MAT 131, Spring 2003
Topics and Assignments, revised April 16th

Exam solutions will become available after the assignment due date/exam.

Note that the exact schedule may change a bit over the course of the semester.. The most up-to-date version, complete with homework problems, etc, can always be found here, on the web.

Week

Topics

Assignments

Problems

Jan 22



Introduction
Appendix A: Intervals, inequalities and absolute values
Appendix B: Coordinate geometry
Sec. 1.1: Four ways to represent a function

Problem Set 1
due Jan 27 or 28

App A: # 2,14,17,33,36,40
App B: # 4,12,14,16,20,26,41
1.1: # 2,5,6,7,8,9,19,24,26,34,42,54

Jan 27

Sec. 1.2: Mathematical models
Sec. 1.3: New functions from old functions
Appendix C: Trigonometry

Problem Set 2
due Feb 3 or 4

1.2: # 2,3,4,10
1.3: # 3,4,10,12,15,23,36,42,48,52
App C: # 1,3,9,15,29,37

Feb 3

Sec. 1.5: Exponential functions
Sec. 1.6: Inverse functions and logarithms
Sec. 2.1: The tangent and velocity problems

Problem Set 3
due Feb 10 or 11

1.5: # 7,8,13,15,18
1.6: # 5,6,7,8,10,17, 23, 24, 26, 36, 38,47,50,57
2.1: # 1,4,5,6,8

Early Exam: Wed Feb 5, 8:30 - 10:00 pm
Review problems, Online practice exams

Feb 10

Sec. 2.2: The limit of a function
App. D: Precise definitions of limits
Sec. 2.3: Calculating limits using the limit laws

Problem Set 4
due Feb 17 or 18

2.2: # 1,2,3,4,6,10,11,14
2.3: # 2, 4, 8, 9, 10, 11, 12, 14, 16, 17, 29, 33

(Optional) App D: # 1, 4, 7, 8, 15, 18, 19
 

Feb 17

Sec. 2.4:  Continuity
Snow!

 

Problem Set 5
due Feb 24 or 25

2.4: # 3, 4, 5, 6, 13, 14, 15, 16, 18, 26, 31, 33, 36, 39
 

Feb 24

Sec. 2.5: Limits involving infinity


Review

Problem Set 6
due March 3 or 4

2.5: # 3,4, 5, 6, 14 , 16, 20, 23, 25, 28, 31, 35, 39

 

Midterm Examination I:  Thursday, Feb 27, 8:30-10:00 pm

Topics 2.1, 2.2, 2.3, 2.4

Javits 100

March 3

Sec. 2.6: Tangents, velocities, and other rates of change

Sec. 2.7: Derivatives
Sec. 2.8: The derivative as a function

Problem Set 7
due March 10 or 11

2.6: # 1,2,8,10,12, 13, 16,18

2.7: # 3,4,6,14,15,18,19, 20, 31, 35
2.8: # 2,4,8,9, 11,12,16,20,23,32,45

March 10

Sec. 2.10: What does f' say about f?
Sec. 3.1: Derivatives of polynomials and exponentials
Sec. 3.2: The product and quotient rules

Problem Set 8
due March 24 or 25

2.10: # 2,5,7,12,19,24,25
3.1: # 2, 4, 6, 9, 12, 17, 20, 38, 42, 45, 46, 53,57
3.2: # 4,6,12,19,20,32,36

 

 

 

 

March 17 - 23 Spring Break

March 24

Sec. 3.4: Derivatives of trigonometric functions
Sec. 3.5: The chain rule

Problem Set 9
due March 31 or April 1

3.4: # 1,2,3,7,8,18,26,27,33,38
3.5: # 1,4, 6, 8, 10, 12, 16, 20, 24, 26, 28, 38 ,50

March 31

Sec. 3.6: Implicit differentiation
Sec. 3.7: Derivatives of logarithmic functions

Problem Set 10
due April 7 or 8

3.6: # 2,4,10,14,16,28,30, 32, 34, 38,50
3.7: # 2,4,6,8,18,23,28,31,32
 

April 7

Sec. 3.8: Linear approximation and differentials

Problem Set 11
due April 14 or 15

3.8: # 2,3,12,16,19,20
 

April 14

Review

 

 

 

 

 

 

Midterm Examination II:  Tuesday, April 15, 8:30 -10:00 pm,

                                     Review exercises

April 16-April 19 Passover, no classes

April 21

Sec. 4.2:  Maximum and minimum values

Sec. 4.3: Derivatives and the shapes of curves

Sec. 4.6: Optimization problems

 

Problem Set 12
due April 28 or 29

4.2: # 4, 6, 8 ,22, 24, 28, 33, 35, 36, 40, 44, 52

4.3: # 2, 6, 8,11, 16,18, 26, 42,45,46

4.6: # 2,6,11,21, 25, 26,,40, 42
 

April 28

Sec. 4.9: Antiderivatives

Sec. 5.1: Areas and distances

Sec. 5.2: The definite integral
Sec. 5.3: Evaluating definite integrals

Problem Set 13
due May 5 or 6

4.9: # 4,8, 10, 14, 20, 24, 36, 38

5.1: # 2,4,16,18

5.2: # 4, 6, 29, 30, 32, 41
5.3: # 10, 13,14, 18 ,23, 29, 30 ,52
 

May 5

 

Review






 

 

 

 

Last class meeting: May 9

Final Examination:  Friday May 16, 2:00 - 4:30 pm