تراكيب محددة الجزء الأول CS100
تراكيب محددة الجزء الأول
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CHAPTER 1: Sets and Sets Operations
- Set Definition 04:29
- Some Important Sets 05:32
- Notations Used to Describe Membership in a Sets 07:48
- How to Describe a Set 10:51
- Empty Set and Singleton Set 05:24
- Venn Diagram 04:58
- Subset 12:30
- Quick Examples about Subsets 05:54
- Finite and Infinite Sets 12:08
- The Power Set 14:44
- Cartesian Product 15:01
- Union and Intersection 09:20
- Disjoint Sets and Complement 09:27
- Difference and Symmetric Difference 07:12
- Set Identity 07:31
- Membership Table 12:37
- proof of De Morgan law Using Membership Table 15:18
- Proof by Membership Table 12:03
- Exercises Part 1 10:53
- Exercises Part 2 12:58
- Exercises Part 3 07:23
- Exercises Part 4 12:14
- Exercises Part 5 06:51
- ملخص + مراجعة شاملة لجابتر ١ 48:34
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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
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CHAPTER 3: Matrices
- What is the Meaning of Matrix ? 24:15
- Matrix Athematic 17:51
- Matrices Production Part 1 21:31
- Matrices Production Part 2 18:25
- Transpose and Symmetric Matrices 13:46
- Boolean Matrix and its Operation 24:12
- ملخص +مراجعة شاملة لجابتر ٣ 29:37
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CHAPTER 4: Relations
- Relation and How to Represent Relation 10:21
- Relation on a Set 17:35
- How Many Relation on a Set? 06:29
- Properties of Relation (Reflexive, Symmetric, Antisymmetric) 31:27
- Properties of Relation (Transtive) 21:38
- Inverse Relation ( and more example about Properties of relation) 22:32
- Combining Relation 06:43
- Composition 11:07
- Powers of Relations 14:28
- Representing Relation by Matrices 26:34
- Representing Relation by Digraph 15:22
- Digraph and Properties of Relation 32:31
- Closure of Relation 22:41
- Equivalence Relation 21:24
- Partition of a Set 21:04
- Partial Ordering 14:14
- ملخص + مراجعة لجابتر ٤ الجزء الأول 47:49
- ملخص + مراجعة لجابتر ٤ الجزء الثاني 46:06
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CHAPTER 5: Logic
- Proposition 08:22
- Negation - Conjunction 20:20
- Disjunction-Exclusive or 15:04
- Conditional Statement - Inverse,Converse and Contrapostive 21:56
- Bioconditional 24:17
- Type of Statement - Precedence - Translating English Statement - Bit Operation 37:40
- Logical Equivalence 18:52
- Show that Two Proposition are Logical Equivalence 31:33
- Valid Argument and Rules of Inference 19:06
- Examples of Rule of Inference 30:57
- Quantifier (Universal and Existential ) 24:09
- ملخص + مراجعة جابتر ٥ 24:03
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CHAPTER 6: Proof Technique
- Direct Proof - Even and Odd Definition 26:30
- DIrect Proof - Rational Definition 20:36
- Disproving by Counterexample 07:54
- Proof by Contradiction 18:44
- Proof of Equivalence 17:43
- ملخص +مراجعة شاملة لجابتر 6 13:22
- Proof by Cotrapostive 16:02
- More Examples about Prove Equivalent Statements ( apply rational definition) 23:28
- More Examples about Prove Equivalent Statements ( apply odd and even definition) 10:24
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tutorial
- tutorial 1 (sets) part 1 31:51
- tutorial 2 (sets) part 2 30:12
- tutorial 3 - function 35:11
- tutorial 4 - matrices 36:33
- tutorial 5 (Relation) part1 26:27
- tutorial 6 (Relation) part2 11:48
- tutorial 7 (Relation) part3 21:42
- tutorial 8 (logic) part1 16:30
- tutorial 9 (logic) part2 15:37
- tutorial 10 (logic) part3 16:21
- tutorial 11 (logic) part 4 09:09
- tutorial 12 (proof techniques) ch6 06:09
- tutorial 13 induction and recursion 14:32
- tutorial 14 (counting) part1 21:02
- tutorial 15 (counting) part2 23:26
- tutorial 16 (counting ) part 3 20:53
- tutorial 17 (counting) part 4 17:24
- tutorial 18 (graph and tree) part 1 07:06
- tutorial 19 (graph and tree) part2 15:10
- tutorial 20 (graph and tree) part 3 21:09
- tutorial 21 (graph and tree) part 4 12:23
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Assignment
- HW (E)
- Exercises 1 Sets and Sets Operations Part 1 15:23
- Exercises 1 Sets and Sets Operations Part 2 14:03
- Exercises 1 Sets and Sets Operations Part 3 16:34
- Exercises 1 Sets and Sets Operations Part 4 17:00
- Exercises about logic 48:23
- HW ch6-7 19:57
- HW (A) 19:08
- HW (B) 32:08
- HW (C) 07:45
- HW (D) 23:41
- Exercise 2 Functions, Sequences and Series 02:11:40
- Homework About Relation 55:13
- Homework 1 - Set and set operation - 2023 17:52
- Exam
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CHAPTER 1: Sets and Sets Operations
- تراكيب محددة الجزء الأول
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• 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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Student feedback
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Lectures
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42:56:24
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