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Math 208 Sequences and Series

Sequences and Series

COURSE GOALS/OBJECTIVES:

A course in the techniques of working with infinite sequences and series. It is intended for math and science majors. The course includes Limits of sequences, subsequences, series, alternating series, absolute and conditional convergence, power series, Taylor and Maclaurin series, Fourier series, applications.

A graphing calculator is required.

Prerequisite: Math 200 or equivalent with a grade of "C" or better.



COURSE CONTENT:

8.1 Limits of Sequences of Numbers

8.2 Subsequences, Bounded Sequences, and Picard's Method

8.3 Infinite Series

8.4 Series of Nonnegative Terms

8.5 Alternating Series, Absolute and Conditional Convergence

8.6 Power Series

8.7 Taylor and Maclaurin Series

8.8 Applications of Power Series

8.9 Fourier Series

8.10 Fourier Series and Sine and Cosine Series



REQUIRED EVALUATION METHODS:
Written exams, homework, class participation, group participation
Course may include some projects.

TEXT BOOKS:
Thomas, Finney, Weir, and Giordano.
Chapter 8 Supplement from Calculus, 10th. Edition. 2001


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