In case you have been looking for my class Applied Mathematics II, but did not manage to find it. Please contact me.
Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules:
Preliminary
Partial differentiation
Matrices and vector spaces
Vector calculus
Ordinary differential equations
Integral transforms
Operators and special functions
Partial differential equations
Probability and statistics
Numerical methods.
It is important to maintain the balance between mathematical rigor and hands-on applications. Meanwhile, the last module (numerical methods) will be integrated into other modules to facilitate complementary usage of analytic and numeric techniques.
A more detailed plan of the second half of the course will follow.
Mathematical Methods for physics and engineering (3rd edition) by Riley, Hobson and Bence
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