INTRODUCTION TO ADVANCED MATHEMATICS & PROOF TECHNIQUES

 

Fall , 2002                                           Syllabus                                  MTH 3302 HH

Instructor: Dr. Sergey Belyi, e-mail: sbelyi@trojan.troy.edu

 

Time:  2:00-3:15  MW   MSCX  226

 

Office Hours: 8:00-9:00, 10:00-11:00 MWF COMPLX 235-B, ext. 3467

 

Class WWW Site: http://spectrum.troy.edu/~belyi/ip/

 

Text: A Transition to Advanced Mathematics, by Smith, Eggen and Andre, 5^th Edition

 

Catalog Description: We will cover selected topics from Chapters 1--5. Set theory, logic, number systems, functions, and proof writing techniques. Prerequisites: MTH 1126.

 

Course Objectives: Upon completion of the course, the student should have an understanding of:

1.        Demonstrate the ability to use the language and symbols of mathematics.

2.        Apply the rules of logic to determine truth values of statements and validity of arguments.

3.        Use mathematical induction to prove theorems.

4.        Perform set operations symbolically with Venn Diagrams.

5.        Construct proofs involving sets and functions, to include direct proofs, proof by contradiction, proof contrapositive, and epsilon-delta proofs.

6.        Demonstrate a knowledge of the real number system.

 

Course Requirements: 

1.       The student is expected to attend each class session and to participate in class discussion.

2.       The student is expected to complete all homework assignments punctually.

3.       The student is expected to participate in chalkboard work when called upon.

 

Tests and Grades: Two tests will be given and count toward the 67% of a final grade. A comprehensive final exam will constitute approximately 33% of the final grade. Students missing a scheduled test will have a zero (0) score recorded.

 

Homework:  Homework will be assigned from each section covered. This homework will not be collected, however, test problems will be very similar to the homework problems.

 

American with Disabilities Act:  Any student whose disabilities fall within ADA must inform the instructor at the beginning of the term of any special needs or equipment necessary to accomplish the requirements of this course.

 

Additional Services:  Students who have or may be dealing with a disability or learning difficulty should speak with the instructor, contact the Office of Adaptive Needs Program (Wright 226), or call 670-3220/3221. Various accommodations are available through the Adaptive Needs Program.

 

This syllabus represents a tentative plan for the instruction in this course. If, in the opinion of the instructor, learning may be optimized, it may be changed at any time. This syllabus is a best possible assessment of the course aspirations, assignments and requirements at the time it was developed for this quarter.