MATH 3
COURSE INFORMATION
Daily Schedule
STUDY GUIDE
RESOURCES
COD
KLDBOOKSITE
WEBWORK LOGIN
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Textbook manuscript: Principles of Calculus Modeling: An Interactive Approach by Donald Kreider, Dwight Lahr, and Susan Diesel.
COD Web Site: The Calculus on Demand (COD) web site contains the lecture-page(s) for the course. Each day below is linked (Lec column) to these pages, and also to the textbook section-pages (Sec column).
Math 3 homework: There are WeBWorK homework problems corresponding to each class. The assignments and their due-dates can be found by clicking "WeBWorK login" on the sidebar, or by accessing WeBWorK from the COD pages.
Math 3 final exam: The final is scheduled by the Registrar to take place sometime between Saturday, December 5 and Wednesday, December 9. Everyone must be there. We will let you know as soon as the exact date, time, and room number are announced.
Daily Schedule
| Lec | Day | Sec | Topic |
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| #1 |
Wed 9/23 |
1.1 |
Modeling discrete data: introduction.
Method of least squares.
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| #2 |
Fri 9/25 |
1.2, 1.3, 1.4 |
Lines in the Plane.
Functions and their graphs.
New functions from old.
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| #3 |
Mon 9/28 |
1.5 |
Trigonometric functions. |
| #4 |
Wed 9/30 |
1.6 |
Exponential and logarithmic functions.
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| #5 |
Fri 10/2 |
2.1 |
Modeling rates of change: introduction.
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| #6 |
Mon 10/5 |
2.2, 2.3, 2.4 |
The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.
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| #7 |
Wed 10/7 |
2.5, 2.6 |
Continuity.
Tangent lines and their slopes.
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| #8 |
Fri 10/9 |
2.6, 2.7 |
Tangent lines and their slopes. (contd.)
The derivative.
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| #9 |
Mon 10/12 |
2.8 |
Differentiation rules.
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| #10 |
Wed 10/14 |
2.9 |
Derivatives of trigonometric functions.
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| #11 |
Fri 10/16 |
2.10, 2.11 |
The mean value theorem.
Implicit differentiation.
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| #12 |
Mon 10/19 |
2.12 |
Derivatives of exponentials and logs.
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| #13 |
Wed 10/21 |
2.13, 2.14 |
Newton's method.
Linear approximations.
Hour Exam 1: 3:30 - 4:45
Rooms to be assigned.
Exam covers day01 through day10 (Wednesday 10/14).
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| #14 |
Fri 10/23 |
2.15, 2.16 |
Antiderivatives and initial value problems.
Velocity and acceleration.
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| #15 |
Mon 10/26 |
2.17 |
Related Rates.
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| #16 |
Wed 10/28 |
3.1 |
Modeling with differential equations: introduction.
Separable differential equations: first look.
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| #17 |
Fri 10/30 |
3.2, 3.3 |
Exponential growth and decay.
Separable differential equations.
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| #18 |
Mon 11/2 |
3.4, 3.7 |
Slope fields and Euler's method.
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| #19 |
Wed 11/4 |
3.5 |
Issues in curve sketching.
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| #20 |
Fri 11/6 |
3.6 |
Optimization. |
| #21 |
Mon 11/9 |
4.1 |
Modeling accumulations: introduction.
Hour Exam 2: 3:30 - 4:45
Rooms to be assigned.
Exam covers day11 through day19 (Wednesday 11/4).
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| #22 |
Wed 11/11 |
4.2, 4.3 |
The definite integral.
Properties of the definite integral.
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| #23 |
Fri 11/13 |
4.4, 4.5 |
The fundamental theorem of calculus.
Techniques of integration (omit integration by parts).
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| #24 |
Mon 11/16 |
4.6 |
Trapezoid rule and Simpson's Rule.
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| #25 |
Wed 11/18 |
4.7 |
Areas between curves.
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| #26 |
Fri 11/20 |
4.9 |
Arc length. |
| #27 |
Mon 11/23 |
4.10 |
Inverse trigonometric functions
No classes Wednesday 11/25 and Friday 11/27.
Have a happy Thanksgiving! See you Mon 11/30.
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| #28 |
Mon 11/30 |
- |
Review of course. See Exam Study materials.
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| #29 |
Wed 12/2 |
- |
Review of course. See Exam Study materials.
Course evaluations.
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Mon 12/7 |
- |
Final Exam-11:30am
Hopkins Center, Spaulding.
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