MTH 265, Functions of a real variable
Note: If this course is being taught this semester, more information can be found at the course home page.
MTH164 and MTH235, or MTH164 and MTH200, or MTH174Q
This course is a prerequisite or co-requisite for
All mathematics majors MTH266 (real analysis 2) MTH275 (functional analysis) MTH471 (Measure and Integration)
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.
Real number system, uniform continuity, mean value theorems, bounded variation, Riemann-Stieltjes integral, sequences of functions.