• The homework will be posted a week or more in advance. The homework for Week 1 is due on the Friday of Week 2 in class etc. You are encouraged to work in groups on the homework, but the final write-up should be your own. The problems in purple do not have to be turned in for a grade, but you are responsible for doing and understanding all the problems. NO late assignments will be accepted without a serious documented reason. Should this happen, you need to contact me before the homework is due.
Please follow these guidelines when writing up your homework papers:
- On the first page write your name, the assignment details, and your section number.
- Write neatly. It is your responsibility to make sure the grader can read your work.
- Remove any frayed edges and staple or clip multi-page assignments together.
- Show your work. Correct answers without any explanation will not receive full credit.
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| • Occasionally the homework will contain extra-credit problems.
They will be more challenging (and more fun!), and your grade on these problems
will not be taken into consideration when determining the final grade. It may however be taken into consideration in the rare eventuality that you are close to the borderline between two grades, when it may improve your grade.
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| • Another resource that you are encouraged to use is the CD that you can find at the back of your textbook, entitled Tools for enriching calculus. It contains hints to the exercises marked in red in the textbook, so if you get stuck on one of those you can use the CD to help you get started.
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- Week 1 (9/3, 9/5): Course introduction, Chapter 1 review
- • Sec. 1.1: 18, 23, 25
- • Sec. 1.2: 3, 4, 6, 7
- • Sec. 1.3: 3, 6-7, 12 (complete the square first for #12), 28
- • Sec. 1.4: 5, 33 (this last problem exposes the limits of the "letting the calculator do the thinking"-approach)
- • Sec. 1.5: 4, 7, 9, 15, 23
- • Sec. 1.6: 3, 5, 7, 9, 11, 13, 21, 25, 33 (do not use a calculator), 37, 43, 51, 58
- Week 2 (9/8-9/10, 9/12): Parametric curves, Limits, Continuity
- First computer lab: On Friday, September 12, we meet in Haberlin 408. Please give a look to this introduction to Maple before the lab to get a first exposure to the way Maple operates. The lab assignment is due on Wednesday, September 17, in class.
- • Sec. 1.7: 7, 10, 11, 16, 20, 24, 31, 34
- • Sec. 2.1: 6
- • Sec. 2.2: 4, 6, 18, 23
- • Sec. 2.3: 2, 6, 32, 34, 44
- • Sec. 2.4: 4, 6, 18, 16, 30, 33, 42, 44
- Week 3 (9/15-9/17, 9/19): Limits involving infinity
- Due to the midterm next week, this week's short homework is due on Tuesday, September 23
- • Sec. 2.4: 38, 40
- • Sec. 2.5: 2, 4, 5, 8, 16, 19, 25, 26(Hint: See example 6), 32, 46
- Week 4 (9/22-9/24, 9/26):Tangents, velocity, derivatives
- Practice problems for the midterm can be found on the Exams page.
- Due Friday, October 3. Use only the limit definition of the derivative for the homework from Sections 2.6-2.9.
- • Sec. 2.6: 6 a), b), 9, 20
- • Sec. 2.7: 15, 18, 31
- • Sec. 2.8: 4, 8, 37
- • Sec. 2.9: 15, 16, 26
- • Sec. 3.1: 16, 20, 26, 28, 42 a), b), 44, 46 64, 65
- • Sec. 3.2: 12, 17, 18, 22, 24 a), 39, 42
- Week 5 (9/29-10/1, 10/3): Computing derivatives, implicit differentiation, linear approximations
- • For those problems requiring graphing, you can use this online graphing calculator (click on GCalc2 to start it).
- • Extra credit homework--due Friday, October 17 in class. If you turn in the extra credit homework, please write it up separately from the regular homework. The regular homework is due on Friday October 10.
- • Sec. 3.3: 2, 28 (read example 8 first)
- • Sec. 3.4: 7, 8, 18, 30, 31
- • Sec. 3.5: 7, 19, 21, 35, 51
- • Sec. 3.6: 3, 7, 18, 20, 31, 32
- • Sec. 3.7: 5, 9, 16, 23
- • Sec. 3.8: 6, 10, 15
- Weeks 6+7 (10/6-10/8, 10/10, 10/15, 10/17): Related rates, maximum and minimum problems, optimization, graphing using derivatives, l'Hospital's rule
- • Due Tuesday, October 21. The lab reports are due Friday, October 17.
- • Sec. 4.1: 11, 14, 16
- • Sec. 4.2: 6, 38, 43
- • Sec. 4.6: 12, 16, 38, 40
- • Sec. 4.3: 5, 13, 19, 31, 32, 48
- • Sec. 4.5: 2, 9, 17, 20, 30
- Week 8+9 (10/20-10/22, 10/24, 10/29, 10/31): Areas, distances, definite integrals, fundamental theorem of calculus, techniques of integration
- • Due Friday, November 7.. For this problems set you can take for granted the table of indefinite integrals on p. 369.
- • Sec. 5.1: 4, 11
- • Sec. 5.2: 2, 18, 34 (see example 4)
- • Sec. 5.3: 12, 20, 23, 29
- • Sec. 5.5: 12, 16, 32, 34, 57, 62
- • Sec. 5.6: 23, 28 (Hint: Use a substitution u=√x first), 38, 40
- • Sec. 5.7: 2, 8, 11, 12, 16, 18
- Week 10 (11/3-11/5, 11/7): Applications of integration
- • Due Friday, November 14
- • Sec. 6.1: 2, 4, 12
- • Sec. 6.2: 2, 8, 10, 26 (Hint: Draw a vertical section of the cone frustum, and use similar triangles.)
- • Sec. 6.3: 7, 14 (Hint: Notice that both t=-√3 and t=√3 give the same values for x and y. In the arc length integral, complete the square under the square root.)
- • Sec. 6.4: 2, 3, 14
- • Sec. 6.5: 9, 10, 15, 16
- Week 11 (11/10-11/12, 11/14): Series: convergence, the integral test, absolute convergence, alternating series, the ratio test.
- • Because of the midterm on November 21, the homework is due Tuesday, November 25.
- • Sec. 8.2: 2, 9, 12, 16, 17, 20, 32
- • Sec. 8.3 (we cover only the integral test, up to page 579): 14, 15
- • Sec. 8.4: 4 (write the general term of the series first), 5, 13, 20, 24, 25
- Week 12+13+14 (11/17-11/19, 11/24, 11/25, 12/1-12/3): Power series, Taylor series
- • Due Monday, December 8.
- • Series review--a summary of what you need to know about series.
- • Sec. 8.5: 8, 12, 14, 20, 23 a), b)
- • Sec. 8.6: 4, 8, 14, 18, 24 (the power series for arctan(x) is given in Example 7)
- • Sec. 8.7: 2, 5, 20, 24, 34, 37, 42, 44
- • Sec. 8.9: 15 a), b)
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