Intermediate Algebra Online Math Course

Intermediate Algebra

(Formerly called Algebra 3) Algebraic subjects covered include advanced quadratics, polynomials, conics, general functions, logarithms, clever factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, functional equations, and more.

24 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
24 weeks ARE YOU READY? DO YOU NEED THIS?  

Schedule

Monday
Jan 27 - Jul 13
7:30 - 9:00
PM ET
Jan 27 - Jul 13
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
CLOSED
Wednesday
Feb 26 - Aug 5
7:30 - 9:00
PM ET
Feb 26 - Aug 5
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Thursday
Mar 26 - Sep 3
7:30 - 9:00
PM ET
Mar 26 - Sep 3
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Tuesday
May 19 - Oct 27
7:30 - 9:00
PM ET
May 19 - Oct 27
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Sunday
May 31 - Nov 22
7:30 - 9:00
PM ET
May 31 - Nov 22
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Thursday
Jun 11 - Nov 19
7:30 - 9:00
PM ET
Jun 11 - Nov 19
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Wednesday
Jun 24 - Dec 9
7:30 - 9:00
PM ET
Jun 24 - Dec 9
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Monday
Aug 17 - Feb 22
7:30 - 9:00
PM ET
Aug 17 - Feb 22
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Friday
Aug 28 - Feb 26
7:30 - 9:00
PM ET
Aug 28 - Feb 26
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$570
$639 w/books
$570
With Books $639
ENROLL
Fall 2020This course will be offered in Fall 2020. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes May 23–25, July 3–5, September 5–7, and December 21–January 3.

Who Should Take?

Students should have a mastery of basic algebra up through and including quadratic equations before taking this course. Typically this class follows our Introduction to Geometry class.

This course goes beyond what you would find in a typical honors Algebra curriculum. Algebra courses vary widely in their definitions, but our Intermediate Algebra class covers topics typically found in honors Algebra 2 and Precalculus classes, as well as many topics that are not found in most other curricula. Students who have completed a typical honors Algebra 2 course elsewhere may be ready for Intermediate Algebra.

Lessons

Lesson 1 Review and Overview
Lesson 2 Functions Review
Lesson 3 Complex Numbers
Lesson 4 Quadratic Equations and Graphing Parabolas
Lesson 5 Minima, Maxima, and Circles
Lesson 6 Conics
Lesson 7 Polynomial Division, the Remainder Theorem, the Factor Theorem
Lesson 8 Integer and Rational Roots
Lesson 9 Proof by Contradiction and Irrational Roots
Lesson 10 Vieta's Formulas
Lesson 11 Multivariable Polynomials
Lesson 12 Advanced Strategies for Polynomials
Lesson 13 Arithmetic and Geometric Sequences and Series
Lesson 14 Advanced Sequences and Series
Lesson 15 Induction
Lesson 16 Exponents and Logarithms
Lesson 17 Radicals, Monotonic, and Even and Odd Functions
Lesson 18 Rational Functions and Partial Fractions
Lesson 19 Piecewise Functions, Absolute Value, Integer and Fractional Part
Lesson 20 Inequalities
Lesson 21 Mean Inequality Chain
Lesson 22 Cauchy-Schwarz Inequality
Lesson 23 Functional Equations
Lesson 24 More Functional Equations and Challenging Problems

Required Textbook

Intermediate Algebra
By Richard Rusczyk and Mathew Crawford

A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.

Intermediate Algebra has been an excellent course! The class has been extremely fun and challenging, and it is amazing how much material we have covered in this amount of time!  To have a great group of peers to communicate with in class and on the message board is awesome! As a homeschool student, I use Art of Problem Solving online classes as my math curriculum, and I am truly grateful to have such a great resource for my education. AoPS rocks!

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