Dr. Mann's M328K, Spring 2008
Introduction to Number Theory
Unique # 58810

Final Exam: Saturday, May 10, 9:00 - 12:00 noon, WEL 2.256
Dr. Mann's Office Hours between the end of classes & the final exam:
Wednesday, May 7 2-3 pm and
Friday May 9 11:30-2:00 pm
Homework 15 due Mon Apr 28:
Read Section 6.3
Work Section 6.3 #6, 7, 10
Homework 14b due Fri Apr 25:
Read Section 13.2 pgs. 516-525
Work Section 13.2 #1-3
Exam 3 Test corrections
Homework 14a due Wed Apr 23:
Read Section 13.1 pgs 509-514
Work Section 13.1 #2, 4, 6
Homework 13b due Fri Apr 17:
Section 7.3 #12 (use #10), 15a, 18, 22 and Group Problem
Homework 13a due Wed Apr 15:
Read Sections 7.2 & 7.3
Work Section 7.2 #1fh, 2be, 3, 5be and Section 7.3 #2, 3c
Exam 3 will be Fri Apr 11 and will cover sections 4.3, 4.4, and 6.1.
Dr. Mann will hold an extra office hour 2:30-3:30 pm on Thurs Apr 10.
Homework 12b due Wed Apr 9:
Work Section 7.1 #4, 10
Homework 12a due Mon Apr 7:
Read pgs 239-245
Work Section 7.1 #2a-e, 5, 9
Homework 11c due Fri Apr 4:
Work Section 6.1 #6, 15b
Homework 11b due Wed Apr 2:
Work Section 6.1 #14, 24, 28
Homework 11a due Mon Mar 31:
Read pgs 215-220
Work Section 6.1 #2, 4, 10, 12
Homework 10c due Fri Mar 28:
Find all solutions of the polynomial congruence given in #10 section 4.4.
Homework 10b due Wed Mar 26:
Work Section 4.4 #2ab, 4, 10
Homework 10a due Mon Mar 24:
Read pgs 168-173
Work Section 4.4 # 2ab, 4
Homework 9b due Fri Mar 21:
Work Section 4.3 #4b, 16a, 18, 20a
Homework 9a due Wed Mar 19:
Read pgs 158-163
Work Section 4.3 #2, 4a
Exam 2 will be Fri Mar 7 and will cover Sections 3.3, 3.5, 3.7, 4.1 and 4.2.
Dr. Mann will hold an extra office hour 10:15-11:15 on Thurs Mar 6.
Homework 8a due Mon Mar 3:
Work Section 4.2 #16, 18
Homework 7c due Fri Feb 29:
Read pgs 153-156
Work Section 4.2 #2abd, 8, 10, 12
Homework 7b due Wed Feb 27:
Work Section 4.1 #22, 26, 40, 41
Homework 7a due Mon Feb 25:
Work Section 4.1 #4, 6, 8, 10, 14
Homework 6b due Fri Feb 22:
Work Section 3.7 #6, 10, 14a
Read pgs 141-149
Work Section 4.1 #2
Homework 6a due Wed Feb 20:
Work Section 3.5 #68
Read pgs 133-137
Work Section 3.7 #2, 4, 16
Homework 5 due Fri Feb 15:
Read pgs 108-116
Work Section 3.5 #4, 6, 10, 12
Exam 1 will be Fri Feb 8 and will cover Sections 1.1, 1.2, 1.3, 1.4, 1.5, and 3.1.
Dr. Mann will hold an extra office hour 10:30-12 on Thurs Feb 7.
Homework 4b due Wed Feb 6:
 Work Section 3.3 #9, 12, 16, 18
Homework 4a due Mon Feb 4:
 Read pgs 90-94
Work Section 3.3 #2, 4, 8
Homework 3c due Fri Feb 1:
 Read pgs 67-74
Work Section 3.1 #2, 6, 8, 10
Homework 3b due Wed Jan 30:
 Work Section 1.5 #10, 12, 16, 20, 22, 28, 34
Homework 3a due Mon Jan 28:
 Read pgs 37-39
Work Section 1.5 #4, 6, 8
Homework 2b due Fri Jan 25:
 Read pgs 30-33
Work Section 1.3 #20, 26, 30 and Section 1.4 #4, 8, 20, 34, 40
Also write up the solution to your group problem.
Homework 2a due Wed Jan 23:
 Read pgs 23-27
Work Section 1.3 # 2, 4, 6, 8
Homework 1b due Fri Jan 18:
 Read pgs 16-20
Work Section 1.2 # 6, 10, 16, 20, 22, 24
Also, find a website, news story, or journal article related to number theory. Turn in a full citation of this source and a single paragraph personal commentary on this source.
Homework 1a due Wed Jan 16:
 Read pgs 6-12
Write complete solutions for Section 1.1 #2, 4, 11 (give proof of your answer), 24, 26

Class Meetings     MWF 12:00 - 1:00 pm in RLM 5.118

Lecturer                  Jennifer K. Mann, Ph.D.
Office: RLM 10.128
Office Hours: M 10:30-12, W 2-3, or by appointment
Email: jmann@math.utexas.edu (preferred method of contact)
Phone: 512-471-1140
Website: http://www.ma.utexas.edu/users/jmann/

Text               Elementary Number Theory and its applications by Kenneth H. Rosen, Fifth Edition

Honor Code          The core values of the University of Texas at Austin are learning, discovery, freedom, leadership, individual opportunity, and responsibility. Each member of the University is expected to uphold these values through integrity, honesty, trust, fairness, and respect toward peers and community.

Exam Dates                  February 8, March 7, and April 11
Final Exam Date              Saturday, May 10             9:00 - 12:00 noon, WEL 2.256
There are three in-class exams during the semester and a cumulative in-class final exam. Calculators, books, or notes are NOT allowed to be used during exams.

Homework
Homework will be posted on the course website and announced in class. Homework assignments will be collected at the BEGINNING of each class meeting. Homework will be compiled and graded on a weekly basis. Students are encouraged to discuss all aspects of the course with each other. However, each student should write their own solutions to homework problems. Copying another student's solution or that from another text is a violation of the honor code and fails to contribute to your personal mathematical development.
 
Class Participation
Students will present their solutions to homework problems during class meetings. The other classmates are required to ask questions and make certain they understand what has been presented. The presenter has the first opportunity to address any questions or comments, and then other classmates are encouraged to contribute.

Grading      
15% Homework
10% Class Participation
15% Exam 1
15% Exam 2
15% Exam 3
30% Final Exam
There will be no makeup exams. A single missed exam grade will be replaced by the final exam grade. The lowest exam grade will be replaced by the final exam grade if the final exam grade is higher than the lowest exam grade. There may be opportunities to re-write any of the written assignments (with the exception of the final exam) for grade improvements. Each such opportunity will have a strict deadline. No semester assignments will be accepted after the last day of classes Friday, May 2, 2008. Your final exam grade is final. Thus, any discussions of your course grade must occur prior to the final exam administration on Saturday, May 10, 2008.
 
Syllabus        http://www.ma.utexas.edu/dev/math/Courses/Syllabi/M328K.html

Course Website        http://www.ma.utexas.edu/users/jmann/M328K.html
 
Advice for Success
Actively participate in the course by attending lectures, participating in class discussions, presenting problems to the class, asking and/or answering questions in class, working the assigned homework problems, and utilizing the office hours of Dr. Mann.
 
Services available to students
The University of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities. To determine if you qualify, please contact the Dean of Students at 471-6259 or 471-4641 TTY. At the beginning of the semester, please notify the instructor of your specific needs.

AMS Resource for Undergraduate Mathematics Majors        http://www.ams.org/employment/undergrad.html

Jennifer K. Mann's Home Page