Daily Schedule
| Lec | Day | Sec | Topic |
|---|
| #1 |
Mon 9/10 |
1.1 |
Modeling discrete data: introduction.
Method of least squares.
|
| #2 |
Wed 9/12 |
1.2, 1.3, 1.4 |
Lines in the Plane.
Functions and their graphs.
New functions from old.
|
| #3 |
Fri 9/14 |
1.5 |
Trigonometric functions. |
| #4 |
Mon 9/17 |
1.6 |
Exponential and logarithmic functions.
Math3-to-Math1 Quiz: 3:30 - 4:15 today.
Room to be assigned.
On the basis of this quiz, we will advise you whether or not to change to M1. Last opportunity to switch this term is Wed. 9/19.
|
| #5 |
Wed 9/19 |
2.1 |
Modeling rates of change: introduction.
|
| #6 |
Fri 9/21 |
2.2, 2.3, 2.4 |
The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.
|
| #7 |
Mon 9/24 |
2.5, 2.6 |
Continuity.
Tangent lines and their slopes.
|
| #8 |
Wed 9/26 |
2.6, 2.7 |
Tangent lines and their slopes. (contd.)
The derivative.
|
| #9 |
Fri 9/28 |
2.8 |
Differentiation rules.
|
| #10 |
Mon 10/1 |
2.9 |
Derivatives of trigonometric functions.
|
| #11 |
Wed 10/3 |
2.10, 2.11 |
The mean value theorem.
Intervals of Increase/Decrease
Implicit differentiation.
|
| #12 |
Fri 10/5 |
2.12 |
Derivatives of exponentials and logs.
|
| #13 |
Mon 10/8 |
2.13, 2.14 |
Newton's method.
Linear approximations.
|
| #14 |
Wed 10/10 |
2.15, 2.16 |
Antiderivatives and initial value problems.
Velocity and acceleration.
Hour Exam 1: 3:30 - 4:45
Rooms to be assigned.
Exam covers day01 through day12 (Friday 10/5).
|
| #15 |
Fri 10/12 |
2.17 |
Related Rates.
|
| #16 |
Mon 10/15 |
3.1 |
Modeling with differential equations: introduction.
Separable differential equations: first look.
|
| #17 |
Wed 10/17 |
3.2, 3.3 |
Exponential growth and decay.
Separable differential equations.
|
| #18 |
Fri 10/19 |
3.4 |
Slope fields and Euler's method.
Do not use euler applet for the homework. Use the Euler Spreadsheet.
|
| #19 |
Mon 10/22 |
3.5 |
Issues in curve sketching.
|
| #20 |
Wed 10/24 |
3.6 |
Optimization.
Final day to withdraw from a course without petition. |
| #21 |
Fri 10/26 |
4.1 |
Modeling accumulations: introduction.
|
| #22 |
Mon 10/29 |
4.2, 4.3 |
The definite integral.
Properties of the definite integral.
|
| #23 |
Wed 10/31 |
4.4, 4.5 |
The fundamental theorem of calculus.
Techniques of integration (omit integration by parts).
Hour Exam 2: 3:30 - 4:45
Rooms to be assigned.
Exam covers day13 through day20 (Wed 10/24).
|
| #24 |
Fri 11/2 |
4.6 |
Trapezoid rule and Simpson's Rule.
|
| #25 |
Mon 11/5 |
4.7 |
Areas between curves.
|
| #26 |
Wed 11/7 |
4.9 |
Arc length. |
| #27 |
Fri 11/9 |
4.10 |
Inverse trigonometric functions
|
| #28 |
Mon 11/12 |
- |
Last day of course. Review of course. See Exam Study materials.
Course evaluations.
|
| -- |
Fri 11/16 |
- |
Final Exam 11:30am,
Hopkins Spaulding.
|
