Home Syllabus **Schedule** Links Quiz solutions Webwork | | | | # Schedule ### Tentative Schedule: Math 131, January 12 2008 **Date** | Chapter | Description | Suggested problems from textbook | | Jan 12 | 1.1-1.2 | Background | 1.1: 1-59, 1.2: 1-57 (as many as you need) | Jan 14 | 1.3 | Rates of change and tangents | 4-14 | Jan 16 | 1.4 | Limits of functions | 1-9, 11-15, 29-35, 55-58 |
| Jan 19 | | Martin Luther King day! (no class) | | Jan 21 | 1.4 | Upper bounds and the sandwich theorem | 64-66, 74, 77, 78 | Jan 23 | 1.5 | The definition of limits | 1-3, 7-10, 42 |
| Jan 26 | 1.6 | One-sided limits | 1-3, 4, 8, 9-13, 19-24, 35-38 | Jan 28 | 1.7 | Continuous functions | 1-4, 5-8, 15-26, 27-30 | Jan 30 | 1.7 | The Intermediate Value Theorem | 33-40, 43, 46 |
| Feb 2 | | Review | pp69-70: 21-37, 57, 62-63 | **Feb 3** | **Exam I (6:30 pm - 8:30 pm)** | Feb 4 | 1.8 | Limits and infinity | 1-6, 11-15, 21-26, 27-32, 47-48, 59-62 | Feb 6 | 2.1 | Derivatives at a point | 11-18, 23-24, 33-34 |
| Feb 9 | 2.2 | The derivative function | 1-6, 17-18, 27-30, 33-36 | Feb 11 | 2.3 | Differentiation rules | 1-12, 17-21, 39-40, 49-51 | Feb 13 | 2.4 | Derivatives as rates of change | 7-14, 22 |
| Feb 16 | 2.5 | Derivatives of trig functions | 1-20, 27-28, 31-32, 43 | Feb 18 | 2.6 | Derivatives of exponential functions | 1-20, 25-30, 37-46, 52 | Feb 20 | 2.7 | The chain rule | 9-15, 23-60, 73 |
| Feb 23 | 2.8 | Implicit differentiation | 1-10, 19-24, 25-28, 41-42 | Feb 25 | 2.9 | Derivatives of inverse functions | 1-12, 21-24, 28-32, 37-38 | Feb 27 | 2.10 | Log functions | 21-24, 25-26, 27-45, 71-82 |
| Mar 2 | | Review | | **Mar 3** | **Exam II (6:30 pm - 8:30 pm)** | Mar 4 | 2.11 | Derivatives of inverse trig functions | 1-20, 21-34, 50 | Mar 6 | 2.13 | Linearization and differentials | 7-14, 16, 19-22, 29-32 |
| Mar 9 | | Spring Break! (no class) | | Mar 11 | | Spring Break! (no class) | | Mar 13 | | Spring Break! (no class) | |
| Mar 16 | 3.1 | Extremal values | 15-22, 31-44, 45-51, 53, 57 | Mar 18 | 3.2 | The Mean Value Theorem | 1-2, 5-8, 9, 13-16, 27, 33 | Mar 20 | 3.3 | Increasing/decreasing functions | 1-32 |
| Mar 23 | 3.4 | Concavity and curve sketching | 1-8, 9-16, 19-20 | Mar 25 | 3.4 | More curve sketching -> optimization | 33-38, 43-44, 69 | Mar 27 | 3.6 | Applied optimization | 5, 14, 18-25 |
| Mar 30 | 3.7 | l'Hopital's rule | 11-20, 41, 46, 47-52, 58 | Apr 1 | 3.9 | ~~Hyperbolic functions~~ | 17-30, 45, 47 | Apr 3 | 3.8 | ~~Newton's method~~ | 1-9 |
| Apr 6 | | Review | pp237-239: 1, 3, 4-6, 7-8, 10-11, 14, 17, 18, 29-34, 49-50, 55-58, 74, 77, 81, 87-90 | **Apr 7** | **Exam III (6:30 pm - 8:30 pm)** | Apr 8 | 4.1 | Antiderivatives | 1-70 (as many as you need from each section) 83-84, 85-89 | Apr 10 | 4.2 | Areas - estimating with finite sums | 1-7, 9, 10 |
| Apr 13 | 4.3 | Areas - limits of sums | 1-16, 35-40 (set up limits only, don't evaluate) | Apr 15 | 4.4 | Riemann sums and the definite integral | 1-8, 9-12, 15-24, 39-42, 52, 54 | Apr 17 | 4.5 | The Fundamental Theorem of Calculus | 1-11, 19-29, 33, 35-36 |
| Apr 20 | 4.6 | Integration by substitution | 1-54 | Apr 22 | | Review and/or additional topics | | Apr 24 | | Review | pp301-305: 1-23, 25-28, 43-44, 123; 51-122 are also good practice |
| **May 1** | **Final exam (10:30 am - 12:30 pm)** | |