İlgili konular
Bu kursta neler var
- 9 sa 38 dk video
- 85 ders
- Seviye: Orta
- Dil: English
- Nerede kaldığını hatırlıyoruz
- Tamamen ücretsiz, kartsız
Dersler
9 bölüm · 85 ders · 9 sa 38 dk toplam süre
1–10. dersler10 ders · 59 dk
- Intro to Discrete Math - Welcome to the Course!6 dk
- Intro to Sets | Examples, Notation & Properties7 dk
- Set-Roster vs Set-Builder notation5 dk
- The Empty Set & Vacuous Truth4 dk
- Cartesian Product of Two Sets A x B7 dk
- Relations between two sets | Definition + First Examples7 dk
- The intuitive idea of a function6 dk
- Formal Definition of a Function using the Cartesian Product6 dk
- Example: Is this relation a function?5 dk
- Intro to Logical Statements6 dk
11–20. dersler10 ders · 44 dk
- Intro to Truth Tables | Negation, Conjunction, and Disjunction6 dk
- Truth Table Example: ~p V ~q3 dk
- Logical Equivalence of Two Statements4 dk
- Tautologies and Contradictions4 dk
- 3 Ways to Show a Logical Equivalence | Ex: DeMorgan's Laws5 dk
- Conditional Statements: if p then q7 dk
- Vacuously True Statements2 dk
- Negating a Conditional Statement3 dk
- Contrapositive of a Conditional Statement5 dk
- The converse and inverse of a conditional statement5 dk
21–30. dersler10 ders · 1 sa 1 dk
- Biconditional Statements | "if and only if"3 dk
- Logical Arguments - Modus Ponens & Modus Tollens9 dk
- Logical Argument Forms: Generalizations, Specialization, Contradiction3 dk
- Analyzing an argument for validity2 dk
- Predicates and their Truth Sets6 dk
- Universal and Existential Quantifiers, ∀ "For All" and ∃ "There Exists"10 dk
- Negating Universal and Existential Quantifiers8 dk
- Negating Logical Statements with Multiple Quantifiers9 dk
- Universal Conditionals P(x) implies Q(x)3 dk
- Necessary and Sufficient Conditions8 dk
31–40. dersler10 ders · 1 sa 25 dk
- Formal Definitions in Math | Ex: Even & Odd Integers3 dk
- How to Prove Math Theorems | 1st Ex: Even + Odd = Odd9 dk
- Step-By-Step Guide to Proofs | Ex: product of two evens is even19 dk
- Rational Numbers | Definition + First Proof7 dk
- Proving that divisibility is transitive11 dk
- Disproving implications with Counterexamples8 dk
- Proof by Division Into Cases6 dk
- Proof by Contradiction | Method & First Example9 dk
- Proof by Contrapositive | Method & First Example4 dk
- Quotient-Remainder Theorem and Modular Arithmetic10 dk
41–50. dersler10 ders · 1 sa 16 dk
- Proof: There are infinitely many primes numbers7 dk
- Introduction to sequences6 dk
- The formal definition of a sequence.4 dk
- The sum and product of finite sequences9 dk
- Intro to Mathematical Induction12 dk
- Induction Proofs Involving Inequalities.7 dk
- Strong Induction // Intro and Full Example10 dk
- Recursive Sequences8 dk
- The Miraculous Fibonacci Sequence6 dk
- Prove A is a subset of B with the ELEMENT METHOD7 dk
51–60. dersler10 ders · 53 dk
- Proving equalities of sets using the element method3 dk
- The union of two sets5 dk
- The Intersection of Two Sets6 dk
- Universes and Complements in Set Theory3 dk
- Using the Element Method to prove a Set Containment w/ Modus Tollens4 dk
- Power Sets and the Cardinality of the Continuum15 dk
- Relations and their Inverses3 dk
- Reflexive, Symmetric, and Transitive Relations on a Set7 dk
- Equivalence Relations - Reflexive, Symmetric, and Transitive5 dk
- You need to check EVERY spot for reflexivity, symmetry, and transitivity4 dk
61–70. dersler10 ders · 1 sa 20 dk
- Introduction to probability // Events, Sample Space, Formula, Independence9 dk
- Example: Computing Probabilities using P(E)=N(E)/N(S)2 dk
- What is the probability of guessing a 4 digit pin code?6 dk
- Counting with Triple Intersections // Example & Formula11 dk
- Permutations: How many ways to rearrange the letters in a word?7 dk
- The summation rule for disjoint unions6 dk
- Counting formula for two intersecting sets: N(A union B)=N(A)+N(B)-N(A intersect B)8 dk
- Combinations Formula: Counting the number of ways to choose r items from n items.7 dk
- How many ways are there to reorder the word MISSISSIPPI? // Choose Formula Example7 dk
- Counting and Probability Walkthrough17 dk
71–80. dersler10 ders · 1 sa 35 dk
- Intro to Conditional Probability6 dk
- Two Conditional Probability Examples (what's the difference???)6 dk
- Conditional Probability With Tables | Chance of an Orange M&M???10 dk
- Bayes' Theorem - The Simplest Case6 dk
- Bayes' Theorem Example: Surprising False Positives13 dk
- Bayes' Theorem - Example: A disjoint union9 dk
- IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability13 dk
- Intro to Markov Chains & Transition Diagrams11 dk
- Markov Chains & Transition Matrices7 dk
- Intro to Linear Programming14 dk
81–85. dersler5 ders · 26 dk
- Intro to Graph Theory | Definitions & Ex: 7 Bridges of Konigsberg6 dk
- Properties in Graph Theory: Complete, Connected, Subgraph, Induced Subgraph4 dk
- Degree of Vertices | Definition, Theorem & Example | Graph Theory5 dk
- Euler Paths & the 7 Bridges of Konigsberg | Graph Theory6 dk
- The End of Discrete Math - Congrats! Some final thoughts...4 dk
Ne gerekiyor
- Temel bilgi işe yarar: kurs temellerin ötesinden devam ediyor.
Açıklama
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.
Bu kurs kimin için
- Bilim temellerini bilenler.
Bu iki madde kursun seviyesinden çıkardığımız sonuç. Açıklama yazarın kendisine ait.