The goal of these notes is to stay as true to the term “crash course” as possible, by providing a “no nonsense” introduction to essential mathematical concepts in physics. My hope is that someone who is familiar with undergrad-level math will find great use in these.

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**Mathematics For Physics **

**Differential Equations (1): Conceptual Introduction & Terminology****Differential Equations (2): First Order Linear Separable DEs****Differential Equations (3): First Order Linear DEs-Integrating Factor & A General Solution****Differential Equations (4): First Order Exact DEs**- Differential Equations (4b): Exactifying First Order DEs
- Partial Differential Equations (1): Introduction (Coming Soon)
**Fourier Series (1): Basic Facts****Fourier Series (2): Finding The Fourier Series**- Fourier Series (3): Examples (Coming Soon)
**Fourier Transforms (1): Fourier Transform From Fourier Series****Fourier Transforms (2): Finding The Transform & An Example****Function Spaces (0): A New Notation For Vectors****Function Spaces (1): Functions As Vectors****Function Spaces (2): What Does It Mean?****Introduction To Completeness****Eigenfunctions & Differential Operators****Hermitian Operators (1)****Hermitian Operators (2) Example: Infinite Square Well & Orthogonality****Hermitian Operators (3): Completeness**