Mathematical and Computational Methods

Closed

Curso

Inglês

126 h

Fonte

De www.edx.org

Mais informações

18 sequências
Advanced Level
Começa em 29 janeiro 2022
Termina em 8 junho 2022

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Detalhes do curso

Programa de Estudos

Be able to apply techniques of calculus (learned in the first three semesters of a calculus sequence) to solve problems that arise in physics.
Derive and use the geometric series in calculations.
Manipulate power series expressions and employ them in physics contexts.
Calculate Taylor polynomials/series of common functions and use them in approximating functions
Follow the development for how one integrates polynomials, rational functions of polynomials, square roots of quadratics, rational functions with square roots of quadratics, and why the procedure cannot solve integrals with square roots of quartics.
Solve integrals via parametric methods (differentiating under the integral sign) including techniques for introducing the parameter into the integrand
Set up and integrate multidimensional integrals with variable mass density and for moments of inertia.
Solve problems in multivariable integrals via the different integral theorems
Solve Laplace's equation for simple geometries
Compute the curl or divergence of a vector field and the gradient of a scalar function
Solve complex numbers arithmetic problems
Use calculus of residues to solve integrals
Use row reduction to solve simultaneous linear equations
Calculate the determinant, inverse, and eigenvalues of matrices
Construct abstract vector spaces using the definitions of a vector space and generalized inner products
Solve any first-order linear differential equation
Solve the six classes of nonlinear first-order differential equations
Solve higher-order differential equations with constant coefficients (homogeneous and inhomogeneous)
Construct representations of curves in three dimensions using the Frenet-Serret apparatus
Construct Fourier series of periodic functions

Pré-requisito

Nenhum.

Instrutores

James Freericks
Professor
Georgetown University

Plataforma

EdX est une plateforme d'apprentissage en ligne (dite FLOT ou MOOC). Elle héberge et met gratuitement à disposition des cours en ligne de niveau universitaire à travers le monde entier. Elle mène également des recherches sur l'apprentissage en ligne et la façon dont les utilisateurs utilisent celle-ci. Elle est à but non lucratif et la plateforme utilise un logiciel open source.

EdX a été fondée par le Massachusetts Institute of Technology et par l'université Harvard en mai 2012. En 2014, environ 50 écoles, associations et organisations internationales offrent ou projettent d'offrir des cours sur EdX. En juillet 2014, elle avait plus de 2,5 millions d'utilisateurs suivant plus de 200 cours en ligne.

Les deux universités américaines qui financent la plateforme ont investi 60 millions USD dans son développement. La plateforme France Université Numérique utilise la technologie openedX, supportée par Google.

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