Math152       Lecture Notes       Spring 2011

This page will be updated as the semester progresses.

Week 1
1/19  Section 6.4 (The fundamental theorem of calculus)
1/21   Section 6.5 (The substitution rule), section 7.1 (Area between curves)
Week 2
1/24   Section 7.1 (Area between curves), section 7.2 (Volume)
1/26   Section 7.2 (Volume)
1/28   Section 7.2 (Volume), Section 7.3 (Volume by cylindrical shells)
Week 3
1/31  Section 7.3 (Volume by cylindrical shells), Section 7.4 (Work)
2/2    Section 7.4 (Work)
Week 4
2/7    Section 7.5 (Average value of a function), Section 8.1 (Integration by parts)
2/9    Section 8.1 (Integration by parts), Section 8.2 (Trigonometric integrals)
2/11   Section 8.2 (Trigonometric integrals)
Week 5
2/14   Section 8.2 (Trigonometric integrals)
2/16   Review for Test 1
2/18   Section 8.3 (Trigonometric substitution)
Week 6
2/21   Section 8.3 (Trigonometric substitution), Section 8.4 (Integration of rational functions by partial fractions)
2/23   Section 8.4 (Integration of rational functions by partial fractions)
2/25   Section 8.4 (Integration of rational functions by partial fractions), Section 8.9 (Improper integrals)
Week 7
2/28   Section 8.9 (Improper integrals)
3/2    Section 8.9 (Improper integrals), Section 9.3 (Arc length)
3/4    Section 9.3 (Arc length), Section 9.4 (Area of a surface of revolution)
Week 8
3/7    Section 9.4 (Area of a surface of revolution), Section 10.1 (Sequences), Section 10.2 (Series)
3/9    Section 10.1 (Sequences), Section 10.2 (Series)
3/11   Section 10.2 (Series), Section 10.3 (The Integral and Comparison Tests; Estimating Sums )
Week 9
3/21   Section 10.3 (The Integral and Comparison Tests; Estimating Sums )
3/23   Section 10.3 (The Integral and Comparison Tests; Estimating Sums ), Review for Test 2
3/25   Section 10.4 (Other Convergence Tests)
Week 10
3/28   Section 10.5 (Power Series)
3/30   Section 10.6 (Representation of functions as power series)
4/1    Section 10.6 (Representation of functions as power series), Section 10.7 (Taylor and Maclaurin series)
Week 11
4/4    Section 10.7 (Taylor and Maclaurin series), Section 10.9 (Applications of Taylor polynomials)
4/6    Section 10.9 (Applications of Taylor polynomials), Section 11.1 (Three-dimensional coordinate system)
4/8    Section 11.1 (Three-dimensional coordinate system)
Week 12
4/11   Section 11.2 (Vectors and the dot product in three dimensions)
4/13   Section 11.2 (Vectors and the dot product in three dimensions)
4/15   Section 11.3 (The cross product)
Week 13
4/18   Section 11.3 (The cross product), Review for Test 3
4/20  Review for Test 3
Week 14
4/25  Review for Test 3
4/27  Section 13.4 (Polar coordinates)