Complex Numbers

Chapter 1: Complex Numbers (80 videos)   (Practice Test)

1.1: Introduction  (Practice Test)

1. Complex Number Introduction
2. Problem-Complex Number Introduction
3. Problem 1: Complex Number Introduction
4. Definition of Complex Number
5. Problem 1: Definition of Complex Number
6. Problem-Definition of Complex Number

1.2: Complex Numbers  (Practice Test)

1. Complex Numbers as Ordered Pairs of Real Numbers
2. Problem 1: Definition of Complex Number
3. Conjugate of Complex Number
4. Problem 1: Conjugate of Complex Number
5. Problem 2: Conjugate of Complex Number
6. Problem-Conjugate of Complex Number
7. Equality of Complex Number
8. Problem 1: Equality of Complex Number
9. Problem-Equality of Complex Number
10. Properties of Complex Number
11. Problem 1: Properties of Complex Number
12. Problem-Properties of Complex Number
13. Reflexive & Symmetric Law of Complex Number
14. Problem 1: Reflexive & Symmetric Law of Complex Number
15. Problem-Reflexive & Symmetric Law of Complex Number
16. Transitive Law of Complex Number
17. Problem 1: Transitive Law of Complex Number
18. Problem-Transitive Law of Complex Number
19. Addition of Complex Number
20. Problem 1: Addition of Complex Number
21. Problem-Addition of Complex Number
22. Multiplication of Complex with Scalar Numbers
23. Problem 1: Multiplication of Complex with Scalar Numbers
24. Problem-Scalar Multiplication of Complex Numbers
25. Multiplication of Complex Numbers
26. Problem 1: Multiplication of Complex Numbers
27. Problem-Multiplication of Complex Numbers
28. Subtraction of Complex Numbers
29. Problem 1: Subtraction of Complex Numbers
30. Problem-Subtraction of Complex Numbers
31. Division of Complex Numbers
32. Problem 1: Division of Complex Numbers
33. Problem-Division of Complex Numbers
34. Division Property of Complex Numbers
35. Problem 1: Division Property of Complex Numbers
36. Problem-Division Property of Complex Numbers
37. Argand Diagram
38. Problem-Argand Diagram
39. The Order Relations
40. Problem-The Order Relations
41. Modulus of Complex Number
42. Problem-Modulus of Complex Number

1.3: Properties of Complex Numbers  (Practice Test)

1. Theorems on Complex Number
2. More on Theorems on Complex Numbers
3. Problem-Theorems on Complex Number
4. Vector Interpretation of Complex Numbers
5. Problem-Vector Interpretation of Complex Numbers
6. The Triangle Inequality
7. Problem-The Triangle Inequality
8. Polar Form of a Complex Number
9. Problem-Polar Form of a Complex Number
10. Problem2-Polar Form of a Complex Number
11. Properties of the Arguments
12. Problem-Properties of the Arguments
13. Formula for Finding the Principal Argument
14. Problem-Formula for Finding the Principal Argument
15. Real and Imaginary parts of Expression of Power n
16. Problem-Real and Imaginary parts of Expression of Power n
17. Commutative Property of Complex Numbers
18. Problem-Commutative Property of Complex Numbers
19. Associative Property of Complex Numbers
20. Problem-Associative Property of Complex Numbers
21. The Distributive Property of Complex Numbers
22. Problem-The Distributive Property of Complex Numbers
23. Additive Identity and Multiplicative Identity of Complex Numbers
24. Problem-Additive Identity and Multiplicative Identity of Complex Numb
25. Additive Inverse and Multiplicative Inverse of Complex Numbers
26. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers

1.4: Solution of Equations  (Practice Test)

1. Solution of Simultaneous Linear Equations with Complex Co-efficients
2. Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
3. Expression of the Polynomial P ( z ) as a Product of Linear Factors
4. Problem-Expression of the Polynomial P ( z ) as a Product of Linear F
5. Quadratic Equation of Complex Variables
6. Problem-Quadratic Equation of Complex Variables