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Pre-Calculus • Series

AP Precalculus

Amelia Z

Series Details

Sessions

Public Discussion

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

29 / 30

Total Sessions

20

About the Tutor

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

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

Session 2

Other Topics

Ch 1 and 2 Problems
1
Aug

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

Session 4

Other Topics

Ch 3 and 4 problems
3
Aug

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

Session 6

Other Topics

Ch. 5 problems
7
Aug

Session 7

Other Topics

Review of Ch. 1-5
8
Aug

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

Session 9

Other Topics

Ch. 7 and 8 Problems
10
Aug

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

Session 11

Other Topics

Ch. 9 problems
14
Aug

Session 12

Other Topics

Review of chapters 7-9
15
Aug

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

Session 14

Other Topics

Ch. 10 problems
17
Aug

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

Session 16

Other Topics

Ch. 12 problems
21
Aug

Session 17

Other Topics

Misc extras

Partial Fractions
Sequences and Series
Intro to limits
22
Aug

Session 18

Other Topics

Misc. problems
23
Aug

Session 19

Other Topics

Problems for full series
24
Aug

Session 20

Other Topics

Problems for full series

Public Discussion

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