Mathematics

 

 


 

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E.g., 2017-02-19
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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: 3.6 (5 votes)
Feb 20th 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)
Feb 20th 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)
Feb 20th 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: 5.5 (19 votes)
Feb 20th 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)
Feb 20th 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)
Feb 20th 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)
Feb 20th 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)
Feb 20th 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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Feb 20th 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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Feb 20th 2017

This Hydraulics course explores the science of hydraulics and focuses on hydrodynamic laws and their applications, which are indispensable and a critical factor in the development and utilization of water resources.

Average: 8 (6 votes)
Feb 20th 2017

Learn the technology of modelling, as used in computational face recognition or in surgeries, with this free online course. Statistical shape models are one of the most important technologies in computer vision and medical image analysis. With this technology, the computer learns the characteristic shape variations of an object or organ. The model resulting from this analysis may then be used in implant design, image analysis, surgery planning and many other fields.

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Feb 13th 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)
Feb 13th 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)
Feb 13th 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 (4 votes)
Feb 13th 2017

Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed. In the first part of our course we will be dealing with elementary combinatorial objects and notions: permutations, combinations, compositions, Fibonacci and Catalan numbers etc. In the second part of the course we introduce the notion of generating functions and use it to study recurrence relations and partition numbers.

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Feb 6th 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: 6.7 (3 votes)
Feb 6th 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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Feb 6th 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)
Feb 6th 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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