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Math 99 Course Outline:

  1. Notation and Abbreviations

  2. Sets and Set Notation
    1. Elements and set construction
    2. Containment and equality
    3. Operations on sets
    4. Proofs involving containment and equality
    5. Power set of a set
    6. Cartesian product of two sets

  3. "If-then" and "If-and-only-if" Statements
    1. Basic approach
    2. Converse and contrapositive
    3. Proof by contradiction
    4. P iff Q

  4. "For all" and "There exists" Statements
    1. Basic approach
    2. Illustrations
    3. Negations

  5. Functions
    1. Definition
    2. Notation and terminology
    3. One-to-one and onto functions
    4. Compositions and inverses
    5. Images and preimages

  6. Induction
    1. Definition
    2. How to use it
    3. Formal justification
    4. Recursion

  7. Equivalence Relations
    1. Definitions
    2. Equivalence classes and quotient sets
    3. Partitions

  8. Infinite Sets
    1. Definitions
    2. Size of N and Z
    3. Size of Q and R
    4. Continuum Hypothesis

Please the see policy on problem sets for more about these.

There also will be a midterm exam and a final exam. The midterm is scheduled for Friday, May 2. The final exam will be scheduled by the registrar; the current exam schedule is not yet available.


Up: Math 99 Home Page

Comments to: dpvc@union.edu
Created: Mar 24 1998 --- Last modified: Jun 2, 1998 7:39:23 PM