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