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Algebra 2 • Series

Comprehensive Algebra 2 with Trig 🍎

Jose Roberto Cossich G

Series Details

Sessions

Public Discussion

This series ended on June 3, 2023. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

Hey guys! Along with my Geometry series, here's one for Algebra 2 and Trig! It's never too early/late to start learning, so why not join? Prerequisites: Algebra 1; good grasp of quadratics (which you can learn concurrently if you haven't already). We're going to be covering -Polynomials -Vectors -Complex Numbers -Rational Functions -Exponents/Logarithms -Function Transformations -Linear Transformations using Matrices -Types of triangles -Right Triangle Trigonometry -Unit Circle and Trigonometric Identities/Values -Radians and Degrees -Trigonometric Functions -Inverse Trigonometric Functions -Sinusoidal Graphs/Equations -Other Trigonometric Identities

✋ ATTENDANCE POLICY

Attendance is optional but highly recommended since topics build on each other; however I understand that everyone has a busy schedule, so if you can't make it and want a catch-up session just ask!

Dates

November 14 - June 3

Learners

122 / 150

Total Sessions

28

About the Tutor

A little about me: I'm about the biggest Indie fan there is, I almost exclusively watch (John Hughes>>) 80s movies or the upcoming Star Wars series, and I read sci-fi in my spare time. I tutor for the sake of those aha moments, and have taken Multivariable Calc, Linear Algebra, Real Analysis, and Complex Analysis. Who knows what I'll tutor next, hope to see you soon.

View Jose Roberto Cossich G's Profile

Upcoming Sessions

0

Past Sessions

28
14
Nov

Session 1

Polynomial arithmetic

Hey guys, today we will start by -Introducing the series -Defining polynomials -Learning how to add, subtract, and multiply polynomials (FOIL) As always, catch-up sessions are available, just ask.
21
Nov

Session 2

Polynomial division

-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials -Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
5
Dec

Session 3

Polynomial factorization

-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials -Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
11
Dec

Session 4

Review

-Reviewing quadratic factorization -Learn about the features of polynomials represented visually in graphs including factors (zeros), the multiplicity of their zeros, the graphs y-intercept, and end behavior (odd or even or none). Hey guys, today we will review the concepts in our first unit, polynomials. We will be focused more on practicing our skills and resolving any remaining doubts.
12
Dec

Session 5

Trigonometry

Hey guys, Today we're going to learn the trigonometric ratios (SOHCAHTOA), reciprocal ratios, and build some intuition around them (it would be helpful to know about Similarity beforehand). We'll find the lengths of missing sides of right triangles, learn about complementary angles, and do some other practice.
19
Dec

Session 6

Polynomial factorization

-Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials -Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
20
Dec

Session 7

Trigonometry

CONTINUING -Learn how to apply polynomial division in addition to the remainder and factor theorems to find the linear factors of polynomials -Proving the factor and remainder theorem, and applying them to prove factors of a polynomial
27
Dec

Session 8

Trigonometry

Hey guys, Today we're going to learn the trigonometric ratios (SOHCAHTOA), reciprocal ratios, and build some intuition around them (it would be helpful to know about Similarity beforehand). We'll find the lengths of missing sides of right triangles, learn about complementary angles, and do some other practice.
28
Dec

Session 9

Complex numbers

Hey guys, these two sessions will be on Vectors, but I put it as about Complex Numbers because their relation will lay the foundations for our understanding of Complex Numbers. - What is a Vector? What are n-vectors? -Zero vectors -Vector quantities vs Scalar quantities -Finding the x and y component of a vector, adding and subtracting vectors together (the parallelogram rule -The argument and modulus of a vector, what they are and how to derive them (inverse trig functions) -Some more advanced problems on vectors from Khan Academy
16
Jan

Session 10

Complex numbers

Hey guys, today we will begin to cover Complex Numbers -What they are, -Complex solutions to quadratics, -Factoring by sum of squares (and solving for the complex roots of polynomials using sum of squares), -De Moivre's Theorem -Euler's Formula
23
Jan

Session 11

Complex numbers

Hey guys, today we're going to find all the complex solutions to polynomials in general (not just through sum of squares or in quadratics) by covering -Rectangular Form of Complex numbers and converting it to -Polar Form of Complex Numbers - The Imaginary Plane -The Argument and Modulus of Complex Numbers.
30
Jan

Session 12

Complex numbers

(CONTINUING LAST SESSION) Hey guys, today we're going to find all the complex solutions to polynomials in general (not just through sum of squares or in quadratics) by covering -Rectangular Form of Complex numbers and converting it to -Polar Form of Complex Numbers - The Imaginary Plane -The Argument and Modulus of Complex Numbers.
6
Feb

Session 13

Review

Hey guys, today we will review the concepts in our second unit, complex numbers. We will be focused more on practicing our skills and resolving any remaining doubts.
13
Feb

Session 14

Trigonometry

We're starting our Trigonometry Unit! We're going to start with a brief series overview, then get into -Types of Triangles -Angle Properties -The Triangle Inequality Theorem -The Pythagorean Theorem -Review of SOHCAHTOA
20
Feb

Session 15

Trigonometry

Hey guys, today we're going to go over the law of sines and cosines (and their proofs) to find the missing sides of arbitrary triangles (and provide some more intuition to some congruence theorems using these laws)
6
Mar

Session 16

Trigonometry

Hey guys, today we'll learn what radians are and how to convert between them and degrees. Then we'll go over the Unit Circle, trig identities/values that we can derived from the unit circle, and then we'll practice computing trig values. As always, catch-up sessions are available.
21
Mar

Session 17

Trigonometry

Hey guys, today we'll learn what radians are and how to convert between them and degrees. Then we'll go over the Unit Circle, trig identities/values that we can derived from the unit circle, and then we'll practice computing trig values. As always, catch-up sessions are available.
26
Mar

Session 18

Trigonometry

Hey guys, today we're going to be plotting the values of trigonometric functions that we derived using the unit circle onto a graph; then we'll play around with inverse functions and make the trigonometric functions invertible (For background knowledge on making functions invertible, go to https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/a/intro-to-invertible-functions). We'll also determine the domain and range of these inverse functions and see their graphs as well. As always, catch-up sessions are available.
27
Mar

Session 19

Trigonometry

Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine. As always, catch-up sessions are available.
4
Apr

Session 20

Trigonometry

Today we'll just practice what we learnt last session, deriving the equations of sinusoidal functions using their graphs. This is a very tedious process, so we will have an additional session on this. As always, catch-up sessions are available.
10
Apr

Session 21

Trigonometry

(CONTINUING) Today we'll just practice what we learnt last session, deriving the equations of sinusoidal functions using their graphs. This is a very tedious process, so we will have an additional session on this. As always, catch-up sessions are available.
17
Apr

Session 22

Trigonometry

Today we're going to be applying trig identities to solve sinusoidal equations! Have fun, see you soon. As always, catch-up sessions are available.
24
May

Session 23

Exponential models

Hey guys, today we're going to be covering -Properties of exponents (rational exponents as well) (review) -Exponential function properties (growth and decay)
25
May

Session 24

Logarithms

-What logarithms are and converting expressions into exponential/logarithmic form -Logarithm properties - Logarithmic functions
28
May

Session 25

Trigonometry

Today we're going to be applying trig identities to solve sinusoidal equations! Have fun, see you soon. As always, catch-up sessions are available.
29
May

Session 26

Logarithms

-What logarithms are and converting expressions into exponential/logarithmic form -Logarithm properties - Logarithmic functions
30
May

Session 27

Transformations of functions

Hey guys, today we're going to be doing something different. We'll be play with different functions on desmos to build some intuition on... -Vertical and horizontal translations -Vertical and horizontal stretches/compressions -Reflections
3
Jun

Session 28

Transformations of functions

Hey guys, today we're going to be doing something different. We'll be play with different functions on desmos to build some intuition on... -Vertical and horizontal translations -Vertical and horizontal stretches/compressions -Reflections We'll also cover vectors and matrices--what they are, how to add and subtract them, as well as multiply them. We'll use this to prove the rotation matrix, a linear function to rotate functions or points by a given angle.

Public Discussion

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