Art of Problem Solving
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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
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 |
Maria Mendes |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
FULL
With Books $724
|
|
Friday
Sep 8 - Mar 8 |
7:30 - 9:00 PM ET
Sep 8 - Mar 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 |
Carlos Bovell |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
CLOSED
With Books $724
|
|
Thursday
Sep 28 - Mar 28 |
7:30 - 9:00 PM ET
Sep 28 - Mar 28
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 |
Ben S. |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
4 spots left |
|
Monday
Oct 30 - Apr 29 |
7:30 - 9:00 PM ET
Oct 30 - Apr 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 |
Christian Hokaj |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
|
Sunday
Nov 12 - May 12 |
7:30 - 9:00 PM ET
Nov 12 - 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 |
Julie Zhu |
$650
(~$28/week)
$724 w/books
|
$650
(~$28/week)
ENROLL
With Books $724
|
|
Wednesday
Nov 29 - May 22 |
7:30 - 9:00 PM ET
Nov 29 - May 22
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 |
Alyssa Zisk |
$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
|
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. |
