- Module 1 Multi-variable functions Introduction 80
- Module 2 Partial derivatives 140
- Module 3 Chain rule and Directional derivative 112
- Module 4 Optimization (several variable) 66
- Module 5 Lagrange multipliers 54
- Module 6 Taylor approximation
- Module 7 Multiple integrals 87
- Module 8 Multiple integral in polar and spherical coordinates 90
- Module 9 Substitution rule for multiple integral 130
- Module 10 Vector field and line integral 102
- Module 11 Green theorem 99
- Module 12 Surface integral and flux 89
- Module 13 Divergence theorem 84
- Module 14 Stokes theorem 127