Master the Fundamentals of Complex Numbers

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Dr Ling Meng Kay Daniel, PhD

3:03:42

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1 - Introduction to Complex Numbers

1 - Introduction to Complex Numbers.mp4

04:44

2 - Practice 1.mp4

01:08

3 - Practice 1 Answers.mp4

02:52

2 - Basic Complex Number Operations

4 - Basic Complex Number Operations.mp4

13:34

5 - Practice 2.mp4

01:18

6 - Practice 2 Answers.mp4

06:02

3 - Quiz 1

1 - Complex Numbers Quiz 1.html

4 - Complex Roots of Polynomial Equations

7 - Complex Roots of Polynomial Equations.mp4

06:32

8 - Practice 3.mp4

01:10

9 - Practice 3 Answers.mp4

04:25

5 - Argand Diagrams

10 - Argand Diagrams.mp4

09:19

11 - Practice 4.mp4

01:33

12 - Practice 4 Answers.mp4

05:37

6 - Introduction to the ModulusArgument Form of Complex Numbers

13 - The ModulusArgument Form.mp4

10:50

14 - Practice 5.mp4

01:31

15 - Practice 5 Answers.mp4

04:10

7 - Multiplication and Division in Modulus Argument Form

16 - Multiplication and Division in Modulus Argument Form.mp4

07:30

17 - Practice 6.mp4

01:49

18 - Practice 6 Answers.mp4

06:18

8 - Powers of Complex Numbers

19 - Powers of Complex Numbers.mp4

05:05

20 - Practice 7.mp4

01:40

21 - Practice 7 Answers.mp4

05:10

9 - Introduction to the Eulers Formula

22 - Eulers Formula.mp4

06:59

23 - Practice 8.mp4

02:00

24 - Practice 8 Answers.mp4

03:43

10 - Quiz 2

2 - Complex Numbers Quiz 2.html

11 - Loci of Complex Numbers for IGCSECollegeLevel

25 - Loci of Complex Numbers and Locus of a Circle.mp4

09:44

26 - Practice 9.html

26 - Practice-9-Practice-Questions-of-Locus-of-Circles.pdf

27 - Practice 9 Answers.html

27 - Practice-9-Answers.pdf

28 - Locus of a Perpendicular Bisector.mp4

06:03

29 - Practice 10.html

29 - Practice-10-Questions-on-Locus-of-Perpendicular-Bisector.pdf

30 - Practice 10 Answers.html

30 - Practice-10-Answers.pdf

31 - Locus of a Halfline.mp4

06:34

32 - Practice 11.html

32 - Practice-11-Questions-on-Locus-of-Half-lines.pdf

33 - Practice 11 Answers.html

33 - Practice-11-Answers.pdf

12 - Inequalities in Complex Numbers for IGCSECollegeLevel

34 - Inequalities in Complex Numbers.mp4

09:02

35 - Practice 12.html

35 - Practice-12-Inequalities-in-Complex-Numbers.pdf

36 - Practice 12 Answers.html

36 - Practice-12-Answers.pdf

13 - De Moivres Theorem for IB HLCollegeLevel

37 - De Moivres Theorem.mp4

05:38

38 - Practice 13.html

38 - Practice-13-Questions-on-De-Moivres-Theorem.pdf

39 - Practice 13 Answers.html

39 - Practice-13-Answers.pdf

14 - Nth Roots of a Complex Number for IB HLCollegeLevel

40 - Nth Roots of a Complex Number.mp4

08:52

41 - Practice 14.html

41 - Practice-14-Questions-on-Nth-Roots-of-Complex-Numbers.pdf

42 - Practice 14 Answers.html

42 - Practice-14-Answers.pdf

15 - Quiz 3

3 - Complex Numbers Quiz 3.html

16 - Bonus ProblemSolving Exercises Solutions to Quizzes and an Extra Video

43 - Complex Numbers ProblemSolving Exercises.html

43 - Complex-Numbers-Problem-Solving-Questions.pdf

44 - Answers to ProblemSolving Exercises.html

44 - Complex-Numbers-Problem-Solving-Solutions.pdf

45 - Bonus Correction of Argument to Principal Value.mp4

03:15

46 - Complex-Numbers-Quiz-1-Solutions.pdf

46 - Complex-Numbers-Quiz-2-Solutions.pdf

46 - Complex-Numbers-Quiz-3-Solutions.pdf

46 - Written Solutions to the Quizzes.html

47 - Complex-Numbers-Further-Problem-Solving-1-Learner.pdf

47 - Further ProblemSolving Exercise 1.mp4

07:15

48 - Complex-Numbers-Further-Problem-Solving-2-Student.pdf

48 - Lecture 48 Further ProblemSolving Exercise 2.mp4

03:48

17 - Summary and Conclusions

49 - Summary and Conclusions.mp4

08:32

Description

Master the Fundamentals of Complex Numbers

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

Who is this 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

What You Need to Know?

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

More details

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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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

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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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