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. |