Textbook:
Real Analysis, by E. M. Stein and R. Shakarchi
Secondary References:
- Real Analysis, by G. B. Folland
- An introduction to measure theory, by Terrence Tao
Description: The
aim of the course is to give an introduction to graduate level
Real Analysis and to some of its applications.
We plan to discuss material from the first 4-6 chapters of the
textbook in a relaxed manner. We may watch some additional
instructional videos.
Topics may include but may not be limited to:
- Measure and Integration theory on Euclidean spaces
- Hilbert spaces: theory and examples
- Abstract measure theory and ergodic theory
- Hausdorff measures and Fractals
- Fourier analysis
Exams: There will be one
Midterm Exam scheduled on
Tuesday, October 20th, and one Final Exam
scheduled on
Tuesday, December 14th.
Exams will be open book and done online. Scheduled dates of Exams
are flexible.
Homeworks: Homeworks will be assigned bi-weekly and there
will be two weeks given to complete them.
We will leave time to discuss questions about the Homework
assignments during the Lectures and the Office Hours.
Grades: Homeworks: 20%
Midterm: 30%
Final: 50%
Grading Scale: A: 88-100
A-: 85-87
B+: 81-84
B: 76-80
B-: 72-75
C+: 68-71
C: 62-67
C-: 58-61
D: 56-60
F: 0-55
Note: All materials will be uploaded on the Course
page for Math 8100 I Real Analysis on UGA ELC.