Intermediate Algebra Online Math Course Intermediate Algebra | Online Math Course | AoPS

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? SYLLABUS  

Schedule

Monday
Oct 19 - Apr 19
7:30 - 9:00
PM ET
Oct 19 - Apr 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
CLOSED
Wednesday
Nov 11 - May 12
7:30 - 9:00
PM ET
Nov 11 - May 12
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
WAITLIST
Friday
Dec 11 - Jun 4
7:30 - 9:00
PM ET
Dec 11 - Jun 4
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
Dec 13 - Jun 13
7:30 - 9:00
PM ET
Dec 13 - Jun 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
ENROLL
Thursday
Jan 28 - Jul 8
7:30 - 9:00
PM ET
Jan 28 - Jul 8
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
$595
$664 w/books
$595
With Books $664
ENROLL
Monday
Feb 8 - Aug 2
7:30 - 9:00
PM ET
Feb 8 - Aug 2
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
$595
$664 w/books
$595
With Books $664
ENROLL
Wednesday
Mar 3 - Aug 11
7:30 - 9:00
PM ET
Mar 3 - Aug 11
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
$595
$664 w/books
$595
With Books $664
ENROLL
Tuesday
Mar 16 - Aug 24
7:30 - 9:00
PM ET
Mar 16 - Aug 24
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
$595
$664 w/books
$595
With Books $664
ENROLL
Sunday
Apr 25 - Oct 24
7:30 - 9:00
PM ET
Apr 25 - Oct 24
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
$595
$664 w/books
$595
With Books $664
ENROLL

AoPS Holidays

There are no classes November 23–29, December 21–January 3, May 29–31, July 3–5, and September 4–6.

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.

I really enjoyed this class. I love Algebra and learned a ton. This course went well beyond anything that would ever be offered in my school's wildest dreams.

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