Pre-Calculus • Series
Pre-Calculus Course ~ from functions to limits ♾️
SL
DS
Devika S
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.
Series Details
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 :)
✋ 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.
Dates
December 17 - June 11
Learners
49 / 50
Total Sessions
12
About the Tutor
SL
DS
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!
View Devika S's Profile
Upcoming Sessions
0
Past Sessions
12
17
Dec
O
Session 1
Orientation
I'll go over the lesson plan for this course.
24
Dec
O
Session 2
Orientation
I'll go over the lesson plan for this course. (once again)
7
Jan
R
Session 3
Review
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
15
Jan
Cf
Session 4
Composite and inverse functions
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
22
Jan
Cf
Session 5
Composite and inverse functions
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
18
Feb
O
Session 6
Other
Trig time!
19
Mar
O
Session 7
Other
-Unit circle
-Trigonometric Functions of Basic angles
-Pythagorean Identity
-Graphs and Trig Functions
-Sinusoidal Equations
-Sinusoidal Models
-Angle addition identities
25
Mar
O
Session 8
Other
Complex Numbers! + Sinusoidal Equations
31
Mar
R
Session 9
Review
-Sinusoidal Equations
- Multiplying dividing complex numbers
- The theorem of algebra
1
Apr
O
Session 10
Other
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
23
Apr
O
Session 11
Other
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
11
Jun
O
Session 12
Other
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