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Jan 25th 2017

Learn the mathematics behind linear algebra and link it to matrix software development. Linear Algebra: Foundations to Frontiers (LAFF) is packed full of challenging, rewarding material that is essential for mathematicians, engineers, scientists, and anyone working with large datasets.

Average: 8.6 (5 votes)
Jan 23rd 2017

Financial Engineering is a multidisciplinary field involving finance and economics, mathematics, statistics, engineering and computational methods. The emphasis of FE & RM Part II will be on the use of simple stochastic models to (i) solve portfolio optimization problems (ii) price derivative securities in various asset classes including equities and credit and (iii) consider some advanced applications of financial engineering including algorithmic trading and the pricing of real options. We will also consider the role that financial engineering played during the financial crisis.

Average: 9.1 (7 votes)
Jan 23rd 2017

Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so abstract ends up explaining the real world. Calculus plays a starring role in the biological, physical, and social sciences. By focusing outside of the classroom, we will see examples of calculus appearing in daily life.

Average: 5.3 (18 votes)
Jan 23rd 2017

This is a master course given in Moscow at the Laboratory of Algebraic Geometry of the National Research University Higher School of Economics by Valery Gritsenko, a professor of University Lille 1, France. Jacobi forms are holomorphic functions in two complex variables. They are modular in one variable and abelian (or double periodic) in another variable. The theory of Jacobi modular forms became an independent research subject after the famous book of Martin Eichler and Don Zagier “Jacobi modular forms” (Progress in Mathematics, vol. 55, 1985) which was cited more than a thousand times in research papers.

Average: 9 (1 vote)
Jan 23rd 2017

Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"

Average: 7.4 (5 votes)
Jan 23rd 2017

Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles.

Average: 9.5 (2 votes)
Jan 23rd 2017

Los cursos de Cálculo Diferencial y Cálculo Integral tradicionalmente se ofrecen separados y respetando ese orden. El primero estudia la derivada, y el segundo, la integral, siendo este momento en el que aparece el Teorema Fundamental del Cálculo (TFC) para establecer la relación entre ambos conceptos. En el presente curso vamos a hacer una diferencia: introduciremos la derivada y la integral como conceptos relacionados desde un principio.

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Jan 23rd 2017

Galileo dijo: "El Universo está escrito en lenguaje matemático y los caracteres son triángulos, círculos y otras figuras geométricas, sin las que es humanamente imposible entender una sola palabra". Para entender el Universo, es necesario plantear leyes que expliquen su comportamiento, como pueden ser las leyes de la gravedad, la propagación del calor, el electromagnetismo, la reproducción celular, el crecimiento poblacional, la propagación de las enfermedades, la variación de los precios de las acciones en la bolsa de valores, el comportamiento de las masas ante un conflicto, etcétera.

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Jan 23rd 2017

Learn how to use math and science to solve everyday problems and better prepare yourself to continue studying science in high school and beyond. Have you ever wondered how you can apply math and science skills to real life? Do you wish you could go beyond what you've learned in the classroom? This science course will advance your knowledge as we unpack some important scientific thinking skills using real-world examples.

Average: 4 (3 votes)
Jan 17th 2017

An introduction to probabilistic models, including random processes and the basic elements of statistical inference. The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical inference are the keys to analyzing data and making scientifically sound predictions.

Average: 9 (2 votes)
Jan 16th 2017

Este curso provee al estudiante con conceptos y herramientas matemáticas para modelar problemas en física, que al aplicar podrá enfrentar con éxito los cursos de física universitarios. Así pues, la filosofía de este curso consiste en cubrir temas conceptuales relativos a la Física y desarrollar tu capacidad de aprender y aplicarlos en tu vida profesional.

Average: 1 (1 vote)
Jan 16th 2017

Learn fundamental concepts in data analysis and statistical inference, focusing on one and two independent samples.

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Jan 16th 2017

Learn how probability, math, and statistics can be used to help baseball, football and basketball teams improve, player and lineup selection as well as in game strategy.

Average: 6.5 (11 votes)
Jan 16th 2017

¿Por qué las grúas no se vuelcan al levantar grandes pesos? ¿por qué las mesas sólo necesitan tres patas (no alineadas) para apoyarse? Este curso te guiará paso a paso en los conocimientos básicos para entender el equilibrio de estructuras simples.

Average: 7 (1 vote)
Jan 16th 2017

This class presents the fundamental probability and statistical concepts used in elementary data analysis. It will be taught at an introductory level for students with junior or senior college-level mathematical training including a working knowledge of calculus. A small amount of linear algebra and programming are useful for the class, but not required.

Average: 7 (6 votes)
Jan 9th 2017

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. In addition, this course covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.

Average: 9 (2 votes)
Jan 9th 2017

The purpose of this course is to review the material covered in the Fundamentals of Engineering (FE) exam to enable the student to pass it. It will be presented in modules corresponding to the FE topics, particularly those in Civil and Mechanical Engineering.

Average: 5 (5 votes)
Jan 9th 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.

No votes yet
Jan 9th 2017

Problem-solving is a powerful approach for teaching students to develop mathematical concepts and skills. This methodology is not about teaching a specific problem-solving skill to students; it’s about students using problem-solving and collaboration skills to develop their mathematical skills and solidify their identities as capable problem-solvers.

Average: 10 (2 votes)
Jan 9th 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 (8 votes)

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