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.

This course is University of California a-g approved for all instances starting after April 15, 2016. Click here for more details.

24 weeks

24 weeks ARE YOU READY? DO YOU NEED THIS?  

Schedule

Thursday
Apr 28 - Oct 6
7:30 - 9:00
PM ET
Apr 28 - Oct 6
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
FULL
Tuesday
Jun 7 - Nov 15
7:30 - 9:00
PM ET
Jun 7 - Nov 15
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
$480
$544 w/books
$480
With Books $544
ENROLL
Wednesday
Aug 10 - Feb 8
7:30 - 9:00
PM ET
Aug 10 - Feb 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
$480
$544 w/books
$480
With Books $544
ENROLL
Wednesday
Oct 5 - Apr 5
7:30 - 9:00
PM ET
Oct 5 - Apr 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
TBA $480
$544 w/books
$480
With Books $544
ENROLL

AoPS Holidays

There are no classes May 30, July 4, September 5, November 21 - 26, or 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 More Inequalities
Lesson 22 Even More Inequalities
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.

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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