Topics in Calculus and Analysis
01/26/2004 - 05/08/2004
Wednesday 07:00 PM - 09:30 PM
Science Tower 139
In this course, we will develop the basic ideas of calculus: limits, the integral and the derivative. As time permits, we will discuss such more advanced topics as Taylor series and Fourier series and applications to physics and geometry. The treatment will emphasize the underlying concepts rather than computational methods, and so the course will enable students to appreciate the logic framework of the subject and understand precise formulations and proofs of important theorems.
We will read the classic text, INTRODUCTION TO CALCULUS AND ANALYSIS, by R. Courant and F. John, now published by Springer.
There will be regular homework and written exams. Active class participation is expected.
This course is suitable for students who are new to the study of calculus as well as those who already have some experience with the subject. Students are expected to have a good background in basic algebra and analytic geometry.
Adam Fieldsteel (A.B. Brown University; Ph.D. University of California, Berkeley) is professor of mathematics. His research focuses on ergodic theory and topological dynamics, and his recent publications include: (with A. Blokh), "Sets that force recurrence," Proceedings of the American Mathematical Society (2002); (with K. Dajani), "Equipartition of interval partitions and an application to number theory," Proceedings of the American Mathematical Society (2001); (with R. Hasfura), "Dyadic equivalence to completely positive entropy," Transactions of the American Mathematical Society (1998). Click here for more information about Adam Fieldsteel.
Consent of Instructor Required: No
|Level: GLSP||Credits: 3||Enrollment Limit: 18|
Texts to purchase for this course:
R. Courant & F. John, INTRODUCTION TO CALCULUS AND ANALYSIS, VOLUME I (Springer) Paperback
READING MATERIALS AVAILABLE AT BROAD STREET BOOKS, 45 BROAD STREET, MIDDLETOWN, 860-685-7323
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