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CSE 16

CSE 16

Sep 15, 20251 min read

  • all notes for CSE 16

Notes

Chapter 1

1.1 Introduction to Sets 1.2 The Cartesian Product 1.3 Subsets 1.4 Power Sets 1.5 Union, Intersection, Difference 1.6 Complement 1.8 Indexed Sets 1.9 Sets That Are Number Systems

Chapter 2

2.1 Statements 2.2 And, Or, Not 2.3 Conditional Statements 2.4 Biconditional Statements 2.6 Logical Equivalence 2.7 Quantifiers 2.10 Negating Statements 2.11 Logical Inference

Chapter 3

3.1 Lists 3.2 The Multiplication Principle 3.3 The Addition and Subtraction Principles 3.4 Factorials and Permutations 3.5 Counting Subsets


Graph View

  • Notes
  • Chapter 1
  • Chapter 2
  • Chapter 3

Backlinks

  • 1.1 Introduction to Sets
  • 1.2 The Cartesian Product
  • 1.3 Subsets
  • 1.4 Power Sets
  • 1.5 Union, Intersection, Difference
  • 1.6 Complement
  • 1.8 Indexed Sets
  • 1.9 Sets That Are Number Systems
  • 11.1 Relations
  • 11.2 Properties of Relations
  • 12.1 Functions
  • 12.2 Injective and Surjective Functions
  • 2.1 Statements
  • 2.10 Negating Statements
  • 2.11 Logical Inference
  • 2.2 And, Or, Not
  • 2.3 Conditional Statements
  • 2.4 Biconditional Statements
  • 2.6 Logical Equivalence
  • 2.7 Quantifiers
  • 3.1 Lists
  • 3.2 The Multiplication Principle
  • 3.3 The Addition and Subtraction Principles
  • 3.4 Factorials and Permutations
  • 3.5 Counting Subsets
  • 3.6 Pascal’s Triangle and the Binomial Theorem
  • 4.1 Theorems
  • 4.2 Definitions
  • 4.3 Direct Proof
  • 4.4 Using Cases
  • 4.5 Treating Similar Cases
  • 5.1 Contrapositive Proof
  • 5.2 Congruence of Integers
  • 5.3 Mathematical Writing
  • 6.1 Proving Statements with Contradiction
  • 6.2 Proving Conditional Statements by Contradiction
  • 6.3 Combining Techniques
  • 7.1 If-and-Only-If Proof
  • 7.2 Equivalent Statements
  • 7.3 Existence Proofs; Existence and Uniqueness Proofs
  • 7.4 Constructive Versus Non-Constructive Proofs
  • 8.1 How to Prove a ∈ A
  • 8.2 How to Prove A ⊆ B
  • 8.3 How to Prove A = B
  • 9.1 Counter Examples
  • 9.2 Disproving Existence Statements
  • 9.3 Disproof by Contradiction

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