Mathematics for Physics I:

Mathematical basics to be able to do physics.

Content

1. The 16 most Important Geometric Objects: Overview with Formulas and Properties
2. Set Theory: Learn Subsets, Unions, Intersections and Differences
3. Function: the Most Important Concept in Mathematics
4. What is the Difference Between Partial and Total Derivative?
5. Differential Equations: All the Basics Everyone Should Know
6. Separation of Variables (SoV) and How to Solve Homogeneous DEQ's of 1st Order
7. Variation of Constants and How to Solve Inhomogeneous Differential Equations of 1st Order
8. Exponential Ansatz and How to Solve Linear Differential Equations (of 2nd order)
9. Separation of Variables and How to Solve Partial Differential Equations
10. Vectors Simply Explained
11. Cross Product of Two Vectors Explained Simply
12. Polar Coordinates: How to Simplify 2D Problems with Circular Symmetry
13. Cylinder Coordinates
14. Spherical Coordinates: How to Solve Problems with Spherical Symmetry