| Week | Monday | Tuesday | Thursday |
|---|---|---|---|
| 1 (Sept 10-14) | Introduction (Appendix F, beginning of 5.1) | Area under a curve (5.1), The definite integral (5.2, up to p.344) Homework (due Sept 20): (Appendix F) 5, 8, 14, 20, 26, 32 (5.1) 2, 12 |
The Definite Integral (5.2) Homework (due Sept 20): (5.2) 6, 10, 18, 24, 32, 38, 48 |
| 2 (Sept 17-21) | Evaluation Theorem, Indefinite Integral (5.3) Homework (due Sept 27): (5.3) 4, 6, 8, 12, 16, 18, 24, 27, 28, 44, 47, 48, 54 |
Student Activity 1 | Fundamental Theorem of Calculus (5.4), Substitution Rule for Indefinite Integrals (5.5) Homework (due Sept 27): (5.4) 4, 6, 10, 14, 16, 18, 20, 22 (5.5) 8, 10, 16, 17, 18, 22, 24, 28, 30, 34, 36 |
| 3 (Sept 24-28) | Substitution Rule (5.5), Integration by Parts (5.6) Homework (due Oct 4): (5.5) 41, 42, 44, 48, 49, 50, 52, 54, 58, 61, 70 (5.6) 4, 8, 12, 14, 18, 20, 28, 36, 40 |
Student Activity 2 | Trigonometric Substitution, Partial Fractions (5.7) Homework (due Oct 4): (5.7) 2, 4, 10, 14, 15, 16, 17, 18, 21, 24, 32 |
| 4 (Oct 1-5) | Partial Fractions (5.7), Improper Integrals (Limits at infinity case) Homework (due Oct 11): (5.7) 32 (Appendix G) 16, 23, 28, 30, 36 (5.10) 10, 14, 18, 24 |
Student Activity 3 | Improper Integrals (5.10) Homework (due Oct 11): (5.10) 27, 30, 32, 34, 43, 46, 48, 62 |
| 5 (Oct 8-12) | Area (6.1), Volume (6.2) Homework (due Oct 18): (6.1) 5, 11, 17, 18, 26, 31, 32, 42 (6.2) 6, 8 |
Student Activity 4 | Volume (6.2, 6.3), Probability (6.8) Homework (due Oct 18): (6.2) 16, 20, 26b, 32, 42, 51 (6.3) 6, 16, 18, 24a (6.8) 2, 6, 12 (express your answer as an integral only) |
| 6 (Oct 15-19) | Introduction to Sequences (8.1) Homework (due Oct 25): (8.1) 5, 8, 12, 14, 16, 17, 18 |
Test 1 | Sequences (8.1) Homework (due Oct 25): (8.1) 20, 22, 26, 28, 29, 30, 31, 32, 34, 46, 48, 58 |
| 7 (Oct 22-26) | Series, Geometric Series, Telescoping Sums, Harmonic Series (8.2) Homework (due Nov 1): (8.2) 11, 12, 14, 16, 18, 32, 34, 38, 41, 42, 58 |
Student Activity 5 | Test for Divergence (8.2), Integral Test, Comparison Test, Limit
Comparison Test (8.3) Homework (due Nov 1): (8.2) 22, 24, 25 (8.3) 1, 4, 5, 11, 12, 14, 15, 16, 18, 19, 20, 24, 26, 28, 31 |
| 8 (Oct 29-Nov 2) | Estimating the Sum of a Series (8.3), Alternating Series Test, Alternating
Series Estimation Theorem, Absolute Convergence (8.4) Homework (Solutions will be posted on November 6): (8.3) 32, 35, 39 (8.4) 3, 4, 5, 6, 8, 10, 13, 15, 16, 20 |
Student Activity 6 | Ratio Test (8.5), Introduction to Power Series (8.5) Homework (Solutions will be posted on November 6): (8.4) 21, 23, 25, 28, 30, 31, 32, 33, 34, 36, 37, 40 |
| 9 (Nov 5-9) | Power Series (8.5), Representations of Functions as Power Series (8.6,
up to Example 5) Homework (due Nov 15): (8.5) 4, 6, 12, 16, 20, 22, 25, 26 (8.6) 7, 8, 10 |
Representations of Functions as Power Series (8.6) Introduction to
Taylor and Maclaurin Series (8.7) Homework (due Nov 15): (8.6) 14, 17, 28, 38 (8.7) 2, 4, 11, 14, 15 |
Test 2 |
| 10 (Nov 12-16) | University Holiday | Taylor and Maclaurin Series (8.7) | Student Activity 7 |
| 11 (Nov 19-23) | Student Activity 7 | Study Day | Thanksgiving |