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Scholars Math 10: 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
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Tuesday
Mar 17 - Aug 11 |
7:30 - 9:00 PM ET
Mar 17 - Aug 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 |
Marcus Neal |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
CLOSED
With Books $777
|
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Sunday
Apr 12 - Sep 27 |
7:30 - 9:00 PM ET
Apr 12 - Sep 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 |
Judy Frank |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
Few Spots Left! |
|
Wednesday
May 13 - Oct 7 |
7:30 - 9:00 PM ET
May 13 - Oct 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 |
Ben S. |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
|
Sunday
May 31 - Nov 8 |
7:30 - 9:00 PM ET
May 31 - Nov 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 |
Andrew Sayler |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
|
Thursday
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 |
Jeffery Yu |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
|
Wednesday
Aug 12 - Jan 27 |
7:30 - 9:00 PM ET
Aug 12 - Jan 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 |
Jeffrey Hankins |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
|
Monday
Sep 14 - Mar 8 |
7:30 - 9:00 PM ET
Sep 14 - 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 |
Sarah Seales |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
|
Sunday
Oct 4 - Mar 28 |
7:30 - 9:00 PM ET
Oct 4 - 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 |
Angel Bell |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
|
Thursday
Oct 15 - Apr 1 |
7:30 - 9:00 PM ET
Oct 15 - Apr 1
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 |
Achilleas Sinefakopoulos |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
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Sunday
Dec 13 - Jun 6 |
7:30 - 9:00 PM ET
Dec 13 - Jun 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 |
David Reynoso Valle |
$715
(~$33/lesson)
$777 w/books
|
$715
(~$33/lesson)
With Books $777
|
AoPS Holidays
There are no classes May 23 ‐ 25, July 3 ‐ 5, September 5 ‐ 7, October 31, November 23 ‐ 29, December 21 ‐ January 3, and February 13 - 15 2027.
Who Should Take?
This class typically follows our Scholars Math 9: 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 Scholars Math 9: Intermediate Algebra class prior to taking our Precalculus class. Our Scholars Math 9: 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 Text
|
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. |
