Introduction to Functions and Calculus I
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Home > assignments
| Week | Date | Topic | Homework (due at the beginning of class) |
|---|---|---|---|
| 1 | Monday 9/15/03 |
Course Orientation. | |
| 2 | Monday 9/22/03 |
The Bottle Calibration Problem. | Introductory Assignment BottleCalibration.pdf |
| Wednesday 9/24/03 |
§ 1.1-1.2. Functions. | ||
| Friday 9/26/03 |
§ 1.3. Representations of Functions. | § 1.2. Exercises 2, 12, 15, 18; pp. 10-15
Solutions |
|
| 3 | Monday 9/29/03 |
§ 2.1-2.2. Characterizing Functions and Some Basic Examples. | § 1.3. Exercises 1, 6, 14, 15, 32, 46; pp. 34-47
Solutions |
| Wednesday 10/1/03 |
§ 2.3-2.4. Average Rates of Change; Reading a Graph. | § 2.1. Exercises 1, 4, 6; pp. 58-61. § 2.2. Exercises 4, 10, 13, 15; pp. 70-73. Solutions |
|
| Friday 10/3/03 |
§ 3.1-3.2. Algebra of Functions and Composition of Functions. | § 2.3. Exercises 2, 3, 5, 6; pp. 77-81. § 2.4. Exercises 4, 6, 10, 12; pp. 89-94 Solutions |
|
| 4 | Monday 10/6/03 |
§ 3.3-3.4. Decomposition of Functions; Altered Functions (Shifting and Translating). | § 3.1. Exercises 2, 6, 9; pp. 105-108. § 3.2. Exercises 3, 4, 14, 15, 47, 48; pp. 113-119. Solutions |
| Wednesday 10/8/03 |
§ 4.1-4.2. Linear Functions. | § 3.3. Exercises 2, 6; pp. 121-122. § 3.4. Exercises 4, 6, 13; pp. 133-138. Solutions |
|
| Friday 10/10/03 |
§ 4.3-4.4. Modeling, Slope, and Applications. | ||
| 5 | Monday 10/13/03 |
Columbus Day No Class |
|
| Wednesday 10/15/03 |
§ 5.1-5.2. Slope of a Curve and the Derivative. | § 4.2. Exercises 1, 2, 3; pp. 151-153. § 4.3. Exercises 1, 4, 5; pp. 155-157. § 4.4. Exercises 3, 4, 10; pp. 164-168. Solutions |
|
| Friday 10/17/03 |
§ 5.1-5.2. Slope of a Curve and the Derivative. | ||
| 6 | Monday 10/20/03 |
§ 5.3-5.4. Interpreting the Derivative. |
§ 5.1. Exercises 3, 5, 13, 17; pp. 181-187. § 5.2. Exercises 4, 11, 17; pp. 192-194. Solutions |
| Monday 10/20/03 |
Review Session for Midterm I in Science A at 7-8:30 PM. | ||
| Wednesday 10/22/03 |
§ 6.1-6.3. Quadratic Functions. | ||
| Thursday 10/23/03 |
Midterm I - Chapters 1-4 in Science D at 7-9 PM. | ||
| Friday 10/24/03 |
§ 6.4. Motion and Gravity. |
§ 5.3. Exercises 3, 11; pp. 200-205. § 5.4. Exercises 1, 5, 8, 9; pp. 212-215. Solutions |
|
| 7 | Monday 10/27/03 |
§ 7.1-7.2. Limits. |
§ 6.1. Exercises 3, 6; p. 222. § 6.2. Exercises 4, 5, 6, 7; pp. 228-230. § 6.3. Exercises 4, 5, 10, 11, 12, 14; pp. 235-237. Solutions |
| Wednesday 10/29/03 |
§ 7.3-7.4. Finding Limits and Continuity. |
§ 6.4. Exercises 4, 8; pp. 241-243. § 7.1. Exercises 1, 3, 10, 15, 16; pp. 256-258. Solutions |
|
| Friday 10/31/03 |
§ 8.1-8.2. Local Linearity; The First and Second Derivatives in Context. |
§ 7.2. Exercises 1, 5, 10; pp. 262-265. § 7.4. Exercises 2, 7, 8, 9, 15; pp. 276-278. Solutions |
|
| 8 | Monday 11/3/03 |
§ 8.3. Derivatives of Sums, Products, and Quotients. | |
| Wednesday 11/5/03 |
§ 9.1-9.2. Exponential Growth and the Exponential Function. | § 8.1. Exercises 1, 5; pp. 284-285. § 8.3. Exercises 1, 2, 3, 4, 5, 6, 7, 8, 14, 17, 20, 21, 22, 23; pp. 300-301. Solutions |
|
| Friday 11/7/03 |
§ 9.3. Applications of the Exponential Function. |
§ 9.1. Exercises 1, 3; pp. 307-309. § 9.2. Exercises 8, 9, 25, 26, 27, 28, 29, 31; pp. 316-320. Solutions |
|
| 9 | Monday 11/10/03 |
§ 9.4. The Derivative of the Exponential Function. | |
| Wednesday 11/12/03 |
§ 10.1. Analysis of Extrema. |
§ 9.3. Exercises 1, 3, 10, 11; pp. 330-334. § 9.4. Exercises 5, 6, 7, 8, 9; pp. 338-340. Solutions |
|
| Friday 11/14/03 |
§ 10.2. Concavity and the Second Derivative. |
§ 10.1. Exercises 1, 2, 3, 7, 8, 9, 18; pp. 354-356.
Solutions |
|
| 10 | Monday 11/17/03 |
§ 10.3. Optimization. |
§ 10.2. Exercises 1, 2, 5, 10, 14, 16; pp. 358-360.
Solutions |
| Monday 11/17/03 |
Review Session for Midterm II in Science A at 5:30-7 PM. | ||
| Wednesday 11/19/03 |
§ 11.1. Cubic Functions. |
§ 10.3. Exercises 2, 4, 5, 13; pp. 366-371.
Solutions |
|
| Thursday 11/20/03 |
Midterm II - Chapters 5-10 (Section 10.1 and 10.2 only) in Science D at 7-9 PM. | ||
| Friday 11/21/03 |
§ 11.2-11.3. Polynomials. | ||
| 11 | Monday 11/24/03 |
§ 11.4. Rational Functions. |
§ 11.1. Exercises 1, 2, 3, 4, 5, 6, 7, 12, 13; pp. 377-379.
§ 11.2. Exercises 2, 3, 4, 5, 6, 7, 8, 9, 15, 17, 22, 23; pp. 388-390. Solutions |
| Wednesday 11/26/03 |
§ 12.1-12.3. Inverse Functions. |
§ 11.3. Exercises 2, 4, 5, 9; pp. 399-403.
§ 11.4. Exercises 1, 4, 7, 12; pp. 417-420. Solutions |
|
| Friday 11/28 |
Thanksgiving Recess No Class |
||
| 12 | Monday 12/1/03 |
§ 13.1. Defining Logarithms. | |
| Wednesday 12/3/03 |
§ 13.2. Properties of Logarithms. |
§ 12.1. Exercises 3, 5, 6, 7; pp. 427-428.
§ 12.2. Exercises 2, 6, 7, 8, 11 (You only need to show that the function in Exercise 11 is invertible. You do not need to find the inverse.); pp. 432-434. Solutions |
|
| Friday 12/5/03 |
§ 13.3-13.4. Using Logarithms. |
§ 12.3. Exercises 2, 4, 7; pp. 434-436.
§ 13.1. Exercises 1; pp. 443-444. § 13.2. Exercises 1, 4, 5, 7, 9, 11, 13, 15, 16; pp. 448-449. Solutions |
|
| 13 | Monday 12/8/03 |
§ 14.1-14.3. Derivatives of logbx and bx; Examples. |
§ 13.3. Exercises 2, 5, 9, 11, 13, 15, 17, 19, 21, 23, 27, 32;
pp. 459-462.
§ 13.4. Exercises 1, 2, 3; p. 466. Solutions |
| Wednesday 12/10/03 |
§ 16.1-16.2. The Chain Rule. |
§ 14.1. Exercises 1, 2, 3, 4, 5, 6, 7, 8, 10;
pp. 471-472.
§ 14.2. Exercises 1, 2, 3, 4, 5, 8; pp. 475-476. Solutions |
|
| Friday 12/12/03 |
§ 16.3. Using the Chain Rule. |
§ 14.3. Exercises 6, 7, 8, 9, 10, 18; pp. 481-485.
§ 16.1. Exercises 4, 7, 10, 12, 16, 19, 20; pp. 519-521. Solutions |
|
| 14 | Monday 12/15/03 |
Course Evaluations and Review |
§ 16.2. Exercises 1, 2, 3, 4; p. 522.
§ 16.3. Exercises 1, 2, 8, 31, 34; pp. 529-534. Solutions |
Fall 2003
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Last modified: 12/17/2003
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