Complex Numbers: Algebraic Approach

Learning tasks

A) The Number \(i\) and the Set of Complex Numbers
1) Identifying Real and Imaginary Parts	Ex 1 Ex 2 Ex 3 Ex 4 Ex 5
2) Classifying Complex Numbers	Ex 6 Ex 7 Ex 8 Ex 9
B) Operations with Complex Numbers
3) Calculating with Complex Numbers	Ex 10 Ex 11 Ex 12 Ex 13
4) Dividing Complex Numbers	Ex 14 Ex 15 Ex 16 Ex 17
5) Simplifying Expressions to Find Real and Imaginary Parts	Ex 18 Ex 19 Ex 20 Ex 21
6) Calculating Powers of the Imaginary Unit	Ex 22 Ex 23 Ex 24 Ex 25
7) Evaluating Polynomial Expressions of a Complex Number	Ex 26 Ex 27 Ex 28 Ex 29
C) Equality of Complex Numbers
8) Solving Linear Equations	Ex 30 Ex 31 Ex 32
9) Solving Equations by Equating Real and Imaginary Parts	Ex 33 Ex 34 Ex 35
D) Complex Conjugate
10) Finding the Conjugate of a Complex Number	Ex 36 Ex 37 Ex 38 Ex 39
11) Proving Properties of the Complex Conjugate	Ex 40 Ex 41 Ex 42 Ex 43 Ex 44 Ex 45
12) Solving Complex Equations involving the Conjugate	Ex 46 Ex 47 Ex 48

Lesson Summary
Text book

Exercises Correction
A) The Number \(i\) and the Set of Complex Numbers
    1) Identifying Real and Imaginary Parts Ex 1 Ex 2 Ex 3 Ex 4 Ex 5
    2) Classifying Complex Numbers Ex 6 Ex 7 Ex 8 Ex 9
B) Operations with Complex Numbers
    3) Calculating with Complex Numbers Ex 10 Ex 11 Ex 12 Ex 13
    4) Dividing Complex Numbers Ex 14 Ex 15 Ex 16 Ex 17
    5) Simplifying Expressions to Find Real and Imaginary Parts Ex 18 Ex 19 Ex 20 Ex 21
    6) Calculating Powers of the Imaginary Unit Ex 22 Ex 23 Ex 24 Ex 25
    7) Evaluating Polynomial Expressions of a Complex Number Ex 26 Ex 27 Ex 28 Ex 29
C) Equality of Complex Numbers
    8) Solving Linear Equations Ex 30 Ex 31 Ex 32
    9) Solving Equations by Equating Real and Imaginary Parts Ex 33 Ex 34 Ex 35
D) Complex Conjugate
    10) Finding the Conjugate of a Complex Number Ex 36 Ex 37 Ex 38 Ex 39
    11) Proving Properties of the Complex Conjugate Ex 40 Ex 41 Ex 42 Ex 43 Ex 44 Ex 45
    12) Solving Complex Equations involving the Conjugate Ex 46 Ex 47 Ex 48