MATH 220 DISCRETE MATHEMATICAL STRUCTURES

COURSE SYLLABUS

1. Algebraic Properties of Counting Numbers

2. Formal Proofs based on the Algebraic Axioms

3. Sets, Relations, Binary Operations, Ordering

4. Extending Counting Numbers to Integers and Rational Numbers

5. Real Numbers

6. Elementary Number Theory, Mathematical Induction

7. Set Operations; One-to-One Functions; Cardinality

8. Boolean Algebras, Groups, Rings, Fields

9. Homomorphisms and Isomorphisms

10. Constructing Different Algebraic Structures

11. Finite Algebraic Structures

12. Basic Counting Principles

13. Elementary Recursive Functions and Formal Proofs

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