one of the precious few moments we managed to bump him slightly off topic, had Mr. Brady managed to conquer paper airplane origami at North Carolina State University, he would have pursued a degree and career as an aeronautic engineer. Unfortunately, he couldn’t get the hang of folding the paper the way this particular professor wanted it folded so he changed his major to mathematics and ended up, somehow, as a teacher. I’m not certain on the mechanism of fate, but I do know that fortuitous alignment of the stars resulted in a generation of math students at Laurens District 55 High School being blessed without measure by putting one of the most gifted instructors to every pick up a blue Marks-A-Lot overhead pen into the classroom.
Lest anyone reading this think Mr. Brady was so memorable because he was easy, happy-go-lucky, loosey-goosey, and tried being our friend, PLEASE get a grip. Mr. Brady had a dry sense of humor, genuinely enjoyed teaching, and loved three things above all else — basketball, math, and his two daughters, one of whom was my classmate.
He was friendly, but he was a teacher first. He was one of the most organized human beings I ever met — at least in the classroom. Most of all though, he was decidedly NOT an easy teacher. Earning Cs in his class was honorable, Bs were a sign of hard work, and As — well, As in Mr. Brady’s class were the Maltese Falcons of the LDHS55 math department.
What made Mr. Brady unique was his ability to teach any concept, no matter how abstract or outrageous, to anyone. I am convinced, within two semesters, he could teach a lab rat to play “Ode to Joy” on a miniature grand piano. He knew no less than five ways to do any problem. If, by chance, a brain-dead stoner in one of his classes couldn’t “get it” using one of those five ways, Mr. Brady didn’t get mad or frustrated — he made up a sixth way on the spot, just like he made up all his classroom examples — on the spot. Now, in case that doesn’t impress you, try making up a problem involving L’Hopital’s Rule on the spur of the moment to get an answer that is neat and easy to use as a teaching example.
He was amazing.
Lest anyone think Mr. Brady was one of those Ivory Tower Birds who could only teach the cream of the crop, be advised that he taught EVERYTHING in the math department. Remedial Mathematics to AP Calculus, he taught them all with the same passion and expertise. He was one of the minuscule fraction of teachers who could — and would — teach all students well and without complaint.
We spend a lifetime trying to forget some teachers. Others, we remember, but for all the wrong reasons. We recall many personalities, but precious little of the subject matter they once imparted to us. Mr. Brady wasn’t like that at all. I suppose the best way to finally impress upon you the man’s ability as an educator is to reveal that I made a 3 on the AP Calculus “AB” Exam at the end of his class. I can’t remember how many of us passed with a 3 or better, but it was a typically phenomenal ratio for his calculus classes. He taught me so well and so thoroughly that I still maintain some knowledge of calculus today — 21 years later — having never found a reason to use it.
The man was good. He was a teacher par excellance and I hope that, wherever he is today and whatever he’s doing (he’s retired, but that’s all I know), he’s reaping a generous reward for making two otherwise unbearable years a little brighter for me.
Good on ya’, Mr. Brady, wherever you are!
Love y’all and don’t remember to wash your feet.
Author’s Update September 6, 2006: When I first published this entry on my blog, I sent a copy to Mr. Brady’s daughter, Sally, to pass on to her dad since I didn’t know where he was living or any of his contact information. Sally wrote me back telling me how much she appreciated the tribute, but that she would be unable to pass it on to her father. Unbeknown to me, and to my great and lasting sorrow, Mr. Larry Brady — finest math teacher ever to pace the classroom — passed away in January of 2006 after a series of strokes. I had no idea. Resquiescat In Pace, Mr. Brady, and thank you so much.


Apprenez à coder en Python avec les 101 cartes de ce coffret pédagogique. Classées par thèmes (instructions conditionnelles, fonctions, classes, tests...), ces cartes présentent les concepts et la syntaxe de Python, avec au recto des questions et au verso les réponses illustrées par de nombreux exemples.
Portant sur la version 3.x du langage Python, qui est au programme du lycée, ce coffret peut s'utiliser en classe, en ateliers, à la bibliothèque, ou à la maison.
Most of the 23 million American men who lift weights do so to get bigger; unfortunately, many of them are going nowhere with watered-down bodybuilding routines that don't help them actually get stronger. Eric Cressey's cutting-edge four-phase program, featuring constant progression, variation, and inspiring goals, keeps you focused on increasing strength along with muscle mass, helping you achieve the fittest, most energetic, and best-looking body you've ever had-with fewer hours at the gym.
This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations. The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche's method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media. This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.