MAT 139 -- Syllabus

MAT 139 - Calculus for the Social Sciences - Fall 2008

Week 1: 9/2 -- 9/5

1.1 Functions.
1.2 The graph of a function.

Week 2: 9/8 -- 9/12

1.3 Linear functions.
1.4 Functional Models.
1.5 Limits.

Week 3: 9/15 -- 9/19

1.6 One-sided limits and continuity.
2.1 The derivative.

Week 4: 9/22 -- 9/26

2.2 Techniques of differentiation.
2.3 Product and quotient rules; Higher-order derivatives.

Week 5: 9/29 -- 10/3

2.4 The chain rule.
2.5 Marginal analysis and approximations using increments.

Week 6: 10/6 -- 10/10

2.6 Implicit differentiation and related rates.

Week 7: 10/13 -- 10/17

Review
Exam I

Week 8: 10/20 -- 10/24

3.1 Increasing and decreasing functions; Relative extrema.
3.2 Concavity and points of inflection.
3.3 Curve sketching.

Week 9: 10/27 -- 10/31

3.4 Optimization.
3.5 Additional applied optimization.

Week 10: 11/3 -- 11/7

4.1 Exponential functions.
4.2 Logarithmic functions.
4.3 Differentiation of logarithmic and exponential functions.

Week 11: 11/10 -- 11/14

Week 12: 11/17 -- 11/21

4.4 Additional exponenential models
Review
Exam II

Week 13: 11/24 -- 11/28 (Thanksgiving holiday begins on 11/26.)

5.1 Antidifferentiation: the indefinite integral.

Week 14: 12/1 -- 12/5

5.2 Integration by substitution.
5.3 The definite integral and the fundamental theorem of calculus.
5.4 Applying definite integration: area between curves and average value.

Week 15: 12/8 -- 12/12

5.5 Additional applications to Business and Economics.
6.1 Integration by Parts
Review for Final

Week 16: 12/15 -- 12/19 (Final exams)