MATH 132 • Discrete Mathematics • Midterm I
Konular
Sets and Functions
Injective Functions
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Surjective Functions
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Bijective Function
Image of a Set
Example 1
Proof Example For Image of a Function
Preimage of a Set
Example 1
Example 2
Proof Example for Preimage of a Function
Example 1
Cardinality
Definition
Example 1
Countable Sets
Properties of Countable Sets
Example 1
Uncountable Sets
Induction
Introduction
Proof of Formulas by Induction
Example 1
Example 2
Exam-like Question 1
Exam-like Question 2
Proof of Divisibility by Induction
Example 1
Example 2
Exam-like Question 1
Exam-like Question 2
Proof of Inequality by Induction
Example 1
Example 2
Example 3
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Induction Related to Fibonacci
Exam-like Question 1
Strong Induction
Example 1
Number Theory
Definition of Divisibility
Example 1
Example 2
Example 3
Division Algorithm
Definition of Modular Arithmetic
Example 1
Properties of Modular Arithmetic
Example 1
Example 2
GCD Greatest Common Divisor
LCM Least Commun Multiple
Euclidian Algorithm
Example 1
Bézout Identity
Example 1
Example 2
Example 3
Inverse of a Number in Modular Arithmetic
Fermat's Little Theorem
Solving Linear Congruences
Example 1
Example 2
Chinese Remainder Theorem
Example 1
Example 2
Example 3
Example 4
Pigeonhole Principle
Pigeonhole Principle
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Past Exam Questions
Sets and Functions 1
Cardinality 1
Cardinality 2
Cardinality 3
Cardinality 4
Cardinality 5
Cardinality 6
Cardinality 7
Number Theory 1
Number Theory 2
Number Theory 3
Number Theory 4
Number Theory 5
Number Theory 6
Number Theory 7
Number Theory 8
Number Theory 9
Number Theory 10
Number Theory 11
Number Theory 12
Induction 1
Induction 2
Induction 3
Induction 4
Induction 5
Induction 6
Induction 7
Induction 8
Induction & Number Theory
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Pigeonhole Principle 4
Pigeonhole Principle 5
Eğitmen
Eğitmen
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.
Konular
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