Date | Section | Lecture Summary | Problems | Comments |
Wednesday 11/21 | 4.5 | Section 4.5 L Hospitals Rule Section 4.5 continued |
5,6,8,11,13,18,24,28,32,35 | |
4.6 | Section 4.6 Optimization | 9,10,12,13,15,17,20,21,23,33 | ||
4.7 | Section 4.7 Application to Business and Economics | 5,15,17 | ||
4.8 | Section 4.8 Newton's Method | 5,21 | ||
Tuesday 11/13 | 4.1 | Section 4.1 Related Rates | 1,2,5,9,11,17,20,26,29 | |
4.2 | Section 4.2 Maximum and Minimum Values | 5,6,7,8,14,23,25,27,28,30,31,35,37,47 | ||
4.3 | Section 4.3 Derivatives and the Shapes of Curves | 5,6,7,9,11,14,18,19,20,26,27,48,49 | ||
Tuesday 11/6 | 3.6 | Section 3.6 Implicit Differentiation | 1,3,7,15,17,26,29,39,47,55 | |
3.7 | Section 3.7 Derivatives of Logarithmic Functions | 3,9,15,19,21,23 | ||
3.8 | Section 3.8 Linear Approximations and Differentials | 5,9,11,23,25,27,31,33 | ||
Tuesday 10/31 | 3.5 | Section 3.5 the Chain Rule | 3,4,5,6,7,11,16,19,21,31,41,42,45,51 | |
Thursday 10/26 | 3.4 | Section 3.4 notes - derivatives of trigonometric functions | 2,7,9,10,12,13,15,18,27,32,33 | Optional reading: trig supplement: Euler's formula (this material will not be on any exam, but is interesting and worth knowing). |
Tuesday 10/24 | 3.3 | Section 3.3 rates of change in the social and physical sciences | 2,3,4,17,18,23,24,27,32,33 | |
Tuesday 10/16 | 3.1 | Section 3.1 polynomials and exponentials | 3,11,12,14,19,21,25,26,37,38,46 | |
3.2 | Section 3.2 notes - product and quotient rules | 2,3,6,9,11,14,16,19,31,33,35,43 | ||
Thursday 10/11 | 2.9 | Section 2.9 notes - what f' says about f | 1,2,3,5,6,7,9,10,11,12,13,14,15,17,21,23,24 | |
Monday 10/2 | 2.8 | Section 2.8 notes - the derivative as a function | 1,2,3,5,7,10,12,19,21,22,25,28,29,31,32,34,37,39,44 | |
2.7 | Section 2.7 notes - derivatives | 1,2,3,4,5,11,13,15,19,21,25,28,29,31 | ||
2.6 | Section 2.6 notes - tangents, velocities, rates of change | 3,5,6,14,15,17,18,20,22,23,26 | ||
Thursday 9/20 | 2.5 | Section 2.5 notes - limits involving infinity | 2,3,7,8,9,10,11,12,19,21,23,46 | |
Tuesday 9/18 | 2.4 | Section 2.4 notes - continuity | 3,4,9,10,22,26,29,31,32,33,37,42,45,49 | In problem 45, "(6)" refers to the expression marked 6 next to Figure 5 on page 121, which gives the limits of the sine and cosine functions as x tends to zero. You can assume (6) is true. |
2.3 | 1,3,5,9,12,13,19,20,25,30,35,37,41,46 | |||
Tuesday 9/11 | 2.2 | Section 2.2 notes - the limit of a function | 3,4,6,7,11,15,18,19,24,28 | |
2.1 | Section 2.1 notes - tangents and velocities | 1,2,3,6,8,9 | ||
Thursday 9/6 | 1.7 | Section 1.7 notes - parametric curves | 5,7,8,15,16,17,20 | |
Tuesday 9/4 | 1.5 | Section 1.5 notes - exponential functions | 5,9,13,17,19,23 | |
1.6 | Section 1.6 notes - inverse functions and logarithms | 3,5,9,15,21 | ||
Friday 8/31 | 1.3 | Section 1.3 - new functions from old | 2,3,5,13,16,29,37,39,43 | |
1.2 | Section 1.1/1.2 notes | 1,2,3,4,13,15,17,19,20 | ||
Inclass Problems, Sections 1 and 2 | 15 supplemental problems | |||
Thursday 8/30 | 1.1 | Section 1.1/1.2 notes | 1,2,9,13,21,22,23,27,32,41,44,54 | Notes include section 1.2 |