Complex Numbers: An Introduction

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Complex Numbers: An Introduction

SAT Score Range

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6 sessions

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This series ended on January 28, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

This series is designed for beginners in complex numbers who enjoy learning through doing and having discussions, and for learners who have already studied this topic but would like to refresh their knowledge and deepen their understanding. We will start by looking at the origins of the imaginary unit, and how we can do arithmetic with it, which leads us into the world of complex numbers. We will also look at how we can represent them geometrically, like we can with real numbers, as well as many other topics within complex numbers. Of course, a major reason why many learners dislike mathematics is because it seems as if what they are learning has no real life applications. We will, therefore, discuss some real life applications of complex numbers as a part of our sessions. 

Tutored by

Siddharth V 🇬🇧

Certified in 3 topics

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I'm a 14 year old in the UK with a strong passion for mathematics and computer science. While I am 14 years old, I am studying at a Year 13 (12th Grade) level in mathematics. I am joining Schoolhouse since I would like to help students in higher-level mathematics. I enjoy teaching very much - I tutor mathematics to students from disadvantaged socio-economic backgrounds in the UK and India.

Schedule

✋ ATTENDANCE POLICY

Please notify the tutor if you cannot attend a session, so that the tutor can provide you with the learning material for the session. If you miss 2 sessions in a row without notifying the tutor, you will be withdrawn from the series.

SESSION 1

3

Dec

SESSION 1

Complex numbers

Sun 6:00 PM - 7:00 PM UTCDec 3, 6:00 PM - 7:00 PM UTC

We will discuss the origins of the imaginary unit and how we can use them to take the square roots of negative numbers. We will also learn about how we can exponentiate the imaginary unit.

SESSION 2

10

Dec

SESSION 2

Complex numbers

Sun 6:00 PM - 7:00 PM UTCDec 10, 6:00 PM - 7:00 PM UTC

We will introduce complex numbers, and how we can classify them. We will also discuss some of the real-life applications of complex numbers. 

SESSION 3

7

Jan

SESSION 3

Complex numbers

Sun 6:00 PM - 7:00 PM UTCJan 7, 6:00 PM - 7:00 PM UTC

We will look at how we can perform basic arithmetic with complex numbers, and how we can plot them on an Argand diagram (an equivalent of the real number line, but for complex numbers instead of real numbers).

SESSION 4

14

Jan

SESSION 4

Complex numbers

Sun 6:00 PM - 7:00 PM UTCJan 14, 6:00 PM - 7:00 PM UTC

We will look at how we can finally solve quadratic equations with no real roots using complex numbers.

SESSION 5

21

Jan

SESSION 5

Complex numbers

Sun 6:30 PM - 7:30 PM UTCJan 21, 6:30 PM - 7:30 PM UTC

We will look at how we can finally solve quadratic equations with no real roots using complex numbers.

SESSION 6

28

Jan

SESSION 6

Review

Sun 6:30 PM - 7:30 PM UTCJan 28, 6:30 PM - 7:30 PM UTC

We will have a short quiz covering the entire unit, and we will review topics that learners found particularly hard.

Public Discussion

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Dec 3 - Jan 28

9 weeks

60 mins

/ session

SCHEDULE

Sundays

6:00PM