Math 180: Calculus I

General Information

Time and Place: MWF 1-1:50pm, Lecture Center B
Control Number: 13414

Instructor: Matthias Aschenbrenner

E-mail address: maschenbatmath.uic.edu
Homepage: http://www.math.uic.edu/~maschenb

Office:
417 SEO
Office Phone: (312) 413-3150
Office Hours: Monday 3-4pm, Wednesday 3-4pm, Friday 11am-12.

There is a central webpage for all sections of this class.

Teaching assistants: Michael Defranco and Marcy Robertson
Discussion sections:
TuTh 1-1:50pm, 304 Taft Hall (Defranco); 2-2:50pm, 309 Taft Hall (Defranco); 1-1:50pm, 309 Taft Hall (Robertson)
TA office hours: On TuTh 9am-3:50pm there will be someone in the Mathematical Sciences Learning Center (SEO 430) 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 Plus. 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.

ESP section instructor: Marcy Robertson

ESP sections: TuTh 10-11:50am, 208 Taft Hall (Robertson)

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Description

The purpose of this course is to introduce you to calculus through the study of problems, examples, and applications, the discussion of theoretical ideas, and the use of the calculator. You are expected to read material in advance of lectures, as well as do some relevant problems beforehand, in order to maximize what you get out of  the lectures.

We will cover the following material:

    Week  Sections        Brief description

    1     1.1 -- 1.6      Elementary functions
    2     1.7 -- 1.8      Continuity and limits
    3     2.1 -- 2.3      The derivative
    4     2.4 -- 2.6      Interpretations of the derivative
    5                     Hour Exam I

    6     3.1 -- 3.4      Basic differentiation techniques
    7     3.5 -- 3.8      Differentiation of elementary functions
    8     3.9 -- 3.10     Mean value theorem
    9     4.1 -- 4.2      Local extrema, families of functions
    10    4.3, 4.5        Extrema, modeling
    11                    Hour Exam II

    12    4.6 -- 4.8      Applications
    13    5.1 -- 5.3      The definite integral
    14    5.3 -- 5.4      The Fundamental Theorem of Calculus
    15                    Review for Final Exam

Click here to download the class information handout. 

Course Text

Calculus, Single Variable, fourth edition, by D. Hughes-Hallett et al., Wiley, ISBN: 0-471-48482-2.

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:

    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.

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. 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     Read section(s)         Problems/Comments

08/28                  
08/30    1.1, 1.2, 1.3           1.1, #2, 5, 10; 1.2, #5, 7--10  
09/01    1.4, 1.5, 1.6           1.3, #2, 3, 14; 1.4, #7, 10, 22
09/06    1.7                     1.2, #20, 36; 1.3, #24, 27; 1.4, #23, 33; 1.5, #1--4, 13, 18, 21
09/08    1.8                     1.6, #12, 14, 29; 1.7, #2, 4, 6, 18, 19; 1.8, #12, 13
09/11    2.1                     1.7, #3, 5, 9; 1.8, #15, 19; 2.1, #1, 5
09/13    2.2                     1.R, #1, 3, 34; 2.1, #2, 13, 14, 18; 2.2, #1
09/15    2.3                     1.R, #49; 2.2, #2, 6, 7, 9, 10; 2.3, #1, 12
09/18    2.4                    
2.3, #7, 11, 13, 15, 17, 22, 33; 2.4, #1, 2
09/20    2.5                     2.4, #9, 10, 14, 19; 2.5, #1, 2
09/22    2.6                     2.5, #3, 14, 21; 2.6, #1, 3
09/25                            2.6, #3, 4, 5, 12; 2.R, #4, 5, 9
09/27    3.1                     3.1, #2; 2.R, #19, 20, 25, 31, 32
09/29                            Hour Exam 1, covering chapters 1 and 2
10/02
10/04    3.1, 3.2, 3.3           3.1, #8, 23, 28, 35, 36, 37, 51, 53, 58, 65;
                                 3.2, #1, 3, 5, 7, 25, 31, 36, 37, 42, 43
10/06    3.4                     3.3, #3, 5, 11, 16, 22
10/09    3.5                     3.3, #31, 42, 44; 3.4, #3, 5, 12, 23, 24, 42, 63, 71
10/11    3.6                     3.5, #2, 3, 4, 6, 7, 8, 10, 11, 29, 37, 41, 44
10/13    3.7, 3.8                3.6, #1, 3, 6, 15, 17, 21, 43, 44
10/16    3.9                     3.7, #2, 8, 11, 23, 27, 28; 3.8, #2, 5, 14
10/18    3.10                    3.9, #2, 4, 19, 21; 3.R, #1, 10, 16, 25, 39;
3.10, #1, 2, 3
10/20    3.10                    3.10, #4, 5, 6, 7, 14; 3.R, #26, 33, 44, 71
10/23    4.1                     3.R, #2, 3, 8, 60, 68, 82
10/25    4.1, 4.2                4.1, #1, 6, 7, 13, 17, 18, 23, 27, 28, 38
10/27    4.2                     4.2, #2, 8, 16, 22, 32
10/30    4.3                     4.2, #7, 14, 26; 4.3, #5, 6
11/01    4.3, 4.5                4.3, #13, 15, 16, 19, 20
11/03    4.5                     4.5, #4, 10, 23
11/06                            do the problems in the study guide for Hour Exam 2
11/08    4.6                     4.5, #6, 11, 14, 18, 21
11/10                            Hour Exam 2, covering chapter 3 and 4.1-4.5
11/13    4.7                     4.7, #6, 9, 12, 13, 15, 27
11/15    4.8                     4.8, #1, 2, 6, 14, 20, 24
11/17    5.1                     5.1, #1, 6, 8, 15, 16
11/20    5.2                     5.1, #3, 5, 7
11/22    5.3                     5.2, #1, 2, 5, 6, 27
11/27    5.4                     5.3, #1, 2, 13, 17, 18
11/29    5.4                     5.3, #9, 11, 29; 5.4, #2, 3, 14
12/01                            5.4, #36-39, 40; 5R, #3, 7, 8, 9, 14, 15
12/04                            4.R, #1, 3, 6, 8, 9, 13, 16, 18, 43, 45

Quizzes and Exams

One quiz in the discussion session on Tuesday each week, starting September 05.

No makeup quizzes will be given.

Two hour exams, given in class, on September 29 and November 10. No quizzes during weeks of hour exams.

Final exam: Thursday, December 14, 1:00-3:00pm, in BSB 250.

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 examination are responsible for discussing a makeup examination with me no later than November 30.

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.

Comments and questions

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.

Historical Information

Click here for a brief history of calculus, and below to learn more about some of our calculus heroes:

 Archimedes of Syracuse
 Jacob Bernoulli
 Johann Bernoulli
 Augstin Louis Cauchy
 René Descartes
 Leonhard Euler
 Pierre de Fermat
 Guillaume de l'Hopital
 Gottfried Wilhelm von Leibniz
 Sir Isaac Newton
 Brook Taylor


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