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Complex Numbers - Cambridge A Level Pure Maths 3 & IBDP
Rating: 5.0 out of 5(1 rating)
10 students

Complex Numbers - Cambridge A Level Pure Maths 3 & IBDP

Complex Numbers Basic to Advance, Polar Form, Exponential Form, Geometry, Locus
Created byAashish Maheshwari
Last updated 3/2026
English

What you'll 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

Course content

3 sections • 25 lectures • 5h 47m total length

  • Why we need imaginary numbers4:28

    Understanding the need of complex numbers

  • Introduction of square root (-1) that is IOTA7:19
  • Powers of i9:04

    Understanding how to simplify and calculations involving higher powers of Iota (i)

  • Introduction of Complex Numbers15:46

    What are imaginary numbers, complex numbers. What is conjugate of a complex number

  • Algebra of Complex Numbers - (Add, Subtract and Multiply)15:15

    Understanding how to add, subtract and multiply two complex numbers

  • Algebra of Complex Nos (Division of two complex numbers)17:43

    How to divide two complex numbers

  • Questions based on Algebra of Complex Numbers18:51
  • Square Root of C. No8:48
  • Quadratic Equation with Complex Roots18:12

    Understand that quadratic equation having real coefficient has complex roots only in conjugate pairs

  • Cubic & Quartic Equations having complex roots12:56

    How to factorize and find the roots of a cubic & quartic equations having complex roots.

  • Questions based on Quadratic/Cubic/Quartic Equations having complex roots25:19

    Dear Students, there is an errata, from 0-30 sec, by mistake I said three real roots, but its only 3 roots.


Requirements

  • Basic Algebra
  • Vectors
  • Coordinate Geometry

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.


Who this course is for:

  • AS/A Level
  • Pure Mathematics
  • O Level/A level

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