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Что входит в курс
- 9 ч 38 мин видео
- 85 уроков
- Уровень: Средний
- Язык: English
- Помним, где вы остановились
- Полностью бесплатно, без карты
Уроки
9 разделов · 85 уроков · 9 ч 38 мин общая длительность
Уроки 1–1010 уроков · 59 мин
- Intro to Discrete Math - Welcome to the Course!6 мин
- Intro to Sets | Examples, Notation & Properties7 мин
- Set-Roster vs Set-Builder notation5 мин
- The Empty Set & Vacuous Truth4 мин
- Cartesian Product of Two Sets A x B7 мин
- Relations between two sets | Definition + First Examples7 мин
- The intuitive idea of a function6 мин
- Formal Definition of a Function using the Cartesian Product6 мин
- Example: Is this relation a function?5 мин
- Intro to Logical Statements6 мин
Уроки 11–2010 уроков · 44 мин
- Intro to Truth Tables | Negation, Conjunction, and Disjunction6 мин
- Truth Table Example: ~p V ~q3 мин
- Logical Equivalence of Two Statements4 мин
- Tautologies and Contradictions4 мин
- 3 Ways to Show a Logical Equivalence | Ex: DeMorgan's Laws5 мин
- Conditional Statements: if p then q7 мин
- Vacuously True Statements2 мин
- Negating a Conditional Statement3 мин
- Contrapositive of a Conditional Statement5 мин
- The converse and inverse of a conditional statement5 мин
Уроки 21–3010 уроков · 1 ч 1 мин
- Biconditional Statements | "if and only if"3 мин
- Logical Arguments - Modus Ponens & Modus Tollens9 мин
- Logical Argument Forms: Generalizations, Specialization, Contradiction3 мин
- Analyzing an argument for validity2 мин
- Predicates and their Truth Sets6 мин
- Universal and Existential Quantifiers, ∀ "For All" and ∃ "There Exists"10 мин
- Negating Universal and Existential Quantifiers8 мин
- Negating Logical Statements with Multiple Quantifiers9 мин
- Universal Conditionals P(x) implies Q(x)3 мин
- Necessary and Sufficient Conditions8 мин
Уроки 31–4010 уроков · 1 ч 25 мин
- Formal Definitions in Math | Ex: Even & Odd Integers3 мин
- How to Prove Math Theorems | 1st Ex: Even + Odd = Odd9 мин
- Step-By-Step Guide to Proofs | Ex: product of two evens is even19 мин
- Rational Numbers | Definition + First Proof7 мин
- Proving that divisibility is transitive11 мин
- Disproving implications with Counterexamples8 мин
- Proof by Division Into Cases6 мин
- Proof by Contradiction | Method & First Example9 мин
- Proof by Contrapositive | Method & First Example4 мин
- Quotient-Remainder Theorem and Modular Arithmetic10 мин
Уроки 41–5010 уроков · 1 ч 16 мин
- Proof: There are infinitely many primes numbers7 мин
- Introduction to sequences6 мин
- The formal definition of a sequence.4 мин
- The sum and product of finite sequences9 мин
- Intro to Mathematical Induction12 мин
- Induction Proofs Involving Inequalities.7 мин
- Strong Induction // Intro and Full Example10 мин
- Recursive Sequences8 мин
- The Miraculous Fibonacci Sequence6 мин
- Prove A is a subset of B with the ELEMENT METHOD7 мин
Уроки 51–6010 уроков · 53 мин
- Proving equalities of sets using the element method3 мин
- The union of two sets5 мин
- The Intersection of Two Sets6 мин
- Universes and Complements in Set Theory3 мин
- Using the Element Method to prove a Set Containment w/ Modus Tollens4 мин
- Power Sets and the Cardinality of the Continuum15 мин
- Relations and their Inverses3 мин
- Reflexive, Symmetric, and Transitive Relations on a Set7 мин
- Equivalence Relations - Reflexive, Symmetric, and Transitive5 мин
- You need to check EVERY spot for reflexivity, symmetry, and transitivity4 мин
Уроки 61–7010 уроков · 1 ч 20 мин
- Introduction to probability // Events, Sample Space, Formula, Independence9 мин
- Example: Computing Probabilities using P(E)=N(E)/N(S)2 мин
- What is the probability of guessing a 4 digit pin code?6 мин
- Counting with Triple Intersections // Example & Formula11 мин
- Permutations: How many ways to rearrange the letters in a word?7 мин
- The summation rule for disjoint unions6 мин
- Counting formula for two intersecting sets: N(A union B)=N(A)+N(B)-N(A intersect B)8 мин
- Combinations Formula: Counting the number of ways to choose r items from n items.7 мин
- How many ways are there to reorder the word MISSISSIPPI? // Choose Formula Example7 мин
- Counting and Probability Walkthrough17 мин
Уроки 71–8010 уроков · 1 ч 35 мин
- Intro to Conditional Probability6 мин
- Two Conditional Probability Examples (what's the difference???)6 мин
- Conditional Probability With Tables | Chance of an Orange M&M???10 мин
- Bayes' Theorem - The Simplest Case6 мин
- Bayes' Theorem Example: Surprising False Positives13 мин
- Bayes' Theorem - Example: A disjoint union9 мин
- IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability13 мин
- Intro to Markov Chains & Transition Diagrams11 мин
- Markov Chains & Transition Matrices7 мин
- Intro to Linear Programming14 мин
Уроки 81–855 уроков · 26 мин
- Intro to Graph Theory | Definitions & Ex: 7 Bridges of Konigsberg6 мин
- Properties in Graph Theory: Complete, Connected, Subgraph, Induced Subgraph4 мин
- Degree of Vertices | Definition, Theorem & Example | Graph Theory5 мин
- Euler Paths & the 7 Bridges of Konigsberg | Graph Theory6 мин
- The End of Discrete Math - Congrats! Some final thoughts...4 мин
Что нужно
- Пригодится база: курс продолжает с уровня выше начального.
Описание
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.
Кому подойдёт курс
- Тем, кто знает основы Наука и хочет дальше.
Эти два пункта — наш вывод из уровня курса. Описание принадлежит автору.