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
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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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
- Preview04:44
- 01:08Practice 1
- 02:52Practice 1 Answers
Instructor
![Dr Ling Meng Kay Daniel, PhD](data:image/svg+xml,%3Csvg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64"%3E%3C/svg%3E){kind=avatar}
- 4.5 Instructor Rating
- 32 Reviews
- 979 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!