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Unformatted text preview: MAT 472: INTERMEDIATE REAL ANALYSIS FALL 2005 Instructor: S. Kaliszewski Time: 10:4011:55 TTh / 3:154:30 TTh Location: ARCH 321 / EDB 212 Line Number: 52462 / 49027 Credits: 3 Prerequisites: MAT 300 (Mathematical Structures) and MAT 342 (Linear Algebra), or equivalents. Text: Rosenlicht [2] Course Description. Hhis course covers the fundamentals of analysis in metric spaces, with emphasis on the real line. Among the most important topics are continuity, compact ness, uniform continuity, uniform convergence, and differentiation and Riemann integration of functions of one real variable. Advanced topics may include, but are not limited to: the Baire Category Theorem, the Weierstrass Approximation Theorem, and the ArzelaAscoli Theorem. One of the primary functions of this course is to prepare students for graduatelevel real analysis (MAT 570). The course also serves as preparation for the first half of the depart ments graduate qualifying exam in Real Analysis. MAT 371 (Advanced Calculus) is strongly recommended as preparation for MAT 472, although it is not a formal prerequisite. Many students find MAT 371 useful as an intro duction to both the subject matter of MAT 472, and to the process of reading mathematics and constructing proofs. References [1] Edward D. Gaughan, Introduction to analysis , 4th ed., Brooks/Cole Publishing Co., Pacific Grove, CA, 1993.MR1226448 [2] Maxwell Rosenlicht, Introduction to analysis , Dover Publications Inc., New York, 1986. Reprint of the 1968 edition.MR851984 (87g:26001) [3] Walter Rudin, Principles of mathematical analysis , 3rd ed., McGrawHill Book Co., New York, 1976....
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 Spring '06
 Spielberg
 Linear Algebra, Algebra, Sets

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