This page will be updated as the semester progresses.
Week 1
8/27
Section 11.1 (Three-dimensional coordinate system),
section 11.2 (Vectors and the dot product in three dimensions)
8/29
Section 11.3 (The cross product),
section 11.4 (Equations of lines and planes)
Week 2
9/3
Section 11.4 (Equations of lines and planes)
9/5
Section 11.5 (Quadric surfaces)
Week 3
9/10
Section 11.5 (Quadric surfaces),
section 11.6 (Vector functions and space curves)
9/12
Section 11.6 (Vector functions and space curves),
Section 11.7 (Arc length and curvature),
Section 12.1 (Functions of several variables)
Week 4
9/17
Section 11.7 (Arc length and curvature),
Section 12.1 (Functions of several variables),
Section 12.3 (Partial derivatives)
9/19
Section 12.3 (Partial derivatives),
Section 12.4 (Tangent planes and differentials)
Week 5
9/24
Section 12.4 (Tangent planes and differentials),
Section 12.5 (The chain rule),
Section 12.6 (Directional derivatives and the gradient vector)
9/26
Section 12.6 (Directional derivatives and the gradient vector),
Section 12.7 (Maximum and minimum values)
Week 6
10/1
Section 12.7 (Maximum and minimum values), Review for Test 1
10/3 Test 1
Week 7
10/8
Section 13.1 (Double integrals over rectangles),
Section 13.2 (Iterated integrals),
Section 13.3 (Double integrals over general regions)
10/10
Section 13.3 (Double integrals over general regions),
Section 13.4 (Polar coordinates)
Week 8
10/15
Section 13.5 (Double integrals in polar coordinates)
10/17
Section 13.5 (Double integrals in polar coordinates),
Section 13.6 (Applications of double integrals),
Section 13.8 (Triple integrals)
Week 9
10/22
Section 13.8 (Triple integrals),
Section 13.9 (Cylindrical and spherical coordinates)
10/24
Section 13.9 (Cylindrical and spherical coordinates),
Section 13.10 (Triple integrals in cylindrical and spherical coordinates)
Week 10
10/29
Section 13.10 (Triple integrals in cylindrical and spherical coordinates),
Section 14.1 (Vector fields)
10/31
Section 14.2 (Line integrals)
Week 11
11/5
Section 14.3 (The fundamental theorem for line integrals),
Section 14.4 (Green's theorem)
11/7
Section 14.5 (Curl and divergence)
Week 12
11/12 Review for Test 2
11/14 Test 2
Week 13
11/19
Section 14.6 (Parametric surfaces and their areas),
Section 14.7 (Surface integrals)
11/21
Section 14.7 (Surface integrals)
Week 14
11/26
Section 14.8 (Stokes' theorem),
Section 14.9 (Divergence theorem)