This series ended on August 24, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
We will be using the collegeboard AP Precalc curriculum standards, not the Khan Academy curriculum standards.
If learners want a particular topic to be covered it can be requested.
Lectures (with slides shared later) will generally alternate with practice problems pertinent to the lecture in the session just prior to the practice session. In the beginning we will have more than one session dedicated to a lecture before doing problems. There are review sessions scattered in between. Structure is based on Cohen textbook, 11th ed.
The tutor has taken the AP Precalculus exam last year and scored a 5.
✋ ATTENDANCE POLICY
You are free to attend/skip whichever sessions you want, would be nice if you messaged, but it is up to you what topics you want to cover.
Dates
July 30 - August 24
Learners
30 / 30
Total Sessions
20
About the Tutor
SL
AZ
Hi people. I'm a high schooler from California, and I especially like biology and math.
View Amelia Z's Profile
Upcoming Sessions
0
Past Sessions
20
30
Jul
OT
Session 1
Other Topics
Cohen Ch. 1 Fundamentals lecture
Sets of real numbers
absolute value
solving equations
graphs and graphing utilities
symmetry and graphs, circles
Cohen Ch. 2 Equations and inequalities lecture
Quadratic Equations: Theory and Examples
Other Types of Equations
Inequalities
More on Inequalities
31
Jul
OT
Session 2
Other Topics
Ch 1 and 2 Problems
1
Aug
OT
Session 3
Other Topics
Cohen Ch. 3 Functions lecture
The Definition of a Function
The Graph of a Function
Shapes of Graphs. Average Rate of Change
Techniques in Graphing
Inverse Functions
Cohen Ch. 4 Polynomial and Rational Functions. Application to Optimization
Linear Functions
Quadratic Functions
Setting Up Equations That Define Functions
Maximum and Minimum Problems
Polynomial Functions
Rational Functions
2
Aug
OT
Session 4
Other Topics
Ch 3 and 4 problems
3
Aug
OT
Session 5
Other Topics
Cohen Ch. 5 Exponential and Logarithmic Functions
Exponential Functions
The Exponential Function y = e^x
Logarithmic Functions
Properties of Logarithms
Equations and Inequalities with Logs and Exponents
Compound Interest
Exponential Growth and Decay
6
Aug
OT
Session 6
Other Topics
Ch. 5 problems
7
Aug
OT
Session 7
Other Topics
Review of Ch. 1-5
8
Aug
OT
Session 8
Other Topics
Cohen Ch. 7 Trigonometric Functions lecture
Radian Measure
Trigonometric Functions of Angles
Evaluating the Trigonometric Functions Algebra and the Trigonometric Functions
Right-Triangle Trigonometry
Cohen Ch. 8 Graphs of the Trigonometric Functions Lecture
Trigonometric Functions of Real Numbers
Graphs of the Sine and Cosine Functions
Graphs of y = A sin(Bx - C) and y = A cos(Bx - C)
Simple Harmonic Motion
Graphs of the Tangent and the Reciprocal Functions
9
Aug
OT
Session 9
Other Topics
Ch. 7 and 8 Problems
10
Aug
OT
Session 10
Other Topics
Ch. 9 Analytical Trigonometry lecture
The Addition Formulas
The Double-Angle Formulas
The Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
The Inverse Trigonometric Functions
13
Aug
OT
Session 11
Other Topics
Ch. 9 problems
14
Aug
OT
Session 12
Other Topics
Review of chapters 7-9
15
Aug
OT
Session 13
Other Topics
Cohen Ch. 10 Additional Topics in Trigonometry Lecture
Right-Triangle Applications
The Law of Sines and the Law of Cosines
Vectors in the Plane: A Geometric Approach
Vectors in the Plane: An Algebraic Approach
Parametric Equations
Introduction to Polar Coordinates
Curves in Polar Coordinates
16
Aug
OT
Session 14
Other Topics
Ch. 10 problems
17
Aug
OT
Session 15
Other Topics
Ch. 12 The Conic Sections Lecture
The Basic Equations
The Parabola
The Ellipse
The Hyperbola
The Focus-Directrix Property of Conics
20
Aug
OT
Session 16
Other Topics
Ch. 12 problems
21
Aug
OT
Session 17
Other Topics
Misc extras
Partial Fractions
Sequences and Series
Intro to limits
22
Aug
OT
Session 18
Other Topics
Misc. problems
23
Aug
OT
Session 19
Other Topics
Problems for full series
24
Aug
OT
Session 20
Other Topics
Problems for full series