Real and Complex Numbers

Chapter 2: Real and Complex Numbers (128 videos)   (Practice Test)

2.1: Real Numbers(Practice Test)

1. Introduction to Real Numbers
2. Problem-Introduction to Real Numbers
3. Introduction to Rational Numbers
4. Problem 1: Introduction to Rational Numbers
5. Introduction to Irrational Numbers
6. Problem 1: Introduction to Irrational Numbers
7. Presenting Rational Numbers on Number Line
8. Representation of Irrational Number on Number Line
9. Problem-Representation of Irrational Number on Number line
10. Decimal Representation of Rational Number
11. Problem-Decimal Representation of Rational Number
12. Problem 1-Decimal Representation of Rational Number
13. Decimal Representation of Irrational Number
14. Problem-Decimal Representation of Irrational Number

2.2: Properties of Real Numbers(Practice Test)

1. Commutative Law
2. Commutative law under Subtration and Division
3. Problem-Commutative Law
4. Associative Law
5. Associative law of Subtraction and Division
6. Problem-Associative Law
7. Problem 1: Associative Law
8. Additive Identity & Additive Inverse
9. Problem-Additive Identity & Additive Inverse
10. Problem 1: Additive Identity & Additive Inverse
11. Multiplicative Identity & Inverse
12. Problem-Multiplicative Identity & Inverse
13. Problem 1: Multiplicative Identity & Inverse
14. Distributive Law
15. Distributive Property of Multiplication over Subtraction
16. Problem-Distributive Law
17. Problem 1: Distributive Law
18. Problem 1: Distributive law of Multiplication over Subtraction
19. Reflexive And Symmetric Property of Equality
20. Problem-Reflexive And Symmetric Property of Equality
21. Transitive Property of Equality
22. Problem-Transitive Property of Equality
23. Problem 1: Transitive Property of Equality
24. Additive Property of Equality
25. Problem-Additive Property of Equality
26. Multiplicative Property of Equality
27. Problem-Multiplicative Property of Equality
28. Cancellation Property of Equality
29. Problem 1: Cancellation Property of Equality
30. Trichotomy Property of Inequality
31. Problem-Trichotomy Property of Inequality
32. Problem 1: Trichotomy Property of Inequality
33. Transitive Property of Inequality
34. Problem-Transitive Property of Inequality
35. Problem 1: Transitive Property of Inequality
36. Additive Property of Inequality
37. Problem-Additive Property of Inequality
38. Multiplicative Property of Inequality
39. Problem-Multiplicative Property of Inequality
40. Problem 1: Multiplicative Property of Inequality
41. Inequality Multiplicative Inverse
42. Problem-Inequality Multiplicative Inverse

2.3: Radicals and Radicands(Practice Test)

1. Square Root
2. Problem 1: Square Root
3. Properties of Square Root
4. Problem 1: Properties of Square Root
5. More on Properties of Square Root
6. Properties of qth Root of x
7. Problem 1: qth Root of x
8. qth Root of x
9. Problem 1: Properties of qth Root of x
10. Rational Exponents
11. Problem 1: Rational Exponents
12. Properties of Rational Exponents
13. Problem 1: Properties of Rational Exponents
14. Proof of x Raise to Power Zero Equals One
15. Problem 1: Proof of x Raise to Power Zero Equals One
16. Transformation of Radical & Exponential Form
17. Problem 1: Transformation of Radical & Exponential Form

2.4: Laws of Exponents/Indices(Practice Test)

1. Exponent or Index Definition
2. Problem 1: Exponent or Index Definition
3. Law of Sum of Power of Exponents
4. Problem 1: Law of Sum of Power of Exponents
5. Law of Power of Product of Exponent
6. Problem 1: Law of Power of Product of Exponent
7. Law of Power of Power of Exponent
8. Problem 1: Law of Power of Power of Exponent
9. Law of Quotient of Power with Same Base
10. Problem 1: Law of Quotient of Power with Same Base
11. Law of Power of a Fraction
12. Problem 1: Law of Power of a Fraction
13. Applications of Laws of Exponents
14. Problem 1: Applications of Laws of Exponents

2.5: Complex Numbers(Practice Test)

1. Complex Number Introduction
2. Problem-Complex Number Introduction
3. Problem 1: Complex Number Introduction
4. Definition of Complex Number
5. Problem-Definition of Complex Number
6. Conjugate of Complex Number
7. Problem 1: Conjugate of Complex Number
8. Problem 2: Conjugate of Complex Number
9. Problem-Conjugate of Complex Number
10. Equality of Complex Number
11. Problem 1: Equality of Complex Number
12. Problem-Equality of Complex Number
13. Properties of Complex Number
14. Problem 1: Properties of Complex Number
15. Problem-Properties of Complex Number
16. Reflexive & Symmetric Law of Complex Number
17. Problem 1: Reflexive & Symmetric Law of Complex Number
18. Problem-Reflexive & Symmetric Law of Complex Number
19. Transitive Law of Complex Number
20. Problem 1: Transitive Law of Complex Number
21. Problem-Transitive Law of Complex Number

2.6: Basic Operations on Complex Numbers(Practice Test)

1. Addition of Complex Number
2. Problem 1: Addition of Complex Number
3. Problem-Addition of Complex Number
4. Multiplication of Complex with Scalar Numbers
5. Problem 1: Multiplication of Complex with Scalar Numbers
6. Problem-Scalar Multiplication of Complex Numbers
7. Multiplication of Complex Numbers
8. Problem 1: Multiplication of Complex Numbers
9. Problem-Multiplication of Complex Numbers
10. Problem 1: Subtraction of Complex Numbers
11. Problem-Subtraction of Complex Numbers
12. Division of Complex Numbers
13. Problem 1: Division of Complex Numbers
14. Problem-Division of Complex Numbers
15. Division Property of Complex Numbers
16. Problem-Expressing complex number in standard form
17. Problem-Division Property of Complex Numbers
18. Real and Complex Numbers-Review-Exercise-2-Question 1
19. Real and Complex Numbers-Review-Exercise-2-Question 2 to Q. 3 part 2
20. Real and Complex Numbers-Review-Exercise-2-Question 3 to 7