Math 34B
Course Outline
TEXT: "Calculus and Mathematical Reasoning for Social and Life Sciences" by Daryl Cooper.
Kendall/Hunt Publishing Co., 2000.
- Lec 01: Review of differential calculus -- ch. 8
- Lec 02: Signed area under the graph -- (5.3) 9.1
- Lec 03: The definite integral -- 9.2
- Lec 04: Indefinite integral, Fundamental theorem of calculus -- 9.3
- Lec 05: Integral as a sum, average of a function -- 9.4, 9.5
- Lec 06: FTC for definite integrals -- 9.6
- Lec 07: Word problems -- ch. 11
- Lec 08: Calculus review -- ch. 10
[exam 1]
- Lec 09: Sine wave -- 12.1
- Lec 10: The product rule -- 12.2
- Lec 11: 2nd derivative test, order of smallness -- 12.3, 12.4
- Lec 12: Growing/Damped oscillations, power series approximation -- 12.5, 12.6
- Lec 13: Differential equations, constants of integration -- 13.1, 13.2
- Lec 14: Growth/Decay equation -- 13.3
- Lec 15: Long time behavior, graphing solutions -- 13.4, 13.5
- Lec 16: Isoclines -- 13.6
- Lec 17: Exponential decay to a limiting value -- 13.7
- Lec 18: Logistic equation -- 13.8
- Lec 19: Review
[exam 2]
- Lec 20: Functions of two variables -- 15.0
- Lec 21: Planes -- 15.1
- Lec 22: Partial derivatives, tangent planes -- 15.2
- Lec 23: Tangent plane approximation -- 15.3
- Lec 24: Max/Min of a function of two variables -- 15.4
- Lec 25: Review of multivariate calculus -- ch. 15
- Lec 26: Overall review
- Lec 27:
[final exam]