Yeditepe biz geldik ! Math 154 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımlarıyla öğrenecek, sonrasında son yıllardaki Math 154 sınavlarında çıkmış sorularla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler sırasıyla: 1) Combination and Permutation 2) Binomial Theorem 3) Discrete Probability 4) Axioms of Probability 5) The Pigeonhole Principle 6) Principle of Inclusion and Exclusion 7) Propositional Logic
Counting: Standart Models
Introduction to Counting
Combination & Permutation: Intuition
Combination
Permutation 1
Permutation 2
Binomial Coefficients and Identities
Binomial Theorem
Example 1
Example 2
Example 3
Pascal Identity
Vandermonde's Identity
Example 4
Combinatorial Proof
Example 5
Discrete Probability
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
Intuition of Conditional Probability
Conditional Probability 1
Conditional Probability 2
Example 1
Example 2
Total Probability Rule
Discrete Random Variables
Expected Value
Variance
Expected Value and Variance Arithmetic
Sample Midterm Problems I
Counting Standard Models 1
Counting Standard Models 2
Counting Standard Models 3
Counting Standard Models 4
Counting Standard Models 5
Counting Standard Models 6
Counting Standard Models 7
Counting Standard Models 8
Counting Standard Models & Binomial Coefficients 1
Combinatorial Proof 1
Discrete Probability 1
Discrete Probability 2
Discrete Probability 3
Discrete Probability 4
Discrete Probability 5
Discrete Probability 6
Discrete Probability 7
Pigeonhole Principle
Pigeonhole Principle
Example 1
Example 2
Example 3
Example 4
Example 5
Combination with Repetition
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Example 1
Example 2
Example 3
Example 4
Example 5
Principle Inclusion - Exclusion
Principle Inclusion-Exclusion
Example 1
Example 2
Sample Midterm Problems II
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Pigeonhole Principle 4
Pigeonhole Principle 5
Combination with Repetition 1
Combination with Repetition 2
Combination with Repetition 3
Combination with Repetition 4
Combination with Repetition 5
Principle Inclusion - Exclusion 1
Principle Inclusion - Exclusion 2
Principle Inclusion - Exclusion & Combination with Repetition
Propositional Logic
Introduction
Negation of a Proposition
Compound Propositions
Truth Table 1
Truth Table 2
Tautology
Contradiction
Converse Inverse Contrapositive
Practice Problem 1
Practice Problem 2
Practice Problem 3
Logical Equivalences
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Example 1
Example 2
Example 3
Example 4
Quantifiers
Universal Quantifiers
Existential Quantifiers
Truth Value of Propositions with Quantifiers
Example 1
Example 2
Nested Quantifiers
Example 3
Example 4
Negation of Nested Quantifiers
Example 5
Sample Midterm Problems III
Truth Table & Tautology
Logical Equivalances 1
Logical Equivalances 2
Logical Equivalances 3
Logical Equivalances 4
Tautology
Quantifiers 1
Quantifiers 2
Quantifiers 3
Quantifiers 4
Quantifiers 5
Nested Quantifiers 1
Nested Quantifiers 2
Past Midterm Questions
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.
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