Math251       Lecture Notes       Fall 2013

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)