|
MAT 125 Calculus A Fall 2009 |
| Julia Viro |
| Generalities | Instructor | Schedule | Assignments | Exams | SOLAR | Blackboard |
|---|
| Week of | Contents | Sections |
|---|---|---|
| 8/31-9/4 | Functions and their graphs. Even and odd functions, increasing and decreasing functions. Operations on functions: sum, difference, product, quotient, composition. | 1.1, 1.2, 1.3, Appendix C |
| 9/7-9/11 | Basic elementary functions: polynomials, rational, power, trigonometric and exponential functions. Inverse functions. Logarithms. Inverse trigonometric functions: arcsine, arccosine, arctangent. | 1.2, 1.5, 1.6, 3.6 |
| 9/14-9/18 | The limit of a function. Limit laws. | 2.1, 2.2, 2.3 |
| 9/21-9/25 | Continuity. Squeeze theorem. Limits involving infinity. Calculating technique for limits. | 2.4, 2.5 |
| 9/28-10/2 9/29 correction day (Monday schedule) |
The derivative and its geometrical meaning. Tangent line. Derivative as velocity. | 2.6, 2.7, 2.8, |
| 10/5-10/9 | Rates of change in the real world. Linear approximation. Derivatives of higher orders. | 3.8, 3.9 |
| 10/12-10/16 | Review for Midterm 1. Midterm 1 is on Thursday 10/15 in class | 1.2-1.6, 2.1-2.8, 3.9 |
| 10/19-10/23 | Derivatives of polynomials and exponential functions. Product and quotient rules. Derivatives of trigonometric functions. | 3.1, 3.2, 3.3 |
| 10/26-10/30 | Chain rule. Implicit differentiation. Derivatives of logarithmic and inverse trigonometric functions. | 3.4, 3.5, 3.6, 3.7 |
| 11/2-11/6 | Newton's method. | 4.7 |
| 11/9-11/13 | Review for Midterm 2, Midterm 2 is on Thursday 11/12 in class | 3.1-3.7 |
| 11/16-11/20 | Maximum and minimum values. Graphing. | 4.2, 4.3 |
| 11/23-11/24 11/25-11/29 Thanksgiving break |
Related rates. | 4.1, 4.7 |
| 11/30-12/4 | Indeterminate forms and L'Hopital's rule. Optimization. | 4.5, 4.6 |
| 12/7-12/11 | Review for Final. | |
| ?day 12/? 8:00-10:30am |
Final exam |