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[ CoursePig com ] Udemy - Discrete Mathematics (updated 7 - 2021)
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1. Sets
1. Introduction-en_US.srt
1. Introduction.mp4
10. Cartesian Products-en_US.srt
10. Cartesian Products.mp4
11. Cartesian Plane-en_US.srt
11. Cartesian Plane.mp4
12. Venn Diagrams-en_US.srt
12. Venn Diagrams.mp4
13. Set Operations (Union, Intersection)-en_US.srt
13. Set Operations (Union, Intersection).mp4
14. Properties of Union and Intersection-en_US.srt
14. Properties of Union and Intersection.mp4
15. Set Operations (Difference, Complement)-en_US.srt
15. Set Operations (Difference, Complement).mp4
16. Properties of Difference and Complement-en_US.srt
16. Properties of Difference and Complement.mp4
17. De Morgan’s Law-en_US.srt
17. De Morgan’s Law.mp4
18. Partition of Sets-en_US.srt
18. Partition of Sets.mp4
19. Extra Practice Problems-en_US.srt
19. Extra Practice Problems.mp4
2. Definition of a Set-en_US.srt
2. Definition of a Set.mp4
3. Number Sets-en_US.srt
3. Number Sets.mp4
4. Set Equality-en_US.srt
4. Set Equality.mp4
5. Set-Builder Notation-en_US.srt
5. Set-Builder Notation.mp4
6. Types of Sets-en_US.srt
6. Types of Sets.mp4
7. Subsets-en_US.srt
7. Subsets.mp4
8. Power Set-en_US.srt
8. Power Set.mp4
9. Ordered Pairs-en_US.srt
9. Ordered Pairs.mp4
Sets-Workbook.pdf
10. Sequence and Series
1. Intro-en_US.srt
1. Intro.mp4
2. Sequence-en_US.srt
2. Sequence.mp4
3. Arithmetic Sequences-en_US.srt
3. Arithmetic Sequences.mp4
4. Geometric Sequences-en_US.srt
4. Geometric Sequences.mp4
5. Partial Sums of Arithmetic Sequences-en_US.srt
5. Partial Sums of Arithmetic Sequences.mp4
6. Partial Sums of Geometric Sequences-en_US.srt
6. Partial Sums of Geometric Sequences.mp4
7. Series-en_US.srt
7. Series.mp4
8. Bonus Lecture-en_US.srt
8. Bonus Lecture.mp4
2. Logic
1. Introduction-en_US.srt
1. Introduction.mp4
10. Conditional Statements-en_US.srt
10. Conditional Statements.mp4
11. Negation of Conditional Statements-en_US.srt
11. Negation of Conditional Statements.mp4
12. Converse and Inverse-en_US.srt
12. Converse and Inverse.mp4
13. Biconditional Statements-en_US.srt
13. Biconditional Statements.mp4
14. Examples-en_US.srt
14. Examples.mp4
15. Digital Logic Circuits-en_US.srt
15. Digital Logic Circuits.mp4
16. Black Boxes and Gates-en_US.srt
16. Black Boxes and Gates.mp4
17. Boolean Expressions-en_US.srt
17. Boolean Expressions.mp4
18. Truth Tables and Circuits-en_US.srt
18. Truth Tables and Circuits.mp4
19. Equivalent Circuits-en_US.srt
19. Equivalent Circuits.mp4
2. Statements-en_US.srt
2. Statements.mp4
20. NAND and NOR Gates-en_US.srt
20. NAND and NOR Gates.mp4
21. Quantified Statements - ALL-en_US.srt
21. Quantified Statements - ALL.mp4
22. Quantified Statements - THERE EXISTS-en_US.srt
22. Quantified Statements - THERE EXISTS.mp4
23. Negations of Quantified Statements-en_US.srt
23. Negations of Quantified Statements.mp4
3. Compound Statements-en_US.srt
3. Compound Statements.mp4
4. Truth Tables-en_US.srt
4. Truth Tables.mp4
5. Examples-en_US.srt
5. Examples.mp4
6. Logical Equivalences-en_US.srt
6. Logical Equivalences.mp4
7. Tautologies and Contradictions-en_US.srt
7. Tautologies and Contradictions.mp4
8. De Morgan’s Laws in Logic-en_US.srt
8. De Morgan’s Laws in Logic.mp4
9. Logical Equivalence Laws-en_US.srt
9. Logical Equivalence Laws.mp4
Logical-Equivalence-Laws.pdf
3. Number Theory
1. Introduction-en_US.srt
1. Introduction.mp4
2. Parity-en_US.srt
2. Parity.mp4
3. Divisibility-en_US.srt
3. Divisibility.mp4
4. Prime Numbers-en_US.srt
4. Prime Numbers.mp4
5. Prime Factorization-en_US.srt
5. Prime Factorization.mp4
6. GCD & LCM-en_US.srt
6. GCD & LCM.mp4
Divisibility-Rules-1.pdf
4. Proofs
1. Intro-en_US.srt
1. Intro.mp4
2. Terminologies-en_US.srt
2. Terminologies.mp4
3. Direct Proofs-en_US.srt
3. Direct Proofs.mp4
4. Proofs by Contrapositive-en_US.srt
4. Proofs by Contrapositive.mp4
5. Proofs by Contradiction-en_US.srt
5. Proofs by Contradiction.mp4
6. Exhaustion Proofs-en_US.srt
6. Exhaustion Proofs.mp4
7. Existence & Uniqueness Proofs-en_US.srt
7. Existence & Uniqueness Proofs.mp4
8. Proofs by Induction-en_US.srt
8. Proofs by Induction.mp4
9. Examples-en_US.srt
9. Examples.mp4
Induction.pdf
5. Functions
1. Intro-en_US.srt
1. Intro.mp4
10. Function Composition-en_US.srt
10. Function Composition.mp4
11. Function Combination-en_US.srt
11. Function Combination.mp4
12. Even and Odd Functions-en_US.srt
12. Even and Odd Functions.mp4
13. One to One (Injective) Functions-en_US.srt
13. One to One (Injective) Functions.mp4
14. Onto (Surjective) Functions-en_US.srt
14. Onto (Surjective) Functions.mp4
15. Inverse Functions-en_US.srt
15. Inverse Functions.mp4
16. Long Division-en_US.srt
16. Long Division.mp4
2. Functions-en_US.srt
2. Functions.mp4
3. Evaluating a Function-en_US.srt
3. Evaluating a Function.mp4
4. Domains-en_US.srt
4. Domains.mp4
5. Range-en_US.srt
5. Range.mp4
6. Graphs-en_US.srt
6. Graphs.mp4
7. Graphing Calculator-en_US.srt
7. Graphing Calculator.mp4
8. Extracting Info from a Graph-en_US.srt
8. Extracting Info from a Graph.mp4
9. Domain & Range from a Graph-en_US.srt
9. Domain & Range from a Graph.mp4
6. Relations
1. Intro-en_US.srt
1. Intro.mp4
2. The Language of Relations-en_US.srt
2. The Language of Relations.mp4
3. Relations on Sets-en_US.srt
3. Relations on Sets.mp4
4. The Inverse of a Relation-en_US.srt
4. The Inverse of a Relation.mp4
5. Reflexivity, Symmetry and Transitivity-en_US.srt
5. Reflexivity, Symmetry and Transitivity.mp4
6. Examples-en_US.srt
6. Examples.mp4
7. Properties of Equality & Less Than-en_US.srt
7. Properties of Equality & Less Than.mp4
8. Equivalence Relation-en_US.srt
8. Equivalence Relation.mp4
9. Equivalence Class-en_US.srt
9. Equivalence Class.mp4
7. Graph Theory
1. Intro-en_US.srt
1. Intro.mp4
10. Walks, Trails, Paths, and Circuits-en_US.srt
10. Walks, Trails, Paths, and Circuits.mp4
11. Examples-en_US.srt
11. Examples.mp4
12. Eccentricity, Diameter, and Radius-en_US.srt
12. Eccentricity, Diameter, and Radius.mp4
13. Connectedness-en_US.srt
13. Connectedness.mp4
14. Euler Trails and Circuits-en_US.srt
14. Euler Trails and Circuits.mp4
15. Fleury’s Algorithm-en_US.srt
15. Fleury’s Algorithm.mp4
16. Hamiltonian Paths and Circuits-en_US.srt
16. Hamiltonian Paths and Circuits.mp4
17. Ore's Theorem-en_US.srt
17. Ore's Theorem.mp4
18. The Shortest Path Problem-en_US.srt
18. The Shortest Path Problem.mp4
2. Graphs-en_US.srt
2. Graphs.mp4
3. Subgraphs-en_US.srt
3. Subgraphs.mp4
4. Degree-en_US.srt
4. Degree.mp4
5. Sum of Degrees of Vertices Theorem-en_US.srt
5. Sum of Degrees of Vertices Theorem.mp4
6. Adjacency and Incidence-en_US.srt
6. Adjacency and Incidence.mp4
7. Adjacency Matrix-en_US.srt
7. Adjacency Matrix.mp4
8. Incidence Matrix-en_US.srt
8. Incidence Matrix.mp4
9. Isomorphism-en_US.srt
9. Isomorphism.mp4
8. Statistics
1. Intro-en_US.srt
1. Intro.mp4
2. Terminologies-en_US.srt
2. Terminologies.mp4
3. Mean-en_US.srt
3. Mean.mp4
4. Median-en_US.srt
4. Median.mp4
5. Mode-en_US.srt
5. Mode.mp4
6. Range-en_US.srt
6. Range.mp4
7. Outlier-en_US.srt
7. Outlier.mp4
8. Variance-en_US.srt
8. Variance.mp4
9. Standard Deviation-en_US.srt
9. Standard Deviation.mp4
9. Combinatorics
1. Intro-en_US.srt
1. Intro.mp4
2. Factorials-en_US.srt
2. Factorials.mp4
3. The Fundamental Counting Principle-en_US.srt
3. The Fundamental Counting Principle.mp4
4. Permutations-en_US.srt
4. Permutations.mp4
5. Combinations-en_US.srt
5. Combinations.mp4
6. Pigeonhole Principle-en_US.srt
6. Pigeonhole Principle.mp4
7. Pascal's Triangle-en_US.srt
7. Pascal's Triangle.mp4
Bonus Resources.txt
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