Math 111: Introduction to the Calculus (Fall 2017)
This course concerns the two central idea of calculus: the derivative and the integral.
Office hours
- My office hours in SMUD 510: T 2:00-3:30, W 1:30-3:00, F 1:30-2:30.
- Q Center drop-in hours in Merrill 202: Su 7-9 (Allison Randy-Cofie), T 7-9 (Sean Garcia), W 8-10 (Allison Randy-Cofie), and M-F 11am-3pm (Tim St. Onge).
Homework
Problem sets will be posted here. All problem sets will be submitted online via Gradescope. If I say that a problem set is on the “Wednesday night,” this means that the hard deadline is 2am on the following Thursday morning.
All problem numbers are from Stewart, 7th edition. __ Problems marked “self-check” are not to be handed in.__ I’ve included them as suggestions for additional practice; usually they are odd-numbered and you can check your answer in the back of the book. I will sometimes put self-check problems on exams, so that some problems will already be familiar.
- Course survey and Gradescope instructions. Use this to practice submitting on the Gradescope system.
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Problem Set 1 (due Wednesday night 9/13).
- Appendix B: 20, 24, 62 [Self-check: 21, 45]
- §1.1: 4, 14, 24, 32, 48, 63, 66 [Self-check: 3, 23, 31, 55]
- §1.3: 4, 6, 14, 18 [Self-check: 1, 7, 9, 23]
- Also from §1.3: 50,60 [Self-check: 51, 59]
- §1.4: 2, 6 [Self-check: 1, 3]
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Problem Set 2 (due Wednesday night 9/20).
- §1.5: 4, 10, 12, 16 [Self-check: 5, 7, 11, 17]
- §1.6: 12, 22, 32, 49, 60, 62 [Self-check: 11, 23, 31, 47, 61]
- §1.8: 4, 18, 22, 24, 42, 44 [Self-check: 17, 19, 41]
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Problem Set 3 (due Wednesday night 10/4). This is not due until after the exam, and will be somewhat longer than usual as a result.
- §2.1: 6, 8, 10, 14, 48 [Self-check: 5, 7, 17, 19]
- §2.2: 4, 6, 22, 26, 42 [Self-check: 1, 7, 25, 27, 41]
- Midterm 1 material ends here
- §2.3: 6, 12, 14, 32, 62, 72 [Self-check: 5, 29, 41, 51, 69, 91]
- §2.4: 2, 12, 22, 32, 50 [Self-check: 13, 35]
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Problem Set 4 (due Wednesday night 10/11)
- §2.5: 10, 12, 24, 34, 52, 64, 67 [Self-check: 21, 31, 51, 63]
- §2.6: 8, 12, 16, 30 [Self-check: 7, 19, 31, 59]
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Problem Set 5 (due Wednesday night 10/18)
- §2.8: 8, 12, 20, 24, 38, 40 [Self-check: 5, 13, 21, 35]
- §2.9: 2, 24, 26, 28, 42(a) [Self-check: 7, 23, 25]
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Problem Set 6 (due Wednesday night 11/1). Not due until after the exam, but problems on material covered by Friday 10/20 relate to exam content.
- §2.7: 8, 18, 30, 32 [Self-check: 9, 29]
- §3.1: 34, 48, 52, 54, 64 [Self-check: 7, 9, 37, 51]
- Midterm 2 material ends here.
- §3.3: 6, 8, 10, 14, 16, 34, 52 [Self-check: 5, 11, 13]
- §3.4: 4, 12, 18, 20, 28, 46 [Self-check: 9, 45]
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Problem Set 7 (due Wednesday night 11/8).
- §3.5: 6, 18, 28, 40 [Self-check: 5, 21]
- §3.7: 20, 44, 62, 75(a) [Self-check: 9, 37, 61]
- §3.9: 14, 30, 40, 44, 46 [Self-check: 7, 29, 31]
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Problem Set 8 (due Wednesday night 11/29). This will not be due until after the exam, and will be somewhat longer as a result.
- §4.1: 2, 4, 14, 16 [Self-check: 17]
- §4.2: 8, 18, 40, 50 [Self-check: 29, 37]
- Midterm 3 material ends here
- §4.3: 20, 24, 28, 34, 38, 48 [Self-check: 23, 31]
- §4.4: 6, 14, 48 [Self-check: 11, 51]
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Problem Set 9 (due Wednesday night 12/6).
- §4.5: 4, 20, 36, 42, 48, 76 [Self-check: 37, 49, 81]
- §6.2*: (make sure you are in 6.2* (blue pages), not 6.2) 8, 22, 28, 66, 72 [Self-check: 27, 67, 87]
- §6.1: 8, 20, 32 [Self-check: 9, 21]
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Problem Set 10 (due Wednesday night 12/13).
- §6.3*: (make sure you’re in 6.3*, not 6.3) 4, 20, 36, 44, 84, 90, 100 (use a calculator/computer for the arithmetic in #100) [Self-check: 3, 17, 47, 87]
- §6.4*: (make sure you’re in 6.4*, not 6.4) 26, 36, 46, 48 [Self-check: 27, 45]
- §5.1: 2, 4, 14, 18, 28 [Self-check: 7, 15]
Exams
Exams and solutions will be posted here after they are given.
Handouts and other items
- T 9/12: Limits from graphs worksheet
- F 9/15: Limit law summary and practice problems (Solutions)
- F 9/22: Sketching a derivative (see these notes for a solution).
- M 9/25: Sketching a function from its derivative (see these notes for a solution).
- W 10/4: Chain rule examples (Solutions).
- F 10/13: Related Rates examples (Solutions)
- T 10/31: Curve sketching examples
- M 11/13: Optimization examples