3 Chapter 1 – Logic and Proofs 1.4 Proofs • Direct Proof Method • Identify Logical Errors and Disprove Statements • Introduction to Mathematical Induction • Other Methods of Proof 1.4
4 Ch. 5: Discrete Structures Revisited 0.2.2 Introduction to sets 5.1 Sets • Relationships between Sets • Operations on Sets • Venn Diagrams 5.1
5 Ch. 5: Discrete Structures Revisited 0.2.3 Introduction to Functions 5.2 Functions • Describing functions • Surjections, Injections and Bijections 5.2
6 Ch. 4: Sequences 0.2.4 Introduction to Sequences 4.1 Describing Sequences • Sequences and Formulas • Partial Sums and Differences 4.2 Rate of Growth • Arithmetic Sequences • Geometric Sequences 4.1, 4.2
8 Ch. 3: Counting 3.2 Combining outcomes • The Sum and Product Principles • Combining Principles 3.3 Non disjoint outcomes 3.2, 3.3
9 Ch. 3: Counting 3.4 Combinations and Permutations • Counting Sequences • Counting Sets • The Quotient Principle 3.4
10 Ch. 3: Counting 3.6 Combinatorial Proofs • Patterns in Pascal's Triangle • Binomial Theorem 3.6
7 Ch. 4: Sequences 4.5 Mathematical Induction 4.5