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

24 weeks ARE YOU READY? DO YOU NEED THIS?  

Schedule

Wednesday
Jun 3 - Nov 11
7:30 - 9:00
PM ET
Jun 3 - Nov 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
$460
$524 w/books
$460
With Books $524
Wednesday
Jun 3 - Nov 11
7:30 - 9:00
PM ET
Jun 3 - Nov 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
$460
$524 w/books
$460
With Books $524
Tuesday
Sep 29 - Mar 29
7:30 - 9:00
PM ET
Sep 29 - Mar 29
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
$460
$524 w/books
$460
With Books $524
ENROLL
Spring 2016This course will be offered in Spring 2016. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes on September 7, November 23-27, or December 19-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
Lesson 5 Quadratics II
Lesson 6 Polynomial Division, the Remainder Theorem, the Factor Theorem
Lesson 7 Integer and Rational Roots
Lesson 8 Proof by Contradiction and Irrational Roots
Lesson 9 Vieta's Formulas
Lesson 10 Multivariable Polynomials
Lesson 11 Advanced Strategies for Polynomials
Lesson 12 Arithmetic and Geometric Sequences and Series
Lesson 13 Advanced Sequences and Series
Lesson 14 Induction
Lesson 15 Exponents and Logarithms
Lesson 16 Radicals, Monotonic, and Even and Odd Functions
Lesson 17 Rational Functions and Partial Fractions
Lesson 18 Piecewise Functions, Absolute Value, Integer and Fractional Part
Lesson 19 Functional Equations
Lesson 20 Inequalities, AM-GM, Functional Equations
Lesson 21 More Inequalities
Lesson 22 Even More Inequalities
Lesson 23 Rearrangement Inequality and Challenging Problems
Lesson 24 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.

This was the best math course I have ever taken. I have always been very strong in math and have taken many challenging courses. Intermediate Algebra challenged me at a greater level. Writing problems are the main way that Intermediate Algebra challenged me at a new level. If I had not taken this course, I never would have known the complex proof methods I have learned. The writing problems have also made me more prepared to succeed at contests like the Mandelbrot Competition and the USAMO, as I have learned proof-writing strategies. I always like to know a lot about topics, especially topics that I have a passion for, like math. Intermediate Algebra fulfilled that desire. This was also a great help for preparing for contests like the AMC 12. All in all, this was an excellent course.

ACS WASC
ACCREDITED
SCHOOL

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