This series ended on August 9, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
Hey guys, wanna get ahead of the curve? Wanna catch-up or reinforce your skills? I'm hosting this series because I really enjoyed my Algebra 2 and Trigonometry series in the past and because of popular demand.
In this series we'll cover:
-Polynomials (polynomial arithmetic, factoring, remainder and factor theorem, solving equations, features of graphs)
-Vectors
-Complex Numbers and Equations
-Rational Functions
-Exponents/Logarithms (Arithmetic, Algebra, and Graphs)
-Function Transformations
-Types of triangles,
- General Triangle Properties
-Circumcenter, Centroid, Altitudes, and Medians
-Triangular Pyramids and Prisms (and their brain bending properties :)
-Right Triangle Trigonometry (SOHCAHTOA, Complementary Angles, Reciprocal Trigonometric Ratios, etc.)
-Unit Circle and Trigonometric Identities/Values
-Radians and Degrees
-Trigonometric Functions
-Inverse Trigonometric Functions
-Sinusoidal Graphs/Equations
-Other Trigonometric Identities
✋ ATTENDANCE POLICY
Catch-up sessions are always available. Notes will also be posted.
Dates
June 7 - August 8
Learners
48 / 50
Total Sessions
23
About the Tutor
PL
JG
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
23
7
Jun
Pa
Session 1
Polynomial arithmetic
Hey guys, today we will start by
-Introducing the series (orientiation)
-Defining polynomials
-Learning how to add, subtract, and multiply polynomials (FOIL)
-Learn how to divide by polynomials
As always, catch-up sessions are available, just ask.
12
Jun
Pg
Session 2
Polynomial graphs
-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
14
Jun
R
Session 3
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.
16
Jun
Cn
Session 4
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? 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
-Some more advanced problems on vectors from Khan Academy
19
Jun
Pf
Session 5
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
21
Jun
R
Session 6
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.
23
Jun
Cn
Session 7
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
26
Jun
Cn
Session 8
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.
28
Jun
R
Session 9
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.
30
Jun
Em
Session 10
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)
3
Jul
L
Session 11
Logarithms
-What logarithms are and converting expressions into exponential/logarithmic form
-Logarithm properties
- Logarithmic functions
6
Jul
R
Session 12
Review
Hey guys, today we wil review the concepts in our third unit, exponents, logarithms, and their graphs. We will be focused more on practicing our skills and resolving any remaining doubts.
8
Jul
Em
Session 13
Exponential models
-Properties of exponents (rational exponents and graphs) (review)
- Introduction to Logarithms and Logarithm Properies
16
Jul
L
Session 14
Logarithms
- Logarithm properties (review), proofs, and graphs.
- Unit review
18
Jul
Tf
Session 15
Transformations of functions
Continuing
- Logarithm properties (review), proofs, and graphs.
- Unit review
Then, 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
20
Jul
M
Session 16
Modeling
Hey guys, today is our last session; we're going to be going over how to model situations using functions.
21
Jul
E
Session 17
Equations
Hey guys, today we'll be covering
-Square root equations (extraneous solutions)
-non-linear system of equations
-solving equations by graphing
24
Jul
T
Session 18
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 (
31
Jul
T
Session 19
Trigonometry
Hey guys, today we'll be talking about medians, centroids, and circumcenters, orthocenters, and more, so get ready!
2
Aug
T
Session 20
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)
5
Aug
T
Session 21
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.
7
Aug
T
Session 22
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 (
8
Aug
T
Session 23
Trigonometry
Hey guys, today we'll be talking about medians, centroids, and circumcenters, orthocenters, and more, so get ready!