# MAT 131, Spring 2004 Topics and Assignments

Week
Topics
Assignments
Jan 26

Introduction, Appendices A and B
Sec. 1.1: Four ways to represent a function
Sec. 1.2 Mathematical Models

Problem Set 1
due Feb 2 or 3, at recitation

Feb 2
App. C
Sec. 1.3: New functions from old functions
Sec. 1.5: Exponential functions
Sec. 1.6: Inverse functions and logarithms
Problem Set 2
due Feb 9/10, but check with your TA

Early Midterm Exam: Wednesday, February 11, 8:30 - 10:00 pm
Location:  see Announcements page
Topics: 1.1 through Section 1.6; Appendices A,B,C
Find your exam score: pay attention to the interpretation given below your score.

Feb 9
Sec. 2.1: The tangent and velocity problems
Sec. 2.2: The limit of a function
App. D: Precise definitions of limits
Problem Set 3
due Feb 18 or 19: New: No App. D problems
Feb 16
Sec. 2.3: Calculating limits using the limit laws
Sec. 2.4:  Continuity
Review
Problem Set 4
due Mon/Tues Feb 23/24

Midterm Examination I:   Tuesday, February 24, 8:30-10:00 pm
Grade Distribution:  see Announcements page
Topics through section 2.4 (inclusive)

Feb 23
Sec. 2.5: Limits involving infinity
Sec. 2.6: Tangents, velocities, and other rates of change
Problem Set 5
due Wed/Thurs March 3/4
Mar 1
Sec. 2.7: Derivatives
Sec. 2.8: The derivative as a function
Problem Set 6
due Wed/Thurs Mar 10/11
Mar 8
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 7
due Wed/Thurs March 17/18
Mar 15
Sec. 3.4: Derivatives of trigonometric functions
Sec. 3.5: The chain rule
Sec. 3.6: Implicit differentiation
Problem Set 8
due Tu/Wed Mar 24/25
Mar 22
Sec. 3.7: Derivatives of logarithmic functions
Sec. 3.8: Linear approximation and differentials
Review
No HW this week, due to exam. Next HW due after break

Midterm Examination II:  Monday, March 29, 8:30 -10:00 pm
Location:  See Announcements page
Topics from Section 2.4 through Section 3.8

Mar 29
Sec. 4.1: Related rates
Sec. 4.2:  Maximum and Minimum values
Problem Set 9
due April 14/15
Monday April 5 - Friday, April 9: Spring Break (no classes)
Apr x12
Sec. 4.2 Maximum and Minimum values
Sec. 4.3: Derivatives and the shapes of curves
Sec. 4.5: Indeterminate forms and L'Hospital's rule
Problem Set 10
due Wed/Thurs Apr 21/22
Apr 19
Sec. 4.6: Optimization problems
Sec. 4.9: Antiderivatives
Sec. 5.1: Areas and distances
Problem Set 11
due Mon/Tues, April 28/29
Apr 26
Sec. 5.2: The definite integral
Sec. 5.3: Evaluating definite integrals
Sec. 5.4: The Fundamental Theorem of Calculus
Problem Set 12
due Wed/Thurs May 5/6
May 3
Review
Friday, May 7: last class day

Final Examination:  Monday, May 17, 11:00am--1:30 pm

Location:  See Announcements page
Topics:  comprehensive