Complex Number -A Survival Guide

Categories: Algebra
Wishlist Share
Share Course
Page Link
Share On Social Media

About Course

Have you ever encountered a problem that real numbers just couldn’t solve? Enter the fascinating world of complex numbers, where the impossible becomes possible. This beginner-friendly course will guide you through the captivating realm of imaginary numbers, unlocking their secrets and revealing their surprising applications in diverse fields.

What you’ll learn:

  • Demystify the imaginary unit: Discover the meaning and properties of the enigmatic “i”, and understand how it expands the number system from the one-dimensional real line to the two-dimensional complex plane.
  • Master the basics: Get hands-on with fundamental operations like addition, subtraction, multiplication, and division of complex numbers. Visualize these operations graphically and develop your algebraic skills.
  • Unravel the mysteries of the complex plane: Explore geometric interpretations of complex numbers, visualizing their magnitude, angle, and conjugate counterparts. Learn how to navigate the complex plane with ease.
  • Embrace powerful tools: Utilize Euler’s formula to understand the connection between complex numbers and trigonometry, and unlock the magic of DeMoivre’s Theorem for solving higher-order polynomial equations.
  • Explore real-world applications: Witness the power of complex numbers in action! Dive into applications in electrical engineering, signal processing, fluid dynamics, quantum mechanics, and even computer graphics.

By the end of this course, you will:

  • Confidently solve problems involving complex numbers using both algebraic and graphical methods.
  • Apply complex numbers to various real-world scenarios in diverse fields of science and engineering.
  • Appreciate the beauty and elegance of complex mathematics and its ability to tackle seemingly impossible problems.

Who should take this course?

This course is perfect for anyone curious about the world of complex numbers, from high school students seeking a challenge to professionals looking to expand their mathematical toolkit. No prior knowledge of complex numbers is assumed, just a passion for learning and exploring new mathematical horizons.
Join us on this journey through the complex plane and unlock the hidden dimension of mathematics!

Enroll now and embark on an adventure into the captivating world of complex numbers!

Show More

What Will You Learn?

  • Algebra of Complex Numbers
  • Modulus and Argument of a Complex Number
  • Polar Form
  • Euler's Form
  • De Moivre's Theorem

Course Content

1. Imaginary Numbers

  • 1.1 What are Imaginary Numbers?
    15:41
  • 1.2 Practice Exercise 1A
  • 1.3 Solutions to Practice Exercise 1A
    00:00

2. Complex Numbers

3. Complex Numbers (Continued)

4. Modulus of a Complex Number

5. Geometrical Representation of Complex Numbers

6. Argument of a Complex Number

7. Polar Form of a Complex Number

8. Euler’s Form of a Complex Number

9. Cube Roots of Unity

10. De Moivre’s Theorem

11. Some Proofs Related to Complex Numbers

Student Ratings & Reviews

No Review Yet
No Review Yet
mathandbolt