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Mathematics (MATH)
202 Fenton, 541-346-4705
College of Arts & Sciences
Course Data
  MATH 317   Fund of Analysis II 4.00 cr.
Rigorous treatment of topics introduced in calculus such as continuity, uniform convergence, power series, differentiation, and integration. Development of mathematical proof in these contexts. Sequence with MATH 316.
Grading Options: Optional; see degree guide or catalog for degree requirements
Instructor: Xu YE-mail Office:   228 UO Annex
Phone:   (541) 346-5619
See CRN for CommentsPrereqs/Comments: Prereq: MATH 316.
Course Materials
 
  CRN Avail Max Time Day Location Instructor Notes
  24045 27 36 1200-1250 mwf 233 TYKE Xu Y !

Final Exam:

1015-1215 f 3/18 233 TYKE
Academic Deadlines
Deadline     Last day to:
January 2:   Process a complete drop (100% refund, no W recorded)
January 8:   Drop this course (100% refund, no W recorded; after this date, W's are recorded)
January 8:   Process a complete drop (90% refund, no W recorded; after this date, W's are recorded)
January 9:   Process a complete withdrawal (90% refund, W recorded)
January 9:   Withdraw from this course (100% refund, W recorded)
January 10:   Add this course
January 10:   Last day to change to or from audit
January 16:   Process a complete withdrawal (75% refund, W recorded)
January 16:   Withdraw from this course (75% refund, W recorded)
January 23:   Process a complete withdrawal (50% refund, W recorded)
January 23:   Withdraw from this course (50% refund, W recorded)
January 30:   Process a complete withdrawal (25% refund, W recorded)
January 30:   Withdraw from this course (25% refund, W recorded)
February 20:   Withdraw from this course (0% refund, W recorded)
March 13:   Change grading option for this course
Caution You can't drop your last class using the "Add/Drop" menu in DuckWeb. Go to the “Completely Withdraw from Term/University” link to begin the complete withdrawal process. If you need assistance with a complete drop or a complete withdrawal, please contact the Office of Academic Advising, 101 Oregon Hall, 541-346-3211 (8 a.m. to 5 p.m., Monday through Friday). If you are attempting to completely withdraw after business hours, and have difficulty, please contact the Office of Academic Advising the next business day.

Expanded Course Description
This is the beginning of a huge subject called real analysis, also called function theory. In high school mathematics one learns a few basic functions (polynomials, exponentials, logarithms, trigonometric functions...) but this is only the tip of an iceberg. There are lots of other important functions even in applications of mathematics to the sciences that cannot be written down except by using a limiting process. Analysis is the study of such functions, which can turn out to be far more complicated than anyone first imagines.

MATH 317 focuses on techniques for making new functions out of old ones via limiting processes. When a new function is made in this way one needs to answer basic questions like: Is it continuous? Does it have a derivative? What happens when we integrate it? We will learn the main results that allow us to answer such questions. Along the way we will see rigorous treatments of differentiation and integration, as well as many examples of really crazy functions one can create out of very simple processes. The culmination of the course is a completely rigorous treatment of exponential and logarithm functions.

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Release: 8.11