# MTHSC 3190-001; 3190-002 Syllabus

Fall 2013

Time: 9:05 - 9:55 M,W,F. (section 1)
Time: 10:10 - 11:00 M,W,F. (section 2)
Location: M203 Martin.
Instructor: Kevin James
Office: O-21 Martin Hall
Phone:
• (864) 656-6766 (office)
• (864) 656-3434 (Dept)

• Email: kevja@clemson.edu
Web: http://www.ces.clemson.edu/~kevja/

### Office Hours

Office hours are by appointment.  Please email me to set up an appointment.

### Required Text

The text for this course is ``Mathematics, A Discrete Introduction,'' 2nd Edition by Edward R. Scheinerman.

### Goals and Objectives.

The purpose of this class is to aid students as they transition from lower-level courses which are more computational (such as those in the calculus sequence) to upper-level courses with more mathematical rigor. This course will prepare students for courses in which the reading and writing of proofs is considered routine. The topics of the course are also intended to introduce the students to the basic objects which will be used and expanded upon in higher-level courses.

### Course Contents

We will parts of sections 1-16, 19-25, 29-30, 34-36 from the textbook. Other sections will be covered if time permits. We will also supplement the textbook with lectures on topics from analysis such as limits, continuity and differentiability of functions.

### Topics

Topics will include but are not limited to the following:
1. Proof techniques (direct proof, proof by the contrapositive, proof by contradiction, induction)
2. Quantifiers and proofs of statements involving quantifiers
3. Counterexamples
4. Basic set theory
5. Functions
6. Relations and equivalence relations
7. Selected topics from elementary number theory
8. Counting techniques

### Learning Outcomes

At the end of this course, the student will be able to:
1. Construct proofs of conditional and biconditional statements.
2. Demonstrate that a statement is false by supplying a counterexample.
3. Write an induction proof.
4. Apply counting techniques.
5. Determine properties of a relation and justify such properties.

### Time Requirements.

Please be sure to devote at least six hours per week outside of class to this course.

The grading in this class will be as follows:
• 3 In-class Exams 20% each
• Quizzes and Homework 15%
• Cumulative Final Exam 25%
All exams will be cumulative.

The following grading scale will be used:

 A 90-100 B 80-89 C 70-79 D 60-69 F 0-59

All grading will be on the basis of your work shown and not on the answer alone.

### Make-up Policy

Absolutely NO late homework will be accepted and there will be No make-ups for missed quizes or exams. In the event, that a student misses an exam due to a documented excused absence, that student's final exam score will be substituted for the missing exam score. Any student who misses an exam and cannot provide documentation indicating that the absence was excused will recieve a 0 for the exam.

### Attendance Policy.

You are expected to be regular and punctual in your class attendance. You are expected to be in your seat at the beginning of the period and to remain through the period until dismissed. The instructor reserves the right to drop any students wh accumulates more than 6 absences.

If the instructor is late, the class should begin a review of homework problems. After 25 minutes, the class may leave.