Math251       Lecture Notes       Fall 2010

This page will be updated as the semester progresses.

Week 1
8/31  Section 11.1 (Three-dimensional coordinate system), section 11.2(REVISED) (Vectors and the dot product in three dimensions)
9/2     Section 11.3 (The cross product), section 11.4 (Equations of lines and planes)
Week 2
9/7     Section 11.4 (Equations of lines and planes), section 11.5 (Quadric surfaces)
9/9      Section 11.5 (Quadric surfaces)
Week 3
9/14     Section 11.6 (Vector functions and space curves), section 11.7 (Arc length and curvature)
9/16      Section 11.7 (Arc length and curvature)
Week 4
9/21     Section 12.1 (Functions of several variables), section 12.3 (Partial derivatives)
9/23     Section 12.4 (Tangent planes and differentials)
Week 5
9/28     Section 12.5 (The chain rule), Section 12.6 (Directional derivatives and the gradient vector)
9/30     Section 12.7 (Maximum and minimum values), Section 12.8 (Lagrange multipliers)
Week 6
10/5     Review for Test 1
10/7     Test 1
Week 7
10/12    Section 13.1 (Double integrals over rectangles), Section 13.2 (Iterated integrals), Section 13.3 (Double integrals over general regions)
10/14     Section 13.3 (Double integrals over general regions), Section 13.4 (Polar coordinates)
Week 8
10/19     Section 13.4 (Polar coordinates), Section 13.5 (Double integrals in polar coordinates)
10/21    Section 13.6 (Applications of double integrals), Section 13.8 (Triple integrals)
Week 9
10/26    Section 13.8 (Triple integrals)
10/29    Section 13.9 (Cylindrical and spherical coordinates),  Section 13.10 (Triple integrals in cylindrical and spherical coordinates)
Week 10
11/2     Section 13.10 (Triple integrals in cylindrical and spherical coordinates), Section 14.1 (Vector fields), Section 14.2 (Line integrals)
11/4    Section 14.2 (Line integrals)
Week 11
11/9    Section 14.3 (The Fundamental Theorem for line integrals), Section 14.4 (Green's Theorem)
11/11   Section 14.5 (Curl and divergence)
Week 12
11/16    Review for Test 2
11/18    Test 2
Week 13
11/23   Section 14.6 (Parametric surfaces and their areas)
Week 14
11/30   Section 14.7 (Surface integrals)
12/2    Section 14.7 (Surface integrals),Section 14.8 (Stokes' Theorem)
Week 15
12/7     Section 14.9 (Divergence Theorem)