# Math 3003-01W*

## Instructor:Anthony J. Giovannitti, Ph.D.

Office:              Boyd 325

Phone:              770-838-2579

## FAX:770-836-6490

Email:               agiovann@westga.edu

Homepage:       http://www.westga.edu/~agiovann/

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 naïve 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).

Assessment:

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.

## Short in-class Responses5%

Test 1                                                               15%

Test 2                                                               15%

Test 3                                                               15%

Final                                                                 15%

Presentations and write-ups                              15%

Paper                                                               20%

Dates:

## September 19Test 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