Mathematics

 

 


 

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E.g., 2017-07-19
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Aug 1st 2017

Learn the mathematical theory of linear differential equations and their application to systems such as the mass-spring system and other linear oscillations. Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations. This course is an introduction to the mathematical theory of ordinary differential equations and follows a modern dynamical systems approach.

Average: 7.3 (3 votes)
Jul 24th 2017

Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years. Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself.

Average: 7.2 (6 votes)
Jul 24th 2017

This course is an introduction to the finite element method as applicable to a range of problems in physics and engineering sciences. The treatment is mathematical, but only for the purpose of clarifying the formulation. The emphasis is on coding up the formulations in a modern, open-source environment that can be expanded to other applications, subsequently.

Average: 5.9 (9 votes)

Jul 24th 2017

Explore and solve encrypted maths puzzles, in which numbers are replaced by letters or symbols, with this free online course. On this free online course, we’ll look at three types of maths puzzle, exploring their history, meeting the puzzlists who created them, and studying and practising problem-solving techniques.

Average: 6.9 (18 votes)
Jul 24th 2017

How do we infer which genes orchestrate various processes in the cell? How did humans migrate out of Africa and spread around the world? In this class, we will see that these two seemingly different questions can be addressed using similar algorithmic and machine learning techniques arising from the general problem of dividing data points into distinct clusters.

Average: 8.2 (11 votes)
Jul 24th 2017

An introduction to dynamical modeling techniques used in contemporary Systems Biology research. We take a case-based approach to teach contemporary mathematical modeling techniques. The course is appropriate for advanced undergraduates and beginning graduate students. Lectures provide biological background and describe the development of both classical mathematical models and more recent representations of biological processes. The course will be useful for students who plan to use experimental techniques as their approach in the laboratory and employ computational modeling as a tool to draw deeper understanding of experiments.

Average: 1 (1 vote)

Jul 24th 2017

This course explains how you can use numbers to describe the natural world and make sense of everything from atoms to oceans. This practical, hands-on course will help you to start thinking like a scientist, by using numbers to describe and understand the natural world.

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Jul 24th 2017

Ce cours d'introduction aux probabilités a la même contenu que le cours de tronc commun de première année de l'École polytechnique donné par Sylvie Méléard.

Average: 8 (1 vote)
Jul 24th 2017

In this course, you will learn the science behind how digital images and video are made, altered, stored, and used. We will look at the vast world of digital imaging, from how computers and digital cameras form images to how digital special effects are used in Hollywood movies to how the Mars Rover was able to send photographs across millions of miles of space.

Average: 6.5 (4 votes)
Jul 24th 2017

Une fonction discontinue peut-elle être solution d'une équation différentielle? Comment définir rigoureusement la masse de Dirac (une "fonction" d'intégrale un, nulle partout sauf en un point) et ses dérivées? Peut-on définir une notion de "dérivée d'ordre fractionnaire"? Cette initiation aux distributions répond à ces questions - et à bien d'autres.

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Jul 24th 2017

Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial structures. This course introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and methods in complex analysis for deriving accurate asymptotics from the GF equations.

Average: 4.3 (12 votes)

Jul 24th 2017

Ce cours d'introduction aux probabilités a la même contenu que le cours de tronc commun de première année de l'École polytechnique donné par Sylvie Méléard.

Average: 8.5 (2 votes)
Jul 24th 2017

Data science courses contain math—no avoiding that! This course is designed to teach learners the basic math you will need in order to be successful in almost any data science math course and was created for learners who have basic math skills but may not have taken algebra or pre-calculus. Data Science Math Skills introduces the core math that data science is built upon, with no extra complexity, introducing unfamiliar ideas and math symbols one-at-a-time.

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Jul 21st 2017

Мы будем учиться находить и оценивать зависимости в реальных данных, а также визуализировать, интерпретировать и использовать их для прогнозирования. We will learn to identify and estimate relationships in the real data, as well as visualize, interpret and apply them for making predictions.

Average: 5.5 (2 votes)

Jul 17th 2017

Este curso forma parte de una secuencia con la que se propone un acercamiento a la Matemática Preuniversitaria que prepara para la Matemática Universitaria. En él se asocia un significado real con el contenido matemático que se aprende y se integran tecnologías digitales en el proceso de aprendizaje.

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Jul 17th 2017

This is a course about the Fibonacci numbers, the golden ratio, and their intimate relationship. In this course, we learn the origin of the Fibonacci numbers and the golden ratio, and derive a formula to compute any Fibonacci number from powers of the golden ratio.

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Jul 17th 2017

This course will cover the mathematical theory and analysis of simple games without chance moves. This course explores the mathematical theory of two player games without chance moves. We will cover simplifying games, determining when games are equivalent to numbers, and impartial games.

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Jul 17th 2017

Discrete mathematics forms the mathematical foundation of computer and information science. It is also a fascinating subject in itself. Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. Perhaps more importantly, they will reach a certain level of mathematical maturity - being able to understand formal statements and their proofs; coming up with rigorous proofs themselves; and coming up with interesting results.

Average: 5.3 (3 votes)
Jul 17th 2017

Curso diseñado para facilitar la entrada del estudiante en los cursos de cálculo de primer semestre de prácticamente cualquier grado universitario, con especial énfasis en Ciencias e Ingeniería.

Average: 5 (1 vote)
Jul 17th 2017

This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to help prepare students to enroll for a first semester course in single variable calculus.

Average: 4.9 (10 votes)

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