Date Section Topic Exercises
Mon 31 Aug 12.1 Vectors in the plane 35, 40, 48, 51
12.2 Vectors in three dimensions 13, 27, 39, 53
Wed 2 Sep 12.3 Dot product 20, 41, 50, 53, 59, 66
12.4 Cross product 11, 15, 20, 23, 43
Mon 7 Sep No class
Wed 9 Sep 12.4 Cross product
12.5 Planes in three-space 3, 15, 19, 21, 33
Thu 10 Sep 12.5 Planes in three-space
12.6 Quadric surfaces 15, 17, 21, 31, 33
MATLAB Project 1
Mon 14 Sep No class
Wed 16 Sep 13.1 Vector-valued functions 14, 19, 27, 28, 30, 33, 35
13.2 Calculus of vector-valued functions 10, 13, 17, 24, 25, 41, 43, 46, 50, 56
Mon 21 Sep 13.3 Arc length and speed 1, 3, 8, 12, 22, 23, 24, 25
13.3 Arc length and speed MATLAB Project 2
Wed 23 Sep No class
Mon 28 Sep 14.1 Functions of several variables 1, 3, 6, 7, 9, 19, 20, 21
14.2 Limits and continuity in several variables 1, 5, 7, 8, 21, 25, 30
Wed 30 Sep 14.3 Partial derivatives 3, 17, 20, 22, 23, 25, 42, 50, 57, 67
14.3 Partial derivatives
Mon 5 Oct 14.4 Differentiability and tangent planes 7, 10, 11, 16, 17, 18, 21, 30, 35, 39
14.4 Differentiability and tangent planes MATLAB Project 3
Wed 7 Oct 14.5 Gradient and directional derivatives 1, 5, 7, 23, 25, 36
14.5 Gradient and directional derivatives
Mon 12 Oct No class
Wed 14 Oct 14.6 Chain rule in several variables 1, 2, 5, 9, 17, 25, 26, 29, 30, 33, 34
14.6 Chain rule in several variables
Mon 19 Oct Review
Wed 21 Oct Exam 1
Mon 26 Oct 14.7 Optimization in several variables 7, 16, 21, 28, 32, 37, 40, 46
14.7 Optimization in several variables
Wed 28 Oct 14.8 Lagrange multipliers 5, 11, 15, 17, 21, 23, 34, 43
14.8 Lagrange multipliers
Mon 2 Nov 15.1 Integration in several variables 1, 7, 19, 29, 37, 40, 42, 44, 45, 46
15.1 Integration in several variables
Wed 4 Nov 15.2 Double integrals over general regions 1, 7, 17, 22, 29, 35, 38, 46
15.2 Double integrals over general regions MATLAB Project 4
Mon 9 Nov 15.3 Triple integrals 2, 6, 16, 17, 20, 27, 35
15.3 Triple integrals
Wed 11 Nov 12.7 Cylindrical and spherical coordinates 1, 7, 25, 29, 32, 38, 50, 63
15.4 Integration in polar, cylindrical coordinates 3, 9, 17, 23, 27, 37, 41
Mon 16 Nov 15.4 Integration in spherical coordinates
16.1 Vector fields 1, 3, 15, 24, 26, 27, 29, 31
Wed 18 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, 21, 23, 27
Mon 23 Nov 16.4 Parametrized surfaces 2, 3, 7, 19, 23, 25, 29, 34, 37
16.4 Surface integrals and surface area
Wed 25 Nov 16.5 Surface integrals of vector fields 3, 7, 11, 15, 17, 23, 26
16.5 Surface integrals of vector fields
Mon 30 Nov Review
Wed 2 Dec Exam 2
Mon 7 Dec 17.1 Green's Theorem 3, 7, 9, 12, 13, 15, 25, 32, 36
17.1 Green's Theorem
Wed 9 Dec 17.2 Stokes' Theorem 3, 7, 13, 16, 17, 18, 20, 21, 23
17.2 Stokes' Theorem
Mon 14 Dec 17.3 Divergence Theorem 3, 9, 13, 17, 25, 27, 34, 35
17.3 Divergence Theorem
Wed 16 Dec Final