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
  • (864) 656-6766 (office)
  • (864) 656-3434 (Dept)

  • Email:

    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 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. 

    Grading Policies

    The grading in this class will be as follows: 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. 

    Academic Integrity

    As members of the Clemson University community, we have inherited Thomas Green Clemson's vision of this institution as a high seminary of learning. Fundamental to this vision is a mutual commitment to truthfulness, honor, and responsibility, without which we cannot earn the trust and respect of others. Furthermore, we recognize that academic dishonesty detracts from the value of a Clemson degree. Therefore, we shall not tolerate lying, cheating, or stealing in any form.