# Math 181: Calculus II Fall 2005

## General Information

Time and Place: MWF 11-11:50pm, 145 Behavorial Sciences Building

Course Text: Calculus, Single Variable, fourth edition, by D. Hughes-Hallett et al.

Instructor: Matthias Aschenbrenner
Homepage: http://www.math.uic.edu/~maschenb
Office: 417 SEO
Office Phone: (312) 413-3150
Office Hours: M 9-10, T 3-4, W 9-10

Central webpage for this class: Math 181

Teaching assistant: Phil Grizzard, e-mail address: grizzard@math.uic.edu
Discussion section: TuTh 11-11:50am, 305 Taft Hall
Math Lab: On TuTh 9am-2:50pm there will be someone in the Math Lab (300 Taft Hall) who can answer Math 181 questions.

Calculator: Use of a graphing calculator will be an integral part of the course. Instructors will be using the TI 83. Any graphing calculator you now own should be adequate.

Prerequisites: Membership in the Honors College. Students who do not satisfy these prerequisites will be dropped.

## Course Outline

The purpose of this course is to continue your study of calculus by means of problems, examples, and applications, the discussion of theoretical ideas, and the use of the calculator. Your grade will be computed from assignments, quizzes, two hour examinations, and a final examination, weighted as follows: Homeworks/quizzes: 25%. Hour exams: 20% each. Final exam: 35%.

We will cover the following material:

Week  Sections            Brief description

1     6.1 -- 6.3          relations between derivative and integral, differential equations
2     6.4 -- 7.1          2nd Fundamental Theorem, motion, integration by substitution
3     7.1 -- 7.2          integration by parts
4     7.3 -- 7.5          integral tables, trigonometric substitution, approximations
5     7.6 -- 7.7          approximation errors, improper integrals
6     8.1 -- 8.3          applications of the definite integral to geometry
7     8.6 -- 8.8          applications: economics; distributions and probability
8     9.1 -- 9.2          sequences, geometric series
9     9.3 -- 9.5          convergence, convergence tests, power series
10    App. B              complex numbers
11    10.1 -- 10.2        Taylor series
12    10.3 -- 10.5        convergence of Taylor series, Fourier series
13    11.1, 11.2, 11.4    differential equations, slope fields, separation of variables
14    11.5                growth and decay
15    11.6                applications and modeling; review for final exam

## Assignments

I will assign both readings and homework each week, to be posted on this web page. The web page and the list of assignments on it will be updated continuously- be sure to check back frequently.

## Responsibilities- mine and yours

My responsibilities are to come to class prepared, respond to and encourage questions and other class participation, administer and grade (together with the TA) quizzes homework sets and exams, be available to you during office hours and scheduled appointments, and stimulate enthusiasm for mathematics.

Your responsibilities are as follows: You are expected to complete the assigned reading in the text before each class. Homework problems will be collected at the beginning of each lecture; the homework will be returned in the discussion sections. Some of the assigned problems will be on material you have read, but not yet covered in class. Doing these problems beforehand will prepare you to get more from the lecture.

Homework problems will be collected at the beginning of each lecture.
No late homework will be accepted.

Put the following information in the upper right hand corner of the first page:

Math 181, Homework for month/day.

On each additional page, put your name in the upper right-hand corner. Work single-sided, that is, write on only one side of each sheet of paper. STAPLE any homework that is more than one page long. Remove all perforation before submitting.

Below you find a list of assignments with date, text sections to be read for the lecture on that date, and problems to be turned in during that day's lecture. The problems and sections are numbered according to the 4th ed. of the textbook; if the numbering in the 3rd. and 4th ed. differs, the number of the corresponding section or problem in the 3rd ed. follows in parantheses.

08/22    6.1
08/24    6.2                6.1 #6, 12, 16;
08/26    6.3                6.2 #4, 8, 10, 31, 50 [51], 56 [57], 58 [59];

08/29    6.4
08/31    6.5                6.3 #8, 14, 18;
09/02    7.1                6.4 #7 [6], 15 [14], 21 [20], 34 [24];

09/05                       Labor Day holiday. (no classes)
09/07    7.1                7.1 #25 [22], 38 [36], 50 [46], 60 [56]
09/09    7.2                7.2 #8 [6], 11 [10], 18

09/12    7.3                7.3 #4, 16 [14], 21 [18], 23 [20]
09/14    7.4                7.4 #11 [16], 15 [20], 17 [22], 21 [24]
09/16    7.5                7.5 #4, 15 [18], 23 [26], 25 [28]

09/19    7.6                7.6 #4, 5, 6
09/21    7.7
09/23                       First hour exam: Chapters 6 and 7;

Suggested review problems:
Chapter 6, #3-52 [1-50], 60-69 [52-61];
Chapter 7, #1-104 [1-114], 121-132 [115-126], 156 [146].

09/26    7.7
09/28    7.8                7.7, #8, 12, 16
09/30    8.1                7.8, #4, 8, 16, 24

10/03    8.2
10/05    8.4 [8.3]          8.1, #1, 3, 6, 8, 10; 8.2, #4, 9 [8]
10/07    8.7 [8.6]          8.2, #16 [14], 20 [18]; 8.4, [8.3] #6, 8, 10, 14

10/10    8.8 [8.7]          8.7 [8.6], #20; 8.8 [8.7], #5, 8, 9
10/12    9.1                9.1, #1, 13, 14, 40, 52;
10/14    9.2 [9.1]          9.1, #20, 22, 26, 28; 9.2 [9.1], #19 [16], 20 [17], 31 [26]

(The material in 9.1 of the 4th ed. does not appear in the 3rd. ed.
The problems for 10/12 and 10/14 from 9.1 refer to the 4th ed.
I handed out copies of this chapter on 10/17.)

10/17    9.3
10/19    9.4                9.3, #10, 12, 16, 18 [9.2, #15, 18, 13, 19]
9.4, #6, 10, 14, 20 [9.3, #5, 12, 15, 17]

10/21    9.5                9.4, #52, 53 [9.3, #27, 28]
9.5, #12, 16, 18, 22 [9.4, #12, 16, 18, 22]

10/24    9.5                9.5, #23, 28, 29, 32 [9.4, #23-26]
10/26
10/28                       Second hour exam: 7.7, 7.8, and Chapters 8 & 9;

Suggested review problems:
Chapter 7, #133-146 [#127-140]

Chapter 8, #1-22, 41-42 [#1-11, 17-18]
Chapter 9, #1-53 [#1-15, 24]
(Also, try to do as many problems from 7.7, 7.8, and from the sections
in Chapters 8 & 9 that we covered.)

10/31    App. B [App. C]
11/02    10.1               App. B, #2, 4, 6, 8, 10, 12, 14, 29, 38, 42

[App. C, #2, 4, 6, 8, 10, 12, 14, 29, 38, 42]
11/04    10.2               10.1, #2, 4, 6, 12, 14, 22, 26 [10.1, #1, 7, 8, 12, 14, 19, 22]

11/07    10.3
11/09    10.4               10.2, #8, 10, 14, 16, 18, 22, 44 [10.2, #4, 6, 10, 12, 14, 18, 40]
10.3, #2, 4, 6, 26, 27 [10.3, #2, 5, 8, 19, 20]

11/11    10.5               10.4, #5, 6, 19 [10.4, #2, 3, 15]
10.5, #6, 8

11/14    11.1
11/16    11.2               10.5, #11
11.1, #6, 8, 10, 14 [11.1, #4, 5, 10, 13]
11.2, #4, 8, 10 [11.2, #6, 8, 10]

11/18    11.3               11.3, #2, 6 [11.3, #3, 6]

11/21    11.4               11.4, #2, 4, 6, 8, 30, 32, 34 [11.4, #1, 3, 4, 8, 29, 31, 34]
11/23    11.5               11.5, #6, 8 [11.5, #3, 9]

last day for resolving final exam conflicts.
11/25                       Thanksgiving Holiday. (no classes)

11/28    11.6
11/30                       11.6, #7, 8 [11.6, #5, 13]
12/02                       Review for final

## Quizzes and Exams

One quiz in the TA session on Tuesday each week, starting 08/30.

No makeup quizzes will be given.

Two hour exams, given in class, on 09/23 and 10/28. No quizzes during weeks of hour exams.

Final exam: Thursday, 12/08/05, 8:00-10:00am, in 512 SEO.

Except in the case of emergency, students must discuss absences from hour exams with me in advance of the exam. Students with final examinations which conflict with the Math 180 final examation are responsible for discussing a makeup examination with me no later than 11/23.

Students are expected to be thoroughly familiar with the University's policy on academic integrity. The University has instituted serious penalties for academic dishonesty.

Copying work to be submitted for grade, or allowing your work to be submitted for grade to be copied, is considered academic dishonesty.

It is University policy that students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services.

## Announcements

None, so far.

Use an anonymous remailer to send comments on the class (including suggestions, complaints, and compliments) and questions about the course material to the instructor (e-mail address see above).

Do not use this form to address personal concerns. All other matters specific to your situation (for example, your performance in the class) should be sent by usual e-mail.

Your submission may remain anonymous, but please provide your name and e-mail address if you would like a personal response. Please indicate whether I may publish your question and my response to it on this webpage.