Introduction to Functions and Calculus I
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| Week | Date | Topic |
Notes and Homework (due at the beginning of class) Exercises marked with a ( |
|---|---|---|---|
| 1 | Monday 9/20/04 |
Course Orientation. | Required first meeting: 8:30 am, Science Center D |
| 2 | Monday 9/27/04 |
The Bottle Calibration Problem. |
Introductory Assignment
BottleCalibration.pdf Solutions. |
| Wednesday 9/29/04 |
§ 1.1-1.2. Functions. |
§ 1.2. Exercises 2; pp. 10-15
Solutions. |
|
| Friday 10/01/04 |
§ 1.3. Representations of Functions. |
§ 1.2. Exercises 12, 15, 18; pp. 10-15 § 1.3. Exercises 1; pp. 34-47 Solutions. |
|
| 3 | Monday 10/04/04 |
§ 2.1-2.2. Characterizing Functions and Some Basic Examples. |
§ 1.3. Exercises 6, 14, 15, 32, 46; pp. 34-47
§ 2.1. Exercise 1; pp. 58-61. § 2.2. Exercise 3; pp. 70-73. Solutions. |
| Wednesday 10/06/04 |
§ 2.3-2.4. Average Rates of Change; Reading a Graph. |
§ 2.1. Exercises 4, 6; pp. 58-61. § 2.2. Exercises 4, 10, 13, 15; pp. 70-73. § 2.3. Exercise 2; pp. 77-81. § 2.4. Exercises 1; pp. 89-94 Solutions. |
|
| Thursday 10/07/04 |
Gateway I. Basic Algebra Skills. | ||
| Friday 10/08/04 |
§ 3.1-3.2. Algebra of Functions and Composition of Functions. |
§ 2.3. Exercises 3, 5, 6; pp. 77-81. § 2.4. Exercises 4, 6, 10, 12; pp. 89-94 § 3.1. Exercise 2; pp. 105-108. § 3.2. Exercise 1; pp. 113-119. Solutions. |
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| 4 | Monday 10/11/04 |
Columbus Day No Class |
|
| Wednesday 10/13/04 |
§ 3.3-3.4. Decomposition of Functions; Altered Functions (Shifting and Translating). |
§ 3.1. Exercises 6, 9; pp. 105-108. § 3.2. Exercises 3, 4, 14, 15, 47, 48; pp. 113-119. § 3.4. Exercise 4; pp. 133-138. Solutions. |
|
| Friday 10/15/04 |
§ 4.1-4.2. Linear Functions. |
§ 3.3. Exercises 2, 6; pp. 121-122. § 3.4. Exercises 1, 6, 13; pp. 133-138. § 4.1. Exercise 1; pp. p. 143. Solutions. |
|
| 5 | Monday 10/18/04 |
§ 4.3-4.4. Modeling, Slope, and Applications. |
§ 4.2. Exercises 1, 2, 3; pp. 151-153. § 4.3. Exercise 1; pp. 155-157. Solutions. |
| Wednesday 10/20/04 |
§ 5.1-5.2. Slope of a Curve and the Derivative. |
§ 4.3. Exercises 4, 5; pp. 155-157.
Solutions. |
|
| Friday 10/22/04 |
§ 5.1-5.2. Slope of a Curve and the Derivative. |
§ 4.4. Exercises 3, 4, 10; pp. 164-168. § 5.1. Exercise 1; pp. 181-187. Solutions. |
|
| 6 | Monday 10/25/04 |
§ 5.1-5.2. Slope of a Curve and the Derivative. |
§ 5.1. Exercises 3, 5, 13, 17; pp. 181-187.
Solutions. |
| Monday 10/25/04 |
Midterm I Review Session.
7:30-9:00 PM in Science Center A. |
||
| Wednesday 10/27/04 |
§ 5.3-5.4. Interpreting the Derivative. |
§ 5.2. Exercises 4, 11, 17; pp. 192-194. § 5.3. Exercise 1; pp. 200-205. Solutions. |
|
| Thursday 10/28/04 |
Midterm I - Chapters 1-4.
7:30-9:30 PM in Science Center D |
||
| Friday 10/29/04 |
§ 6.1-6.3. Quadratic Functions. | ||
| 7 | Monday 11/01/04 |
§ 6.4. Motion and Gravity. |
§ 5.3. Exercises 3, 11; pp. 200-205. § 5.4. Exercises 1, 5, 8, 9; pp. 212-215. § 6.1. Exercises 1, 3, 6; p. 222. Solutions. |
| Wednesday 11/03/04 |
§ 7.1-7.2. Limits.
Midterm Course Evaluations. |
§ 6.2. Exercises 4, 5, 6, 7; pp. 228-230. § 6.3. Exercises 4, 5, 10, 11, 12, 14; pp. 235-237. § 7.2. Exercise 10; pp. 262-265. Solutions. |
|
| Friday 11/05/04 |
§ 7.3-7.4. Finding Limits and Continuity.
Deadline for passing Gateway I. |
§ 6.4. Exercises 4, 8; pp. 241-243. § 7.1. Exercises 1, 3, 10, 15, 16; pp. 256-258. § 7.4. Exercise 1; pp. 276-278. Solutions. |
|
| 8 | Monday 11/08/04 |
§ 8.1-8.2. Local Linearity; The First and Second Derivatives in Context. |
§ 7.2. Exercises 1, 5, 12; pp. 262-265. § 8.2. Exercise 4; p. 290. Solutions. |
| Tuesday 11/09/04 |
Gateway II. Limits and Derivatives: Definitions and Concepts. | ||
| Wednesday 11/10/04 |
§ 8.3. Derivatives of Sums, Products, and Quotients. |
§ 7.4. Exercises 2, 7, 8, 9, 15; pp. 276-278.
§ 8.1. Exercises 1, 5; pp. 284-285. Solutions. |
|
| Friday 11/12/04 |
§ 9.1-9.2. Exponential Growth and the Exponential Function. |
§ 8.3. Exercises 1, 2, 3, 4, 5, 6, 7, 8, 14, 17, 20, 21, 22, 23;
pp. 300-301.
§ 9.1. Exercise 2; pp. 307-309. Solutions. |
|
| 9 | Monday 11/15/04 |
§ 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. |
| Wednesday 11/17/04 |
§ 9.4. The Derivative of the Exponential Function. |
§ 9.3. Exercises 1, 3, 10, 11; pp. 330-334.
§ 9.4. Exercise 2 Solutions. |
|
| Friday 11/19/04 |
§ 10.1. Analysis of Extrema. |
§ 9.4. Exercises 5, 6, 7, 8, 9; pp. 338-340.
Solutions. |
|
| 10 | Monday 11/22/04 |
§ 10.2. Concavity and the Second Derivative. |
§ 10.1. Exercises 1, 2, 3, 4, 7, 8, 9, 18; pp. 354-356. § 10.2. Exercise 1 Solutions. |
| Wednesday 11/24/04 |
§ 10.3. Optimization. |
§ 10.2. Exercises 2, 5, 10, 14, 16; pp. 358-360. § 10.3. Exercise 4 Solutions. |
|
| Friday 11/26/04 |
Thanksgiving Recess No Class |
||
| 11 | Monday 11/29/04 |
§ 11.1-11.3. Polynomials. |
§ 10.3. Exercises 2, 5, 13; pp. 366-371. § 11.1. Exercises 1 Solutions. |
| Wednesday 12/01/04 |
§ 11.4. Rational Functions. |
§ 11.1. Exercises 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. § 11.3. Exercises 2, 4, 5, 9; pp. 399-403. § 11.4. Exercise 1 (a, b) Solutions. |
|
| Thursday 12/02/04 |
Gateway III. Differentiation Skills. | ||
| Friday 12/03/04 |
§ 12.1-12.3. Inverse Functions.
Deadline for passing Gateway II. |
§ 11.4. Exercises 1 (c, d, e, f, g, h), 4, 7, 12;
pp. 417-420. § 12.1. Exercise 1 Solutions. |
|
| 12 | Monday 12/06/04 |
§ 13.1. Defining Logarithms. |
§ 12.1. Exercises 3, 5, 6, 7; pp. 427-428.
§ 13.1. Exercises 1 Solutions. |
| Monday 12/06/04 |
Midterm II Review Session.
7:30-9:00 PM in Science Center A. |
||
| Wednesday 12/08/04 |
§ 13.2. Properties of Logarithms. |
§ 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.
§ 12.3. Exercises 2, 4, 7; pp. 434-436. § 13.2. Exercise 2 Solutions. |
|
| Thursday 12/09/04 |
Midterm II - Chapters 5-11.
7:30-9:30 PM in Science Center D. |
||
| Friday 12/10/04 |
§ 13.3-13.4. Using Logarithms. | ||
| 13 | Monday 12/13/04 |
§ 14.1-14.3. Derivatives of logbx and bx; Examples. |
§ 13.2. Exercises 1, 4, 5, 7, 9, 11, 13, 15, 16; pp. 448-449.
§ 13.3. Exercises 2, 5, 9, 11, 13, 15, 17, 19, 21, 23, 27, 32; pp. 459-462. Solutions. |
| Wednesday 12/15/04 |
§ 16.1-16.2. The Chain Rule. |
§ 13.4. Exercises 1, 2, 3; p. 466.
§ 14.1. Exercises 1, 2, 3, 4, 5, 6, 7, 8, 10; pp. 471-472. § 16.1. Exercise 1; pp. 519-521. Solutions. |
|
| Friday 12/17/04 |
§ 16.1-16.2. The Chain Rule. |
§ 14.2. Exercises 1, 2, 3, 4, 5, 8; pp. 475-476.
§ 14.3. Exercises 6, 7, 8, 9, 10, 18; pp. 481-485. Solutions. |
|
| 14 | Monday 12/20/04 |
§ 16.3. Using the Chain Rule. |
§ 16.1. Exercises 4, 7, 10, 12, 16, 19, 20; pp. 519-521.
§ 16.3. Exercise 1 Solutions. |
| Monday 1/10/05 |
Reading Week Homework Assignment |
§ 16.2. Exercises 1, 2, 3, 4; p. 522.
§ 16.3. Exercises 2, 8, 31, 34; pp. 529-534. Solutions. |
|
| Friday 1/14/05 |
Deadline for passing all gateway exams. |
Fall 2004
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Last modified: 12/14/2004
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