Math152       Lecture Notes       Spring 2013

This page will be updated as the semester progresses.

Week 1
1/15  Section 6.4 (The fundamental theorem of calculus)
1/17   Section 6.5 (The substitution rule)
Week 2
1/22   Section 7.1 (Area between curves)
1/24 Section 7.2 (Volume)
Week 3
1/29   Section 7.3 (Volume by cylindrical shells),   Section 7.4 (Work)
1/31   Section 7.4 (Work),   Section 7.5 (Average value of a function)
Week 4
2/5   Section 7.5 (Average value of a function),   Section 8.1 (Integration by parts)
2/7   Section 8.2 (Trigonometric integrals)
Week 5
2/12   Section 8.2 (Trigonometric integrals),   Section 8.3 (Trigonometric substitution)
2/14   Review for Test 1
Week 6
2/19   Section 8.3 (Trigonometric substitution),   Section 8.4 (Integration of rational functions by partial fractions)
2/21   Section 8.4 (Integration of rational functions by partial fractions),   Section 8.9 (Improper integrals)
Week 7
2/26   Section 8.9 (Improper integrals)
2/28   Section 8.9 (Improper integrals),   Section 9.3 (Arc length)
Week 8
3/5   Section 9.3 (Arc length),   Section 9.4 (Area of a surface of revolution)
3/7   Section 9.4 (Area of a surface of revolution),   Section 10.1 (Sequences)
Week 9
3/19   Section 10.1 (Sequences),   Section 10.2 (Series)
3/21   Review for Test 2
Week 10
3/26   Section 10.3 (The Integral and Comparison Tests; Estimating Sums)
3/28   Section 10.4 (Other Convergence Tests)
Week 11
4/2   Section 10.5 (Power series),   Section 10.6 (Representations of functions as a power series)
4/4   Section 10.6 (Representations of functions as a power series),   Section 10.7 (Taylor and Maclaurin series)
Week 12
4/9   Section 10.7 (Taylor and Maclaurin series),   Section 10.9 (Applications of Taylor polynomials)
4/11   Section 11.1 (Three-dimensional coordinate system)
Week 13
4/16   Section 11.2 (Vectors and the dot product in three dimensions)
4/18   Section 11.3 (The cross product)
Week 14
4/23   Review for Test 3
4/25   Section 13.4 (Polar coordinates)