Math 131- KSU: Paid Course.

عن الدورة

يشمل بقية فصول مادة Math 131 من الفصل الثاني حتى نهاية المادة. الوصول يتطلب الاشتراك أو الدفع

محتوى الدورة

2. Logic

2.1 Statements

22:25
2.2 Negations

05:12
2.3 Disjunctions and Conjunctions

07:51
2.4 Implications

16:00
2.5 More on Implications

31:57
2.6 Biconditionals

40:24
2.7 Tautologies and Contractions

19:40
2.8 Logical Equivalence

06:42
2.9 Some Fundamental Properties of Logical Equivalence

21:25
2.10 Quantified Statements

01:53:23

3. Direct Proof and Proof by Contrapositive

4. More on Direct Proof and Proof by contrapositive

5. Existence and Proof by Contradiction

6. Mathematical Induction

9. Equivalence Relations

10. Functions

11. Cardinalities of Sets

14. Proofs in Calculus

16. Proofs in Ring Theory

Revision mid 1

Rivision Quiz 1

عن الدورة

ماذا سوف تتعلم؟

محتوى الدورة

2. Logic

2.1 Statements

2.2 Negations

2.3 Disjunctions and Conjunctions

2.4 Implications

2.5 More on Implications

2.6 Biconditionals

2.7 Tautologies and Contractions

2.8 Logical Equivalence

2.9 Some Fundamental Properties of Logical Equivalence

2.10 Quantified Statements

3. Direct Proof and Proof by Contrapositive

3. INTRODUCTION

3.1 TRIVIAL AND VACUOUS PROOFS

3.2 Direct Proofs

3.3 Proof by Contrapositive

3.4 Proof by cases

3.5 Proof Evaluations

4. More on Direct Proof and Proof by contrapositive

4.1 Proofs lnvolving Divisibility of Integers

4.4 Proofs Involving Sets

4.5 Fundamental Properties of Set Operations

4.6 Proofs Involving Cartesian Products of Sets

5. Existence and Proof by Contradiction

5.1

5.2

5.3

6. Mathematical Induction

6.1

6.2

6.3

9. Equivalence Relations

9.1

9.2

9.3

10. Functions

11. Cardinalities of Sets

14. Proofs in Calculus

16. Proofs in Ring Theory

Revision mid 1

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Rivision Quiz 1

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