• The homework will be posted here a week or more in advance. You are encouraged to work in groups on the homework, but the final write-up should be your own. 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 there may be be extra credit problems, for those of you wishing to practice more in depth your problem solving skills. 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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- Homework 1: Due Friday, January 23
- • Sec. 5.1: 2, 12
- • Sec. 5.2: 17, 28, 34, 38
- • Sec. 5.3: 6, 7, 12, 20, 36, 38, 46, 60
- • Maple handout #1 --This is useful for computing Riemann sums and definite integrals numerically, and it contains the examples we did in class. The handout is not to be turned in.
- Homework 2: Due Friday, January 30
- • Sec. 5.4: 6, 8, 10, 12
- • Sec. 5.5: 4, 14, 18, 21, 40, 42, 45, 48 (Hint for #48: Use symmetry)
- • Sec. 5.6: 4, 6, 18, 30
- Homework 3: Due Friday, February 6
- • Sec. 5.6: 12, 20, 25
- • Sec. 5.7: 2, 6 (use the half-angle identities on p. 400), 7, 10, 16, 18, 20, 21
- Homework 4: Due Friday, February 13
- • Sec. 5.8: 4, 8, 9, 14
- • Sec. 5.10: 2, 8, 12, 20, 30, 44
- • Review exercises (p. 435): 19, 22, 26, 29, 33
- Homework 5: Due Friday, February 27
- • Sec. 6.1: 2, 4, 12, 15 (for #15, you will need two integrals to compute the area)
- • Sec. 6.2: 2, 4, 10, 11, 12, 22, 53
- • Sec. 6.3: 5, 7
- Homework 6: Due Friday, March 13
- • Sec. 6.4: 2, 6, 10, 13
- • Sec. 6.6: 4
- • Sec. 6.7: 2, 4, 8, 9, 11--for ex. 8, 9 the probability distribution function is discussed in Examples 2 and 3; for ex. 11, the probability distribution function is the normal distribution in Figure 5
- • Review exercises (p. 494): 6, 7
- • Lab 1 handout (not to be turned in)
- Homework 7: Due Friday, March 20
- • Sec. 7.1: 1, 10, 12
- • Sec. 7.2: 3, 4, 5, 6, 8, 12 (for #12, use the direction field applet from the link below; you can copy by hand the output graph in your homework)
- • Sec. 7.3: 2, 12, 15, 24
- • To plot direction fields, use the applet DFIELD that I used in class. Enter the equation in the "DFIELD equation window" and then click on "Graph phase plane". Notes: the multiplication sign is *; make sure to change the independent variable to whatever variable the function y depends on; you can also change the range for y and x; to plot the solution with a given initial condition, click in the direction field window at the point corresponding to the initial condition.
- Homework 8: Due Friday, April 3rd
- • Sec. 7.4: 10, 14
- • Sec. 7.5: 2 a,b,c,e,f, 3, 11 a,b,c,d (You can use the solution to the logistic equation given by formula 4 on p. 539)
- • Sec. 8.1: 6, 10, 13, 14, 26
- Homework 9: Due Wednesday, April 8
- • Sec. 8.2: 6, 12, 20, 32, 34
- • Sec. 8.3: 8, 14, 15, 20
- Homework 10: Due Friday, April 17
- • Sec. 8.4: 2, 12, 14, 18, 20, 22, 24 (for 20, 22 and 24 you only need to determine whether the series are convergent, not absolutely convergent)
- • Sec. 8.5: 6, 8, 14
- Homework 11: Not to be turned in. You can grade yourself on this homework using the solutions available on Moodle (login required).
- • Sec. 8.6: 7, 8, 24, 26 (for #26: you can use the power series for ln(1+x) that we found in class)
- • Sec. 8.7: 21, 36, 37, 41
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