Math 3003-01W*


Transition to Advanced Mathematics


Tuesday and Thursday 11am-12:15pm

Boyd 206


Instructor: Anthony J. Giovannitti, Ph.D.

Office: Boyd 325

Phone: 770-838-2579

FAX: 770-836-6490




Office Hours: Monday-Thursday 10 a.m. to 11a.m., Monday, Wednesday, and Thursday 1 p.m. to 2 p.m., Monday and Wednesday 4 p.m. to 5:30 p.m., or by appointment.


Text: A Transition to Higher Mathematics, 5th edition, by Eggen/St.Andre


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 (L2).
  2. The student will be able to state the basic definitions and use the notation of nave set theory (L2).
  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 (L2, L5).
  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 (L2, L5).
  5. The student will be able to distinguish between finite sets and infinite sets (L2, L5).
  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 (L2).
  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 (L2, L4).
  8. The student will be able to write facts, arguments, and/or questions about mathematics using correct grammatical style for both the English and mathematical text (L2, L4).









10-12                             Short in-class Responses (WTL exercises)

These will be one to five sentences written responses to questions raised in the lecture. Each part will be assigned from 0-4 points of these 0-2 will be given for content and 0-2 for style.


3                                            75-minute tests during class periods.


1                                            Comprehensive Final


3-4                                     Short oral presentations and write-up. Each will be graded on a 5-point scale. The presentation will be 0-3 points and judged on coherence and clarity of presentation. (An extra point can be gained by using technology in the presentation.) The write-up (a WTL exercise) will be 0-2 points and graded on clarity of style, grammar, and spelling. The write-up is due two class periods after the presentation. The max score for the write up will be reduced by one point per class period if handed in late. References must be included. The reference style should be the AMS style. Examples of this style can be found in The American Math Monthly.

1                                            Paper 5-8 pages in length. (Illustrations and graphs not to be included in the page count.) (WTC exercise) The paper should be typed or printed. The text should be double spaced and using a 12pt font. Topics may be selected from people, problems, schools or controversies in mathematics and must have the instructors consent. The bibliography must include at least 2 books, 2 journal articles and 2 Web addresses references. The style of the bibliography should be the AMS style. The outline and rough draft will be read and handed back with helpful suggestions only if handed in by the dates given below.


Your course grade is based on these 7 parts as follows:


Short in-class Responses 5%

Test 1 15%

Test 2 15%

Test 3 15%

Final 15%

Presentations and write-ups 15%

Paper 20%


Letter grade: A90>B80>C70>D60>F




August 20 First day of class

August 27- Presentations (write-ups due two class periods after

December 3 presentations.)

September 19 Test 1 and topics for paper due

October 3 Outline of paper due.

October 10 Last day to withdraw with a W

October 24 Rough draft of paper due.

October 24 Test 2

November 26 Test 3

December 3 Final draft of paper due (Last Class)

December 10 Final Exam 11 a.m. to 1 p.m. in Boyd 206





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. If you are aware of cheating taking place, please contact Dr. Giovannitti and proper action will be taken.


* NOTE: A W designation after a section number signifies that the course is a Writing Across the Curriculum (WAC) course. WAC accepts as a guiding principle the idea that writing is a valuable tool for learning and communication. Therefore, the writing components of a course so designated are designed to help you learn the material and communicate what you have learned. Students are required to take two W courses for an undergraduate degree in the College of Arts and Sciences.