Math 447: Real Variables
Overview
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.
Syllabus
Prerequisites
Prerequisite: MATH 241 or equivalent; MATH 347 or MATH 348
Credit Hours:
3
Tuition
| Undergraduate Students | |
| Graduate Students | |
| Courseware Cost | None |
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.
Testing
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 refer to our Proctor Information page for further exam taking information.
Once registered, students can also find relevant exam taking information and all other course requirements within their Nexus student dashboard.
Course Options
Please Note:
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.
Instructor
Individual students enrolled in this course are assigned to a course instructor.
Course Timeline
Time in the course begins on the date your registration is processed. This course is 16 weeks long with the possibility of purchasing up to two 1-month extensions.
Students with course start dates on or after 1/1/2023:
Extension information is posted here. Extension applications must be made via the student Nexus Dashboard. Nexus access will be granted upon course registration.