College Level)

Complex Numbers from Basics to Advanced

Ratings: 5.00 / 5.00

Description

Welcome to world of Imaginary Numbers

Complex Numbers is one of the most important and most interesting topics from algebra. In this course you will have in depth knowledge of complex numbers from basics to advanced.

Concepts covered:

1. Introduction of complex numbers

2. Algebra of Complex Numbers

3. Argand Diagrams

4. Modulus and Argument

5. Using Vectors in adding and subtracting

6. Quadratic, Cubic, Quartic equations with complex roots

7. Different ways to represent complex numbers (Modulus Argument form, Euler`s Form, Polar Form)

8. Loci in Argand Diagrams

Every topic & concept is covered in detail and with good number of problems.

Prerequisites:

Though this course covers complex number from basic to advanced but a student should know following topics:

1. Basic Algebra

2. Basics of Vectors

3. Basics of Trigonometry

The course flow is designed such that you will get so involved in the topic. The flow is from basic to advance level. Even if you are good with this concept, you will definitely find something new & interesting. The instructor has carefully selected problems you will definitely enjoy solving. It is recommended that you watch videos in the same sequence as given for better understanding and correlation. A large set of problems are solved for thorough understanding of the concepts.

The instructor is very experienced to understand the problems faced by students. With the vast teaching experience at different levels, the instructor has chosen flow, the topics and problems to make you understand the complex numbers in best of the method. This course is among the most exhaustive courses on Complex Numbers available.

Keep Learning, Have fun with Complex Numbers.

Enjoy the course.

What You Will Learn!

Iota, Imaginary Numbers, Properties of Iota
Complex Numbers, Algebra of Complex Numbers, Square Root of Complex Number
Complex Roots of Quadratic, Cubic & Quartic Equations
Argand Diagrams, Vector Form, Representation of Complex Number
Modulus & Argument of a Complex Number
Modulus-Argument Form, Polar Form, Exponential Form of Complex Number
Properties of Argument and Modulus of Multiplication & Division
Loci (Circle, Perpendicular Bisector, A Ray)
Covered questions on all the concepts in each video

Who Should Attend!

AS/A Level
Pure Mathematics
O Level/A level