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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, 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
|
Sunday
Jun 5 - Nov 13 |
7:30 - 9:00 PM ET
Jun 5 - Nov 13
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 |
Wendy Hou |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Monday
Jun 20 - Dec 12 |
7:30 - 9:00 PM ET
Jun 20 - Dec 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 |
Elijah Willox |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Thursday
Jul 7 - Dec 8 |
7:30 - 9:00 PM ET
Jul 7 - Dec 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 |
Noah Gandy Walton |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Wednesday
Aug 3 - Jan 18 |
7:30 - 9:00 PM ET
Aug 3 - Jan 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 |
Miles Dillon Edwards |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Sunday
Aug 21 - Feb 12 |
7:30 - 9:00 PM ET
Aug 21 - 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 |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Friday
Sep 2 - Feb 17 |
7:30 - 9:00 PM ET
Sep 2 - Feb 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 |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Wednesday
Sep 28 - Mar 15 |
7:30 - 9:00 PM ET
Sep 28 - Mar 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 |
TBA |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Sunday
Nov 13 - Apr 30 |
7:30 - 9:00 PM ET
Nov 13 - Apr 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 |
TBA |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
|
Tuesday
Dec 13 - May 23 |
7:30 - 9:00 PM ET
Dec 13 - May 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 |
TBA |
$630
(~$29/week)
$692 w/books
|
$630
(~$29/week)
ENROLL
With Books $692
|
AoPS Holidays
There are no classes May 28‐30, July 2‐4, September 3‐5, October 31, November 21‐27, and 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 non-trigonometric 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 | Exponential Form |
| Lesson 12 | Roots of Unity |
| Lesson 13 | Geometry Using Complex Numbers |
| 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. |
