arminstraub.com

# Fall 2015: Calculus II (Math 126)

## Overview

 Instructor Dr. Armin Straub ILB 313 straub@southalabama.edu (251) 460-7262 (please use e-mail whenever possible) Office hours MW, 10:00-11:55am, and TR, 10:50-11:55am, or by appointment Lecture MWF, 9:05-9:55am, and T, 8:25-9:15am, in ILB 350. Midterm exams The dates for our two midterm exams are: Friday, October 2 Friday, November 13 Final exam Wednesday, December 9 — 8:00-10:00am Text University Calculus: Early Transcendentals, 2nd edition, by Joel Hass, Maurice D. Weir and George B. Thomas Jr. (Addison-Wesley, 2012) Syllabus syllabus.pdf

## Homework and lecture sketches

There is two kinds of homework.

• The graded homework needs to be turned in on the due date at the end of class.
• The study problems are posted for your benefit but they are not turned in. You are strongly encouraged to have a look at these after each lecture to make sure that you are in good shape. You don't necessarily have to work through all of these problems in full detail but you should make sure that you understand the problems and know how to solve them.

To further help you study for this class, I am posting lecture sketches. These are not a substitute for your personal lecture notes or coming to class (for instance, most details and motivation are not included in the sketches). I hope that they are useful to you for revisiting the material and for preparing for exams.

Date Sketch In the book Study problems Graded homework
08/18 lecture01.pdf mix of early chapters have a look at Section 5.4 (review) none
08/19 lecture02.pdf Section 5.4 Section 5.4: 2,10,22 (solutions); do Example 13 in the lecture sketch Section 5.4: 23
due: Friday, Aug 28, in class
08/21 lecture03.pdf Section 5.5 Section 5.5: 2,8,14,22,34 (solutions) Section 5.5: 29
due: Friday, Aug 28, in class
08/24 lecture04.pdf Sections 5.5/5.6 Section 5.5: 44,58; Section 5.6: 2,14 (solutions) Section 5.6: 31
due: Friday, Sept 4, in class
08/25 lecture05.pdf Section 5.6 Section 5.6: 54,58,64 (solutions) Section 5.6: 95
due: Friday, Sept 4, in class
08/26 lecture06.pdf Sections 5.6/6.1 review the first 3 pages of Section 6.1 none
08/28 lecture07.pdf Section 6.1 Section 6.1: 15,19,25,53 Section 6.1: 42,52
due: Friday, Sept 4, in class
08/31 lecture08.pdf Sections 6.1/6.2 Section 6.1: 39,41 none
09/01 lecture09.pdf Section 6.3 Section 6.3: 1, 15ab; do Example 47 in the lecture sketch (scanned pages) Section 6.3: 26
due: Friday, Sept 11, in class
09/02 lecture10.pdf Section 6.3 set up an integral (in x) for the circumference of a circle of radius r, then substitute u=x/r (without consulting lecture sketch) and simplify none
09/04 lecture11.pdf Section 6.5 Section 6.5: 7,9 (scanned pages) Section 6.5: 8
due: Friday, Sept 11, in class
09/08 lecture12.pdf Section 6.5 try to finish Example 57 in the lecture sketch Section 6.5: 32a
due: Friday, Sept 18, in class
09/09 lecture13.pdf Section 6.5 Section 6.5: 13a, 19 Section 6.5: 16
due: Friday, Sept 18, in class
09/11 lecture14.pdf Section 7.2 Section 7.2: 1,7,9 Section 7.2: 10
due: Friday, Sept 18, in class
09/14 lecture15.pdf Section 7.2 Section 7.2: 11, 19; Example 74 in sketch Section 7.2: 20 (factor RHS!)
due: Friday, Sept 25, in class
09/15 lecture16.pdf Sections 7.2/8.1 Section 7.2: 25; Section 8.1: 1 Section 7.2: 27
due: Friday, Sept 25, in class
09/16 lecture17.pdf Section 8.1 Section 8.1: 5,9,23 Section 8.1: 18
due: Friday, Sept 25, in class
09/18 lecture18.pdf Section 8.4 Section 8.4: 1,9; Example 88 in sketch Section 8.4: 2
due: Friday, Sept 25, in class
09/21 lecture19.pdf Section 8.4 Section 8.4: 13,19 Section 8.4: 20
due: Friday, Oct 2, in class
09/22 lecture20.pdf Section 8.4 Section 8.4: 21,33; redo Example 92 in sketch Section 8.4: 53
due: Friday, Oct 2, in class
09/23 lecture21.pdf Section 8.7 Section 8.7: 1,3,25 Section 8.7: 24
due: Friday, Oct 2, in class
09/25 lecture22.pdf Sections 8.7/8.2 prepare for the exam using the practice problems: midterm01-practice.pdf, midterm01-practice-solution.pdf none
09/28 lecture23.pdf Section 8.2 prepare for the exam! finish Example 104 (another good exercise in substitution) none
09/29 lecture24.pdf review get ready for the exam! none
09/30 lecture25.pdf review get ready for the exam! none
10/05 lecture26.pdf Section 8.3 Section 8.3: 1; do Example 113 in sketch Example 114 in sketch
due: Friday, Oct 16, in class
10/06 lecture27.pdf Sections 4.5/9.1 Section 4.5: 11,45; Section 9.1: 3,15,17 Section 4.5: 12,46
due: Friday, Oct 16, in class
10/07 lecture28.pdf Section 9.1 Section 9.1: 29,31,41 Section 9.1: 32,34,55
due: Friday, Oct 16, in class
10/12 lecture29.pdf Section 9.1 Section 9.1: 43,51,57,59,61 Section 9.1: 36,46,62
due: Friday, Oct 23, in class
10/13 lecture30.pdf Section 9.1 Section 9.1: 53, 91, 95 Section 9.1: 98; Example 129 in sketch
due: Friday, Oct 23, in class
10/14 lecture31.pdf Section 9.2 Section 9.2: 7,9,15 Section 9.2: 8,12
due: Friday, Oct 23, in class
10/16 lecture32.pdf Section 9.2 Section 9.2: 13,21,63,71,73 Section 9.2: 76
due: Friday, Oct 23, in class
10/19 lecture33.pdf Section 9.2 Section 9.2: 19,21,53,55 Section 9.2: 24,56
due: Friday, Oct 30, in class
10/20 lecture34.pdf Section 9.3 Section 9.3: 7,11,13 Section 9.3: 6
due: Friday, Oct 30, in class
10/21 lecture35.pdf Section 9.3 Section 9.3: 15,25,29 Section 9.3: 38
due: Friday, Oct 30, in class
10/23 lecture36.pdf Section 9.4 Section 9.4: 1,5 Section 9.4: 6
due: Friday, Oct 30, in class
10/26 lecture37.pdf Sections 9.1-9.3 please review all study problems on series none
10/27 lecture38.pdf Section 9.4 Section 9.4: 1,5,9,15 Section 9.4: 10
due: Friday, Nov 6, in class
10/28 lecture39.pdf Sections 9.4/9.5 Section 9.4: 11,13,17 Section 9.4: 18
due: Friday, Nov 6, in class
10/30 lecture40.pdf Section 9.5 Section 9.5: 1,3,5 Section 9.5: 18
due: Friday, Nov 6, in class
11/2 lecture41.pdf Sections 9.5/9.7 Section 9.7: 1,5,7,13 (convergence via ratio test only) Section 9.7: 12 (convergence via ratio test only)
due: Wednesday, Nov 11, in class
11/3 lecture42.pdf Sections 9.5/9.7 Section 9.7: 1,5,7,13 (radius of convergence only) Section 9.7: 12 (radius of convergence only)
due: Wednesday, Nov 11, in class
11/4 lecture43.pdf Sections 9.5/9.7 Section 9.7: 11,15,17 (radius of convergence only), 41,43 Section 9.7: 44
due: Wednesday, Nov 11, in class
11/6 lecture44.pdf Section 9.7 prepare for the exam using the practice problems: midterm02-practice.pdf, midterm02-practice-solution.pdf none
11/9 lecture45.pdf Section 9.7 prepare for the exam! none
11/10 Q&A review get ready for the exam! none
11/11 lecture46.pdf review get ready for the exam! none
11/16 lecture47.pdf Sections 9.7/9.6 Section 9.6: 1,7 Section 9.6: 2,6
due: Monday, Nov 23, in class
11/17 lecture48.pdf Sections 9.6/9.7 Section 9.7: 7,11,15,17 (all parts) Section 9.7: 4,14 (all parts)
due: Monday, Nov 23, in class
11/18 lecture49.pdf Sections 9.8/9.9 Section 9.8: 11,29 Section 9.8: 2
due: Monday, Nov 23, in class
11/20 lecture50.pdf Sections 9.8/9.9 Section 9.9: 1,11,13 Section 9.9: 2; Example 196 in sketch
due: Monday, Nov 23, in class
11/23 lecture51.pdf Sections 9.9/9.10 Section 9.9: 21; Section 9.10: 61,67 Section 9.9: 22; Section 9.10: 68
due: Friday, Dec 4, in class
11/24 lecture52.pdf Sections 9.10/7.3 Section 7.3: 1,3,5,7,13 none
11/30 lecture53.pdf Section 10.3 Section 10.3: 5,7ab,11,13,15,23,25,35,53,61 none
12/01 lecture54.pdf Sections 10.1/10.2 Section 10.2: 1,3,5,9,25,27 none
12/02 Q&A review prepare for the exam using the practice problems: final-practice.pdf, final-practice-solution.pdf none
12/04 Q&A review get ready for the final exam! none

## Solutions to homework

The solutions to the study problems can be found at the end of the book.

Below are solutions to the graded homework. Please compare these solutions with your own (if you made a mistake I might have marked it; however, due to a lack of time, I am mostly checking for completeness only). If you have any questions, as always, please let me know!

## Bonus problems

• bonus01.pdf, bonus01-solution.pdf (due before Friday, Sept 25)
If correctly and carefully done, you can unlock the following bonus: a magic one-time spell to replace anyone of your quiz scores with a perfect score.

## Exams and practice material

There will be two in-class midterm exams and a comprehensive final exam. Notes, books, calculators or computers are not allowed during any of the exams.

Our exam schedule is:

The following material will help you prepare for the exams.