Precalculus

Introduction 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?  

Schedule

Wednesday
Jun 3 - Oct 28
7:30 - 9:00
PM ET
Jun 3 - Oct 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
$445
$498 w/books
$445
With Books $498
FULL
Thursday
Oct 15 - Mar 31
7:30 - 9:00
PM ET
Oct 15 - Mar 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
$445
$498 w/books
$445
With Books $498
ENROLL
Tuesday
Dec 1 - May 10
7:30 - 9:00
PM ET
Dec 1 - May 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
$445
$498 w/books
$445
With Books $498
ENROLL
Spring 2016This course will be offered in Spring 2016. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes on September 7, November 23-27, or December 19-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 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
By Richard Rusczyk

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.

This class was highly engaging and challenging. I appreciated the varied problem types, ranging from word problems to proofs to algebraic manipulations. I also appreciated the clear explanations given in class.

ACS WASC
ACCREDITED
SCHOOL

Stay Connected

Subscribe to get news and
updates from AoPS, or Contact Us.
© 2015
AoPS Incorporated
Invalid username
Login to AoPS