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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 |
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 |
Jon Joseph |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
CLOSED
With Books $724
|
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 |
Julie Zhu |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
Aaron Doman |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
Radu Andrei Cebanu |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
Andrew Sayler |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
Achilleas Sinefakopoulos |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
Eric Wofsey |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
TBA |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
TBA |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
TBA |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
TBA |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
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 |
TBA |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
AoPS Holidays
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
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Intermediate Algebra 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. |