Advanced Analysis II
(MATH 412)
Offered Spring only
SPRING 2009
Time and Place: TR 12:30-1:45 pm, Room 315 Haag Hall
Professor: Richard Delaware
Office Hours: See Current Semester Office Hours
Office: Room 306 A, Manheim Hall
Mailbox: Room 206, Haag Hall, Dept. of Mathematics & Statistics
Phone: 816.235.2850
Email: delawarer@umkc.edu
GO TO Richard Delaware Home Page
GO TO Mathematics and Statistics Home Page
Dated Announcements (Most recent at the top)
BACK to Top of Page
Syllabus, Texts, Grading
PREREQUISITE:
- The prerequisite for this course is Math 402 (Advanced Analysis I), or consent of the instructor.
TEXTS:
- Required: ELEMENTARY REAL ANALYSIS, 2nd Edition, by Andrew M. Bruckner, Judith Bruckner, Brian S. Thomson.
- In the text, we will cover most of Chapters 6 and 9-13.
EXAMS:
- There will be three 75 min. Exams (100 points each) during the semester, each given a letter grade for your convenience.
- There may be some announced 20-25 min. Quizzes.
- The FINAL EXAM (150 points) will be held in our usual classroom, 10:30 am - 12:30 pm, on WED. May 6, 2009.
HOMEWORK:
- A list of suggested homework problems will be posted here. Selected problems will be collected and graded.
- For homework use only one side of standard 8½ x 11 paper. When due, put it on my desk at the start of class.
- Late assignments of any kind are NOT accepted, except by prior arrangement.
GRADES:
- 70% -- 3 Exams (100 pts each) and Final Exam (150 pts)
- 30% -- Homework and Quizzes
- I use grading software to provide grade reports. At the end of the semester before the Final Exam is recorded, I will drop your "most damaging" score. However, the Final Exam cannot be dropped.
NOTES:
- You will be proving many theorems in this course. So, you must discuss proofs with your classmates and me if you are to do well.
- You will not be able to do every suggested problem. But to succeed, you must try a good number.
BACK to Top of Page
Suggested Homework Problems [Subject to change]
Chapter 6
- 6.2: 6.2.2, 6.2.7, 6.2.10
- 6.3: 6.3.1, 6.3.2, 6.3.8
- 6.4: 6.4.1, 6.4.2, 6.4.4
- 6.5.1: 6.5.1, 6.5.4
- 6.5.2: 6.5.7, 6.5.9, 6.5.10
- 6.5.3: 6.5.11
- 6.6.1: 6.6.1
- 6.6.2: 6.6.4, 6.6.5, 6.6.6
- 6.7.1: 6.7.4
- 6.7.2: SKIP
- 6.8: 6.8.1, 6.8.2, 6.8.3, 6.8.4, 6.8.8, 6.8.9, 6.8.12
Chapter 9
- 9.2: 9.2.1, 9.2.2, 9.2.3, 9.2.4, 9.2.5, 9.2.7, 9.2.8, 9.2.9
- 9.3: 9.3.1, 9.3.2, 9.3.5, 9.3.8, 9.3.9, 9.3.10, 9.3.18, 9.3.20, 9.3.21, 9.3.22, 9.3.24
- 9.4: 9.4.1, 9.4.2, 9.4.6
- 9.5: 9.5.1, 9.5.4, 9.5.8, 9.5.10
- 9.6: 9.6.2
- 9.7, SKIP
- 9.8, SKIP
Chapter 10
- 10.2: 10.2.1, 10.2.2, 10.2.5
- 10.4.4: 10.4.1, 10.4.6
- 10.5.2: 10.5.4, 10.5.6
- 10.8.2: 10.8.3
- 10.8.4: 10.8.9, 10.8.10
Chapter 11
- 11.1: 11.1.1, 11.1.2, 11.1.3
- 11.2: 11.2.2, 11.2.4, 11.2.5, 11.2.6, 11.2.7, 11.2.8
- 11.3: 11.3.1, 11.3.5, 11.3.6, 11.3.7, 11.3.8
- 11.4: 11.4.1, 11.4.6
- 11.5.1: 11.5.3
- 11.6.2: 11.6.5
- 11.7: 11.7.10
- 11.9: 11.9.3
Chapter 12
- 12.2.1: 12.2.4
- 12.2.2: 12.2.7
- 12.2.3: 12.2.8, 12.2.10, 12.2.11
- 12.3: 12.3.2, 12.3.4
- 12.4.2: 12.4.2
- 12.4.3: 12.4.6
- 12.4.4: 12.4.13
Chapter 13
- 13.1: 13.1.1, 13.1.2, 13.1.3, 13.1.5, 13.1.6, 13.1.7.
- 13.2: 13.2.1, 13.2.2, 13.2.3, 13.2.5, 13.2.7, 13.2.8, 13.2.10.
- 13.3.2: 13.3.2, 13.3.3, 13.3.4, 13.3.5, 13.3.6, 13.3.7, 13.3.8, 13.3.9, 13.3.10.
- 13.4: 13.4.12, 13.4.14, 13.4.15, 13.4.18.
- 13.5: 13.5.1, 13.5.4, 13.5.5, 13.5.7, 13.5.11, 13.5.12, 13.5.13, 13.5.19, 13.5.20, 13.5.21.
- 13.6.1: 13.6.11, 13.6.12.
- 13.6.2: 13.6.21, 13.6.22, 13.6.26, 13.6.32, 13.6.33, 13.6.34, 13.6.37, 13.6.42.
- 13.6.3: 13.6.48, 13.6.53.
- 13.7: 13.7.6.
BACK to Top of Page
References, Internet Sites
Interactive Real Analysis, Bert G. Wachsmuth, Seton Hall University
http://www.shu.edu/projects/reals/
Analysis Web Notes, John Orr, University of Nebraska - Lincoln
http://www.math.unl.edu/~webnotes/home/home.htm
BACK to Top of Page
Exam Outlines [Posted here as needed]
Exam 1 (Chapters 6, 9. part of 10)
- Possibilities [Subject to change]
Exam 1 Outline
Exam 2 (Chapters rest of 10, 11)
- Possibilities [Subject to change]
Exam 2 Outline
Exam 3 (Chapters 12, 13)
- Possibilities [Subject to change]
Exam 3 Outline
Final Exam (Chapters 6, 9-13) - Possibilities [Subject to change]
Final Exam Outline
BACK to Top of Page
GO TO Richard Delaware Home Page