MATH 447 XGR - Real Variables

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:

This course is available to undergrads as an online Academic Year term offering. See https://netmath.illinois.edu/college/math-447.XGR Section restricted to Engineering Online graduate degree-seeking students in MSAE, MSCE, MCS, MSIE, and MSME. For more details on this course section, see https://grainger.illinois.edu/academics/online/courses. Restriction(s): Restricted to MS: Civil Engr - Online - UIUC, MCS:Computer Sci Online -UIUC, MS:Industrial Engr Online-UIUC, MS:Mechanical Engineering -UIUC, MS:Env Engr CivilEngr ONL-UIUC, MS: Aerospace Engr-Online-UIUC, MENG:Engr:Energy Sys Onl-UIUC, NDEG:Grad Nondegree-CE-UIUC, MENG:Mech Engineering Onl-UIUC, MENG:Engr:AeroSys Online- UIUC, or MENG:Engr:Plasma Online-UIUC.

Academic Program Restrictions:

MS:Env Engr CivilEngr ONL-UIUC

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 3

Term(s): Summer