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Real Analysis I Fall 2010 | |||
| Contact Information | Important Dates | ||
| Professor: | Dr. Scott Nollet | Exam 1 | Tuesday, October 5 |
| Office: | 310 TTC | ||
| Office Hours: | MTRF 3:00pm-6:00pm or by appointment. |
Exam 2 | Tuesday, November 16 |
| Office Phone: | 257-6339 | ||
| Home Phone: | 920-7988 | ||
| E-mail: | s.nollet@tcu.edu | ||
| Class Hours: | TR 6:00pm-7:20pm, 245 TTC | Final Exam | Tuesday,
December 14 6:00pm-7:20pm |
| Pre-requisite: | Calculus III and Linear Algebra | ||
| Text: Understanding Analysis by Stephen Abbott (Springer-Verlag). |
| Topics: The real numbers and their properties, sequences and convergence, topology of the real numbers, continuity, limits of functions, differentiation, integration. |
| Course Goals:There are at least two main objectives for this course. |
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1. Learning the definitions and results listed in the topics above.
2. Perhaps more important is the development of skills enabling the student to learn more mathematics - careful reasoning and the ability to write convincing mathematical arguments (proofs). |
| 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). |
| Graduate Component: According to TCU policy, courses involving both undergraduate and graduate students must carry additional work for the graduate students. Therefore I will occasionally assign extra homework or projects relevant to future graduate work or qualifying exams. Extra homework will be denoted by an asterisk linking to additional homework problems. The exams may also be somewhat different on a few problems. |
| 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 # | Section | Date Due | ||
| 1 | 1.2 | #1,2cde,3 | 8/26 | |
| 2 | 1.2-3 | 1.2 # 2ab,5,6,7; 1.3 # 1,6 | 8/31 | |
| 3 | 1.3 | # 4,7,9 | 9/2 | |
| 4 | 1.4 | # 2,3,4 | 9/7 | |
| 5 | 1.4-5 | 1.4 #9,10,*, 1.5 #6,7,8(b), 2.1 #1 | 9/14 | |
| 6 | 2.2 | #2,5,8 | 9/16 | |
| 7 | 2.3 | #2,3,6,8abce | 9/21 | |
| 8 | 2.4 | #2,4 | 9/23 | |
| 9 | 2.4-5 | 2.4 #6abc, 2.5 #3,4,5 | 9/28 | |
| 10 | 2.6 | #1,2,4,5a | 9/30 | |
| 11 | 2.7 | #1c,4,5a,9 | 10/14 | |
| 12 | 3.2 | #2,3,5,6,7 | 10/19 | |
| 13 | 3.2 | #10,12 | 10/21 | |
| 14 | 3.3 | #2,3,4,5,7 | 10/26 | |
| 15 | 3.3, 4.2 | 3.3 #9, 4.2 #1abd | 10/28 | |
| 16 | 4.2 | #1c,3,5 (second part of (c) is extra credit),8,9 | 11/2 | |
| 17 | 4.3 | #2,4b,7,8 | 11/4 | |
| 18 | 4.4 | #1,4,6,9,11 | 11/9 | |
| 19 | 4.5 | #2,3,7 | 11/11 | |
| 20 | 5.2 | #2,4,5ab | 11/18 | |
| 21 | 5.3 | #5.3.1 ,5.3.3ab, 5.3.5 (and 5.2.5ab if you didn't turn it in already) | 11/23 | |
| 22 | 7.2 | #1,2,3 | 12/2 | |
| 23 | 7.2-4 | 7.2 #4bc,6; 7.3 #1,5; 7.4 #4 | 12/7 | |