Detailed syllabus and Homework assignments(the homework is due by the Monday of the following week) | ||
| Week 1 | 05/21/07 05/22/07 05/23/07 05/24/07 |
Sec 1.1 Four Ways to Represent a Function : HW 1, 5, 21, 40, 58 Sec 1.2 Mathematical Models:A Catalog of Essential Functions: HW 2, 4, 8, 13, 15, 19 Sec 1.3 New Functions from Old Functions : HW 1, 2, 14, 16, 20, 25, 36, 54, 56 Sec 2.1 The tangent and Velocity Problems : HW 1, 6 Sec 2.2 The Limit of a Function : HW 2, 3, 4, 5, 9, 14, 25, 26, 27, 30 Sec 2.3 Calculating Limits Using the Limit Laws : HW 2, 4, 5, 8, 10, 16, 20, 26, 29, 36, 37 Sec 2.5 Continiuty : HW 4, 10, 16, 17, 18, 20, 23, 35, 41, 45, 47 |
| Week 2 | 05/28/07 05/29/07 05/30/07 05/31/07 |
Memorial Day (no class) Sec 2.6 Tangents, Velocities, and Other Rates of Change : HW 1, 5, 7, 8, 12, 18, 25, 27, 28 Sec 3.1 Derivatives : HW 2, 13, 26, 29 Sec 3.2 The Derivatice as a Functions : HW 1, 4, 7, 10, 23, 27, 28, 35, 36, 44, 45 Sec 3.3 Differentiation Formulas : HW 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 51, 64, 68, 73, 74 First Midterm (in class) |
| Week 3 | 06/04/07 06/05/07 06/06/07 06/07/07 |
Sec 3.4 Rates of Change in the Natural and Social Sciences : HW 3, 10, 13, 18, 25 Sec 3.5 Derivatives of Trigonometric Functions : HW 2, 4, 6, 8, 10, 12, 14, 16, 17, 18, 19, 29, 33, 40, 41, 42, 43 Sec 3.6 The Chain Rule : HW 8, 12, 16, 20, 24, 28, 32, 36, 40, 57, 58, 61, 63, 68 Sec 3.7 Implicit Differentiation : HW 11, 13, 16, 18, 32 Sec 3.8 Higher Derivatives : HW 1, 3, 5, 6, 7, 13, 15, 16, 17, 18, 27, 29, 33, 34, 35, 39, 49, 55, 56, 57, 58, 64, 65 Sec 3.9 Related Rates : HW 3, 8, 19, 23, 27, 28, 35 Sec 3.10 Linear Approximations and Differentials : HW 1, 2, 3, 4, 44, 47 |
| Week 4 | 06/11/07 06/12/07 06/13/07 06/14/07 |
Sec 4.1 Maximum and Minimum Values : HW 3, 5, 18, 23, 29, 30, 47, 51, 55 Sec 4.2 The Mean Value Theorem : HW 1, 6, 9, 14, 15, 16, 17, 19, 22, 25, 27, 33 Sec 4.3 How Derivatives Affect the Shape of a Graph : HW 5, 7, 8, 13, 18, 25, 29, 35, 37, 40, 50, 54, 55, 62 Sec 4.4 Limits at Infinity; Horizontal Asymptotes : HW 4, 7-31(all the odd numbers), 36, 40, 41, 50, 59, 60 Sec 4.5 Summary of Curve Sketching : HW 17, 19, 21, 26, 31, 33, 48, 49, 51, 56 Sec 4.7 Optimization Problems : HW 3, 4, 12, 16, 19, 24, 25, 26, 31, 53 Second Midterm (in class) |
| Week 5 | 06/18/07 06/19/07 06/20/07 06/21/07 |
Sec 4.10 Antiderivatives : HW 10, 15, 22, 31, 35, 36, 40, 42, 65, 73 Sec 5.1 Areas and Distances : HW 2, 5, 11, 15 Sec 5.2 The Definite Integral : HW 6, 17, 34, 36, 39, 48, 55, 56 Sec 5.3 The Fundamental Theorem of Calculus : HW 1, 3, 11, 17, 22, 27, 33, 45, 47, 54 Sec 5.4 Indefinite Integrals and the Net Change Theorem : HW 8, 12, 26, 43, 47, 52 Sec 5.5 The Substitution Rule : HW 7, 12, 14, 33, 48, 62 |
| Week 6 | 06/25/07 06/26/07 06/27/07 06/28/07 |
Sec 6.1 Areas between Curves : HW 2, 3, 7, 11, 34, 40, 41 Sec 6.2 Volumes : HW 20, 21, 22, 31, 32, 69 Review Final (in class) |