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# Mathematics for Physics

last edited by 9 years, 9 months ago

#### Mathematics I

A first course in Mathematics for Physics students. Contains lecture notes, examples, ... as well as the files used to create these resources. Discusses: 1-Vectors in 2-space and 3-space; 2-Differentiation; 3- Integration; 4- Applications of Integration and 5- Differential Equations.

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Mathematics II

The second half of a first course in Mathematics for Physics students. Contains lecture notes, examples, ... as well as the files used to create these resources. Discusses: 1 Complex Numbers 2 Second Order Linear Diﬀerential Equations 3 Functions of more than one variable 4 Series and Limits 5 Two–by–Two Matrices

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Further Mathematical Methods

A level 3 course in Mathematics for (Theoretical) Physics students. Contains lecture notes, examples, ... as well as the files used to create these resources. Discusses: 1 Introduction and Prerequisites 2 Linear vector spaces 3 Operators, Eigenvectors and Eigenvalues 4 Green functions 5 Variational calculus A Contour Integration

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Partial Differential Equations

A second year course in the Mathematics of Partial Differential Equations for Physics students. Contains lecture notes, examples, ... as well as the files used to create these resources. Discusses: 1 Introduction 2 Classiﬁcation of partial diﬀerential equations. 3 Boundary and Initial Conditions 4 Fourier Series 5 Separation of variables on rectangular domains 6 D’Alembert’s solution to the wave equation 7 Polar and spherical coordinate systems 8 Separation of variables in polar coordinates 9 Series solutions of O.D.E. 10 Bessel functions 11 Separation of variables in three dimensions

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