Master the Fundamentals of Complex Numbers

Dear students,

Welcome to this course "Master the Fundamentals of Complex Numbers"!

This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A level or the IB HL Math examinations.

At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:

• basic complex number operations

• complex roots of polynomial equations

• Argand diagrams

• the modulus-argument form (polar form)

• multiplication and "division" of complex numbers

• powers of complex numbers

• Euler's formula

• loci of complex numbers (for IGCSE/College-Level)

• inequalities of complex numbers (for IGCSE/College-Level)

• De Moivre's Theorem (for IB/College-Level)

• nth roots of complex numbers (for IB/College-Level)

Along the way, there will be quizzes and practice questions for you to get familiarized with complex numbers. There are also several bonus lectures which will further enhance your understanding of the topic. If you encounter any problems, please do not hesitate to contact me for more clarifications.

I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers!

Dr Ling M K Daniel, PhD

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