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Precalc
Math Dept. |
|
Unless stated otherwise, all homework assignments listed below are due at the start of the
following class. Homework assignments listed here should be completed on paper and turned
in to your course assistant.
| Week |
Date |
Day |
Section |
Topics |
Homework Problems |
|---|
| 1 |
9/21 |
T |
|
Introductory Meeting, Hall D, 8:30AM |
§2.1 Worksheet [PDF 56KB] (due 9/27) |
| 2 |
9/27 |
M |
2.1 |
Welcome, The Tangent and Velocity Problems |
2, 4, 5, 6, 8, 9 |
| 9/29 |
W |
2.2 |
The Limit of a Function |
2, 4, 8, 10, 14, 18, 20, 22 |
| 10/1 |
F |
2.3 |
Calculating Limits using the Limit Laws |
2, 4, 8, 12, 18, 32, 34, 36 |
| Precalculus Quiz I, Hall C, 3:00-4:00pm |
| 3 |
10/4 |
M |
2.4 |
Continuity: up to Intermediate Value Theorem |
1, 4, 6, 8, 12, 16, 28 |
| 10/6 |
W |
2.4 |
Continuity: Intermediate Value Theorem |
32, 40 |
| 2.5 |
Infinite Limits |
1(a)(b), 4(c)(d)(e), 10, 14 |
| 10/7 |
F |
2.5 |
Limits at Infinity |
1(c)(d), 4(a)(b)(f), 8, 12,
22, 23, 27, 30, 32, 36 |
| Precalculus Quiz II, Hall C, 3:00-4:00pm |
| 4 |
10/11 |
M |
Columbus Day: No Class |
| 10/13 |
W |
2.6 |
Tangents, Velocities, and other Rates of Change |
1, 2, 3, 14, 19, 24, 26 |
| 2.7 |
Derivatives |
1, 14, 22, 34, 36 |
| 10/15 |
F |
2.8 |
The Derivative as a Function |
1, 3, 4, 10, 24, 28, 30, 38, 46, 48 |
| 5 |
10/18 |
M |
2.10 |
What does f' say about f? |
2, 5, 8, 10, 12, 16, 24, 26, 27, 28 |
| 10/20 |
W |
3.1 |
Derivatives of Polynomials and Exponentials |
1, 2, 6, 19, 20, 38, 50, 64 |
| 10/22 |
F |
3.2 |
The Product and Quotient Rule |
1, 2, 6, 18, 31, 34, 38, 42 |
| Midterm I goes up to Section 3.2 |
| 6 |
10/25 |
M |
3.3 |
Rates of Change in the Natural and Social Sciences |
1, 14, 20, 24, 28 (due 10/29) |
| 10/27 |
W |
3.4 |
Derivatives of Trigonometric Functions |
6, 18, 30, 38 |
| Midterm I: 7-9pm in Hall C |
| 10/29 |
F |
3.5 |
The Chain Rule: up to (not inc.) parametric curves |
2, 4, 14, 26, 32, 42, 52, 54, 56 |
| 7 |
11/1 |
M |
3.5 |
The Chain Rule: parametric curves |
66, 68 |
| 3.6 |
Implicit Differentiation: up to (not inc.) orthogonal
trajectories |
1, 2, 6, 14, 18, 20, 22(b) |
| 11/3 |
W |
3.6 |
Implicit Differentiation: orthogonal trajectories,
inverse functions |
26, 36, 40, 42, 52, 54 |
| 11/5 |
F |
3.7 |
Derivatives of Logarithmic Functions |
4, 6, 12, 18, 20, 28, 32, 34 |
| 8 |
11/8 |
M |
3.8 |
Linear Approximations and Differentials |
1, 6, 7, 10, 14, 18, 20, 22 |
| 11/10 |
W |
4.1 |
Related Rates |
2, 6, 12, 18, 20, 28, 32, 34 |
| 11/12 |
F |
4.2 |
Maximum and Minimum Values |
2, 4, 6, 8, 12, 40, 48, 56 |
| 9 |
11/15 |
M |
4.3 |
Derivatives and the Shape of Curves: Mean Value Theorem |
1, 43, 44, 46, 48 |
| 11/17 |
W |
4.3 |
Derivatives and the Shape of Curves: Graphing |
2, 4, 6, 8, 10, 14, 18, 38 |
| 11/19 |
F |
4.4 |
Graphing with Calculus and Calculators |
4, 8, 10, 22, 24, 25, 32 |
| 10 |
11/22 |
M |
4.5 |
Indeterminate Forms and L'Hopital's Rule |
1, 4, 8, 12, 28, 33, 34, 50, 58 |
| 11/24 |
W |
|
Flex Day |
| 11/26 |
F |
No Class: Thanksgiving Break |
| 11 |
11/29 |
M |
4.6 |
Optimization Problems |
6, 8, 18, 20, 25, 38, 42, 44 |
| Midterm II covers 3.3--4.6 |
| 12/1 |
W |
4.7 |
Applications to Economics |
1, 3, 4, 5, 6, 15, 16, 18 |
| 12/3 |
F |
4.8 |
Newton's Method |
1, 2, 6, 10, 22, 28, 30 |
| 12 |
12/6 |
M |
4.9 |
Antiderivatives |
24, 26, 30, 36 (due 12/10) |
| 12/8 |
W |
5.1 |
Areas and Distances: up to sigma notation |
2, 4, 6, 8 |
| Midterm II: 7-9pm in Hall C |
| 12/10 |
F |
5.1 |
Areas and Distances: sigma notation, the distance problem |
12, 18 |
| 5.2 |
The Definite Integral: up to midpoint rule |
2, 6(a)(b), 16, 36, 49 |
| 13 |
12/13 |
M |
5.2 |
The Definite Integral: midpoint rule, properties |
6(c), 10, 40, 46, 47 |
| 12/15 |
W |
5.3 |
Evaluating Definite Integrals |
2, 8, 12, 16, 26, 48, 56, 64 |
| 12/17 |
F |
5.4 |
The Fundamental Theorem of Calculus |
2, 6, 14, 18, 19, 20, 24, 26 |
| 14 |
12/20 |
M |
5.5 |
Integration by Substitution |
4, 6, 16, 32, 44, 50, 57, 65
(not collected) |
|
