Math 431 Spring 2018

Math 431: Advanced Calculus

Goals: This course will cover many of the topics you studied in your calculus courses (e.g., differentiation, integration, convergence), but from a rigorous point of view. You will probably not learn many new techniques, and proofs will replace straight calculation: the emphasis of the course is on the theoretical basis of calculus.
Text: Fundamental Ideas of Analysis by Michael Reed. We will be covering material from Chapters 1-6, together with a more detailed construction of the real numbers.
Professor: William Pardon
219 Physics
660-2838
wlp@math.duke.edu
Office Hours: Wednesday, 10-12, Thursday 11-1 and by appointment
Lectures: Wednesday, Friday, 8:30-9:45, Physics 119
Requirements: There will be a midterm exam, a final exam and weekly homework. Some problems from the homework will reappear on exams. There will also be at least one lengthy assignment which challenges you to write carefully constructed proofs. Your final letter grade will be based on these components weighted as follows: long assignment 20%, regular homework 15%, midterm exam 25%, final exam 40%. Please see the page of Policy Regarding Submitted Work and Missed Work.
Ethics: Students are expected to adhere to the Duke Community Standard.
Collaboration: You may (and are encouraged to) discuss issues raised by the class or the homework problems with your fellow students (and with me!) and both offer and receive advice. However all submitted homework must be written up individually without consulting anyone else's written solution. You will work alone on the long assignment and on the midterm and final exams.
Links: Policies Regarding Homework and Tests Syllabus



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