| Week of |
Topics |
Book Sections |
| 01/22/02 |
Lesson
Zero
The Real Numbers and the Cartesian Plane. Lines and Functions.
Graphing Calculators and Computer Algebra Systems. Solving Equations.
Trigonometric Functions. Exponential and Logarithmic Functions. Preview of
Calculus |
0.1 - 0.8 |
| 01/28/02 |
Lesson
One
The Concept of Limit. Computation of Limits. Continuity and Its
Consequences. Limits Involving Infinity |
1.1- 1.4 |
| 02/04/02 |
Lesson Two
Tangent Lines and Velocity. The Derivative. |
2.1, 2.2 |
| 02/11/02 |
Lesson Three
Computation of Derivatives. The Power Rule. The Product Rule. The
Quotient Rule. Derivative of Trigonometric Functions. Derivative of
Exponential and Logarithmic Functions. |
2.3 - 2.6 |
| 02/18/02 |
Lesson Four
The Chain Rule. Implicit Differentiation. Related Rates. The Mean
Value Theorem |
2.7- 2.9 |
| 02/25/02 |
Lesson Five
Linear Approximation and L'Hopital's Rule.. Newton's Method. Maximum
and Minimum Values. |
3.1 - 3.3 |
| 03/04/02 |
Lesson Six
Increasing and Decreasing Functions. Concavity. Overview of Curve
Sketching. |
3.4 - 3.6 |
| 03/11/02 |
Lesson
Seven
Optimization. Rate of Change in Applications |
3.7, 3.8 |
| 03/18/02 |
Spring Break |
| 03/25/02 |
Lesson Eight
Antiderivatives. Sums and Sigma Notation. Area. The Definite Integral. |
4.1- 4.4 |
| 04/01/02 |
Lesson Nine
The Fundamental Theorem of Calculus. Integration by Substitution. Area
Between Curves.
|
4.5, 4.6, 5.1 |
| 04/08/02 |
Lesson Ten
The Natural Logarithm Revisited. Inverse Functions. The Exponential Function
Revisited. |
6.1-6.3 |
| 04/15/02 |
Lesson
Eleven
Growth and Decay Problems. Separable Differential Equations. |
6.4, 6.5 |
| 04/221/02 |
Lesson
Twelve
Review of Formulas and Techniques. Integration by Parts. Trigonometric
Techniques of Integration. Integration of Rational Functions Using Partial
Fractions. |
7.1-7.4 |
| 04/29/02 |
Lesson Thirteen
Integration Tables and Computer Algebra Systems. Indeterminate Forms.
L'Hopital's Rule, Improper Integrals. |
7.5-7.5 |
| 05/06/02 |
Lesson Fourteen
Sequences of Real Numbers. Infinite Series. The Integral and Comparison
Tests. |
8.1-8.3 |
| |
Total number of weeks : 15 |
|
