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Homework

Calculus 2 - Mathematics 120 - Spring 2007


HW #

Do by Turn In Read Do
      Online Calculus Tutorials (I haven't checked any of it for correctness or accuracy):
Visual Calculus (Univ. of Tennessee, Knoxville)
 

Final Exam

R 5/10
8:30 - 11:30AM
-- Start reviewing two weeks before exam. The exam will be cumulative, but with emphasis on HWs 25-30, and the Review problems appearing below.

Chapt 10 Review (p. 714): 1-5, 9, 11, 15-23, 29. Solutions.
Chapt 9 Review (p. 622): 4, 11, 12, 15, 16. Solutions.
Chapt 8 Reivew (p. 580): 3, 5-7, 11, 12, 47, 49-52, 73. Solutions.
Chapt 7 Review (p. 507): 3, 6abcfh, 7, 8, 11, 12a, 14, 20. Solutions.
Chapt 6 Review (p. 437): 26, 33, 34, 36, 37, 42a, 54, 83, 89. Solutions.
 

30

F 4/27 W 5/2   Chapt 10 Review Exercises (p. 714): 16, 18, 22, 25, 27, 28.

Lab Test

T 4/24 -- The test will be very similar to this sample test, except that you will be tested on Excel only, not Mathematica (so you can ignore Question 4).  

29

W 4/25 W 4/25 10.7 up to "nth Remainder". Sec 10.7: 3, 5, 6, 11, 21, 25, 26, 34, 35.

28

M 4/23 W 4/25 Sec 10.6: Absolute Convergence and Conditional Convergence Sec 10.6: 12, 17-19, 22, 25, 26, 47, 48, 53, 55a.

 

    Just for fun: Trigonometry on Fingers  

27

F 4/20 W 4/25 Sec 10.6 up to Absolute Convergence. Sec 10.6: 1, 2, 3, 6, 31, 33, 35, 39.
Sec 10.5: 49, 51, 52.

Midterm 3

Mid3 Solutions

W 4/18  -- The midterm will cover HWs 16-24.  

26

M 4/16 F 4/20 Sec 10.5: Ratio Test and Root Test. Sec 10.5: 13, 15, 19, 28-33, 35, 37, 41, 43, 45.

25

F 4/13 F 4/20 Sec 10.5 up to Ratio Test. Sec 10.5: 1, 2a, 3, 4b, 5, 7, 9.

24

M 4/9
W 4/11
W 4/11 Sec 10.4: p-series. You need to learn this topic ON YOUR OWN: we will not cover it in class but you do need to know it. Sec 10.4: 25, 26, 40a-d.
For problem 40: use Mathematica to find the desired antiderivative in part (b); use a spreadsheet for part (c); after finishing part (d), use Mathematica to evaluate the infinite series and compare it to your answer in part (d).
Also do: 28, 29, 30, 38

23

F 4/6 W 4/11 Sec 10.4 up to p-series. Sec 10.4: 1b, 5, 7, 12, 15-23(odds).

22

W 4/4 W 4/4
F 4/6
Sec 10.3: Telescoping Sums and Harmonic Series. Sec 10.3: 7, 9, 11, 15, 17, 19, 21, 25a, 28, 29, 34.

21

M 4/2 W 4/4 Sec 10.3, up to Telescoping Sums. Sec 10.3: 1, 3, 5, 22-24, 26, 27;
also do 38ab, in lab, using Mathematica.

20

F 3/30 W 4/4 Sec 10.1 p. 624-630. Sec 10.1: 1, 4, 5, 7, 8, 11, 13, 16, 18, 19, 21, 29, 32, 34.

19

M 3/26 W 3/28 Sec 9.1 p. 582-583, top of 584 (Example 1), and First Order Separable Equations (586-588). Sec 9.1: 1, 3, 5, 17, 19, 21, 25, 27, 29, 39, 40.

18

F 3/23 W 3/28 Sec 6.6 p. 403-405. Sec 6.6: 33, 57, 60-64.
Problems 33 and 62 should be done using Mathematica (or Derive) in lab on Tuesday 3/27.

Midterm 2

Mid 2 Solutions

W 3/21   -- The midterm will cover HWs 8-15.  

17

W 3/21
F 3/23
W 3/21
F 3/23
Review your class notes on "Improper integrals via comparison." Sec 8.8: 46, 47, 48, 50, 52, 62.
Also do the following Extra Problem:
(a) Find limit of x^x as x --> 0+.
(b) Find (x^x)'.  Hint: use the same trick as in part (a): x^x = e^ln(x^x).

16

M 3/19 W 3/21 Sec 8.8 (except the subsection on Arc Length and Surface Area ...). Sec 8.8: 19, 21, 23, 25, 27, 33, 41, 42, 63.

15

W 3/7
F 3/9
W 3/7
F 3/9
Read all of Sec 4.4.
Practice: Arithmetic with large and small numbers
Sec 4.4: 9, 15, 17, 21, 23, 25, 35, 39, 40, 49, 50, 51.

14

M 3/5 W 3/7 Sec 8.8 p. 569-572. Sec 8.8: 3, 7, 9, 11, 13, 15.

13

W 2/28 W 2/28
W 3/7
Sec 8.6: p. 545: just the top two paragraphs on Integral Tables; p. 550-552: Integrating with Computer Algebra Systems.
Sec 8.7: p. 556-562 (may skip Error Bounds).
Sec 8.7: 1, 6, 19, 21, 22, 27, 28, 30, 37, 39, 47a.

12

M 2/26 W 2/28 Sec 8.2 (may skip "A Tabular Method ..." ; skim "Reduction Formulas". Sec 8.2: 1, 7, 15-27(odds), 33, 48.

11

F 2/23 W 2/28 Sec 7.6. Sec 7.6: 1, 14, 15, 17-20, 23, 29, 32.

10

W 2/21 W 2/21 Sec 7.4 (may skip Arclength of Parametric Curves). Sec 7.4: 1, 3, 4, 7, 19.
Sec 6.4: 49, 50.
Sec 6.6: 71.
For problem 19, do part d with n=10 and n=100 using a spreadsheet; for part g, use Mathematica: here's a tutorial.

9

F 2/16 W 2/21 Sec 7.2. Sec 7.2: 1, 2, 3, 5, 7, 25, 26, 28, 29, 34, 35.

Midterm 1

Mid1 Solutions

W 2/14   You should start reviewing at least a week before the test (it's a bad idea to try to review math just a couple of days before the test). The test will cover HWs 1-7 (sections of Chapter 6 covered in class). Review by looking at all HW problems we've had and redoing the ones you feel you need to. Do but don't turn in:
Chapt 6 review (page 437): 10, 11a, 13, 17-19, 26, 33-37, 54, 55, 74, 83, 89.
(These problems are not representative of all types of HW problems we've had so far. But they make a good sample for the purpose of reviewing most of the main topics.)

8

F 2/9 W 2/14 Sec 7.1. Sec 7.1: 1, 3, 5-7, 9, 15, 17, 41, 42.

7

W 2/7 W 2/7 Sec 6.8. Sec 6.8: 7, 9, 13, 21-23, 27, 52-55.

6

M 2/5 W 2/7 Sec 6.7. Sec 6.6: 71-74.
Sec 6.7: 4, 15, 19, 31, 35, 45.
(For #31, use 88 ft/s = 60 mi/h; but do not use Equations (10) and (11) or Exercise 28.)

5

F 2/2 W 2/7 Sec 6.5: Read p. 389-392; skim p. 386-388; may skip Discontinuities and Integrability.
Sec 6.6: p. 396-401.
Sec 6.5: 15, 17, 19, 21, 27.
Sec 6.6: 1, 5, 13, 17, 21, 29, 31, 49. (Use FTC for #1.)

4

W 1/31 W 1/31 Sec 6.4.For Theorem 6.4.2, memorize part (a) only. May skip Theorem 6.4.4 and "Net Signed Area". Sec 6.4: 1def, 5, 7, 17, 22, 23, 25, 29a, 33, 37.
For problem 37, you must use a spreadsheet (Excel). Here's a brief Excel tutorial, if you need one. You can get help on this (and other problems) in lab on Tuesday.

3

M 1/29 W 1/31 Sec 6.3. Sec 6.3: 1ab, 9, 13, 17, 19, 21, 39, 45, 57, 61, 65, 70.
(If you feel you need more practice, pick more problems from this section on your own and try to do them.)

2

F 1/26 W 1/31 Sec 6.2; may skip Integral Curves and Slope Fields. Sec 6.2: 1, 2, 9, 11, 17, 19, 27, 33, 41, 45, 66.

1

W 1/24 W 1/24 Sec 6.1. Sec 6.1: 1, 3, 21, 22, 23, 25.
For problems 1 and 3, use n=2 and n=5 only; then use the Antiderivative Method to find the exact areas.

Updated: 31 August, 2009 17:44:19