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Discrete Math 1

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Syllabus

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.

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