| Week |
Topics |
Assignments |
|---|---|---|
|
|
Introduction, Appendices A and B Sec. 1.1: Four ways to represent a function Sec. 1.2 Mathematical Models |
Problem Set 1 |
| Feb 2 |
App. C Sec. 1.3: New functions from old functions Sec. 1.5: Exponential functions Sec. 1.6: Inverse functions and logarithms |
Problem Set 2 due Feb 9/10, but check with your TA |
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Early Midterm Exam: Wednesday, February 11, 8:30 - 10:00 pm |
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| Feb 9 |
Sec. 2.1: The tangent and velocity problems Sec. 2.2: The limit of a function App. D: Precise definitions of limits |
Problem Set 3 due Feb 18 or 19: New: No App. D problems |
| Feb 16 |
Sec. 2.3: Calculating limits using the limit laws Sec. 2.4: Continuity Review |
Problem Set 4 due Mon/Tues Feb 23/24 |
|
Midterm Examination I: Tuesday, February 24,
8:30-10:00 pm |
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| Feb 23 |
Sec. 2.5: Limits involving infinity Sec. 2.6: Tangents, velocities, and other rates of change |
Problem Set
5 due Wed/Thurs March 3/4 |
| Mar 1 |
Sec. 2.7: Derivatives Sec. 2.8: The derivative as a function |
Problem Set 6 due Wed/Thurs Mar 10/11 |
| Mar 8 |
Sec. 2.10: What does f' say about f? Sec. 3.1: Derivatives of polynomials and exponentials Sec. 3.2: The product and quotient rules |
Problem Set 7 due Wed/Thurs March 17/18 |
| Mar 15 |
Sec. 3.4: Derivatives of trigonometric functions Sec. 3.5: The chain rule Sec. 3.6: Implicit differentiation |
Problem Set 8 due Tu/Wed Mar 24/25 |
| Mar 22 |
Sec. 3.7: Derivatives of logarithmic functions Sec. 3.8: Linear approximation and differentials Review |
No HW this week, due to exam. Next HW due after break |
|
Midterm Examination II: Monday, March 29,
8:30 -10:00 pm |
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| Mar 29 |
Sec. 4.1: Related rates Sec. 4.2: Maximum and Minimum values |
Problem Set 9 due April 14/15 |
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Monday April 5 - Friday, April 9: Spring Break (no classes)
|
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| Apr x12 |
Sec. 4.2 Maximum and Minimum values Sec. 4.3: Derivatives and the shapes of curves Sec. 4.5: Indeterminate forms and L'Hospital's rule |
Problem Set 10 due Wed/Thurs Apr 21/22 |
| Apr 19 |
Sec. 4.6: Optimization problems Sec. 4.9: Antiderivatives Sec. 5.1: Areas and distances |
Problem Set 11 due Mon/Tues, April 28/29 |
| Apr 26 |
Sec. 5.2: The definite integral Sec. 5.3: Evaluating definite integrals Sec. 5.4: The Fundamental Theorem of Calculus |
Problem Set 12 due Wed/Thurs May 5/6 |
| May 3 |
Review |
|
| Friday, May 7: last class day | ||
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Final Examination: Monday, May 17, 11:00am--1:30 pm |
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