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2021-02-24 02:36:53
30-Day Money-Back Guarantee
Teaching & Academics Math Complex Numbers

Master the Fundamentals of Complex Numbers

Master the Fundamentals of Complex Numbers
Rating: 4.2 out of 54.2 (16 ratings)
585 students
Created by Dr Ling Meng Kay Daniel, PhD
Last updated 10/2019
English
English [Auto]
30-Day Money-Back Guarantee

What you'll learn

  • Basic Complex Number Operations
  • Complex Roots of Polynomial Equations
  • Argand Diagrams
  • Modulus-Argument Form (Polar Form) of Complex Numbers
  • Euler's Formula
  • Loci of Complex Numbers (for IGCSE/College-Level)
  • De Moivre's Theorem (for IB/College-Level)
  • Nth Roots of a Complex Number (for IB/College-Level)
  • Problem-Solving involving Complex Numbers

Requirements

  • Be proficient to perform basic operations in indices, algebra, vectors (elementary level) and trigonometry

Description

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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oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo

Who this course is for:

  • Students who are taking college-level mathematics
  • Students who are taking the IB HL Mathematics
  • Students who are taking the IGCSE/GCE 'A' level Mathematics
  • Students who need a good foundation in Complex Numbers for University-level modules

Course content

17 sections • 48 lectures • 3h 0m total length

  • Preview04:44
  • Practice 1
    01:08
  • Practice 1 Answers
    02:52

  • Preview13:34
  • Practice 2
    01:18
  • Practice 2 Answers
    06:02

  • Complex Numbers Quiz 1
    3 questions

  • Complex Roots of Polynomial Equations
    06:32
  • Practice 3
    01:10
  • Practice 3 Answers
    04:25

  • Argand Diagrams
    09:19
  • Practice 4
    01:33
  • Practice 4 Answers
    05:37

  • The Modulus-Argument Form
    10:50
  • Practice 5
    01:31
  • Practice 5 Answers
    04:10

  • Multiplication and Division in Modulus Argument Form
    07:30
  • Practice 6
    01:49
  • Practice 6 Answers
    06:18

  • Powers of Complex Numbers
    05:05
  • Practice 7
    01:40
  • Practice 7 Answers
    05:10

  • Euler's Formula
    06:59
  • Practice 8
    02:00
  • Practice 8 Answers
    03:43

  • Complex Numbers Quiz 2
    6 questions

Instructor

Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach
Dr Ling Meng Kay Daniel, PhD
  • 4.5 Instructor Rating
  • 29 Reviews
  • 963 Students
  • 6 Courses

Hi everyone! I am Dr Daniel Ling and I am a lecturer in Singapore with more than 16 years of experience teaching and tutoring Math and Physics. I have taught students from various top schools in Singapore such as the Raffles Girls’ School, Dunman High School, Catholic High School (CHS), Nanyang Girls’ High School, Nanhua High School, ACS(Independent), SJI, School of the Arts, Xinmin Sec School, Holy Innocents’ High School, Raffles Institution (formerly Raffles JC), National JC, St Andrew JC, Serangoon JC, Nanyang JC, Jurong JC, Tampines JC etc.

Currently, I am an associate lecturer at a private school where I teach Physics and Mathematics to both local and international students under the school’s GCE O/A Levels preparatory courses.

I possesses a bachelor degree in Electrical Engineering (2nd Upper Hons) from NUS, a Post-Graduate Diploma in Education (Credit) from NIE, a MBA from Australian Institute of Business and a Master of Education (M.Ed) from Aspen University, United States, specializing in curriculum development and outcome assessment. I also hold a PhD in Education from Asia e University.

I am passionate about mathematics and physics and I hope to share my passion with all my students!

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