MA370 Number Theory

for FA 2007

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Vision Statement: Park University will be a renowned international leader in providing innovative educational opportunities for learners within the global society.


MA 370 Number Theory


FA 2007 HO


Pogge, James Todd


Assistant Professor of Mathematics


Ph.D., Mathematics (Number Theory)
M.S., Mathematical Sciences (Pure Mathematics)
B.S., Mathematics/Computer Science (double major)

Office Location

SC 105C (Must enter through SC 105)

Office Hours

Monday, 12:00-13:30; Tuesday, 13:30-15:00; Thursday, 13:30-15:00; Friday, 12:00-13:30

Daytime Phone



Semester Dates

20 August 2007 - 14 December 2007

Class Days


Class Time

8:45 - 10:00 AM


MA 212 and MA 301, or permission of the instructor.

Credit Hours


Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L. An Introduction to the Theory of Numbers. Fifth Edition. John Wiley & Sons, Inc. 1991. (ISBN: 0-471-62546-9) (ISBN 13: 9 780471 625469)

Textbooks can be purchased through the Parkville Bookstore

Additional Resources:

McAfee Memorial Library - Online information, links, electronic databases and the Online catalog. Contact the library for further assistance via email or at 800-270-4347.
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Resources for Current Students - A great place to look for all kinds of information

Course Description:
An introduction to the theory of numbers. Topics include congruences and residue classes, the theorems of Euler and Fermat and other number theoretic functions. 3:0:3 Prerequisite: MA212 and MA301, or permission of the instructor

Educational Philosophy:

I believe that most things are easy once shown, but tend to be difficult until shown. So a student shall be encoraged to address mathematical concepts several times primarily through doing problems. One needs a vocabulary. So there will be quizzes on vocabulary as we work on a mathematical language for number theory.
Class time is primarily presentation with slight time for refinement, but time is made for general questions. However, teaching often takes place during an office hour where individual questions and problems can be addressed more adequately.

Learning Outcomes:
  Core Learning Outcomes

  1. Analyze and apply the theory of divisibility in the integers.
  2. Analyze and apply the theory of the primes and their distribution.
  3. Analyze and apply the theory of congruences.
  4. Utilize Fermat's Little Theorem and Wilson's Theorem to prove results and work numerical exercises.
  5. Utilize number-theoretic functions to prove results in work numerical exercises.
  6. Utilize Euler's phi-function to prove results and work numerical results

Core Assessment:

·     Periodic assignments

·     Participation in field trip to Linda Hall Library

·     Attendance

·     Participation in class discussions

·     Major term paper

·     Oral presentation of the major term paper

·     Other presentations

Class Assessment:
Grades are determined from quizzes, tests, and the final examination. Grades of A(90%), B(80%), C(70%), D(60%), and F(less than 60%) will be given. A final is mandatory. There will be a take home midterm examination. There will be quizzes. There will be homework assignments. The instructor reserves the right to change the syllabus.

See above

Late Submission of Course Materials:
Assignments not submitted on the due date will receive a grade of "zero".

Classroom Rules of Conduct:
All students are expected to be present and on time with homework assigned completed.

Course Topic/Dates/Assignments:
Several Sections from the book.

Academic Honesty:
Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life.   Park University 2007-2008 Undergraduate Catalog Page 85-86

Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing. Park University 2007-2008 Undergraduate Catalog Page 85

Attendance Policy:
Instructors are required to maintain attendance records and to report absences via the online attendance reporting system.

  1. The instructor may excuse absences for valid reasons, but missed work must be made up within the semester/term of enrollment.
  2. Work missed through unexcused absences must also be made up within the semester/term of enrollment.
  3. Work missed through unexcused absences must also be made up within the semester/term of enrollment, but unexcused absences may carry further penalties.
  4. In the event of two consecutive weeks of unexcused absences in a semester/term of enrollment, the student will be administratively withdrawn, resulting in a grade of "F".
  5. A "Contract for Incomplete" will not be issued to a student who has unexcused or excessive absences recorded for a course.
  6. Students receiving Military Tuition Assistance or Veterans Administration educational benefits must not exceed three unexcused absences in the semester/term of enrollment. Excessive absences will be reported to the appropriate agency and may result in a monetary penalty to the student.
  7. Report of a "F" grade (attendance or academic) resulting from excessive absence for those students who are receiving financial assistance from agencies not mentioned in item 5 above will be reported to the appropriate agency.

Park University 2007-2008 Undergraduate Catalog Page 87-88

Disability Guidelines:
Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: .

Additional Information:

There will not be a trip to Linda Hall Library. There will not be a term paper. There will not be an oral presentation of a term paper. However, there will be homework,a  take home examination, and final examination  where proofs are to be written out. One should still be aware of the existence of Linda Hall Library and its importance to research in the sciences especially for the Kansas City area.


This material is protected by copyright and can not be reused without author permission.

Last Updated:9/27/2007 9:56:06 PM