Math

This section covers the list of math topics provided here:

solutions of ordinary and partial differential equations, power series solutions, linear independence, elementary linear algebra, determinants, Taylor series, eigenvalue problems, orthogonality, Fourier series and integrals, integration by parts, vector algebra, complex numbers, special functions (e.g., Bessel functions and Legendre polynomials).

I have organized these topics in a way that progresses from basic mathematics to more difficult concepts:

1. Review of basics
2. Taylor series
3. Fourier series and transforms
4. Linear algebra
5. Ordinary differential equations
6. Orthogonality and special functions
7. Vector algebra
8. Vector calculus
9. Partial differential equations

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