Mathematics

 

 


 

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Mar 20th 2017

Technology is an essential component of today’s workplace and is a ubiquitous component of our society. Technology can be a useful tool to support students’ engagement in and learning of mathematics. This course allows you to learn, along with colleagues from other schools and around the world, instructional practices that utilize technology to support students’ mathematical learning.

Average: 3.5 (4 votes)
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

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

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: 8.3 (3 votes)
Jan 23rd 2017

A very beautiful classical theory on field extensions of a certain type (Galois extensions) initiated by Galois in the 19th century. Explains, in particular, why it is not possible to solve an equation of degree 5 or more in the same way as we solve quadratic or cubic equations. You will learn to compute Galois groups and (before that) study the properties of various field extensions. We first shall survey the basic notions and properties of field extensions: algebraic, transcendental, finite field extensions, degree of an extension, algebraic closure, decomposition field of a polynomial. Then we shall do a bit of commutative algebra (finite algebras over a field, base change via tensor product) and apply this to study the notion of separability in some detail.

Average: 5.5 (4 votes)
Jan 23rd 2017

O curso "Explorando os recursos educacionais da Khan Academy" tem como objetivo ajudar todos aqueles que desejam utilizar a plataforma como um recurso pedagógico. No decorrer do curso, você terá a oportunidade de conhecer a plataforma do ponto de vista do estudante e do ponto de vista do tutor, sabendo exatamente como utilizá-la em favor da aprendizagem. Ao longo do curso, você terá todas as orientações de que precisa para utilizar a plataforma com seus alunos.

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

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

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

Les nouvelles technologies de l’information ont facilité l’accès à de nombreuses bases de données offrant au grand public, mais surtout aux professionnels, une multitude de services. Le domaine de l’information géographique a également suivi ce mouvement en modernisant l’ensemble des supports, des plans, des cartes topographiques et de tous les types de données à référence spatiale. Face au déploiement massif des cartes numériques et des nombreux services basés sur la localisation, il s’agit de rester critique et surtout de développer les capacités nécessaires afin de choisir les outils et jeux de géodonnées adaptés aux besoins professionnels.

Average: 8.8 (4 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

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 16th 2017

This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable. We will start by introducing the complex plane, along with the algebra and geometry of complex numbers, and then we will make our way via differentiation, integration, complex dynamics, power series representation and Laurent series into territories at the edge of what is known today.

Average: 8.3 (3 votes)
Jan 16th 2017

本课程面向非计算机软件专业本科生及相关IT行业从业人士,介绍计算机科学和信息技术理论基础的概念和思想方法。

Average: 7 (3 votes)
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 16th 2017

Explore and use Differentiating for Learning with one of three courses for teachers from the National STEM Learning Centre. When it comes to teaching in the classroom one size does not fit all. This free online course - designed for STEM teachers in primary and secondary schools, and sixth form and further education colleges - will help you improve your understanding and use of Differentiating for Learning (DfL) within the STEM subjects.

Average: 7.3 (4 votes)
Jan 16th 2017

Il corso copre la matematica di base, permettendo di colmare eventuali lacune e di mettere a punto la preparazione necessaria all'ingresso all'università.
The course covers the fundamentals of Math, thus allowing to fill high school gaps and to optimize students’ knowledge as they start college.


Average: 5.3 (4 votes)
Jan 16th 2017

L’objectif du MOOC est de vous présenter les différentes facettes du métier d’ingénieur. A travers le suivi de ce MOOC, vous découvrirez des témoignages d’ingénieurs illustrant leur quotidien et leur vision du métier. Ces témoignages seront complétés par des présentations réalisées par des spécialistes des formations d’ingénieur.

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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)
Jan 9th 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)

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