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Physics 50 - Math Methods

Physics 50: Math Methods (Spring 2014, UC Irvine). Instructor: Professor Michael Dennin. Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral transforms. Topics covered include: series representations for functions, complex numbers, matrices, vectors, tensors, abstract vector spaces, Fourier series and Fourier transformations, differential equations, derivatives and integrals, vector calculus, and partial differential equations.

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Lecture 01 - Introduction
Lecture 02 - Series Representations for Functions, Complex Numbers
Lecture 03 - Matrices
Lecture 04 - Vectors
Lecture 05 - Tensors
Lecture 06 - Matrices II: Change of Basis, Diagonalization, Hermitian Matrix
Lecture 07 - Abstract Vector Spaces
Lecture 08 - 2-Dimensional Vector Spaces
Lecture 09 - Fourier Series/ Fourier Transformations
Lecture 10 - Fourier Series/ Fourier Transformations (cont.)
Lecture 11 - Differential Equations (DEQs)
Lecture 12 - Differential Equations (DEQs) (cont.)
Lecture 13 - Derivatives and Integrals
Lecture 14 - Derivatives and Integrals (cont.)
Lecture 15 - Line Integrals
Lecture 16 - Vector Calculus
Lecture 17 - Vector Calculus (cont.)
Lecture 18 - Partial Differential Equations
Lecture 19 - Partial Differential Equations

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Physics 50: Math Methods
Instructor: Professor Michael Dennin. Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral.