Need Help?
Need help finding the right class? Have a question about how classes work?
PrecalculusIntroduction and evaluation of trigonometric functions, trigonometric identities, geometry with trigonometry, parametric equations, special coordinate systems, complex numbers, exponential form of complex numbers, De Moivre's Theorem, roots of unity, geometry with complex numbers, two-dimensional and three-dimensional vectors and matrices, determinants, dot and cross product, applications of vectors and matrices to geometry. |
22 weeks |
| 22 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
|
Thursday
Apr 18 - Sep 19 |
7:30 - 9:00 PM ET
Apr 18 - Sep 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 |
Dylon Chow |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
CLOSED
With Books $732
|
|
Wednesday
May 29 - Oct 23 |
7:30 - 9:00 PM ET
May 29 - Oct 23
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 |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Sunday
Jun 9 - Nov 10 |
7:30 - 9:00 PM ET
Jun 9 - Nov 10
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 |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Tuesday
Jun 25 - Nov 19 |
7:30 - 9:00 PM ET
Jun 25 - Nov 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 |
Andrew Sayler |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Friday
Aug 9 - Jan 31 |
7:30 - 9:00 PM ET
Aug 9 - Jan 31
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 |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Thursday
Aug 29 - Feb 20 |
7:30 - 9:00 PM ET
Aug 29 - Feb 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 |
Jeffrey Hankins |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Sunday
Sep 29 - Mar 16 |
7:30 - 9:00 PM ET
Sep 29 - Mar 16
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 |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Monday
Oct 21 - Apr 7 |
7:30 - 9:00 PM ET
Oct 21 - Apr 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 |
Eli Brottman |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Sunday
Nov 10 - Apr 27 |
7:30 - 9:00 PM ET
Nov 10 - Apr 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 |
Sarah Seales |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
|
Tuesday
Dec 10 - May 20 |
7:30 - 9:00 PM ET
Dec 10 - May 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 |
Jerry Leung |
$670
(~$31/week)
$732 w/books
|
$670
(~$31/week)
ENROLL
With Books $732
|
AoPS Holidays
There are no classes July 4, August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.
Who Should Take?
This class typically follows our Intermediate Algebra course. Students should have completed an honors Algebra 2 or an equivalent course before considering this class. Students who have already taken a standard trigonometry or precalculus class should not simply assume this class is too easy for them. Instead, they should take the diagnostic test above to determine if this class is appropriate for them. Similarly, a student who has completed an honors Algebra 2 course should consider taking our Intermediate Algebra class prior to taking our Precalculus class. Our Intermediate Algebra class includes the non-trigonometric topics of a typical precalculus class, plus a great many interesting topics left out of most standard curricula.Lessons
| 1 | Basic Trigonometry |
| 2 | Graphing Trig and Inverse Trig Functions |
| 3 | Trigonometric Identities I |
| 4 | Trigonometric Identities II |
| 5 | Law of Cosines and Law of Sines |
| 6 | More Geometry with Trigonometry |
| 7 | Parametric Equations |
| 8 | Polar, Cylindrical, and Spherical Coordinates |
| 9 | Introduction to Complex Numbers and the Complex Plane |
| 10 | Exponential Form I |
| 11 | Exponential Form II |
| 12 | Roots of Unity |
| 13 | Geometry Using Complex Numbers |
| 14 | Vectors in Two Dimensions |
| 15 | Vectors and Matrices in Two Dimensions |
| 16 | Matrices in Two Dimensions |
| 17 | Matrices in Two Dimensions II |
| 18 | Determinants of 2x2 Matrices and Introduction to 3D Vectors |
| 19 | Matrices in Three Dimensions |
| 20 | Lines and Planes in Three Dimensions |
| 21 | Cross Product and Determinant |
| 22 | Applications of Vectors to Euclidean Geometry |
Required Textbook
|
Precalculus A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions. |
