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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
Aug 20 - Feb 11 |
7:30 - 9:00 PM ET
Aug 20 - 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 |
Martha Maria Bernal Guillen |
$650
(~$30/week)
$712 w/books
|
$650
(~$30/week)
CLOSED
With Books $712
|
|
Friday
Sep 8 - Feb 23 |
7:30 - 9:00 PM ET
Sep 8 - Feb 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 |
Laura Pierson |
$650
(~$30/week)
$712 w/books
|
$650
(~$30/week)
CLOSED
With Books $712
|
|
Thursday
Sep 28 - Mar 14 |
7:30 - 9:00 PM ET
Sep 28 - Mar 14
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 |
$650
(~$30/week)
$712 w/books
|
$650
(~$30/week)
ENROLL
With Books $712
|
|
Sunday
Nov 12 - Apr 28 |
7:30 - 9:00 PM ET
Nov 12 - Apr 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 |
Laura Pierson |
$650
(~$30/week)
$712 w/books
|
$650
(~$30/week)
ENROLL
With Books $712
|
|
Tuesday
Dec 12 - May 21 |
7:30 - 9:00 PM ET
Dec 12 - May 21
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 |
Dan Kinch |
$650
(~$30/week)
$712 w/books
|
$650
(~$30/week)
ENROLL
With Books $712
|
AoPS Holidays
There are no classes October 31, November 20‐26, and December 21‐January 3, 2024.
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. |
