| Date |
Reading | Topics |
Homework |
| 9/2, Fri (Lecture 1) | 1.1 |
Four ways to represent a function |
Section 1.1 Solution Section 1.1 : 1, 2, 7, 8, 9, 10, 16, 26, 27, 28, 29, 32, 33, 45, 46, 72, 76, 78 Due : 9/12 Mon. |
| 9/5, Mon | No Class (Labor Day) | ||
| 9/7, Wed (Lecture 2) | 1.2 |
Mathematical Models : A catalog of essential functions |
Section 1.2 Solution Section 1.2 : 1(b),(c) (d), 2(b) (c), (e), (f), 12, 14, 20, 29 Due : 9/12 Mon. |
| 9/9, Fri (Lecture 3) | 1.3 |
New functions from old functions | Section 1.3 Solution Section 1.2 : 4, 5, 6 Section 1.3 : 3, 4, 12, 19, 21, 24, 29(b) Due : 9/12 Mon. |
| 9/12, Mon (Lecture 4) | 1.4 | Exponential functions | Section 1.4 Solution Section 1.3 : 36, 44, 46, 64 Section 1.4 : 1, 2, 3, 4, 11, 14, 20, 30 (a) (b) (c), 32(a), (b), (c), 37 Section 1.5 : 15, 21, 22, 24, 27 Due : 9/19 Mon. |
| 9/14, Wed (Lecture 5) | 1.5 |
Inverse functions and logarithms |
Section 1.5 Solution Section 1.5 : 16, 25, 35, 36, 38 50, 52, 54, 55, 56, 62, 63 Due : 9/19 Mon. |
| 9/16, Fri (Lecture 6) | 2.1 | The tangent and velocity problems |
Section 2.1 Solution Section 1.5 : 64, 69, 70 Section 2.1 : 3, 4 Due : 9/19 Mon. |
| 9/19, Mon (Lecture 7) | 2.2 |
The limit of a function |
Section 2.2 Solution Section 2.2 : 2, 6, 7, 8(a)-(d), 15, 16, 21, 23 Due : 9/28 Wed. |
| 9/21, Wed (Lecture 8) | 2.3 | Calculating limits using the limit laws | Section 2.3 Solution Section 2.2 : 32, 36, 40 Section 2.3 : 6, 10, 12, 18, 30, 44, 49, 52 Due : 9/28 Wed. |
| 9/23, Fri (Lecture 9) | Review |
Section 2.3 : 37, 38, 39, 40 Due : 9/28 Wed. |
|
| 9/26, Mon | Midterm I (Solution) | ||
| 9/28, Wed (Lecture 10) | 2.4 | The precise definition of a limit | Section 2.4 Solution Section 2.4 : 19, 20 Due : 10/3 Mon. |
| 9/30, Fri (Lecture 11) | 2.5 | Continuity | Section 2.5 Solution Section 2.5 : 3, 4, 11, 12, 24, 42, 45 Due : 10/3 Mon. |
| 10/3, Mon (Lecture 12) | 2.5, 2.6 | Continuity and Limits at infinity | Section 2.6 Solution Section 2.5 : 53, 54, 55 Section 2.6 : 3, 4 Due : 10/12 Wed. |
| 10/5, Wed (Lecture 13) | 2.6, 2.7 | Limits at infinity, Derivatives and rate of change | Section 2.6 : 13, 18, 28, 31, 48, 60, 62, 65(a) Due : 10/12 Wed. |
| 10/7, Fri (Lecture 14) | 2.7, 2.8 | Derivatives and rate of change and The derivative as a function | Section 2.7 Solution Section 2.7 : 5, 6, 14, 16, 17, 28, 32, 34, 38 Due : 10/12 Wed. |
| 10/10, Mon | No Class (Columbus Day) | ||
| 10/11, Tue (Lecture 15) | 2.8 | The derivative as a function | Section 2.8 Solution Section 2.8 : 3, 4, 5, 6, 7, 26, 28, 53, 54 Due : 10/17 Mon. |
| 10/12, Wed (Lecture 16) | 3.1 | Derivative of polynomials and exponential functions | Section 3.1 Solution Section 3.1 : 4, 5, 6, 9, 10, 15, 18, 20, 26, 28, 34, 50, 70, 78, 83 Due : 10/17 Mon. |
| 10/14, Fri (Lecture 17) | 3.2 | The product and quotient rules | Section 3.2 Solution Section 3.2 : 3, 4, 8, 10, 16, 24, 28, 30, 42, 44, 64 Due : 10/17 Mon. |
| 10/17, Mon (Lecture 18) | 3.3 | Derivatives of trigonometric functions | Section 3.3 Solution Section 3.3 : 5, 6, 14, 18, 24, 34 39, 42 Due : 10/24 Mon. |
| 10/19, Wed (Lecture 19) | 3.4 | The chain rule | Section 3.4 Solution Section 3.4 : 8, 9, 10, 13, 15, 20, 26, 39, 54, 70, 84 Due : 10/24 Mon. |
| 10/21, Fri (Lecture 20) | 3.5 | Implicit differentiation | Section 3.5 Solution Section 3.5 : 5, 6, 10, 12, 16, 20 26, 28, 35, 36, 77 Due : 10/24 Mon. |
| 10/24, Mon (Lecture 21) | Review | ||
| 10/26, Wed | Midterm II (Solution) | ||
| 10/28, Fri (Lecture 22) | 3.6 | Derivatives of logarithmic functions | Section 3.6 Solution Section 3.6 : 2, 6, 10, 15, 22, 39, 40, 43, 44, 51 Due : 10/31 Mon. |
| 10/31, Mon (Lecture 23) | 3.7 | Rates of change in the natural and social sciences | Section 3.7 Solution Section 3.7 : 8, 9, 26, 29 Due : 11/7 Mon. |
| 11/2, Wed (Lecture 24) | 3.8, 3.9 | Exponential growth and decay, Related rates | Section 3.8 Solution Section 3.8 : 3, 4, 20, 21 Section 3.9 Solution Section 3.9 : 4, 6 Due : 11/7 Mon. |
| 11/4, Fri (Lecture 25) | 3.10 | Linear approximation and differentials | Section 3.10 Solution Section 3.10 : 2, 4, 11, 12, 25, 26 Due : 11/7 Mon. |
| 11/7, Mon (Lecture 26) | 3.11 | Hyperbolic functions | Section 3.11 Solution Section 3.11 : 8, 24(c), 30, 33 Section 4.1 : 7, 8, 12, 16, 17, 28 Due : 11/14 Mon. |
| 11/9, Wed (Lecture 27) | 4.1 | Maximum and minimum values | Section 4.1 Solution Section 4.1 : 36, 44, 47, 51, 54, 56, 60, 61 Due : 11/14 Mon. |
| 11/11, Fri | No Class (Veterans Day) | ||
| 11/14, Mon (Lecture 28) | 4.2 | The Mean Value Theorem | Section 4.2 Solution Section 4.2 : 3, 6, 8, 12, 14 |
| 11/16, Wed (Lecture 29) | 4.3 | Review and How derivatives affect the shape of a graph | |
| 11/18, Fri | Midterm III (Solution) |
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| 11/21, Mon (Lecture 30) | 4.3, 4.4 | How derivatives affect the shape of a graph Indeterminate forms and L'Hospital's rule |
Section 4.3 Solution Section 4.3 : 9, 10, 12, 16, 27, 28, 37, 38, 45, 46, 72(a),(b) Due : 11/28 Mon. |
| 11/23, Wed (Lecture 31) | 4.4 | Indeterminate forms and L'Hospital's rule,
Applications |
|
| 11/25, Fri | No Class (Thanksgiving) | ||
| 11/28, Mon (Lecture 32) | 4.4 | L'Hospital's rule, | Section 4.4 Solution Section 4.4 : 2, 8, 11, 14, 18, 22, 43, 44, 48, 55, 56, 57, 64, 87 Due : 12/5 Mon. |
| 11/30, Wed (Lecture 33) | 4.5, 4.7 | Summary of curve sketching | Section 4.5 Solution Section 4.5 : 4, 8, 10, 34, 50, 51 Due : 12/5 Mon. |
| 12/2, Fri (Lecture 34) | 4.7, 4.8 | Optimization problems, Newton's method | Section 4.7 Solution Section 4.7 : 4, 8, 10, 14, 21, 22 Due : 12/5 Mon. |
| 12/5, Mon (Lecture 35) | 4.8 |
Newton's method with Matlab | Section 4.8 Solution Section 4.8 : 6, 7, 8, 10, 12, 16 Due : 12/9 Fri. |
| 12/7, Wed (Lecture 36) | 4.9 | Antiderivatives | Section 4.9 Solution Section 4.9 : 2, 5, 6, 8, 10, 20, 26, 38, 64, 66 Due : 12/9 Fri. |
| 12/9, Fri (Lecture 37) | Wrap up and Review | ||
| 12/16, Fri | FINAL (Olsen 403, 8:00AM -
11:00AM) |