MTH265: Functions of a real variable

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Cross Listed:
Offered:
Fall
Prerequisites:
MTH163 or MTH164 or MTH165 or MTH200 or MTH174
This course is a prerequisite or co-requisite for:
All mathematics majors MTH266 (real analysis 2) MTH275 (functional analysis) MTH471 (Measure and Integration)
Description:
Prepares students for graduate courses in analysis. This subject matter is central to any modern use of mathematics beyond routine calculation. This course and MTH236 (abstract algebra) are the core courses of any mathematics major. It may also be very useful for those planning graduate work in statistics, operations research, mathematical economics and business.
Topics covered:
Real number system, uniform continuity, mean value theorems, bounded variation, Riemann-Stieltjes integral, sequences of functions.
Related courses:
MTH266