Courses

Each course is designed to balance understanding and solving, basics and challenges, details and big pictures.

Course Learning Flowchart

Calculus Open House Video

AP Calculus BC (Calculus 1 & 2)

In high school, the calculus sequence is named AP Calculus AB, AP Calculus BC, and Multivariable Calculus. In college, the sequence is named Calculus 1, 2 and 3. AP Calculus AB is equivalent to Calculus 1. AP Calculus BC is equivalent to Calculus 1 plus Calculus 2 (i.e. AP Calculus BC includes AP Calculus AB and Calculus 2). Multivariable Calculus is equivalent to Calculus 3. AP Calculus BC (Calculus 1 & 2) includes all the contents of AP Calculus AB (Calculus 1) such as differential and integral calculus for algebraic, trigonometric functions and other transcendental functions of a single variable, with applications to curve sketching, optimization problems, area and volume; additionally it covers contents of Calculus 2: more integration techniques and applications, series, parametric and polar curves and their calculus and applications.

Website of College Board AP Exams

AP Calculus AB (Calculus 1)

In high school, the calculus sequence is named AP Calculus AB, APCalculus BC, and Multivariable Calculus. In college, the sequence is named Calculus 1, 2 and 3. AP Calculus AB is equivalent to Calculus 1. AP Calculus BC is equivalent to Calculus 1 plus Calculus 2 (i.e. AP Calculus BC includes AP Calculus AB and additional topics in Calculus 2). Multivariable Calculus is equivalent to Calculus 3. AP Calculus AB (Calculus 1) covers differential and integral calculus for algebraic, trigonometric functions and other transcendental functions of a single variable, with applications to curve sketching, optimization problems, area and volume.

Website of College Board AP Exams

AP Precalclulus

This is a preparation course for calculus. The theme of the course is functions. Students will learn definitions, properties, graphs, and manipulation techniques of polynomial, rational, exponential, logarithmic, trigonometric functions, and their combinations. Analytical geometry and series will also be covered. These topics will prepare students for differentiation and integration of functions, differential geometry and series representation of functions in calculus.

Website of College Board AP Exams

Algebra 2

This course introduces many important algebraic concepts and ideas and develops the algebraic, analytical and solving capabilities for students through among other things expressions, functions, equations, inequalities, analytical geometry and sequences and series. After this course, the students are expected to gain clear understanding of various algebraic objects and strong algebraic problem-solving skills.

Geometry

This course presents a comprehensive look at geometric concepts that include basic geometric elements, measurement, construction, reasoning and proofs, congruence, similarity, and transformations. The types of geometric figures include parallel and perpendicular lines, triangles, quadrilaterals, polygons, and circles. The course also covers basic analytical geometry (the use of coordinate planes to study geometric figures by algebra) and trigonometry.

Algebra 1

This is the first course of algebra. It explores how to use variables and numbers with mathematical operations and comparisons. It involves evaluating and manipulating expressions, solving equations and inequalities and graphing equations and functions in coordinate planes to develop understanding of algebraic concepts and problem solving skills. It focuses on a variety of elementary functions such as linear and quadratic functions.

Prealgebra

Prealgebra serves as a bridge to connect arithmetic and algebra. As its name suggests, Prealgebra is a course to prepare students for algebra, the unifying thread of almost all mathematics.