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5

جامعة الإمام محمد بن سعود

Created by هديل المديني

Last update 2024-08-18

العربية English

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- CHAPTER 1: Logic Theory
- CAPTER 2: Fundamental Structure
  - What is Discrete Structure? 06:40
  - Sets 21:56
  - Equal Sets - Empty Set - Singleton Set - Venn Diagram 13:31
  - Subset - Superset - Proper Subsets 23:33
  - Important Examples about Subset and Prober Subset 15:37
  - Cardinality and Cartesian Product 20:25
  - Power Set 12:48
  - Union - Intersection - Disjoint - Difference 23:41
  - Complement - Set Identities 23:52
  - Inclusion- Exclusion Theory 14:41
  - Computer Representation of Sets 27:49
  - Relations 28:31
  - Functions and Relation on a Set 24:50
  - Properties of Relations 20:14
  - Example about Properties of Relation 29:57
  - Another Example about Properties of Relation 13:30
  - Equivalence Relation 27:53
  - Partial Ordering- Comparable Elements- Total Order - Well Ordered 27:56
  - Functions 23:55
  - More Examples about Function 17:56
  - Injection Function 21:30
  - Surjection and Bijection Function 22:49
  - Inverse Function 16:20
  - Composite of Two Functions 26:46
  - The Graph - Familiar Function 18:49
  - Prove set Identities by Vin Diagram and Membership Table (عال ١٠٤ فقط) 20:27
  - Tutorial 3 (عبارة عن حل مجموعة تمارين من الكتاب عن جابتر ١) 01:20:19
  - ملخص + مراجعة لجابتر ٢ 01:04:13
  - Examples about Partial Ordering 17:46
- CHAPTER 3: Proof Techniques
  - Introduction to proof 13:36
  - Introduction to Proof (Direct Proof Part 1) 34:02
  - Introduction to Proof (Direct Proof Part 2) 39:26
  - Vacuous and Trivial proof 29:57
  - Proof by Contradiction (part 1) 30:08
  - Proof by Contradiction (part 2) 14:53
  - More Examples about Proof by Contradiction 12:24
  - Counterexample 13:17
  - Proof by Contrapositive (عال 104 وبعض شعب عال 114) 26:38
  - Proof of Equivalence (عال ١٠٤) 11:01
  - Proof by Cases (عال ١٠٤) 25:48
  - Existence Proof (عال ١٠٤) 15:12
  - Uniqueness Proof (عال ١٠٤)
  - Introduction to Mathematical Induction (عال ١١٤ ) 06:53
  - Principle of Mathematical Induction 18:52
  - Example about Mathematical Induction Part1 16:49
  - Example about Mathematical Induction Part2 23:42
  - Many Example about Principle of Mathematical induction 33:38
  - Strong Induction (عال ١١٤ فقط) 28:32
  - Well Ordering Property (فقط عال ١١٤) 23:02
  - Recursive Definition Part1 18:57
  - Recursive Definition Part 2 20:36
  - Structural Induction (عال ١١٤ فقط) 34:47
  - Structural induction - Well Formed Formula (عال ١١٤ فقط) 27:57
  - تتوريال ٤ 44:10
  - Recursive Algorithm (عال ١٠٤ فقط) 10:56
  - Example about Proof by Contrapositive (عال 104 وبعض شعب عال 114) 06:11
  - Tutorial 5 (Induction and Recursion) 02:21:45
  - Explain Strong Induction Again with More Examples (عال 114 فقط) 01:03:22
  - Example 5: Mathematical Induction 08:19
- CHAPTER 4: Machine Level Representation of Data (عال ١١٤ فقط)
  - Number System 09:04
  - More Information about Binary System 17:16
  - Convert From ( Binary, Octal, Hexadecimal) to Decimal 33:32
  - Convert From Decimal to (Binary, Octal, Hexadecimal) 33:53
  - Convert (From Octal to Binary) and (From Binary to Octal) 11:46
  - Convert (From Binary to Hexadecimal) and (From Hexadecimal to Binary) 08:50
  - Convert (From Hexadecimal to Octal) and (From Octal to Hexadecimal) 10:58
  - Introduction to Signed Binary Numbers (Signed Magnitude) 36:57
  - 1's Complement and 2's Complement 20:24
  - Binary Addition and Subtraction 33:23
  - Examples of Adding and Subtracting Binary Numbers - Overflow 25:40
  - Floating Point Representation 30:47
  - BCD Code 11:58
  - Tutorial 6 (Machine Level Representation of Data) 50:09
- Chapter 4: Counting (عال ١٠٤ فقط)
  - Product Rule 16:49
  - Generalized Product Rule 21:38
  - Sum Rule 16:03
  - Principle of Inclusion-Exclusion (Subtraction Rule) 20:29
  - Counting Using Tree Digram 17:36
  - Pigeonhole Principle 19:51
  - Generalize Pigeonhole Principle 17:52
  - Permutation 29:24
  - Combination 15:01
  - Binomial Theorem 25:08
  - Proving corollary by Using Binomial Theorem 07:29
  - Tutorial 4 (Counting ) 32:00
- CHAPTER 5: Graph (عال ١٠٤ فقط)
  - Introduction to Graph 09:22
  - What is Graph ? 37:32
  - Types of Graph, Especial Graph, Bipartite Graph, Subgraph 42:32
  - Path - Connected Graph 26:18
  - Hamilton and Euler Paths - Spanning Tree 30:30
  - Isomorphic Graph - Adjacency Matrix 29:34
  - Adjacency List - Incidence Matrix 15:23
  - Tutorial 5 (Graph) 41:59
- Problem Set (عال 104)
  - Problem Set #1 41:50
  - Problem Set #2 37:41
  - Problem Set #3 52:45
  - Problem Set #4 01:16:15
- Exam
  - Quiz 1 (أسئلة من أ. هديل) 21:35
  - Mid 1 ( النموذج الأول ) 33:43
  - Mid 1 ( النموذج الثاني ٢٠٢٠ ) 34:58
  - Mid 1 (النموذج الثالث) 35:02
  - Mid 2 (النموذج الأول) 41:22
  - Final (النموذج الأول) 01:47:17
  - Quiz 1 (النموذج الأول عام 2021) 08:40
  - Quiz 1 (النموذج الثاني عام 2022) 07:18
  - Quiz 2 (النموذج الأول) - عال 114 32:55
  - Mid 1 (النموذج الرابع 2021) 28:46
  - Mid 2 (النموذج الثاني) 51:09
  - Quiz 1 (تجميعات كويز 1 لعام 2023 الترم الثاني ) 39:44
  - Quiz 3 (2023 2end term) 01:07:43
  - Mid 1 (النموذج الخامس 2022) 58:10
  - نموذج كويز 5 عال 114 (ch 4 : machine level representation) 30:58
  - Mid 1 ( النموذج السادس 1444 الترم الثاني ) - عال 114 59:29
  - Final (عال 114 عام 1444 الترم الاول) 01:27:14
- تتوريال
  - tutorial 1 (Propostion) 01:07:11
  - Tutorial 2 (Predicate - Quantifier - Inference rule) 53:54
  - tutorial 3 (Set - Relation - Function) 01:20:19
  - Tutorial 4 (Introduction to proof) 44:10
  - Tutorial 5 (Induction and Recursion) 02:21:45
  - tutorial 4: counting (عال 104) 32:00
  - Tutorial 6 : Machine Level Representation of Data (عال 114 فقط) 50:09
  - Tutorial 5: Graph (عال 104) 41:59
- live
  - live for mid 1 52:26
- Chapter 2 Basic Structures: Sets
  - 2.1. Sets 28:10
  - 2.1 equal sets and Venn diagram 09:11
  - 2.1 subset 27:40
  - 2.1 cardinality and power set 21:20
  - 2.1 Cartesian product 21:41
  - 2.1 intervals 08:46
  - 2.2 union , intersection and disjoint set 13:26
  - 2.2 difference and complement 10:59
  - 2.2 examples 10:14
- Exercises of math 151
  - 1.1 propositional logic 35:51
  - 1.3 propositional equivalence 50:55
  - 1.4 Predicates and Quantifiers 30:03
  - 1.6 Rules of Inference 17:31
  - 1.7 Introduction to Proofs 27:56
  - 1.8 Proof Methods and Strategy 26:58
  - 2.1 Sets 23:12
  - 2.2 Set Operations 11:32
  - 5.1 Mathematical Induction part 1 17:30
  - 5.1 Mathematical Induction part 2 13:31
  - 5.1 Mathematical induction part 3 28:28
  - 5-2 Strong Induction Part 1 15:34
  - 9.1 Relations and their Properties part 1 35:44
  - 9.1 Relations and their Properties part 2 47:05
  - 9.1 Relations and their Properties part 3 09:32
  - 9.3 representing relation 18:56
  - 9.4 closures of relations part1 13:38
  - 9.4 closures of relations part2 10:42
  - 9.5 equivalence relation 48:34
  - 10.1 graphs 09:09
  - 10-2 Graph Terminology and Special Types of Graphs part1 13:38
  - 10-2 Graph Terminology and Special Types of Graphs part2 31:12
  - 10.3 graph isomorphsim 16:54
  - 9.6 partial ordering 16:20
  - 10.4 connectivity 09:49
  - 10.7 planar graphs 10:03
  - 11.1 introduction to tree 14:08
  - 11.2 application of trees 10:59
  - 11.4 spanning tree 08:21
  - 12.1 boolean function 24:07
  - 12.2 representing boolean function 14:37
  - 12.3 logic gates 10:35
  - 12.4 minimization of circuits 44:47
  - 5.2 Strong induction Part 2 39:00
  - 9.3 Representing Relations (by Matrices) 30:34
- CHAPTER 2: Functions, Sequences and Sums
  - Definition of Functions 22:19
  - Domain and Codomain 15:13
  - Exercise about Domain, Codomain and range 15:56
  - One to One , Onto and Bijection Function 24:31
  - Prove or Disprove Onto and One to One Function 26:39
  - Examples about Bijection Function 23:20
  - The Domain of Function 16:56
  - The Inverse Function 12:22
  - Composite of Two Functions 21:47
  - More Examples about Composite Functions 14:33
  - Sequences 23:06
  - Exercises about Sequences 19:45
  - Summation 25:42
  - ملخص + مراجعة شاملة لجابتر ٢ 45:29
- Chapter 9 Relations
  - 9.1 introduction to relation 12:23
  - 9.1 relation on a set 12:05
  - 9.1 properties of relation 28:19
  - 9.1 more examples 20:54
  - 9.1 combining relations 13:41
  - 9.1 composite 23:30
  - 9.3 representing relation By Diagraph 19:09
  - 9.4 closure 31:50
  - 9.4 connectivity relation 19:05
  - 9.5 equivalence relation 24:42
  - 9.5 equivalence classes 15:33
  - 9.5 partition 14:38
  - 9.6 partial ordering 15:34
  - 9.6 hasse diagram 12:55
  - 9.3 Representing Relation by Matrix 26:57
  - 9.3 Represent union , Intersection and Composition by Matrix 36:37
- CAPTER 2: Fundamental Structure
  - What is Discrete Structure? 06:40
  - Sets 21:56
  - Equal Sets - Empty Set - Singleton Set - Venn Diagram 13:31
  - Subset - Superset - Proper Subsets 23:33
  - Important Examples about Subset and Prober Subset 15:37
  - Cardinality and Cartesian Product 20:25
  - Power Set 12:48
  - Union - Intersection - Disjoint - Difference 23:41
  - Complement - Set Identities 23:52
  - Inclusion- Exclusion Theory 14:41
  - Computer Representation of Sets 27:49
  - Relations 28:31
  - Functions and Relation on a Set 24:50
  - Properties of Relations 20:14
  - Example about Properties of Relation 29:57
  - Another Example about Properties of Relation 13:30
  - Equivalence Relation 27:53
  - Partial Ordering- Comparable Elements- Total Order - Well Ordered 27:56
  - Functions 23:55
  - More Examples about Function 17:56
  - Injection Function 21:30
  - Surjection and Bijection Function 22:49
  - Inverse Function 16:20
  - Composite of Two Functions 26:46
  - The Graph - Familiar Function 18:49
  - Prove set Identities by Vin Diagram and Membership Table (عال ١٠٤ فقط) 20:27
  - Tutorial 3 (عبارة عن حل مجموعة تمارين من الكتاب عن جابتر ١) 01:20:19
  - ملخص + مراجعة لجابتر ٢ 01:04:13
  - Examples about Partial Ordering 17:46
- CHAPTER 3: Proof Techniques
  - Introduction to proof 13:36
  - Introduction to Proof (Direct Proof Part 1) 34:02
  - Introduction to Proof (Direct Proof Part 2) 39:26
  - Vacuous and Trivial proof 29:57
  - Proof by Contradiction (part 1) 30:08
  - Proof by Contradiction (part 2) 14:53
  - More Examples about Proof by Contradiction 12:24
  - Counterexample 13:17
  - Proof by Contrapositive (عال 104 وبعض شعب عال 114) 26:38
  - Proof of Equivalence (عال ١٠٤) 11:01
  - Proof by Cases (عال ١٠٤) 25:48
  - Existence Proof (عال ١٠٤) 15:12
  - Uniqueness Proof (عال ١٠٤)
  - Introduction to Mathematical Induction (عال ١١٤ ) 06:53
  - Principle of Mathematical Induction 18:52
  - Example about Mathematical Induction Part1 16:49
  - Example about Mathematical Induction Part2 23:42
  - Many Example about Principle of Mathematical induction 33:38
  - Strong Induction (عال ١١٤ فقط) 28:32
  - Well Ordering Property (فقط عال ١١٤) 23:02
  - Recursive Definition Part1 18:57
  - Recursive Definition Part 2 20:36
  - Structural Induction (عال ١١٤ فقط) 34:47
  - Structural induction - Well Formed Formula (عال ١١٤ فقط) 27:57
  - تتوريال ٤ 44:10
  - Recursive Algorithm (عال ١٠٤ فقط) 10:56
  - Example about Proof by Contrapositive (عال 104 وبعض شعب عال 114) 06:11
  - Tutorial 5 (Induction and Recursion) 02:21:45
  - Explain Strong Induction Again with More Examples (عال 114 فقط) 01:03:22
  - Example 5: Mathematical Induction 08:19
just for keep
هديل المديني

• Hadeel Mohammed Almadiny. • Lecturer in Vision Academy. • Specialty in mathematics. • Graduated from (KSU)with calss honor. ~ Experiences: • teacher in international school. • English language. • Strategic teaching course. ~ Achievements: • Title of scientific meeting leader in KSU.

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