General Information

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

Instructor: Matthias Aschenbrenner
E-mail address: 
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.

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Course Outline

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

 Click here to download the course information handout.

Assignments

Responsibilities- mine and yours

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

    Your Name
    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.

Date     Section(s)         Problems/Comments

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

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.

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

Comments and Questions

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Answers to Questions

Last modified 11/28/05.