Mathematics 305/605-01 - Real Analysis I
Instructor: John Liukkonen
Office: 405 Gibson Hall
Telephone: 862-3440
E-mail: jrl@math.tulane.edu
Course Description
This course will go carefully over
material from first year calculus. The student will learn some new
material, especially in the areas of sequences and series of numbers,
and sequences and series of functions. This latter material is
important in more advanced courses, both pure and applied. At the
same time, and more importantly, students will develop theoretical
skills--how to give careful and convincing proofs of key facts in
calculus. These theoretical skills are essential to more advanced
math courses such as topology and advanced analysis.
Prerequisites
Course Materials
- Textbook: Ross, Elementary Analysis: The Theory of Calculus
Grading Scheme
- Final Exam 35%
- Homework 25%
- Tests 20% each
Final Exam:
- Saturday December 16 from 1 to 5 PM.
Tests:
- Wednesday, October 18 Coverage: through section 15
- Wednesday, November 15
Homework:
The homework will come from the list below.
- Sec. 1: 1, 3
- Sec. 2: 1, 5
- Sec. 3: 1, 5
- Sec. 4: 1, 2, 3, 4, 7
- Sec. 5: 1
- Sec. 7: 3, 5
- Sec. 8: 1, 2, 7, 8 [due 9/27]
- Sec. 9: 16, 18 [due 9/27]
- Sec. 10: 1, 6, 10 [due 9/27]
- Sec. 11: 1, 2 [due 10/4]
- Sec. 12: 4, 12 [due 10/4]
- Sec 13: 5, 9, 10 [due 10/4]
- Sec. 14: 1, 2, 3, 7, 14 [due 10/11]
- Sec. 15: 1, 2, 4 [due 10/11]
- Sec. 16: 7 [skip this problem]
- Sec. 17: 1, 2, 3, 4, 9, 10 [due 10/25]
- Sec. 18: 4, 6, 7, 9 [due 10/25]
- Sec. 19: 1, 2, 3, 5, 8 [due 11/1]
- Sec. 20: 1, 13 [due 11/1]
- Sec. 23: 1, 2 [due 11/1]
- Sec. 24: 1, 2, 6 [due 11/8]
- Sec. 25: 3, 7, 8, 9 [due 11/8]
- Sec. 26: 1, 2, 4, 5 [due 11/8]
- Sec. 28: 1, 2, 6, 7 [due 11/15 or before Thanksgiving]
- Sec. 29: 1ace, 2, 3, 9 [due 11/15 or before Thanksgiving]
- Sec. 30: 2, 3, 5 [due 11/15 or before Thanksgiving]
- Sec. 31: 1, 2, 5 [due 11/29]
- Sec. 32: 1, 2 [due 11/29]
- Sec. 33: 5, 14 [due 12/6]
- Sec. 34: 2, 3, 5, 6 [due 12/6]