What you'll learn
complex numbers in cartesian form
complex numbers in polar form (exponential and trigonometric form)
solving polynomial equations involving complex numbers (non- real) as solutions
geometric representation of complex numbers
finding modulus and argument of a complex number
Making use of the results of Euler's Fomula
A Level Mathematics - Complex Numbers
A Level Pure Math - Complex Numbers
Requirements
O Level Additional Mathematics
Coordinate geometry
Trigonometry
Algebra and algebraic manipulation
Solving quadratic and polynomial equations involving real roots
Description
Introduction to complex numbers is often the last topic covered in the H2 A Level Mathematics exams. Many students find it hard, but it really isn't if you understand the concepts.
Welcome to this course on introduction to complex numbers. This course is created by Emily from Emily Learning, who has 2 decades of experience coaching students for their A, O and N Level exams.
With this course, your child will be able to master the content he or she need to know for H2 A Level Mathematics : Introduction to complex numbers.
This course on A-Level Introduction to Complex Numbers is written based on the Singapore A Level Mathematics syllabus (9758).
In this course, we will cover
- what are imaginary numbers (i)
- complex numbers in cartesian form
- addition and subtraction of complex numbers in cartesian form
- multiplication and division of complex numbers in cartesian form
- conjugates of complex numbers
- condition for complex numbers to be equal
- solving polynomial equations involving complex numbers
- geometric representation of complex numbers
- complex numbers in polar form (exponential and trigonometric form)
- multiplication and division of complex numbers in polar form
- modulus and argument of a complex number
- rules of argument of a complex number
In addition, we will also be going through sample questions to reinforce what you've learnt in this course.
This is the introductory course that I conduct in my face-to-face tuition lessons. In this course, we go through the concepts tested in A Level, as well as how to apply these concepts to questions. The complete course usually takes multiple 2- hour lessons. But now, you can build up your complex numbers foundation anytime, anywhere, at your own pace, and watch it any number of times you like.
What are you waiting for?
Who this course is for
Students who are interested to have a basic understanding of complex numbers
H2 A Level Mathematics Students
Parents of A Level Mathematics students who want to help their children with their Math
Course content
3 sections * 24 lectures * 3h 0m total length