Pre-Calculus Crash Course🌏🚀🧠

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Pre-Calculus Crash Course🌏🚀🧠

SAT Score Range

•

15 sessions

•

+34

This series ended on August 12, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

Welcome to our Pre-Calculus Crash Course! Join this series to learn how to solve problems confidently and come out feeling better with math than ever before. In addition, no previous knowledge is required, though some knowledge of previous math courses like Algebra I and II make things much easier. Make sure to have a notebook, pencil, and scientific calculator too!

We'll run through a handful of Pre-Calculus subtopics, from complex numbers and trigonometry to matrices and vectors. We'll also go through the methods/strategies that go hand-in-hand with certain problems and topics by using them in practice problems from Khan Academy. By the end of the series, you will be able to solve any Pre-Calc problem on your own with enough practice and time.

TIME IS TBD! More sessions will be added!

I'll also continue to edit the sessions in the series, so be on the lookout. Hope to see you there! :)

Tutored by

Vince K 🇺🇸

Senior Tutor

Certified in 75 topics

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Hey, everyone! My name is Vince and I'm a junior. I really like math, languages/cultures, music, and football⚽️. I'm a South Korean native but I currently live in the US. I have spent a lot of time doing math and I began to help my friends with it after I realized they were going through the same roadblocks that I had gone through. My goal is to keep learning new things -- history, stories, songs, etc. -- and enjoy what I do. I'm looking forward to sharing lots of things will you all on schoolhouse.world and helping you guys along the way!

Schedule

✋ ATTENDANCE POLICY

If you know you're going to miss a session, please notify me beforehand. Otherwise, if you have 2 unexcused absences, you will be withdrawn from the series. And, like always, try your best to attend as many sessions as possible :)

SESSION 1

28

Jun

SESSION 1

Orientation

Tue 12:00 AM - 12:40 AM UTCJun 28, 12:00 AM - 12:40 AM UTC

Hey everyone! Today we will go over a few things:

- What is this course? Schedule, topics, and other specifics
- A quick icebreaker game

SESSION 2

1

Jul

SESSION 2

Composite and inverse functions

Fri 12:00 AM - 1:10 AM UTCJul 1, 12:00 AM - 1:10 AM UTC

Lift-off to function universe! We'll go over:

- What are composites and inverses?
- More on the requirements of inverse functions
- Practice problems and a quick quiz at the end

SESSION 3

7

Jul

SESSION 3

Trigonometry

Thu 12:00 AM - 1:20 AM UTCJul 7, 12:00 AM - 1:20 AM UTC

Bring a scientific calculator! Remember sin, cos, tan? Let's dive deeper into the realm of triangles:
- Special Values + Proofs(not the boring type of proofs :)
- Identities
- Inverse Trig
- Sinusoidal Equations

SESSION 4

8

Jul

SESSION 4

Trigonometry

Fri 12:00 AM - 1:20 AM UTCJul 8, 12:00 AM - 1:20 AM UTC

Bring a scientific calculator! Continuing with sinusoidal equations, we'll also go through:
- Sinusoidal Models
- Law of Sines and Cosines
- Addition Angle Identities

SESSION 5

10

Jul

SESSION 5

Office Hours

Sun 9:45 PM - 10:25 PM UTCJul 10, 9:45 PM - 10:25 PM UTC

**OPTIONAL** Feel free to come by and ask some questions! :)

SESSION 6

12

Jul

SESSION 6

Trigonometry

Tue 12:00 AM - 1:20 AM UTCJul 12, 12:00 AM - 1:20 AM UTC

We'll continue with some more trig!
- Law of Sines and Cosines
- Angle Addition
- Sinusoidal Modeling

SESSION 7

14

Jul

SESSION 7

Complex numbers

Thu 12:00 AM - 1:20 AM UTCJul 14, 12:00 AM - 1:20 AM UTC

Bring a scientific calculator! After touching on a few more points in trig, today we'll be going over complex numbers, which handles topics like:
- Conjugates
- Absolute Value and Angles?!
- Polar and Rectangular Form
- Graphing Complex Numbers

SESSION 8

15

Jul

SESSION 8

Rational functions

Fri 12:00 AM - 1:10 AM UTCJul 15, 12:00 AM - 1:10 AM UTC

After more on complex numbers, we'll be going over rational functions! With a lot of reduction, we can go through:
- Lowest terms
- Exclusion 
- Discontinuities 
- End Behavior
- Bonus topic if we have time :D

SESSION 9

22

Jul

SESSION 9

Conic sections

Fri 12:00 AM - 1:20 AM UTCJul 22, 12:00 AM - 1:20 AM UTC

Take two cones, slice a plane through them, and... voila! For this session on conic sections, let's take a look at:
- Ellipse
- Hyperbola

SESSION 10

28

Jul

SESSION 10

Conic sections

Thu 12:00 AM - 12:40 AM UTCJul 28, 12:00 AM - 12:40 AM UTC

We'll continue with hyperbolas in this mini session :) This is the second part of the conic sections unit, so I hope to see you guys there!

SESSION 11

29

Jul

SESSION 11

Vectors

Fri 12:00 AM - 1:20 AM UTCJul 29, 12:00 AM - 1:20 AM UTC

Inside the vector realm, let's take a look at:
- What is a vector?
- Addition, subtraction, multiplication of a vector
- Magnitude and angle
- Trig cameo!

SESSION 12

4

Aug

SESSION 12

Matrices

Thu 12:00 AM - 12:40 AM UTCAug 4, 12:00 AM - 12:40 AM UTC

Moving along with matrices! Since talking about it takes quite a while, we'll be looking into matrices in this session and the next. For this one, we'll look at:
- Adding and subtracting matrices
- How to represent data with matrices
- Matrix transformations and vectors

SESSION 13

5

Aug

SESSION 13

Matrices

Fri 12:00 AM - 1:20 AM UTCAug 5, 12:00 AM - 1:20 AM UTC

We'll continue anything we didn't finish in the last session and branch off into other concepts like composing matrices and matrix multiplication

SESSION 14

11

Aug

SESSION 14

Limits and continuity

Thu 12:00 AM - 12:40 AM UTCAug 11, 12:00 AM - 12:40 AM UTC

For the final topic, we'll look at the fundamentals of limits, stemming into calculus!!
- What is a limit?
- Limits + Algebra
- Composite.f limits
- More limits :)
- Algebraic Manipulation

SESSION 15

12

Aug

SESSION 15

Limits and continuity

Fri 12:00 AM - 1:20 AM UTCAug 12, 12:00 AM - 1:20 AM UTC

We'll finish our last unit on limits and continuity and say goodbye!

Public Discussion

Please log in to see discussion on this series.

Jun 28 - Aug 12

7 weeks

40 - 80 mins

/ session

SCHEDULE

Fridays

12:00AM

Thursdays

12:00AM