Real Analysis I
Fall 2009
Contact Information Important Dates
Professor:Dr. Scott Nollet Exam 1Friday, September 25
Office:310 TTC
Office Hours: MWRF 3:00pm-5:00pm, or by appointment. Exam 2Friday, November 13
Office Phone:257-6339
Home Phone:920-7988
E-mail:s.nollet@tcu.edu
Class Hours: MWF 11:00-11:50pm, 245 TTC Final ExamFriday, December 18
11:30-2:00pm
Pre-requisite:Calculus III and Linear Algebra
Text: The text is A first course in real analysis (4th edition) by S. Berberian (Springer-Verlag).
Topics: The real numbers and their properties, sequences and convergence, topology of the real numbers, continuity, limits of functions, differentiation, integration..
Grades: Grades will be based on Homework and possible quizzes (30%), two Exams (20% each) with tentative dates listed above, and the Final Exam (30%). I will regularly assign homework and encourage you to discuss it with your classmates, but you should not show other students your actual written work (this can lead to mindless copying).
Course Website: I will maintain this website for our course; it will contain homework assignments, solutions, and other useful information. The address is www.math.tcu.edu/math/faculty/Nollet/courses/real1.html.
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Homework Assignments
HW #SectionProblemsDate Due
1 1.1-1.2 A, B, 1.2 # 1,6,7,10,13,18,20 Friday, 9/4
2 1.3-4,2.1 1.3 # 1,3,4; 1.4 # 1,2,5; 2.1 # 5,6; C Friday, 9/11
3 2.2-2.4 2.2 # 2,3; 2.3 # 1,2; 2.4 # 2,3 Friday, 9/18
4 2.5-2.9 2.5 # 2,5,6; 2.6 #3; 2.7 #D, 5; 2.9 #1,2,4 Friday, 9/25
53.1-2 3.1 # 1,2,6; 3.2 # 2 Wednesday, 9/30
6 3.3 3.3 # 1,3,5 Friday, 10/2
7 3.4-3.5 3.4 # 5,7,9,14; 3.5 # 1,4,5 Friday, 10/9
8-10 3.6 # 1,2 Friday, 10/16
9 3.7 # 1,6 (i,v), E Monday, 10/19
10 4.1 #2, 5 Friday, 10/23
11-12 4.2 #2,6 Monday, 10/26
12 4.3 #2,4,6,7 Friday, 10/30
13-15 4.5 #1,2(i)-(iv) Wednesday, 11/4
14 5.2-5.3 5.2 # 1,3; 5.3 # 1,2 Wednesday, 11/11
15 5.4 # 1,10 Friday, 11/13
16 6.1 # 2,3 Monday, 11/16