MATH 204 • Midterm I • Discrete Mathematics

Introduction

Negation of a Proposition

Compound Propositions

Truth Table 1

Truth Table 2

Exam like Question 1

Exam like Question 2

Tautology

Exam like Question 3

Contradiction

Converse Inverse Contrapositive

Exam like Question 4

Exam-like Question 5

Logical Equivalences & De Morgan's Laws

Logical Equivalences & De Morgan's Laws 2

Exam like Question 6

Exam like Question 7

Exam like Question 8

Universal Quantifiers

Existential Quantifiers

Truth Value of Propositions with Quantifiers

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Nested Quantifiers

Exam like Question 5

Exam like Question 6

Exam like Question 7

Exam like Question 8

Negation of Nested Quantifiers

Exam like Question 9

Exam like Question 10

Translation of Mathematical Statements

Translation of Statements With Multiple Variables

Exam like Question 11

Exam like Question 12

Exam like Question 13

Exam like Question 14

Logic Basics 1

Logic Basics 2

Logic Basics 3

Logic Basics 4

Logic - Quantifiers 1

Logic - Quantifiers 2

Logic - Quantifiers 3

Logic - Quantifiers 4

Logic - Quantifiers 5

Logic - Translation 1

Logic - Translation 2

Logic - Translation 3

Logic - Translation 4

Logic - Translation 5

Direct Proof

Example 1

Example 2

Example 3

Example 4

Proof by Contrapositive

Example 1

Example 2

Example 3

Proof by Contradiction

Example 1

Example 2

Proof by Counterexample

Example 1

Proof By Cases

Example 1

Example 2

Example 3

Proofs of Equivalence

Example 1

Example 2

Introduction

Proof of Formulas by Induction

Example 1

Example 2

Example 3

Example 4

Proof of Divisibility by Induction

Example 1

Example 2

Proof of Inequality by Induction

Example 1

Example 2

Induction Related to Fibonacci

Strong Induction

Direct Proof 1

Direct Proof 2

Proof by Contrapositive 1

Proof by Contrapositive 2

Proof by Contradiction 1

Proof by Contradiction 2

Proof by Contradiction 3

Proof by Contradiction 4

Proof by Contradiction 5

Proof by Cases 1

Proofs of Equivalence 1

Proofs of Equivalence 2

Induction for Formulas 1

Induction for Formulas 2

Induction for Formulas 3

Induction for Formulas 4

Induction for Formulas 5

Induction Proof for Divisibility 1

Induction Proof for Divisibility 2

Direct Proof & Induction 1

Direct Proof & Induction 2

Induction for Inequalities 1

Induction for Inequalities 2

Induction for Inequalities 3

Induction with Fibonacci 1

Induction with Fibonacci 2

Definition and Notation

Subset

Example 1

Union and Intersection of Two Sets

Difference of Two Sets

Example 1

Symmetric Difference

Example 1

Set Identities

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Power Set

Example 1

Example 2

Cartesian Product

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Generalized Intersections and Unions

Example 1

Example 2

Example 3

Definition

Example 1

Countable Sets

Properties of Countable Sets

Example 1

Uncountable Sets

Definition of Function

Example 1

Number of Functions

Injective Functions

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Surjective Functions

Example 10

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Bijective Function

Inverse Function

Example 17

Example 18

Image of a Set

Proof Example For Image of a Function

Preimage of a Set

Example 19

Proof Example for Preimage of a Function

Example 20

Definition of Sequence

Arithmetique Sequence

Example 1

Geometric Sequence

Example 1

Sum Notation

Example 1

Sets 1

Sets 2

Sets 3

Sets 4

Sets 5

Sets 6

Cardinality 1

Cardinality 2

Cardinality 3

Cardinality 4

Functions 1

Functions 2

Functions 3

Functions 4

Functions 5

Sets & Function 1

Sets & Function 2

Sets & Function 3

Sets & Function 4

Sets, Function & Summation 1

Sets, Function & Summation 2

Summation and Function

All Midterm Subjects 1

All Midterm Subjects 2