Math 132A Homework

Fall 2007 Semester

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Final Exam: Wed., Dec. 12 at 3:30–5:30 in S214

1.   TUESDAY (Dec. 11):  I will be in my office (Nolan 102) today from 1:30 – 3:00.  You can also come to Kenrick 205 from 3:30 to 5:30 to pick up Exam 3.

2.   Exam 3 is graded.  Monday, you can pick it up in my office in Nolan 102 (9:00 – 11:30).  I am also giving a Final Exam in S107 from 1:00 – 3:00 ---  just come in quietly and I will give it to you. 

3.   The final exam is comprehensive!

·        Roughly 25% of the Final Exam will cover sequences & series.  Apparently, some of you did not take much time to study this topic.  It is not that difficult to compute a Maclaurin or Taylor series — see the Key to Exam 3 and refer to the examples I worked out in class and study the book’s examples.   There will most certainly be problems covering Taylor and Maclaurin series.

·        Roughly 50% of the Final Exam will cover: 

o       The Fundamental Theorem of Calculus (version 1)

o       The Fundamental Theorem of Calculus (version 2)

o       The basic integration formulas on p. 510

o       Integration by substitution

o       Integration by parts using both the formula and the tabular version  (also recall the mnemonic “LIATE”)

o       Integration of rational functions using partial fractions

o       Integration using trig substitution techniques

o       Improper integrals (comparison test is on p. 556)

·        Roughly 25% will cover:

o       Numerical integration — (a) Midpoint Rule  (b) Trapezoidal Rule  (c) Simpson’s Rule

o       Natural logarithm & exponential function & their properties

o       Applications of the Integral

§         average value of a function

§         rates of change & total change word problems (as in Section 4.5)

§         Area between curves

§         Volumes (a) by slicing  (b) the method of disks (c)  the method of washers  (d)  the method of cylindrical shells

§         Arclength

Class 43 Fri Dec 7    Exam 3

Class 42 Wed Dec 5

1.  Homework 17 is due at 12 --- before I begin class.  It will not be accepted afterwards; nor will previous assignments be accepted. 

2.     Before you leave, pick up the solution keys to Hwk 14, Hwk 16, and Hwk 17.

3.     Exam 3 on Friday covers Section 6.6 (improper integrals) and Chapter 8 (sequences & series). Be sure to study the solution keys for these sections, the examples that I worked out in class that should be in your class notes, practice problems.  Know the “Summary of Convergence Tests” on p. 662.

4.     After the exam on Friday, pick up a solution key for Exam 3.

5.     The Final next Wed is comprehensive!  It is 30% of your semester grade!!  More information about the Final will be put here sometime after the exam on Friday or Saturday morning.

Reminder:

WebCT Exam 7 (General Integration) must be completed today by 11:55 pm Friday.  It will count as 3 homework grades.

Class 41 Mon Dec 3

1.     Read Section 8.7 about Taylor series.

2.     Hwk 17 (due Wed) ­– p. 670: 12, 16, 20, and p. 683: 2, 12.

Reminders:

WebCT Exam 7 (General Integration) must be completed by Friday 11:55 pm Friday.  It will count as 3 homework grades.

Exam 3 covering Section 6.6 (improper integrals) and Chapter 8 (sequences & series) will be Friday.

Class 40 Fri Nov 30

1.     For Monday, read Sec 8.6 (pp. 664–670) about power series.

2.     Hwk 16 (due Mon) – p. 663: 8, 14, 19, 38, 41.

Reminders:

WebCT Exam 4 (Integration using Partial Fractions) must be completed today by 11:55 pm.

WebCT Exam 7 (General Integration) must be completed by Friday, Dec. 7, 11:55 pm Friday.  It will count as 3 homework grades.

Exam 3 covering Section 6.6 (improper integrals) and Chapter 8 (sequences & series) will be a week from today Friday, Dec 7.

Class 39 Wed Nov 28

1.     Read Sec 8.5 (pp. 656–661).  Know the “Summary of Convergence Tests” on p. 662 for Exam 3.

2.     Practice p. 654: 1, 3, 5, 7, 11, 15, 19, 21 and p. 663: 1, 3, 23.

3.     Hwk 15 (due this Fri) – p. 654: 2, 4, 10 and p. 663: 2, 24.

Reminders:

WebCT Exam 4 (Integration using Partial Fractions) must be completed by Friday, Nov. 30, 11:55 pm Friday.  It will count as 2 homework grades.

WebCT Exam 7 (General Integration) must be completed by Friday, Dec. 7, 11:55 pm Friday.  It will count as 3 homework grades.

Exam 3 covering Section 6.6 (improper integrals) and Chapter 8 (sequences & series) will be Friday, Dec 7.

Class 38 Mon Nov 26

1.     Practice p. 646: 1–15 (odd), 19, 31.

2.     Hwk 14 (due Wed) – p. 646: 2, 14, 21, 26, 28.

Reminders:

WebCT Exam 4 (Integration using Partial Fractions) must be completed by Friday, Nov. 30, 11:55 pm Friday.  It will count as 2 homework grades.

WebCT Exam 7 (General Integration) must be completed by Friday, Dec. 7, 11:55 pm Friday.  It will count as 3 homework grades.

Exam 3 covering Section 6.6 (improper integrals) and Chapter 8 (sequences & series) will be Friday, Dec 7.

Class 37 Wed Nov 21

1.     Practice p. 646: 1–15 (odd), 19, 31.

2.     Hwk 14 (due Wed Nov 28) – p. 646: 2, 14, 21, 26, 28.

Reminders:

WebCT Exam 4 (Integration using Partial Fractions) must be completed by Friday, Nov. 30, 11:55 pm Friday.  It will count as 2 homework grades.

WebCT Exam 7 (General Integration) must be completed by Friday, Dec. 7, 11:55 pm Friday.  It will count as 3 homework grades.

Exam 3 covering Section 6.6 (improper integrals) and Chapter 8 (sequences & series) will be Friday, Dec 7.

Class 36 Mon Nov 19

1.     Read pp. 636–645.

2.     Practice p. 646: 1–15 (odd).

3.     Exam 3 covering Section 6.6 (improper integrals) and Chapter 8 (sequences & series) will be Friday, Dec 7.

Class 35 Fri Nov 16

1.     Read pp. 626–633.

2.     Practice p. 634: 1, 5, 7, 17, 19, 33, 35.

3.     Hwk 13 (due Mon Nov 19) – p. 634: 4, 8, 10, 36, 44.

Class 34 Wed Nov 14

1.     Read pp. 626–631.

2.     Reminder: Hwk 12:  This Friday turn in p. 624: 14, 22, 31, 38, 40.

3.     WebCT Exam 4 (Integration using Partial Fractions) must be completed by Friday, Nov. 30, 11:55 pm Friday.  It will count as 2 homework grades.

4.     WebCT Exam 7 (General Integration) must be completed by Friday, Dec. 7, 11:55 pm Friday.  It will count as 3 homework grades.

Class 33 Mon Nov 12

1.     Read pp. 617–622 (skip the proof on p. 622).  Also read pp. 626–631.

2.     Practice p. 624: 26, 27, 29, 33, 35, 39, 41, 49 (Fibonacci).

3.     Hwk 12:  On Friday, turn in p. 624: 14, 22, 31, 38, 40.

Class 32 Fri Nov 9

1.     Read about sequences: pp. 611–616.

2.     Practice p.623: 1, 3, 11, 13, 15, 17, 19, 21.

Reminder:  Hwk 11 (due Monday, Nov. 12):  p. 537: 16, 26 and p. 558: 42, 44, 46.

                            WebCT Exam 5 must be completed today by 11:55 pm Friday.  Counts as two homework grades.

Class 31 Wed Nov 7

1.     Read about sequences: pp. 611–616.

2.     Practice p.623: 1, 3, 11, 13, 15, 17, 19, 21.

Reminder:  Hwk 11 (due Monday, Nov. 12):  p. 537: 16, 26 and p. 558: 42, 44, 46.

                            WebCT Exam 5 must be completed by 11:55 pm Friday.  Counts as two homework grades.

Class 30 Mon Nov 5

1.     Practice p. 558: 39, 41, 43.

2.     Hwk 11 (due Monday, Nov. 12):  p. 537: 16, 26 and p. 558: 42, 44, 46.

Reminder:  Hwk 10–due Wed: p. 558: 8, 10, 16, 26, 34.

                            WebCT Exam 5 must be completed by 11:55 pm Friday.  Counts as two homework grades.

Class 29 Fri Nov 2

1.     Practice p. 558: 1–21 (odd).

2.     Hwk 9–due Friday, Nov. 2.  Use the method of tabular integration on the following problems: p. 519: 9, 13, & 56.  Also turn in p. 537: 10 & 12. 

Reminder:  Hwk 10–due next Wed: p. 558: 8, 10, 16, 26, 34.

Reminder:  WebCT Exam 3 must be completed by today! Counts as 2 homework assignments!

                            WebCT Exam 5 must be completed by 11:55 pm Friday, Nov 9.  Counts as two homework grades.

Class 28 Wed Oct 31

1.     Read pp. 546–555.

2.     Practice p. 558: 1–9 (odd).

Reminder:  Hwk 9–due Friday. 

Reminder:  WebCT Exam 3 must be completed by 11:55 pm Friday! Counts as 2 homework assignments!

Class 27 Mon Oct 29

1.     Study Section 6.4.

2.     Practice p. 537: 1, 3, 7, 9, 11, 15.

3.     Hwk 9–due Friday, Nov. 2.  Use the method of tabular integration on the following problems: p. 519: 9, 13, & 56.  Also turn in p. 537: 10 & 12. 

WebCT Exam 3 (Integration by parts) must be completed by 11:55 pm Friday, Nov 2.

Class 26 Fri Oct 26

1.     Study the article about tabular integration by parts.

2.     Reminder: Hwk 8 (Due Mon)–turn in p. 463: 14, 16, 19 and p. 470: 7, 16.

3.     WebCT Exam 3 (Integration by parts) must be completed by 11:55 pm Friday, Nov 2.  It will count as two homework grades.

4.     WebCT Exam 5 (Trig substitution) must be completed by 11:55 pm Friday, Nov 9.  It will count as two homework grades.

Class 25 Wed Oct 24

1.     Read the article about tabular integration by parts.

2.     Hwk 8: Mon turn in p. 463: 14, 16, 19; p. 470: 7, 16.

Class 24 Mon Oct 22

1.     Read 5.3 (Volumes by Cylindrical Shells)

2.     Practice p. 462: 1, 5, 7, 9.

Fall Break Oct 15 – Oct 19

Class 23 Fri Oct 12

Exam 2

Class 22 Wed Oct 10

Exam 2 on Friday will cover

1.     integration

§    of standard forms (memorize table on p. 510)

§    by substitution

§    by parts

§    involving powers of trigonometry functions (pp. 521-523)

§    of an unusual integral (Example 3.8 on p. 525; memorize the formula)

§    using a trigonometric substitution (pp. 525-528).

2.     Areas (Section 5.1)

3. Volumes (Section 5.2)

§    by slicing (see formula (2.1))

§    by the method of disks

§    by the method of washers.

Class 21 Mon Oct 8

1.     Read in Section 6.3:  pp. 525–528.

2,     Practice p. 529: 17, 19, 20, 21, 25, 27, 28, 29.

3.     Exam 2 on Friday will cover the topics after Chapter 4 including trigonometry substitution.

Class 20 Fri Oct 5

1.     Read in Section 5.2 pp. 441–450.

2.     Hwk 7 for Mon is to turn in p. 454: 2, 14, 20 and p. 529: 4.

3.     Exam 2 Friday, Oct 12 will cover the topics after Chapter 4.

Class 19 Wed Oct 3

1.     In Section 6.3, read pp. 521–523.

2,     Practice p. 529: 1, 2, 3, 5, 7, 13, 15.

3.     Reminder: Hwk 6 is due Friday.

4.     Exam 2 Friday, Oct 12 will cover the topics after Chapter 4.

Class 18 Mon Oct 1

1.     Read the article about a mnemonic for integration by parts.

2,     Practice p. 519: 13, 17, 21, 25, 27, 41, 43.

3.     Hwk 6 (due Friday) Turn in p. 519: 7, 10, 16, 26, 42.

Class 17 Fri Sept 28

1.     Read pp. 514–519.

2.     Practice p. 519: 1, 3, 5, 7, 9.

Reminder:

Memorize the table of integrals on p. 510.

20-point quiz Monday on the table of integrals and practice problems on p. 513 (see Class 16).

Class 16 Wed Sept 26

1.     Read pp. 510–513.

2.     Practice p. 513: 1–49 (odd).

3.     Memorize the table of integrals on p. 510.

4.     20-point quiz Monday on the table of integrals and practice problems.

Reminder:  Extra credit problem (50 on p. 440) is due Friday by class time.

Class 15 Mon Sept 24

1.     Hwk 5 (due Wed)–turn in p. 438: 2, 9, 20, 22, 32.

2.     Read pp. 441–446.

Class 14 Fri Sept 21

1.     Practice p. 438: 1, 7, 19, 23, 31.

2.     Hwk 5 (due Wed)–turn in p. 438: 2, 9, 20, 22, 32.

I will return the exams on Monday. 

Class 13 Wed Sept 19

        Exam 1 

Class 12 Mon Sept 17

1.     Exam 1 on Wednesday.  Be sure to bring your calculator for the first part.

2.  For Friday, read Section 5.1.

Class 11 Fri Sept 14 [for Mon]

  1. Hwk 4 (due Mon)–turn in p. 425: 12, 16, 24, 26, 32 (graph must be on quadrille or graph paper)
  2. Reminder: WebCT Exam 2 (on Sec. 4.6) must be completed by 11:55 pm Monday!
  3. Exam 4 on Wed covers

·         topics in textbook covered in class in Sections 4.5, 4.6, 4.7, & 4.8;

·         classnotes (definitions, basic graphs such as ln x, review of material from M131);

·         practice problems;

·         turn-in problems.

Class 10 Wed Sept 12 [for Fri]

  1. Read pp. 416–424.
  2. Practice p. 425: 11, 15, 17, 19, 21, 27, 31, 37.
  3. Hwk 4 (due Mon)–turn in p. 425: 12, 16, 24, 26, 32 (graph must be on quadrille or graph paper)

Class 9 Mon Sept 10

  1. WebCT Exam 2 (on Sec. 4.6) must be completed by 11:55 pm Monday, Sept. 17!  You must score at least 80% on this particular exam to pass this course!  You can take WebCT Exam 2 as many times as you wish up to the 11:55 pm deadline.  It will also help prepare you for Exam 1.
  2. Reminder–Exam 1: Wed. Sept. 19.
  3. Hwk 3 is due this Wednesday:

§    p. 401: 20, 38, 66 (use quadrille or graph paper);

§    p. 413: 8 (Midpoint, Trapezoidal, Simpson’s rules with all answers to 6 decimal places) & 34 (use Simpson’s rule).

  1. Read pp. 416–419.

Class 8 Fri Sept 7

  1. Read pp. 407-409.
  2. Reminder:  WebCT Exam 1 must be completed by midnight Sunday!  Do not wait until Sunday because you must take this exam and score at least 90% on this particular exam to pass this course!  You can take WebCT Exam 1 as many times as you wish up to the midnight deadline.
  3. Change in due date of Hwk 3: Wed Sept 12.
  4. Exam 1 date: Wed. Sept. 19.

Class 7 Wed Sept 5

  1. Read pp. 405-406.
  2. Practice p. 413: now use the Trapezoidal Rule to work 3 & 7.
  3. Hwk 3 (due Monday, Sept 10), turn in

§    p. 401: 20, 38, 66 (use quadrille or graph paper);

§    p. 413: 8 (Midpoint, Trapezoidal, Simpson’s rules with all answers to 6 decimal places) & 34 (use Simpson’s rule).

  1. Reminder:  WebCT Exam 1 is due by midnight Sunday, Sept 9. 

Class 6 Fri Aug 31

  1. Read pp. 402-404.
  2. Practice p. 413: Use only the Midpoint Rule to work 3 & 7.
  3. Don’t forget about Hwk 2 for Wed.
  4.  WebCT Exam 1 must be completed by midnight Sunday, Sept 9.  Don’t forget to register by Tuesday (see #1 in Class 5).

Class 5 Wed Aug 29 

  1. Register for WebCT6 M132 Calculus II tests.  Deadline: Tuesday, Sept 4. 

    (For directions, click on the link: WebCT log-on and registration information.)

  1. WebCT Exam 1 must be completed by midnight Sunday, Sept 9.
  2. Practice p. 400: 37, 39, 45, 47, 49. 
  3. Hwk 2 (due next Wed): turn in on p. 391: 56, 62 and on p. 400: 16, 30, 34, 46.

Class 4 Mon Aug 27  

  1. Practice p. 391: 53, 57, 58, 61, 71.
  2. Read Section 4.6.
  3. Practice p. 400: 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 27, 31, 35.

Class 3 Fri Aug 24  

Hwk 1 (due Monday) p. 390: turn in 22, 23 (use n =20 & write down the Riemann sum as well as compute it to 3 decimal places), 30, 44, 50.

Class 2 Wed Aug 22   

  1. Study Section 4.5.
  2. Practice p. 390: 21, 25, 27, 29, 39, 43.
  3. Hwk 1 (due Monday) p. 390: turn in 22, 23 (use n =20 & write down the Riemann sum as well as compute it to 3 decimal places), 44, plus more will be assigned on Friday.

Class 1 Mon Aug 20   

  1. Read the Course Handout.
  2. Study Sections 1, 2, 3, & 4 in Chapter 4.  This should be a review; but if you have not mastered this material for some reason, now is the time to do so.  Roughly 75% of this course depends on you knowing this material very well.
  3. Memorize the table of integrals at the bottom of p. 347 by Wednesday.  In addition, the integrals listed in Corollaries 1.1 & 1.2 on p. 349.
  4. Practice p. 390: 3, 7, 9, 11, 13, 15, 19, 47, & 49.  These will not be collected.  Nevertheless, they (or something similar) may appear on an exam or quiz.

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