syllabus - Analysis II (Math 318) Spring 2011 1...

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Unformatted text preview: Analysis II (Math 318) Spring 2011 1 Technicalities Instructor: Clay Shonkwiler ( ) Office: KINSC H210 (phone: 795.3367) Course web page: Texts: Understanding Analysis , by Stephen Abbott and An Introduction to Lebesgue Integration and Fourier Series , by Howard J. Wilcox and David L. Myers Office Hours: Monday 1:303:00, Wednesday 9:3010:30, 3:005:00, Thursday 1:003:00, Friday 1:002:00. Also, the Math Question Center is open SundayThursday from 7:009:00 in KINSC H011; this is a good place to discuss questions with other students, supervised by faculty. 2 Summary of the Course The goal of this course is to deepen our understanding of real-valued functions, to deal with some of the unresolved problems with the Riemann integral, and to develop the theory that underpins much of the modern study of differential equations, harmonic analysis, and quantum mechanics. We will try to make sense of the following questions, among others: How can we make sense of infinite series of functions? Why is this a useful thing to attempt? What can be done to correct the shortcomings of the Riemann integral? Can we find a sense in which the Dirichlet function is integrable? In solving differential equations, its often essential to relax our notions of what a function ishow can these generalized functions be made rigorous, and what does this have to do with signal processing? 3 Homework There will be weekly homework assignments, typically due Thursday at 5:00. Homework is an important part of any math class, as it is impossible to learn mathematics without actually doing mathematics. The goal of the assignments is to deepen your understanding of the concepts, tools and techniques discussed in class, as well as to give you the opportunity to practice explaining your mathematical thinking. The importance of effective communication is vital: knowledge without the ability to communicate that knowledge is of limited value. As such, to get full credit on a problemability to communicate that knowledge is of limited value....
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This note was uploaded on 08/20/2011 for the course MATH 318 taught by Professor Staff during the Spring '08 term at Haverford.

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syllabus - Analysis II (Math 318) Spring 2011 1...

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