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Este curso inclui
- 9 h 38 min de vídeo
- 85 lições
- Nível: Intermediário
- Idioma: English
- Guardamos onde ficaste
- Totalmente grátis, sem cartão
Aulas
9 secções · 85 aulas · 9 h 38 min duração total
Lições 1 a 1010 aulas · 59 min
- Intro to Discrete Math - Welcome to the Course!6 min
- Intro to Sets | Examples, Notation & Properties7 min
- Set-Roster vs Set-Builder notation5 min
- The Empty Set & Vacuous Truth4 min
- Cartesian Product of Two Sets A x B7 min
- Relations between two sets | Definition + First Examples7 min
- The intuitive idea of a function6 min
- Formal Definition of a Function using the Cartesian Product6 min
- Example: Is this relation a function?5 min
- Intro to Logical Statements6 min
Lições 11 a 2010 aulas · 44 min
- Intro to Truth Tables | Negation, Conjunction, and Disjunction6 min
- Truth Table Example: ~p V ~q3 min
- Logical Equivalence of Two Statements4 min
- Tautologies and Contradictions4 min
- 3 Ways to Show a Logical Equivalence | Ex: DeMorgan's Laws5 min
- Conditional Statements: if p then q7 min
- Vacuously True Statements2 min
- Negating a Conditional Statement3 min
- Contrapositive of a Conditional Statement5 min
- The converse and inverse of a conditional statement5 min
Lições 21 a 3010 aulas · 1 h 1 min
- Biconditional Statements | "if and only if"3 min
- Logical Arguments - Modus Ponens & Modus Tollens9 min
- Logical Argument Forms: Generalizations, Specialization, Contradiction3 min
- Analyzing an argument for validity2 min
- Predicates and their Truth Sets6 min
- Universal and Existential Quantifiers, ∀ "For All" and ∃ "There Exists"10 min
- Negating Universal and Existential Quantifiers8 min
- Negating Logical Statements with Multiple Quantifiers9 min
- Universal Conditionals P(x) implies Q(x)3 min
- Necessary and Sufficient Conditions8 min
Lições 31 a 4010 aulas · 1 h 25 min
- Formal Definitions in Math | Ex: Even & Odd Integers3 min
- How to Prove Math Theorems | 1st Ex: Even + Odd = Odd9 min
- Step-By-Step Guide to Proofs | Ex: product of two evens is even19 min
- Rational Numbers | Definition + First Proof7 min
- Proving that divisibility is transitive11 min
- Disproving implications with Counterexamples8 min
- Proof by Division Into Cases6 min
- Proof by Contradiction | Method & First Example9 min
- Proof by Contrapositive | Method & First Example4 min
- Quotient-Remainder Theorem and Modular Arithmetic10 min
Lições 41 a 5010 aulas · 1 h 16 min
- Proof: There are infinitely many primes numbers7 min
- Introduction to sequences6 min
- The formal definition of a sequence.4 min
- The sum and product of finite sequences9 min
- Intro to Mathematical Induction12 min
- Induction Proofs Involving Inequalities.7 min
- Strong Induction // Intro and Full Example10 min
- Recursive Sequences8 min
- The Miraculous Fibonacci Sequence6 min
- Prove A is a subset of B with the ELEMENT METHOD7 min
Lições 51 a 6010 aulas · 53 min
- Proving equalities of sets using the element method3 min
- The union of two sets5 min
- The Intersection of Two Sets6 min
- Universes and Complements in Set Theory3 min
- Using the Element Method to prove a Set Containment w/ Modus Tollens4 min
- Power Sets and the Cardinality of the Continuum15 min
- Relations and their Inverses3 min
- Reflexive, Symmetric, and Transitive Relations on a Set7 min
- Equivalence Relations - Reflexive, Symmetric, and Transitive5 min
- You need to check EVERY spot for reflexivity, symmetry, and transitivity4 min
Lições 61 a 7010 aulas · 1 h 20 min
- Introduction to probability // Events, Sample Space, Formula, Independence9 min
- Example: Computing Probabilities using P(E)=N(E)/N(S)2 min
- What is the probability of guessing a 4 digit pin code?6 min
- Counting with Triple Intersections // Example & Formula11 min
- Permutations: How many ways to rearrange the letters in a word?7 min
- The summation rule for disjoint unions6 min
- Counting formula for two intersecting sets: N(A union B)=N(A)+N(B)-N(A intersect B)8 min
- Combinations Formula: Counting the number of ways to choose r items from n items.7 min
- How many ways are there to reorder the word MISSISSIPPI? // Choose Formula Example7 min
- Counting and Probability Walkthrough17 min
Lições 71 a 8010 aulas · 1 h 35 min
- Intro to Conditional Probability6 min
- Two Conditional Probability Examples (what's the difference???)6 min
- Conditional Probability With Tables | Chance of an Orange M&M???10 min
- Bayes' Theorem - The Simplest Case6 min
- Bayes' Theorem Example: Surprising False Positives13 min
- Bayes' Theorem - Example: A disjoint union9 min
- IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability13 min
- Intro to Markov Chains & Transition Diagrams11 min
- Markov Chains & Transition Matrices7 min
- Intro to Linear Programming14 min
Lições 81 a 855 aulas · 26 min
- Intro to Graph Theory | Definitions & Ex: 7 Bridges of Konigsberg6 min
- Properties in Graph Theory: Complete, Connected, Subgraph, Induced Subgraph4 min
- Degree of Vertices | Definition, Theorem & Example | Graph Theory5 min
- Euler Paths & the 7 Bridges of Konigsberg | Graph Theory6 min
- The End of Discrete Math - Congrats! Some final thoughts...4 min
O que precisas
- Ajuda ter bases: o curso segue a partir delas.
Descrição
A one-semester course on Discrete Math taught by Dr. Trefor Bazett Covers: Logical Statements, Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability.
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