Pre-Calculus Course ~ from functions to limits ♾️

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Pre-Calculus Course ~ from functions to limits ♾️

SAT Score Range

•

12 sessions

•

+46

This series was cancelled by the tutor on July 22, 2023. We're very sorry–you can explore more Pre-Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

This series will cover all of the pre-calculus topics once a week! From functions to limits, you'll be taught each section through 2-3 sessions each :)

Tutored by

Devika S 🇲🇾

Certified in 20 topics

View Profile

hello everyone <3 My name is Devika and I am in year 12 and enjoy the sciences and math! looking forward to learning and teaching on here!

Schedule

✋ ATTENDANCE POLICY

Make sure you attend classes. It's the only way to learn. I'll be adding classes indefinitely because of other priorities! But I'll try to maintain a weekly schedule.

SESSION 1

17

Dec

SESSION 1

Orientation

Sat 1:00 AM - 1:30 AM UTCDec 17, 1:00 AM - 1:30 AM UTC

I'll go over the lesson plan for this course.

SESSION 2

24

Dec

SESSION 2

Orientation

Sat 1:00 AM - 1:30 AM UTCDec 24, 1:00 AM - 1:30 AM UTC

I'll go over the lesson plan for this course. (once again)

SESSION 3

7

Jan

SESSION 3

Review

Sat 1:00 AM - 2:00 AM UTCJan 7, 1:00 AM - 2:00 AM UTC

In this session, I'll be covering some basic math concepts before jumping into the course.
From my lesson plan:
- Exponents
- Polynomials
- Rational exponents 
- Radicals
- Factoring
- Basic geometry  
- Application-based questions

SESSION 4

15

Jan

SESSION 4

Composite and inverse functions

Sun 1:00 AM - 1:50 AM UTCJan 15, 1:00 AM - 1:50 AM UTC

This session covers (from my lesson plan): 
- Definition of a function
- Operating on functions
- Composite functions
- Inverse functions
- Invertible functions,
- Inverse functions in graphs and tables
- Modelling with composite functions, Composing functions, Verifying inverse functions by the composition

SESSION 5

22

Jan

SESSION 5

Composite and inverse functions

Sun 1:00 AM - 2:00 AM UTCJan 22, 1:00 AM - 2:00 AM UTC

This second part covers (from my lesson plan):
- Intercepts 
- The slope of a straight line
- Writing the equation of a straight line
- Graphs of linear functions
- Graphs of quadratic functions
- Graphs of polynomial functions of degree 3 and higher.
- Asymptotes
- Oblique asymptotes and graphs of rational functions
- Exponential functions
- Logarithmic functions
- Properties of logarithmic functions
- Solving logarithmic functions
- Applications

SESSION 6

18

Feb

SESSION 6

Other

Sat 1:00 AM - 2:00 AM UTCFeb 18, 1:00 AM - 2:00 AM UTC

Trig time!

SESSION 7

19

Mar

SESSION 7

Other

Sun 1:00 AM - 2:00 AM UTCMar 19, 1:00 AM - 2:00 AM UTC

-Unit circle
-Trigonometric Functions of Basic angles
-Pythagorean Identity
-Graphs and Trig Functions
-Sinusoidal Equations
-Sinusoidal Models
-Angle addition identities

SESSION 8

25

Mar

SESSION 8

Other

Sat 1:00 AM - 2:00 AM UTCMar 25, 1:00 AM - 2:00 AM UTC

Complex Numbers! + Sinusoidal Equations

SESSION 9

31

Mar

SESSION 9

Review

Fri 12:30 AM - 1:15 AM UTCMar 31, 12:30 AM - 1:15 AM UTC

-Sinusoidal Equations
- Multiplying dividing complex numbers
- The theorem of algebra

SESSION 10

1

Apr

SESSION 10

Other

Sat 1:00 AM - 2:00 AM UTCApr 1, 1:00 AM - 2:00 AM UTC

Unit 4: Rational functions

- Reducing rational expressions to lowest terms: Rational functions
- End behaviour of rational functions: Rational functions
- Discontinuities of rational functions: Rational functions
- Graphs of rational functions: Rational functions
- Modeling with rational functions: Rational functions
- Multiplying and dividing rational expressions: Rational functions
- Adding and subtracting rational expressions

SESSION 11

23

Apr

SESSION 11

Other

Sun 1:00 AM - 1:45 AM UTCApr 23, 1:00 AM - 1:45 AM UTC

Unit 5: Conic Sections

- Introduction to conic sections: Conic sections
- Center and radii of an ellipse: Conic sections
- Foci of an ellipse: Conic sections
- Introduction to hyperbolas: Conic sections
- Foci of a hyperbola: Conic sections
- Hyperbolas not centred at the origin

SESSION 12

11

Jun

SESSION 12

Other

Sun 1:00 AM - 2:00 AM UTCJun 11, 1:00 AM - 2:00 AM UTC

Unit 6: Vectors

- Vectors introduction: Vectors
- Vector components: Vectors
- Magnitude of vectors: Vectors
- Scalar multiplication: Vectors
- Vector addition and subtraction: Vectors
- Direction of vectors: Vectors
- Vector components from magnitude and direction: Vectors
- Adding vectors in magnitude and direction form: Vectors
- Vectors word problems

Public Discussion

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Dec 17 - Jun 11

26 weeks

30 - 60 mins

/ session

SCHEDULE

Saturdays

1:00AM