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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

Sunday
Jan 8 - Jun 25
7:30 - 9:00
PM ET
Jan 8 - Jun 25
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
CLOSED
Wednesday
Feb 8 - Jul 19
7:30 - 9:00
PM ET
Feb 8 - Jul 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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Sunday
Mar 12 - Aug 27
7:30 - 9:00
PM ET
Mar 12 - Aug 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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Friday
Mar 24 - Sep 1
7:30 - 9:00
PM ET
Mar 24 - Sep 1
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Thursday
Apr 13 - Sep 21
7:30 - 9:00
PM ET
Apr 13 - Sep 21
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Tuesday
May 2 - Oct 17
7:30 - 9:00
PM ET
May 2 - Oct 17
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Friday
May 26 - Nov 3
7:30 - 9:00
PM ET
May 26 - Nov 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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Tuesday
Jun 6 - Dec 5
7:30 - 9:00
PM ET
Jun 6 - Dec 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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Sunday
Jun 25 - Dec 17
7:30 - 9:00
PM ET
Jun 25 - Dec 17
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Wednesday
Jul 5 - Dec 20
7:30 - 9:00
PM ET
Jul 5 - Dec 20
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Monday
Aug 7 - Feb 12
7:30 - 9:00
PM ET
Aug 7 - Feb 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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL
Sunday
Aug 13 - Feb 18
7:30 - 9:00
PM ET
Aug 13 - Feb 18
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
$650 (~$28/week)
$724 w/books
$650 (~$28/week)
With Books $724
ENROLL

AoPS Holidays

There are no classes May 27‐29, July 4, September 2‐4, October 31, November 20‐27, and December 21‐January 3, 2024.

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.

This course was awesome! I learned lots of material from complex numbers to inequalities. Every class challenged me thoroughly, but not so much that I had no idea what was going on. All in all, this class was extremely fun and interesting and it has helped me a lot.

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