Schedule
Here is the tentative course schedule; there may be small changes as the semester progresses.
Week 1 (May 20th)
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- Appendix A: Numbers, Inequalities and Absolute Values
- Supplementary Problems: 1-5 odd, 13-33 odd, 59-71 odd
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- Appendix B: Coordinate Geometry and Lines
- Supplementary Problems: 1-9 odd, 21-27 odd
- 05/20 Note
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- Appendix D: Trigonometry
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- Section 1.1: Four Ways to Represent a Function
- Supplementary Problems: 3-4, 15-18, 39-46 odd, 49-52 odd, 65-70 odd.
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- Section 1.3: New functions from Old Functions
- Supplementary Problems: 1-5 odd, 9-19 odd, 31-39 odd, 43-47 odd
- 05/21 Note
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- Section 1.4: Exponential Functions
- Supplementary Problems: 1-4, 11-15 odd
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- Section 1.5: inverse Functions and Logarithms
- Supplementary Problems: 5-11 odd, 15, 21-25, 35-40, 51-55, 63-58
- 05/22 Note
- 05/22 Lecture Video
Week 2 (May 27th)
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Memorial Day(no class): Monday, 5/27
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- Section 2.2: The Limit of a Function
- Supplementary Problems: 5-9 odd, 15
- 05/23 Note
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- Section 2.3: Calculating Limits Using the Limit Laws
- Supplementary Problems: 1-5 odd, 11-31 odd, 33c, 35, 37, 41, 49
- 05/28 Note
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- Section 2.5: Continuity
- Supplementary Problems: 1,3,11-25 odd, 35-38, 41, 45,47,51-55 odd
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- Section 2.6: Limits at Infinity; Horizontal Asymptotes
- Supplementary Problems: 3,15-39 odd, 47, 49, 65a
- 05/29 Note
- FIRST MIDTERM: Thursday 05/30
Week 3 (June 3rd)
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- Section 2.7: Derivatives and Rates of Change
- Supplementary Problems: 3ab, 5, 7, 9ab, 11-17 odd, 31-43 odd
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- Section 2.8: The Derivative of a Function
- Supplementary Problems: 1-5 odd, 21-29 odd, 41, 43, 49, 51
- 06/03 Note
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- Section 3.1: Derivatives of Polynomials and Exponential Functions
- Supplementary Problems: 3-23 odd, 33, 35, 45, 49, 55
- 06/04 Note
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- Section 3.2: The Product and Quotient Rules
- Supplementary Problems: 1-31 odd, 41-47 odd, 51
- 06/05 Note
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[06/05 Lecture Video]
Week 4 (June 10th)
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- Section 3.3: Derivatives of the Trigonometric Functions
- Supplementary Problems: 1-15 odd, 21, 23, 31, 33
- 06/06 Note
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- Section 3.4: The Chain Rule
- Supplementary Problems: 1-47 odd, 51, 53, 61, 63, 69, 71, 77, 79
- 06/10 Note
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- Section 3.5: Implicit Differentiation
- Supplementary Problems: 5-21 odd, 25-31 odd, 35, 49-59 odd
- 06/11 Note
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- Section 3.6: Derivatives of Logarithmic and inverse trigonometric Functions
- Supplementary Problems: 3-23 odd, 27-33 odd, 39-51 odd
- 06/12 Note
- SECOND MIDTERM: Thursday 06/13
WEEK 5 (June 17th)
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- Section 3.7, 3.9: Velocity, Acceleration and Related Rates
- Supplementary Problems: 1-4 (3.7) 1-7 odd (3.9)
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- Section 3.10: Linear Approximations
- Supplementary Problems: 1-7 odd, 13-33 odd
- 06/17 Note
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Juneteeth(no class): Wednesday, 6/19
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- Section 4.1: Maximum and Minimum Values
- Supplementary Problems: 3, 5, 15-27 odd, 29-39 odd, 47-61 odd, 67b
- 06/18 Note
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- Section 4.2: The Mean Value Theorem
- Supplementary Problems: 1, 5, 11-21 od
WEEK 6 (June 24th)
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- Section 4.3: How Derivatives Affect the Shape of a Graph
- Supplementary Problems: 1,5-17 odd, 35-47 odd, 49-53 odd, 57
- 06/20 Note
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- Section 4.4: Indeterminate Forms and L’Hospital’s Rule
- Supplementary Problems: 9-67 odd
- 06/24 Note
- 06/25 Note
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Exercises and Review
- FINAL EXAM: Thursday 06/27