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INTRODUCTION to SET THEORY - DISCRETE MATHEMATICS

CARTESIAN PRODUCTS and ORDERED PAIRS - DISCRETE MATHEMATICS

SUBSETS AND POWER SETS - DISCRETE MATHEMATICS

[Discrete Mathematics] Subsets and Power Sets Examples

THREE EXERCISES IN SETS AND SUBSETS - DISCRETE MATHEMATICS

SET OPERATIONS - DISCRETE MATHEMATICS

[Discrete Mathematics] Set Operations Examples #2

[Discrete Mathematics] Symmetric Difference Example

[Discrete Mathematics] Indexed Sets and Well Ordering Principle

INTRODUCTION to PROPOSITIONAL LOGIC - DISCRETE MATHEMATICS

[Discrete Mathematics] Statement Identification and Translation Examples

TRUTH TABLES - DISCRETE MATHEMATICS

PROOFS with TRUTH TABLES - DISCRETE MATHEMATICS

[Discrete Mathematics] Truth Tables Examples

[Discrete Mathematics] Exclusive Or Example

[Discrete Mathematics] Sheffer Stroke Examples

LOGIC LAWS - DISCRETE MATHEMATICS

[Discrete Mathematics] Logic Laws Examples

[Discrete Mathematics] Logic Laws Examples 2

CONDITIONALS - DISCRETE MATHEMATICS

[Discrete Mathematics] Conditional Examples

RULES of INFERENCE - DISCRETE MATHEMATICS

PREDICATE LOGIC and QUANTIFIER NEGATION - DISCRETE MATHEMATICS

[Discrete Mathematics] Negating Quantifiers and Translation Examples

[Discrete Mathematics] Unique Quantifier Examples

RULE of SUM and RULE of PRODUCT - DISCRETE MATHEMATICS

[Discrete Mathematics] Rule of Sum and Rule of Product Examples

FACTORIALS and PERMUTATIONS - DISCRETE MATHEMATICS

[Discrete Mathematics] Permutation Practice

COMBINATIONS - DISCRETE MATHEMATICS

[Discrete Mathematics] Permutations and Combinations Examples

[Discrete Mathematics] Permutations and Combinations Examples 2

[Discrete Mathematics] Binomial Theorem and Pascal's Triangle

COMBINATIONS with REPETITION - DISCRETE MATHEMATICS

[Discrete Mathematics] Combinations with Repetition Examples

[Discrete Mathematics] Counting Practice

[Discrete Mathematics] Midterm 1 Solutions

DIRECT PROOFS - DISCRETE MATHEMATICS

[Discrete Mathematics] Direct Proofs Examples

[Discrete Mathematics] Cartesian Product Proofs Examples

[Discrete Mathematics] Proof by Case

[Discrete Mathematics] Proof by Cases Examples

PROOF by CONTRAPOSITION - DISCRETE MATHEMATICS

PROOF by CONTRADICTION - DISCRETE MATHEMATICS

MATHEMATICAL INDUCTION - DISCRETE MATHEMATICS

[Discrete Mathematics] Mathematical Induction Examples

[Discrete Mathematics] Mathematical Induction with Derivatives and Matrices

RELATIONS - DISCRETE MATHEMATICS

[Discrete Mathematics] Relations Examples

PARTIAL ORDERS - DISCRETE MATHEMATICS

FUNCTIONS - DISCRETE MATHEMATICS

INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS

[Discrete Mathematics] Functions Examples

[Discrete Mathematics] Surjective Functions Examples

[Discrete Mathematics] Inverse Function Examples

[Discrete Mathematics] Inverses Examples 2

PIGEONHOLE PRINCIPLE - DISCRETE MATHEMATICS

[Discrete Mathematics] Pigeonhole Principle Examples

DIVISIBILITY - DISCRETE MATHEMATICS

[Discrete Mathematics] Divisibility Examples

[Discrete Mathematics] Floor and Ceiling Examples

[Discrete Mathematics] Modular Arithmetic

[Discrete Mathematics] Congruency Proof Examples

[Discrete Mathematics] Primes and GCD

EUCLIDEAN ALGORITHM - DISCRETE MATHEMATICS

[Discrete Mathematics] Euclidean Algorithm and GCDs Examples

[Discrete Mathematics] Formal Languages

[Discrete Mathematics] Formal Languages Examples

[Discrete Mathematics] Finite State Machines

[Discrete Mathematics] Finite State Machines Examples

[Discrete Mathematics] Midterm 2 Solutions

Description:

Explore the foundations of discrete mathematics in this comprehensive 12-hour course covering set theory, logic, counting, permutations and combinations, functions, relations, number theory, proofs, and formal grammar. Dive into topics such as Cartesian products, subsets, power sets, set operations, propositional logic, truth tables, logic laws, conditionals, rules of inference, predicate logic, quantifier negation, factorials, binomial theorem, Pascal's triangle, direct proofs, proof by contraposition and contradiction, mathematical induction, partial orders, injective, surjective, and bijective functions, pigeonhole principle, divisibility, modular arithmetic, Euclidean algorithm, formal languages, and finite state machines. Gain practical experience through numerous examples and problem-solving exercises, including midterm solutions, to solidify your understanding of these essential discrete mathematics concepts.

Discrete Math 1

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