Style: The class is interactive. Students may ask questions at any time, the instructor will explain and will not move on unless everyone is ready. The class is designed to help with the majority of standardized tests, including the SAT, which means we will go into details and types of questions that may be somewhat different from school assignments. In general, we do not promote learning by rote and we do not assign 'busy homework'. This class is harder and more detailed than the usual school class - the student must be willing to take on a challenge! Our class is close in difficulty and style to what is currently taught in Eastern Europe, Russia and some Western European countries.

Credit: There is no credit for this class. Our goal is to help students understand logically, memorize for the long term and enjoy the control they acquire over the subject matter. We believe there is a conflict of interest between selling knowledge and selling credits, therefore we do not grade students' performance and we do not give credit. For parents' information, we send a progress report based on classroom observations and homework completion.

Radians: definition, conversion to degrees, period, angles in the unit circle.

Right Angle Triangle Trigonometry: compare and contrast with trigonometry in the unit circle.

Trigonometric Functions: definition, geometric interpretation, special values, period, symmetry, parity, domain, range, graphing.

Inverse Trigonometric Functions: invertibility, principal period, inverses.

Trigonometric Equations I: simple trigonometric equations solved using inverses, general solution, solutions in an interval.

Trigonometric Identities: sum and product, double arc, half arc, sum-to-product, product-to-sum, tangent of the half-arc, manipulating trigonometric expressions.

Trigonometric Equations: solve more complex equations using identities and changes of variable.

Trigonometric Sums: telescoping sums.

Polar Coordinates: definition, conversions.

Solving Triangles: sine law, cosine law, areas of triangles, angle of elevation, angle of depression.

Complex Numbers: algebraic form, Argand plane, trigonometric form, exponential form, operations with complex numbers, de Moivre's formula, equations with complex numbers, cyclotomic equations, cubic roots of unity, properties of the cubic roots, applications to divisibility of polynomials by quadratic factors, telescoping sums.

We send GOTM lecture notes and homework at each lesson. Answer keys and full solutions are sent before the next lesson.