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MATH 447 E13 - Real Variables

Campus: Urbana-Champaign

Description:

Careful development of elementary real analysis for those who intend to take graduate courses in Mathematics. Topics include completeness property of the real number system; basic topological properties of n-dimensional space; convergence of numerical sequences and series of functions; properties of continuous functions; and basic theorems concerning differentiation and Riemann integration. Course Information: 3 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 447 and either Math 424 or MATH 444. 4 hours of credit requires approval of the instructor and completion of additional work of substance. Prerequisite: MATH 241 or equivalent; junior standing; MATH 347 or MATH 348, or equivalent experience; or consent of instructor.

Special Instructions:

During early registration, this class is restricted to majors specifically requiring the course. Restrictions will be removed during business hours on December 10, 2020. Students not already in those majors are welcome to register as soon as the restrictions have been removed. Some seats are reserved for off-campus transfer students in majors requiring this course. Any remaining seats would be released on the Friday before spring classes begin. Note: Attendance may be required at the scheduled meeting times.

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 3

Term(s): Spring


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