Complex Numbers Crash Course

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Complex Numbers Crash Course

SAT Score Range

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4 sessions

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This series ended on October 31, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

Diving into the world of complex numbers is exciting and easier than you think! Whether you're studying for school or here just for your curiosity, everyone who's willing to learn will be able to gain from this series!

We'll go through everything from Khan Academy's Complex Numbers unit, starting from the basics of what a complex number is. Each session, we'll be running through theory, examples, and we'll have lots of practice problems for you to try!

No precalculus knowledge is required -- if you have no idea what an imaginary or complex number even is (or what the difference is), this is an excellent place for you to learn! A solid knowledge of algebra and basic trigonometry (sine, cosine, tangent, radians) are recommended but not required.

By the end of this four-session series, you will have learned lots about complex numbers and when and how to use them!

Tutored by

David G 🇨🇦

Certified in 17 topics

View Profile

"Tell me and I forget. Teach me and I remember. Involve me and I learn." (Benjamin Franklin) I'm a grade 12 student from Ontario who's passionate about math and the sciences! I love to spread my enthusiasm through tutoring :) I believe that everyone has the power to truly understand what they are trying to learn if they approach the task from the right angle, with lots of exploration and practice. I really hope that I can help you learn something new!

Schedule

✋ ATTENDANCE POLICY

You are strongly recommended to attend all sessions. If you're unable to make a session, please message the tutor. You will be withdrawn from the series if you miss two sessions without giving the tutor prior notice.

SESSION 1

9

Oct

SESSION 1

Complex numbers

Sat 11:00 PM - Sun, 12:00 AM UTCOct 9, 11:00 PM - Oct 10, 12:00 AM UTC

An introduction to complex numbers, starting from the origins and the basics. You will learn:
- what the number i is
- what a complex number is and why it exists
- how to plot complex numbers on the complex plane
- how to graphically add and subtract complex numbers
- how to compute the distance and midpoint of complex numbers

Covers everything up to Quiz 1 of the complex numbers unit in precalculus on Khan Academy (https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:complex).

Please come prepared to think and learn! Paper and pencil may be useful but are not required.

SESSION 2

16

Oct

SESSION 2

Complex numbers

Sat 11:00 PM - Sun, 12:00 AM UTCOct 16, 11:00 PM - Oct 17, 12:00 AM UTC

More operations with complex numbers, including complex conjugates, division, and sum of squares. You will learn:
- what a complex conjugate is and why we use them
- how to divide complex numbers by real OR complex numbers
- how to factor a sum of squares
- how to factor any polynomial to find real, imaginary, and complex roots!

Covers everything up to Quiz 2 of the complex numbers unit in precalculus on Khan Academy (https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:complex).

Please come prepared to think and learn! Paper and pencil may be useful but are not required.

SESSION 3

23

Oct

SESSION 3

Complex numbers

Sat 11:00 PM - Sun, 12:00 AM UTCOct 23, 11:00 PM - Oct 24, 12:00 AM UTC

Getting a fresh perspective on complex numbers with the introduction of polar form. You will learn:
- what a modulus and argument are, and how to find them
- a different (and sometimes better) way to visualize complex numbers -- polar form!
- how to plot complex numbers on a circular plane

Covers everything up to Quiz 3 of the complex numbers unit in precalculus on Khan Academy (https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:complex).

Please come prepared to think and learn! Paper and pencil may be useful but are not required.

SESSION 4

30

Oct

SESSION 4

Complex numbers

Sat 11:00 PM - Sun, 12:00 AM UTCOct 30, 11:00 PM - Oct 31, 12:00 AM UTC

A visual exploration of multiplication, division, and exponentiation of complex numbers -- this is my favorite session of them all, as we'll be watching some animations which will bring what you've been learning to life! You will learn:
- how to graphically multiply complex numbers
- how to multiply and divide complex numbers in polar form
- how to take powers of complex numbers

Covers everything up to Quiz 4 of the complex numbers unit in precalculus on Khan Academy (https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:complex).

Please come prepared to think and learn! Paper and pencil may be useful but are not required.

Public Discussion

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Oct 9 - Oct 31

4 weeks

60 mins

/ session

SCHEDULE

Saturdays

11:00PM