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Algebra 2 • Series

Intro to Algebra 2 and Precalculus

Piyush M

Series Details

Sessions

Public Discussion

This series ended on June 21, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

In this series, we will cover topics from Algebra II and Precalculus in preparation for the upcoming school year. Topics will range widely, from polynomials to vectors and matrices. This series will cover the fundamentals for all units of Algebra II and Precalculus, and may be used in preparation for either of these courses.

✋ ATTENDANCE POLICY

Be attentive in the sessions and review some of the topics prior to the sessions if possible. Please let me know if you will not be able to make it to the session beforehand.

Dates

June 10 - June 21

Learners

21 / 30

Total Sessions

9

About the Tutor

I'm a rising high school junior from Texas in the United States. I'm here to share my knowledge and experience in math, which is one of my passions. Currently, I'm going into Differential Equations and preparing for various math and computer science competitions like the AMCs and AIME. Aside from those, I do Science Olympiad, Science Fair, Debate, FTC Robotics, and DECA. I also coach middle schoolers in competitive mental math outside of Schoolhouse. I believe that high-quality education should be free and equal for everyone, which is why I'm a tutor on Schoolhouse :) Of course, there is still a lot that I don't know, and I'm here to hopefully learn a bit as well. I want to help everyone feel confident in their subjects, be it math, physics, chemistry, biology, the SAT, and beyond - if you have any questions at all, or need any support in these topics, I am always happy to help you out!

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Upcoming Sessions

0

Past Sessions

9
10
Jun

Session 1

Polynomial arithmetic

Introduction and icebreakers

Unit 1: Polynomial functions
- Polynomial arithmetic
- Polynomial factorization
- Polynomial graphs
- Function transformations
- Polynomial division
- Equations solving
11
Jun

Session 2

Other Topics

Unit 1: Polynomial functions (continued)
- Composite and inverse functions (PC)
- Basics of limits and continuity (PC)
- Rational functions (PC)
- Asymptotes (PC)
12
Jun

Session 3

Rational exponents and radicals

Unit 2: Exponential functions
- Rational exponents and radicals
- Exponent properties review
- Exponential models
- Logarithmic functions
- Logarithm properties

13
Jun

Session 4

Trigonometry

Unit 3: Trigonometric functions
- Trigonometry (Algebra II-level)
- Radians
- Sine, Cosine, and Tangent
- Pythagorean identity
- Sinusoidal graphs and equations
- Trigonometry (PC-level)
- Unit circle
- Inverse trig
- Law of sines and cosines
- Additional trig identities

14
Jun

Session 5

Complex numbers

Unit 4: Complex numbers
- Complex numbers (Algebra II-level)
- Imaginary i
- Complex numbers intro/Rectangular form
- The complex plane
- Complex numbers operations
- Complex numbers (PC-level)
- Complex conjugates
- Modulus and argument/Polar form
- De Moivre’s Theorem
- Fundamental theorem of Algebra

17
Jun

Session 6

Other Topics

Unit 5: Conic sections (PC)
- Circle
- Circle equation
- Parabola
- Parabola equation
- Directrix
- Focus
- Hyperbola
- Hyperbola equation
- Asymptotes
- Foci
- Ellipse
- Ellipse equation
- Major and minor axes
- Foci
- Standard form of conic sections
- Eccentricity

18
Jun

Session 7

Other Topics

Unit 6: Vectors and Matrices (PC)
- Vectors
- Scalars and vectors
- Component form of vectors
- Magnitude-direction form of vectors
- Vector operations
- Dot product and magnitude of cross product
- Matrices
- Matrix operations
- Matrix inverses

19
Jun

Session 8

Other Topics

Unit 7: Probability (PC)
- Basic set theory
- Venn diagrams
- Independent and dependent events
- Mutual exclusivity
- Expected value
- Probability distributions
- Combinatorics
- Permutations
- Combinations
20
Jun

Session 9

Other Topics

Unit 8: Sequences and Series (PC)
- Summation notation
- Binomial theorem
- Difference between sequences and series
- Arithmetic sequences and series
- Geometric sequences and series

Public Discussion

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