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Introduction to Counting & ProbabilityFundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem. 
12 weeks 
12 weeks ARE YOU READY? DO YOU NEED THIS? 
Schedule
Tuesday
May 21  Aug 6 
7:30  9:00
PM ET
May 21  Aug 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 
Jeffrey Hankins 
$325
$370 w/books

$325
CLOSED
With Books $370

Wednesday
May 22  Aug 7 
7:30  9:00
PM ET
May 22  Aug 7
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 
Brian Edwards 
$325
$370 w/books

$325
CLOSED
With Books $370

Monday
Jun 3  Aug 19 
7:30  9:00
PM ET
Jun 3  Aug 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 
Joseph Stahl 
$325
$370 w/books

$325
CLOSED
With Books $370

Thursday
Jun 6  Aug 29 
7:30  9:00
PM ET
Jun 6  Aug 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 
Alina Kononov 
$325
$370 w/books

$325
CLOSED
With Books $370

Friday
Jun 21  Sep 6 
7:30  9:00
PM ET
Jun 21  Sep 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 
Joel Schneider 
$325
$370 w/books

$325
CLOSED
With Books $370

Wednesday
Aug 21  Nov 6 
7:30  9:00
PM ET
Aug 21  Nov 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 
sarahmarie belcastro 
$325
$370 w/books

$325
WAITLIST
With Books $370

Thursday
Aug 22  Nov 7 
7:30  9:00
PM ET
Aug 22  Nov 7
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 
Samer Seraj 
$325
$370 w/books

$325
ENROLL
With Books $370

Sunday
Sep 8  Nov 24 
7:30  9:00
PM ET
Sep 8  Nov 24
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 
sarahmarie belcastro 
$325
$370 w/books

$325
ENROLL
With Books $370

Tuesday
Sep 24  Dec 17 
7:30  9:00
PM ET
Sep 24  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 
Marcus Neal 
$325
$370 w/books

$325
ENROLL
With Books $370

Monday
Oct 14  Jan 20 
7:30  9:00
PM ET
Oct 14  Jan 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 
Kaitlin Maile 
$325
$370 w/books

$325
ENROLL
With Books $370

Wednesday
Dec 4  Mar 4 
7:30  9:00
PM ET
Dec 4  Mar 4
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 
Heather Finotti 
$325
$370 w/books

$325
ENROLL
With Books $370

Friday
Dec 6  Mar 6 
7:30  9:00
PM ET
Dec 6  Mar 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 
Jeffrey Hankins 
$325
$370 w/books

$325
ENROLL
With Books $370

Spring 2020  This course will be offered in Spring 2020. Click here to join our mailing list to be notified when the course schedule is available. 
AoPS Holidays
There are no classes September 1–2, November 25–December 1, or December 21–January 3.
Who Should Take?
This course is appropriate for students in grades 69 who have mastered basic algebra up through solving linear equations and manipulating multivariable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. This course is roughly the same difficulty as our Introduction to Number Theory class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.Lessons
Lesson 1  Lists, Venn Diagrams, Addition, Multiplication 
Lesson 2  Casework, Constructions, and Restriction 
Lesson 3  Overcounting and Combinations 
Lesson 4  Combinations and Distinguishability 
Lesson 5  Challenging Problems Day 
Lesson 6  Introduction to Probability 
Lesson 7  Probability and Arithmetic 
Lesson 8  Geometric Probability, Think About It!, and Expected Value 
Lesson 9  Pascal's Triangle and Identities 
Lesson 10  The Hockey Stick Identity 
Lesson 11  The Binomial Theorem 
Lesson 12  Challenging Problems Day 2 
Required Textbook
Introduction to Counting & Probability
A thorough introduction for students in grades 710 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
