Week by Week Syllabus

The plan for the semester is below. It is tentative and subject to change.

Week Starting date SectionsRemarks
1 Aug. 30 5.1-5.4 Review of definition of integral and Fundamental Theorem. Spans 2 weeks for R6-R10
2 Sept. 13 5.5, 5.6, 5.7 Methods of integration: substitution, parts, partial fractions.
3 Sept 20 5.8, 5.9, 5.10 Integral tables. Approximate integration. Improper integrals
4 Sept. 27 6.1, 6.2 Computing areas and volumes
5 Oct. 4 6.3, 6.4, 6.5 Cylindrical shells. Arclength; average value; MIDTERM THIS WEEK
6 Oct. 11 6.6, 7.1 applications to physics and engineering., Modeling with differential equations
7 Oct. 18 7.2, 7.3 Line fields; Euler's method; Separable equations
8 Oct. 25 7.4, 7.5 exponential growth and decay; The logistic equation.
9 Nov. 1 7.6, App. I Predator-Prey systems; Complex numbers briefly. MIDTEM THID WEEK
10 Nov. 8 8.1, 8.2, 8.3 Sequences, series; convergence tests
11 Nov. 15 8.3, 8.4 More convergence tests
12 Nov. 22 8.5 Power series. No class Friday
13 Nov. 29 8.6, 8.7 Functions as power series; Taylor and MacLaurin series
14 Dec. 6 8.7, 8.8 Binomial series; applications of Taylor series. Classes end Dec. 10


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