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  Syllabus Mat 5151 Introductory Analysis 1

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Textbook: Introduction to Analysis, 2nd Edition, James Kirkwood, PWS Publishing Company, 1995. ISBN:0-534-94422-1

 Catalog Description. MATH 5151. Introduction to Real Analysis 1 (3-0-3) Prerequisite: MATH 2155. Topology of Euclidean spaces, sequences, limits of sequences, convergent sequences, monotone sequences, Cauchy sequences, limits of functions, continuous functions, the derivative, the mean value theorem, L'Hospitals's rule, and Taylor's theorem.

Note: Due to semester conversion, Mat 133 taken under the quarter system, will be allowed to substitute as a prerequisite. If you have taken calculus at other schools, the minimum prerequisite is knowledge of differential and integral calculus plus knowledge of convergence tests for sequences and series.

We should cover most all topics in the first five chapters of the text. Below is the table of contents.

· The Real Number System 4

· Sequences of Real Numbers 36

· Topology of the Real Numbers 60

· Continuous Functions 73

· Differentiation 104