Week-by-week plan: This is the tentative plan for the course. Hopefully we'll stay on schedule. Problems listed as (*xx*) are optional, and usually harder.
| Week of | ||
| June 18 | Monday | Quick Review of Differentiation and The Plan of the Course |
| Tue hw | Will be given in class on Monday | |
| Tuesday | 5.1: Areas and Distance & 5.2: The Definite Integral | |
| Wednesday | 5.3: The Fundamental Theorem of Calculus & 5.4: Indefinite Integrals and the Net Change Theorem | |
| Thursday | 5.5:The Substitution Rule & 5.6: The Logarithm Defined as an Integral | |
| Fri hw | 5.1: 3, 6(a)-(b). 5.2: 27, 33, 42, 43, 46, (*65*). 5.3: 7-12, (*13*), 19-30. 5.4: 1, 7, 9, 24, 43, 47. 5.5: 1-6, 12-15, 31, 32. 5.6: 5. | |
| Friday | 6.1: Areas between Curves & 6.2: Volumes | |
| June 25 | Monday | 6.3: Volumes by Cylindrical Shells & 6.5: Average Value of a Function |
| Tue hw | 6.1: 1, 2, 27. 6.2: 7, 9, 11. 6.3: 3-7, (*46*). 6.5: 1-3, 7, 13. | |
| Tuesday | 7.1: Integration by Parts & 7.2: Trigonometric Integrals | |
| Wednesday | 7.3: Trigonometric Substitution | |
| Thursday | 7.4: Integration of Rational Functions by Partial Fractions | |
| Fri hw | 7.1: 1-5, 13, 14, 20, 33, 36, (*42*), (*45*), 64. 7.2: 1-3, 7, 16. 7.3: 1-3, 7, 13, 22. 7.4: 1, 2, 7, 11, 17, 23, 31, 49, (*55-57*). | |
| Friday | 7.5: Strategy for Integration & 7.6: Integration Using Tables and Computer Algebra Systems & 7.7: Approximate Integration | |
| July 2 | Monday | 7.8: Improper Integrals |
| Tue hw | 7.5: 5, 17, 69. 7.6: 1, 2, 12, 26. 7.8: 1, 2, 5, 7, 9, 13, 21, 41, 51, (*55*), (*57-59*), 61. | |
| Tuesday | 8.1: Arc Length | |
| Wednesday | 4th of July, no class | |
| Thursday | 8.2: Area of a Surface of Revolution & 8.3: Applications to Physics and Engineering | |
| Fri hw | 8.1: 1, 2, 5, 9 12, 15, 17-20, 31, (*38*). 8.2: 3, 11, 25, 26, (*31*). 8.3: 25, 38, 40, (*44*). | |
| Friday | 8.4: Applications to Economics and Biology & 8.5: Probability | |
| July 9 | Monday | 9.1: Modeling with Differential Equations & 9.2: Direction Fields and Euler's Method |
| Tue hw | 8.4: 12, 13. 8.5: 1, 3, (*14*), (*15*). 9.1: 1, 3, 5, 9, 11. 9.2: 1-6, 9, 23. | |
| Tuesday | 9.3: Separable Equations & 9.4: Exponential Growth and Decay | |
| Wednesday | Review for Midterm | |
| Thursday | In-class part of Midterm | |
| Friday | Take-home part of Midterm due & 9.5: The Logistic Equation | |
| July 16 | Mon hw | 9.3: 1-3, 8-10, 11, 15, 18, (*36*), (*42*), (*44*). 9.4: 8, 9, 12 (*22*). |
| Monday | Look at Midterm & 9.6: Linear Equations | |
| Tue hw | 9.5: 3, (*9*), (*14*). 9.6: 1, 5, 9, 15, (*23*), (*25*). | |
| Tuesday | 10.1: Curves Defined by Parametric Equations & 10.2: Calculus with Parametric Curves | |
| Wednesday | 10.3: Polar Coordinates | |
| Thursday | 11.1: Sequences | |
| Fri hw | 10.1: 4, 5, 9, 13, 15, 21, 24, (*41*). 10.2: 1, 3, 5, 11. 10.3: 1, 3, 11, 17, 25, 35, (*57*). 11.1: 1, 3-6, 9-12, 15-40, 54-60, (*62*). | |
| Friday | 11.1: Sequences & Mathematical Induction 11.2: Series & 11.3: The Integral Test and Estimates of Sums | |
| July 23 | Monday | 11.2: Series |
| Tuesday | 11.2: Series & 11.3: The Integral Test and Estimates of Sums | |
| Wed hw | 11.1: 54-60, (*62*). 11.2: 1, 9, 11-34, 35, 41, (*46*), 49. | |
| Wednesday | 11.4: The Comparison Tests & 11:5: Alternating Series | |
| Thursday | 11.6: Absolute Convergence and the Ratio and Root Tests & 11.7: Strategy for Testing Series (Read on your own) | |
| Fri hw | 11.3: 3-8, 15, 19, 21, 29, (*38*), (*39*). 11.4: 1, 3, 7, 12, 17, 29, 31, (*41*), (*42*). 11.5: 3, 5, 11, 12, (*32*). 11.6: 2-12, (*30*). 11.7: 9, 14, 31. | |
| Friday | 11.6: Absolute Convergence and the Ratio and Root Tests | |
| July 30 | Mon-Wed | Reading Period: Reviews |
| Thu | Final Exam: 9am - 12pm |