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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, twodimensional and threedimensional 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? 
Schedule
Thursday
Jun 6  Nov 7 
7:30  9:00
PM ET
Jun 6  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 
Olena Blumberg 
$545
$602 w/books

$545
CLOSED
With Books $602

Friday
Jun 21  Nov 15 
7:30  9:00
PM ET
Jun 21  Nov 15
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 
$545
$602 w/books

$545
CLOSED
With Books $602

Tuesday
Aug 27  Feb 11 
7:30  9:00
PM ET
Aug 27  Feb 11
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 
Miles Dillon Edwards 
$545
$602 w/books

$545
ENROLL
With Books $602

Monday
Oct 14  Mar 30 
7:30  9:00
PM ET
Oct 14  Mar 30
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 
$545
$602 w/books

$545
ENROLL
With Books $602

Friday
Dec 6  May 15 
7:30  9:00
PM ET
Dec 6  May 15
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 
Xinke GuoXue 
$545
$602 w/books

$545
ENROLL
With Books $602

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 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 nontrigonometric topics of a typical precalculus class, plus a great many interesting topics left out of most standard curricula.Lessons
Lesson 1  Basic Trigonometry 
Lesson 2  Graphing Trig and Inverse Trig Functions 
Lesson 3  Trigonometric Identities I 
Lesson 4  Trigonometric Identities II 
Lesson 5  Law of Cosines and Law of Sines 
Lesson 6  More Geometry with Trigonometry 
Lesson 7  Parametric Equations 
Lesson 8  Polar, Cylindrical, and Spherical Coordinates 
Lesson 9  Introduction to Complex Numbers and the Complex Plane 
Lesson 10  Trigonometry and Complex Numbers 
Lesson 11  Roots of Unity 
Lesson 12  Geometry Using Complex Numbers I 
Lesson 13  Geometry Using Complex Numbers II: Roots of Unity 
Lesson 14  Vectors in Two Dimensions 
Lesson 15  Vectors and Matrices in Two Dimensions 
Lesson 16  Matrices in Two Dimensions 
Lesson 17  Matrices in Two Dimensions II 
Lesson 18  Determinants of 2x2 Matrices and Introduction to 3D Vectors 
Lesson 19  Matrices in Three Dimensions 
Lesson 20  Lines and Planes in Three Dimensions 
Lesson 21  Cross Product and Determinant 
Lesson 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. 