Date Section Topic Exercises
Mon 27 Aug 12.1 Vectors in the plane 39, 46, 48, 54, 57
12.2 Vectors in three dimensions 13, 29, 43, 53
Wed 29 Aug 12.3 Dot product 20, 41, 50, 55, 61, 68, 78
12.4 Cross product 11, 15, 20, 23, 43
Mon 3 Sep No class
Wed 5 Sep 12.4 Cross product
12.5 Planes in three-space 3, 15, 19, 21, 39
Mon 10 Sep No class
Wed 12 Sep 12.5 Planes in three-space
12.6 Quadric surfaces 7, 15, 17, 21, 39, 41, 42
MATLAB Project 1
Mon 17 Sep 13.1 Vector-valued functions 18, 23, 31, 32, 34, 37, 39
13.2 Calculus of vector-valued functions 10, 13, 17, 24, 25, 41, 43, 46, 50, 56
Wed 19 Sep No class
Mon 24 Sep 13.3 Arc length and speed 1, 3, 10, 14, 28, 29, 32, 33
13.3 Arc length and speed MATLAB Project 2
Wed 26 Sep 14.1 Functions of several variables 1, 3, 6, 7, 9, 19, 20, 21, 39
14.2 Limits and continuity in several variables 1, 5, 7, 8, 20, 29, 33, 38
Mon 1 Oct 14.3 Partial derivatives 3, 17, 20, 22, 23, 25, 42, 50, 57, 67
14.3 Partial derivatives
Wed 3 Oct 14.4 Differentiability and tangent planes 7, 10, 11, 16, 17, 18, 21, 29, 35, 39
14.4 Differentiability and tangent planes MATLAB Project 3
Mon 8 Oct No class
Wed 10 Oct 14.5 Gradient and directional derivatives 1, 5, 7, 23, 25, 35, 38
14.5 Gradient and directional derivatives
Mon 15 Oct 14.6 Chain rule in several variables 1, 2, 5, 9, 18, 27, 28, 31, 32, 35, 36
14.6 Chain rule in several variables
Wed 17 Oct 14.7 Optimization in several variables 4, 7, 16, 21, 28, 32, 37, 40, 48
14.7 Optimization in several variables
Mon 22 Oct Review
Wed 24 Oct Exam 1
Mon 29 Oct 14.8 Lagrange multipliers 5, 11, 17, 19, 23, 25, 36, 47
14.8 Lagrange multipliers
Wed 31 Oct 15.1 Integration in several variables 1, 7, 19, 29, 37, 40, 42, 44, 47, 48
15.1 Integration in several variables
Mon 5 Nov 15.2 Double integrals over general regions 1, 7, 17, 22, 29, 32, 35, 38, 44, 46
15.2 Double integrals over general regions MATLAB Project 4
Wed 7 Nov 15.3 Triple integrals 6, 16, 17, 20, 23, 27, 33, 39
15.3 Triple integrals
Mon 12 Nov 12.7 Cylindrical and spherical coordinates 1, 7, 27, 31, 34, 40, 52, 67
15.4 Integration in polar, cylindrical coordinates 3, 9, 17, 21, 23, 27, 37, 45, 47
Wed 14 Nov 15.4 Integration in spherical coordinates
16.1 Vector fields 3, 15, 41, 44, 46, 48, 50
Mon 19 Nov 16.2 Line integrals 1, 5, 9, 15, 21, 27, 34, 37, 41
16.3 Conservative vector fields 3, 9, 11, 12, 13, 17, 23, 25, 29
Wed 21 Nov 16.4 Parametrized surfaces 2, 3, 7, 19, 23, 25, 29, 34, 37
16.4 Surface integrals and surface area
Mon 26 Nov Review
Wed 28 Nov Exam 2
Mon 3 Dec 16.5 Surface integrals of vector fields 3, 7, 11, 15, 17, 23, 30
16.5 Surface integrals of vector fields
Wed 5 Dec 17.1 Green's Theorem 3, 7, 9, 12, 13, 14, 25, 32, 37
17.1 Green's Theorem
Mon 10 Dec 17.2 Stokes' Theorem 1, 3, 17, 20, 21, 22, 24, 25, 27
17.2 Stokes' Theorem
Wed 12 Dec 17.3 Divergence Theorem 1, 3, 11, 15, 17, 18, 23, 25, 32, 33
17.3 Divergence Theorem
Tue 18 Dec Final 2:30-4:25 3S-111