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)