Rigorous treatment of mathematical concepts with emphasis on developing the ability to understand abstract mathematical ideas, to read and write mathematical concepts, and to prove theorems. Designed to serve as preparation for the more rigorous upper division courses.

Lecture Notes:

1(a). Set Theory (I)

1(b). Set Theory (II)

1(c). Set Theory (III)

     2. Logic

3(a). Direct Proofs

3(b). Proof by Contradiction and Contrapositive

    4. Divisibility and Congruence

5(a). Mathematical Induction (I)

5(b). Mathematical Induction (II)

    6. Relations and Equivalence Relations

7(a). Functions (I)

7(b). Function (II)

7(c). Function (III)

     8. Cardinality