Week 1

5.1-3
Estimating with Finite Sums
Sigma Notation and Limits of Finite Sums
The Definite Integral

5.1: 3, 7, 20, 21, 22
5.2: 2, 8, 16, 18c
5.3: 6, 10f, 21, 62, 71

Week 2

5.3-5
The Definite Integral (continued)
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule

5.4: 13, 28, 36, 43, 60
5.5: 7, 19, 36, 50, 60

Week 3

5.6, 6.1-2
Substitution and Area Between Curves
Volumes by Slicing and Rotation About an Axis
Volumes by Cylindrical Shells

5.6: 7, 37, 46, 86
6.1: 1, 7, 43, 46, 56
6.2: 3, 13, 21, 24, 36

Week 4

6.3-5
Lengths of Plane Curves
Moments and Centers of Mass
Areas of Surfaces of Revolution (Pappus)

6.3: 2, 11, 26, 28, 30
6.4: 4, 7, 23, 28, 40
6.5: 9, 15, 28, 33, 36, 42

Week 5

Prelim 1, 02/23 (Tuesday)
Covers through 6.5

Review, 9.1, 7.1
Review
Separable ODEs & IVPs
Inverse Functions and Derivatives

9.1: click here
7.1: 16, 29, 32, 34, 42, 50

Week 6

7.2-4
Natural Logarithms
The Exponential Function
a^x and log_a x

7.2: 2, 22, 41, 54, 58
7.3: 4, 30, 36, 54, 68
7.4: 8, 22, 46, 67, 96

Week 7

7.5-7
Exponential Growth and Decay
Relative Rates of Growth
Inverse Trigonometric Functions

7.5: 2, 6, 10, 18, 25
7.6: 4, 6, 8, 10, 18, 24
7.7: 6, 10, 24, 36, 124, 138

Week 8

7.8, 8.1-2
Hyperbolic Functions
Basic Integration Formulas
Integration by Parts

7.8: 10, 12, 77, 87
8.1: 33, 42, 54, 60, 66
8.2: 6, 7, 22, 28, 40

Spring break

Week 9

Prelim 2, 04/01 (Thursday)
Covers through 8.2

Review & 8.3-4
Integration by Partial Fractions
Review
Trigonometric Integrals

8.3: 6, 16, 20, 21, 34, 38, 50
8.4: 10, 16, 45, 46

Week 10

8.5,8.7-8
Trigonometric Substitutions
Numerical Integration
Improper Integrals

8.5: 2, 8, 34, 45
8.7: 8, 12, 22, 31, 34
8.8: 6, 24, 58, 68, 78

Week 11

11.1-2
Sequences
Infinite Series

11.1: 12, 32, 50, 82, 88, 128
11.2: 6, 11, 19, 30, 48, 73, 74, 75

Week 12

11.3-5
The Integral Test
Comparison Tests
The Ratio and Root Tests

11.3: 6, 14, 28, 32, 39
11.4: 4, 9, 28, 34, 36, 40
11.5: 2, 10, 14, 22, 26

Week 13

Prelim 3, 04/27 (Tuesday)
Covers through 11.5

Review, 11.6-7
Alternating Series
Power Series

11.6: 6, 18, 39, 40, 48, 58
11.7: 10, 20, 21, 24, 36, 41

Week 14

11.8-10
Taylor and Maclaurin Series
Convergence and Error Estimates
Applications of Power Series

11.8: 2, 12, 22, 25, 32
11.9: 6, 14, 23, 24, 40, 42
11.10: 2, 20, 52, 65, 70