General Information

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

Instructor: Matthias Aschenbrenner
E-mail address: 
Homepage: http://www.math.uic.edu/~maschenb
Office: 616 SEO
Office Phone: (312) 413-2163
Office Hours: M 2-3pm, W 2-3pm, F 11-12am

Central webpage for this class: Math 180

Teaching assistant: Xin Fang, e-mail address: xfang1@uic.edu
Discussion sections: TuTh 2:00-2:50pm or 3:00-3:50pm, 312 Taft Hall
Office hours: On TuTh 9am-3:50pm there will be someone in the Math Lab (300 Taft Hall) who can answer Math 180 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: An appropriate grade on the Department placement test or a grade of C or better in Math 121  or an approved equivalent course. Students who do not satisfy these prerequisites will be dropped.

Emerging Scholars Program (ESP): ESP participants spend an additional four hours per week (2-hour sessions) working in groups on challenging mathematics problems, and receive 1 Satisfactory/Unsatisfactory credit. Admissions to ESP depends on an adequate score on the university placement examination or a grade of C or better in the prerequisite for the math taken with the Emerging Scholars workshop. Further questions about ESP should be directed to Jeanne Ward (e-mail: jmward@math.uic.edu).

ESP section instructor: Rishi Nath (e-mail: nath@math.uic.edu)

ESP sections:TuTh 1:00-1:50pm, 312 Taft Hall.

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Course Outline

We will cover the following material:

    Week  Sections        Brief description

    1     1.1 -- 1.2      Linear, exponential, elementary functions
    2     1.3 -- 1.6      Trig functions, composition
    3     1.7 -- 2.1      Continuity, introduce derivative
    4     2.2 -- 2.4      Limits, derivative at a point and derivative function
    5     2.5             Interpretations of the derivative, Review + Exam I

    6     2.6 -- 2.7      Second derivative, continuity
    7     3.1 -- 3.4      Derivative: powers and basic rules
    8     3.5 -- 3.7      Composition, implicit functions
    9     3.8 -- 3.10     Parametric equations, linear approximation
    10    4.1 -- 4.3      Applications, families, max-min
    11    4.4 -- 4.6      Applications, optimization
    12    4.7             Properties of functions; Review + Exam II

    13    5.1 -- 5.3      The definite integral
    14    5.3 -- 5.4      Interpretations of integral, the Fundamental Theorem
    15    5.4             Properties of integrals; general review for final exam

Click here to download the course information handout.

Homework

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

    Your Name
    Math 180, 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.

The homework will be returned in the discussion sections. Some of these problems will be on material to be discussed that day and some will be on material previously discussed. 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.
 

Date     Section(s)         Problems/Comments

08/25    1.1                also, read preface page xi.
08/27    1.2                1.1 #4, 23, 24, 27; 1.2 #1 - 3, 5, 7, 21;
08/29    1.2                1.1 #19, 20, 22, 28; 1.2 #22, 23, 29, 30;

09/01                       Labor Day holiday. (no classes)
09/03    1.3, 1.4           1.3 # 3, 5, 16-19; 1.4 #3, 5, 19;
09/05    1.5                1.4 #29, 33, 36, 39; 1.5 #1, 6;

09/08    1.6                1.5 #14, 18, 20, 22, 24; 1.6 #2, 4, 5;
09/10    1.7                1.6 #6, 7, 10, 22, 23, 25, 32; 1.7 #3, 4, 5;
09/12    2.1                1.7 #1, 9, 11, 16;  2.1 #3, 4, 11, 15;

09/15    2.2                2.1 #5, 7, 9, 13, 14, 16; 2.2 #7, 8, 9;
09/17    2.3                2.2 #11, 15, 23, 30; 2.3 #2, 8, 9, 23;
09/19    2.4                2.3 #12, 17, 22; 2.4 #1, 2, 11;

09/22    2.5                2.4 #15, 19, 28, 35; 2.5 #2, 3;
09/24                       2.5 #7, 17;
                            1. Rev #1, 3, 6, 7, 18, 19, 26, 34, 42; review
                            2. Rev #4, 5, 7, 9, 22, 24, 27, 36;  review
09/26                       Hour Exam 1  (covers 1.1--2.5 on syllabus)
09/29    2.6                2.6 #8, 9, 10, 11;
10/01    2.7                2.6 #13, 15, 18, 19; 2.7#1, 2, 6, 9;
10/03    2.7                2.7 #4, 7, 11, 13, 16;

10/06    3.1                3.1 #3, 9, 11, 16, 21, 35;
10/08    3.2, 3.3           3.1 #10, 22, 27, 40, 41, 49, 56, 59; 3.2 #1, 3, 4; 3.3 #1, 3, 4;
10/10    3.4                3.2 #10, 16, 22, 28, 37, 42;
                            3.3 #6, 9, 10, 12, 16, 31, 41, 44; 3.4 #1, 3, 4;

10/13    3.5                3.4 #5, 6, 12, 18, 24, 26, 38, 47, 55; 3.5 #2, 3, 5;
10/15    3.6                3.5 #7, 9, 18, 23, 26, 36, 42, 46, 52; 3.6 #1, 2, 5;
10/17    3.7                3.6 #6, 9, 14, 18, 19, 35, 44, 46, 49, 50; 3.7 #1, 2;

10/20    3.8                3.7 #3, 6, 9, 13, 20, 21, 26; 3.8 #1, 3, 6;
10/22    3.9                3.8 #3, 8, 11, 14, 18, 26, 28; 3.9  #3, 5;
10/24    3.10               3.9 #2, 7, 9, 12, 15; 3.10 # 1, 2, 5;

10/27    4.1                3.10 #7, 8, 9, 11, 13, 15, 16; 4.1 #2, 3, 10;
10/29    4.2                4.1 #11, 13, 17, 27, 33, 29, 35, 40, 41;  4.2 #2, 13;
10/31    4.3                4.2 #12, 14, 15, 18, 21, 32; 4.3  #1, 2, 4;

11/03    4.4                4.3 #7, 9, 15, 18, 22, 25; 4.4 #1, 2, 6;
11/05    4.5                4.4 #7, 8, 9, 10, 13, 15; 4.5 #1, 3;
11/07    4.6                4.5 #6, 8, 9, 14, 16, 18; 4.6 #1, 2, 6;

11/10    4.7                4.6 #8--12, 18, 21; 4.7 #2, 3, 4, 5, 6, 9;
11/12                       4.7 #13, 14, 16, 26, 27, 29, 30;
                            3.R #1, 3, 5, 53, 72, 73, 74, 75, 81;
                            4.R #1, 3-6, 7, 12, 17, 24, 25, 28, 38; review
11/14                       Hour Exam 2* (covers 2.6--4.7 on syllabus)

11/17    5.1                5.1 #2, 5, 10, 11;
11/19    5.2                5.1 #3, 6, 7, 8; 5.2 #2, 3;
11/21    5.3                5.2 #6, 9,12, 14, 20, 24, 32; 5.3 #1, 3, 7;

11/24    5.4                5.3  #12, 16, 20, 23, 26, 27; 5.4  #1, 2;
11/26    5.4                5.4  #4, 5, 6, 7, 11, 13, 14, 21;
11/28                       Thanksgiving Holiday; (no classes)

12/01                       5.R  #1, 8, 10, 32, 33; review
12/03                       5.R  #12, 16, 18, 34, 37; review;
                            last day for resolving final exam conflicts.
12/05                       5.R  review.

Quizzes and Exams

Two hour exams, given in class, on 09/26 and 11/14. No quizzes during weeks of hour exams. Please see here for sample exams.

Click here for the solutions to the first hour exam.

Final exam: Thursday, 12/11/03, 1:00-3:00pm, at a place to be announced.

Students are expected to be thoroughly familiar with the University's policy on academic integrity. The University has instituted serious penalties for academic dishonesty. We have encouraged you to work with your classmates on homework. Regarding homework, quizzes, hour exams, and the final examination:

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.

Grading

Announcements

Some remarks about your solutions to the various problems:

1. OK, for the most part. Some people forgot that constants have derivative 0. Also- read the problems carefully- you were supposed to indicate the rules which you used!

2. Most people found the derivative. Some forgot what "local linearization" means.

3. Here many were assuming that both parts could be done using L'Hopital's Rule- in the second limit this rule didn't apply! "Getting the right answer" (namely 0) is not enough. For example, in computing the limit of (sin x)/(x+1) as x -> 0, if you would apply L'Hopital's Rule (which again is not admissible) you would get 1, and not the correct answer (i.e., 0).

4. Many people forgot to explain why the critical point which they found was a global maximum.

5. In part 2, many did not argue why there is only one y such that (1,y) is on the curve described by the given equation.

6. (Extra credit.) Some people got it!

Click here to access the questions which appeared on the quizzes covering Sections 2.6-4.3.

Also check the main webpage for Math 180 for announcements about this class.

Comments and Questions

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Answers to Questions

Last modified 11/19/03.