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Introduction to Complex Analysis

SAT Score Range

8 sessions

🔥 7 spots left!

About

Looking for something to do after Calculus or just want to explore interesting math? This is it for you! As long as you've completed Algebra 2, welcome! I've hosted several highly engaging STEM courses, and I hope this one will be so as well. I will provide a foundational understanding of complex numbers and their functions, bridging the gap between real analysis and the unique properties of the complex plane.

Tutored by

Jacob R 🇨🇳

Certified in 8 topics

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I'm a high schooler originally from California who's here to help others succeed on standardized tests like the SAT in addition to everyday school subjects. I'm able to help on the SAT and up to all four AP Physics courses, AP Calculus BC, and AP Chemistry. I've gone through and understand what it feels to have difficulties in learning and the helplessness it could bring, which I hope my positive attitude could curb. In my own time, I enjoy playing and coaching soccer, playing video games, and delegating/chairing MUN conferences.

✋ ATTENDANCE POLICY

I get that things come up, so it's totally fine to be late or absent once in a while. but please let me know first.

SESSION 1

20

Jul

SESSION 1

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Other Topics

Sun 12:30 AM - 1:30 AM UTCJul 20, 12:30 AM - 1:30 AM UTC

Learning The Complex Number System. Introducing the concept of the system as well as it's properties, such as basic addition, subtraction, multiplication, and divison on the complex plane.
SESSION 2

27

Jul

SESSION 2

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Sun 12:30 AM - 1:30 AM UTCJul 27, 12:30 AM - 1:30 AM UTC

Learning Polar Form and Euler's Formula. Learning different forms of the compelx plane is essential, and so is critical theorem such as De Moivre's theorem.
SESSION 3

3

Aug

SESSION 3

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Sun 12:30 AM - 1:30 AM UTCAug 3, 12:30 AM - 1:30 AM UTC

Learning the Functions of a Complex Variable. We'll dive deeper in the course by going through different oncepts that we understand on the Cartesian plane and applying it to the complex plane.
SESSION 4

10

Aug

SESSION 4

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Sun 12:30 AM - 1:30 AM UTCAug 10, 12:30 AM - 1:30 AM UTC

Learning Limits and Continuity in the Complex Plane. Limits and Continuity may sounds familiar to some of you, but it's a whole different story here.
SESSION 5

17

Aug

SESSION 5

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Sun 12:30 AM - 1:30 AM UTCAug 17, 12:30 AM - 1:30 AM UTC

Differentiability and the Cauchy-Riemann Equations. Exploring some of the most fundamental and critical theorems published in the space, we'll learn how differentiability is used in the complex plane.
SESSION 6

24

Aug

SESSION 6

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Sun 12:30 AM - 1:30 AM UTCAug 24, 12:30 AM - 1:30 AM UTC

Introduction to Complex Integration Integral. Integrals are a whole different ball game on the complex plane, so how do they work?
SESSION 7

31

Aug

SESSION 7

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Sun 12:30 AM - 1:30 AM UTCAug 31, 12:30 AM - 1:30 AM UTC

Learning Cauchy's Integral Theorem. This is one of the most important theorems in complex anlaysis, which we'll be sure to dive deep into.
SESSION 8

7

Sep

SESSION 8

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Sun 12:30 AM - 1:30 AM UTCSep 7, 12:30 AM - 1:30 AM UTC

Leaning Liouville's Theorem. Similar to Cauchy's theorem, this theorem is integral to complex anlaysis as a whole.

Public Discussion

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Jul 20 - Sep 7

8 weeks

60 mins

/ session

Next session on July 20, 2025

SCHEDULE

Sundays

12:30AM