# AM21a F18 Multivariable Calculus

The course syllabus.

Class handouts:
Class 01: Section 12-1 (functions)
Class 02: Section 12-1-2 (functions)
Class 03: Section 12-3 (contour plots)
Class 04: Section 12-4-5 (functions of three variables)
Class 05: Section 12-5 13-1 (vectors)
Class 06: Section 13-1-2 (vectors)
Class 07: Section 13-2-3 (dot product)
Class 08: Section 13-4 (cross product)
Class 09: Section 14-1-2 (partial derivatives)
Class 10: Section 14-2-3 (linear approximation)
Class 11: Section 14-3-4 (gradient and directional derivative)
Class 12: Section 14-5 (gradient and directional derivative)
Class 13: Section 14-6-7 (chain rule)
Class 14: Section 14-7 15-1 (quadratic approximation)
Class 15: Section 15-2 (global extrema)
Class 16: Section 15-3 (constrained optimization)
Class 17: Section 16-1-2 (integration)
Class 18: Section 16-3 (triple integrals)
Class 19: Section 16-3-4 (polar integrals)
Class 20: Section 16-5 (cylindrical and spherical coordinates)
Class 21: Section 16-6 (probability)

Problem sets:
Problem set 01: Functions (3 +/-1 hours)
Problem set 02: Contours and vectors (6 +/- 2 hours)
Problem set 03: Vectors + partial derivative definition (8 +/- 3 hours)
Problem set 04: Partial derivatives and tangent planes (8 +/- 3 hours)
Problem set 05: (8 +/- 3 hours)
Problem set 06: (5 +/- 2 hours)
Problem set 07: (7 +/- 2 hours)
Problem set 08: (8 +/- 3 hours)
Problem set 09: (7 +/- 2 hours)
Problem set 10: (6 +/- 2 hours)
Problem set 11: (7 +/- 2 hours)
Problem set 12: (6 +/- 2 hours)