Integration

1.Lebesque measures. Properties. Examples.

 

2.Integrals.  Riemann integral/sum. Convergence. Lebesgue Integral.

 

3.Fubini's theorem (double integrals).

 

4.Multi-dimensional integrals. Flux. Flow.  Conservation Laws; Divergence (Gauss) theorem. 3d space example (electrostatics).

 

5.Bonus: Introduction to Distributions.