Math 447: Real Variables
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. Credit is not given for both MATH 447 and either MATH 424 or MATH 444.
Prerequisite: MATH 241 or equivalent; junior standing; MATH 347 or MATH 348
Students must be able to view assignments online, write out solutions, then scan or take photos of their written work and upload it to Moodle.
Students with a Bachelor's degree will be assessed graduate level tuition rate for this course. However, one cannot receive graduate level credit for courses numbered below 400 at the University of Illinois.
Exams: This course has three 90-minute midterm tests and a 3-hour final exam.
Proctorship Information: All exams in this course may be taken online. Please see our Proctor Information for further instructions.
Students currently registered in a University of Illinois Graduate Degree program will be restricted from registering in 16-week Academic Year-term NetMath courses. Matriculating UIUC Grad students will be allowed to register in Summer Session II NetMath courses.
This page has information regarding the self-paced, rolling enrollment course. If you are a UIUC student interested in taking a course during the summer, you may be interested in a Summer Session II course.
Individual students enrolled in this course are assigned to a course instructor.
Your time in the course begins on the date your registration is processed. This course is 16 weeks long with the possibility of purchasing an extension. Eligible students may purchase up to two 1-month extensions for $300 each. Click here for information about extensions for this course. Click here to apply for an extension.