Intro to Real Analysis
- Math 414 -- Spring 2006
- 11 MWF -- Carver 118
- Instructor: Sunder
Sethuraman
- Office: 430 Carver Hall
- Office Hours: 9 MWF, or by
appointment
- Telephone: (515) 294-8140
- E-Mail: sethuram@iastate.edu
- Primary text: Introduction
to Real Analysis, M. Stoll
- References: Introduction to
Analysis, M. Rosenlicht, and many others at same level
- Chapters Covered: Lots of
Ch. 1-6
- Homework: Weekly
assignments
- Exams:
- Two Midterms: Feb. 17
and Mar. 31, in class (tentative dates)
- Final: 9:45 –
11:45am, Tuesday, May 2
- Grades: 1/4 marks for HW,
two Midterms, and Final.
- Problems (word)
This course is an introduction to the theory of real numbers, sets, and
functions. The emphasis of the course is on writing proofs in the context of
this material. A rough list to be covered:
1. LUB property of real numbers, 2. Cardinality, 3. Metric spaces, 4.
Sequences, 5. Continuous functions, 6. Discontinuities, 7. Derivation, 8.
Riemann integral.