Daily Schedule
| Lec | Day | Sec | Topic |
| #1 |
Wed 9/24 |
1.1 |
Modeling discrete data: introduction.
Method of least squares.
|
| #2 |
Fri 9/26 |
1.2, 1.3, 1.4 |
Lines in the Plane.
Functions and their graphs.
New functions from old.
|
| #3> |
Mon 9/29 |
1.5 |
Trigonometric functions. |
| #4 |
Wed 10/1 |
1.6 |
Exponential and logarithmic functions.
|
| #5 |
Fri 10/3 |
1.7 |
Case Study: Modeling the AIDS data.
|
| #6 |
Mon 10/6 |
2.1 |
Modeling rates of change: introduction.
|
| #7 |
Wed 10/8 |
2.2, 2.3, 2.4> |
The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.
|
| #8 |
Fri 10/10 |
2.5, 2.6 |
Continuity.
Tangent lines and their slopes.
|
| #9 |
Mon 10/13 |
2.6, 2.7 |
Tangent lines and their slopes. (contd.)
The derivative.
|
| #10 |
Wed 10/15 |
2.8 |
Differentiation rules.
|
| #11 |
Fri 10/17 |
2.9 |
Derivatives of trigonometric functions.
|
| #12 |
Mon 10/20 |
2.10, 2.11 |
The mean value theorem.
Implicit differentiation.
|
| #13 |
Wed 10/22 |
2.12 |
Derivatives of exponentials and logs.
Hour Exam 1: 3:30 - 4:45
Rooms to be assigned in Kemeny
|
| #14 |
Fri 10/24 |
2.13, 2.14 |
Newton's method.
Linear approximations.
|
| #15 |
Mon 10/27 |
2.15, 2.16 |
Antiderivatives and initial value problems.
Velocity and acceleration.
|
| #16 |
Wed 10/29 |
2.18 |
Case Study: Torricelli's Law.
|
| #17 |
Fri 10/31 |
3.1 |
Modeling with differential equations: introduction.
Separable differential equations: first look.
|
| #18 |
Mon 11/3 |
3.2, 3.3 |
Exponential growth and decay.
Separable differential equations.
|
| #19 |
Wed 11/5 |
3.4, 3.7 |
Slope fields and Euler's method.
Case Study: Population Modeling.
|
| #20 |
Fri 11/7 |
3.5 |
Issues in curve sketching.
|
| #21 |
Mon 11/10 |
4.1 |
Modeling accumulations: introduction.
Hour Exam 2: 3:30 - 4:45
Rooms to be assigned in Kemeny
|
| #22 |
Wed 11/12 |
4.2, 4.3 |
The definite integral.
Properties of the definite integral.
|
| #23 |
Fri 11/14 |
4.4, 4.5 |
The fundamental theorem of calculus.
Techniques of integration (omit integration by parts).
|
| #24 |
Mon 11/17 |
4.6, 4.7 |
Trapezoid rule.
Areas between curves.
|
| #25 |
Wed 11/19 |
4.9 |
Arc length. |
| #26 |
Fri 11/21 |
4.11 |
Case Study: Flood Watch. |
| #27 |
Mon 11/24 |
4.10 |
Inverse trigonometric functions
No classes Wednesday 11/26 and Friday 11/28.
Have a happy Thanksgiving! See you Mon 12/1.
|
| #28 |
Mon 12/1 |
- |
Review of course. See materials.
|
| #29 |
Wed 12/3 |
- |
Review of course. See materials.
Course evaluations.
|