Math 205A. Real Analysis (Fall 2015)
Course Code: 45000
Room: RH 306
Day & time: M Tu W Th F 10:00am to 10:50am
Final Exam: Tuesday, December 8, 12-2 pm
Instructor: Anton Gorodetski
Email: asgor(at)math.uci.edu
Phone: (949) 824-1381
Office Location: 510G Rowland Hall
Office Hours: TBA
Teaching Assistant: Yuki Takahashi
Required text: N. L. Carothers, "Real Analysis".
Recommended texts: W. Rudin, "Principles of Mathematical Analysis", T. Apostol, "Mathematical Analysis",
Homework 1 (due Friday, October 9 in class) : Chapter 1, problems 4, 10, 20, 23, 31, 33, 37, 45, 47, 50.
Homework 2 (due Friday, October 16 in class) : Chapter 2, problems 3, 8, 13, 15, 16, 18, 21, 22, 31, 34.
Homework 3 (due Friday, October 23 in class) : Chapter 3, problems 1, 4, 5, 8, 10, 11, 19, 20, 34, 46.
Homework 4 (due Friday, October 30 in class) : Chapter 4, problems 8, 41, 46, 59, 69; Chapter 5, problems 15, 16, 31, 38; Chapter 6, problem 5.
Homework 5 (due Friday, November 6 in class); Chapter 6, problems 9, 11, 12, 24, 26; Chapter 7, problems 6, 18, 29, 30, 43.
Homework 6 (due Friday, November 20 in class); Chapter 7, problems 34, 35, 42, 50, 51; Chapter 8, problems 5, 16, 29, 31, 33.
Homework 7 (due Thursday, December 3 in class); Chapter 8, problems 40, 41, 48, 54, 64, 80; Chapter 9, problems 21, 27, 35, 37.
Interactive Real Analysis (by Bert G. Wachsmuth)
Analysis WebNotes (by John Lindsay Orr)
A First Analysis Course (by John O'Connor)