# MAT 131, Spring 2002 Topics and Assignments

Week
Topics
Assignments
Jan 23

Introduction
Sec. 1.1: Four ways to represent a function
---
Jan 28
Sec. 1.2: Mathematical models
Sec. 1.3: New functions from old functions
Sec. 1.5: Exponential functions
Problem Set 1
due Feb 4 or 5

Early Midterm Exam: Wednesday, February 6, 8:30 - 10:00 pm
Location:  see Announcements page
Topics: 1.1 through Section 1.6; Appendices A,B,C
Review problems, Online practice exams
Scores

Feb 4
Sec. 1.6: Inverse functions and logarithms
Sec. 2.1: The tangent and velocity problems
Problem Set 2
due Feb 13 or Feb 14
Feb 11
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 3
due Tues Feb 19 or Wed Feb 20
Feb 18
Sec. 2.4:  Continuity
Sec. 2.5: Limits involving infinity
Problem Set 4
due Mon. Feb 25 or Tues. Feb 26
Feb 25
Sec. 2.6: Tangents, velocities, and other rates of change
Review
---

Midterm Examination I:  Monday, March 4, 8:30-10:00 pm
Location:  see Announcements page
Topics through section 2.6 (inclusive)
Sample Exams,

Mar 4
Sec. 2.7: Derivatives
Sec. 2.8: The derivative as a function
Problem Set 5
due Tues/Wed Mar 12/13
Mar 11
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 6
due Wed/Thurs March 20/21
Mar 18
Sec. 3.4: Derivatives of trigonometric functions
Sec. 3.5: The chain rule
Sec. 3.6: Implicit differentiation
Problem Set 7
due Tu/Wed Apr 2/3
Monday March 25 - Friday, March 29: Spring Break (no classes)
Apr 1
Sec. 3.7: Derivatives of logarithmic functions
Sec. 3.8: Linear approximation and differentials
Sec. 4.1: Related rates
Problem Set 8
due Wed/Thurs, Apr 10/11

Midterm Examination II:  Thursday, April 11, 8:30 -10:00 pm
Location:  See Announcements page
Topics through section 4.1
Sample Exam

Apr 8
Sec. 4.2:  Maximum and Minimum values
Review
---
Apr 15
Sec. 4.3: Derivatives and the shapes of curves
Sec. 4.5: Indeterminate forms and L'Hospital's rule
Sec. 4.6: Optimization problems
Problem Set 9
due Mon/Tues Apr 22/23
Apr 22
Sec. 4.9: Antiderivatives
Sec. 5.1: Areas and distances
Problem Set 10
due Mon/Tues, April 29/30
Apr 29
Sec. 5.2: The definite integral
Sec. 5.3: Evaluating definite integrals
Sec. 5.4: The Fundamental Theorem of Calculus
Problem Set 11
due Mon/Tues May 6/7
May 6
Review
Tuesday, May 7: last class day

Final Examination:  Friday, May 10, 2:00-4:30 pm
Extra Review Session: Thurs, May 9, 6-7:30pm, Math. Tower P-131, by Rares Rasdeaconu

Location:  See Announcements page
Topics:  comprehensive
Review Problems and Sample Exams