MATH 3003

A Transition to Advanced Mathematics

Fall 2004

 

Instructor:     Dr. Abdollah Khodkar

Office:           Boyd 316

Phone:           770-836-4348

Fax:                770-836-6490

Email:             akhodkar@westga.edu

 

Office Hours: 

 

Weekdays

Morning

Afternoon

Monday

9-10

3-4

Tuesday

10-11

4-5

Wednesday

9-10

3-4

Thursday

10-11

4-5

Friday

9-10

 

 

If you would like to see me but cannot come during one of these times, please call

first or make an appointment.

 

Hours Credit:  3 hours

 

Textbook:   A Transition to Higher Mathematics, 5th edition, by Smith, Eggen

and St. Andre. We will cover Chapters 1-5.

 

Course Description:   Logic (propositions, connectives, conditionals, quantifiers), mathematical proofs, set theory, mathematical induction, relations, functions, cardinality of sets.

 

Learning Objectives:                 

 

  1. The student will demonstrate an understanding of basic symbolic logic by translating English sentences to formal logical expressions and translating formal logical expressions to equivalent English sentences.
  2. The student will be able to state the basic definitions and use the notation of naïve set theory.
  3. The student will be able to state the basic definitions, properties, and use the notation of functions, including terms like injection, surjection, and bijection.
  4. The student will know and use the definition of cardinality of sets and will be able to determine the cardinality of given sets, when two sets have the same cardinality, and the relationship of cardinality and bijections of sets.
  5. The student will be able to distinguish between finite sets and infinite sets.
  6. The student will use mathematical arguments, including direct proofs, proofs by contradiction, proofs by induction, and proofs by contra-positive to prove facts about sets, functions and basic algebraic objects.
  7. The student will demonstrate that he/she can comprehend symbolically written mathematics by explaining in his/her own words definitions, statements of theorems, and other mathematically written sentences.
  8. The student will be able to write facts, arguments, and/or questions about mathematics using correct grammatical style for mathematical text.

 

 Homework: After each lesson, I will assign homework problems from the text that are not to be returned in and graded but that are meant to reflect the sort of question you can expect on tests. I encourage you to use my office hours if you have any questions about them.

 

Graded Assignments: I will periodically assign homework to be turned in for a grade. These assignments will be worth a total of 30% toward your final grade. You are not to collaborate or discuss the problems with anyone but me and you may not use any outside sources of information except your textbook. (See Academic Dishonesty Policy.)

 

Tests: There will be a test every fifth Friday, three in all, and will be worth a total of 45% toward your final grade. Test dates: Sep. 24, Oct. 29,  Dec. 3.

 

Final exam: The final exam will be worth 25% toward your final grade.

 

Grading Scale: A: 86-100, B: 72-85, C: 58-71, D: 44-57, F: 0-43.

 

Grading: Your final grade will be determined as follows: Graded Assignments – 30%, Tests – 45% and Final exam – 25%.

  

 ACADEMIC DISHONESTY

 

Academic dishonesty is NOT tolerated. It will result in failure on assignment(s) as well as possible disciplinary sanction(s) as stipulated by university rules. State University of

West Georgia Student Conduct Code defines academic dishonesty as cheating, fabrication, plagiarism, and facilitating or allowing academic dishonesty in any academic exercise.

 

Cheating:  Using or attempting to use unauthorized materials, information or study aids;

 

Fabrication:  Falsification or unauthorized invention of any information or citation;

 

Plagiarism:  Representing the words or ideas of another as one's own. Direct quotations must be indicated and ideas of another must be appropriately acknowledged.

 

Academic dishonesty in any form compromises your grade and lowers the quality of your diploma. A fellow student who cheats may actually lower your grade, sometimes causing unfair and inflated grading scales. I hope each of you values your college education enough to protect yourself from dishonest classmates.