This course includes matrix algebra, determinants, vector spaces, eigenvalues, and eigenvectors. Applications to engineering, computer science, mathematics, physics, biology, economics, and statistics are included throughout the course. Students engage in chapter projects with real-world applications. AP® Calculus is a prerequisite to this course. (Full year, 1 credit)

This course builds on the concepts of single-variable calculus and applies those concepts to problems in higher dimensions. The course covers some topics already addressed in the AP® Calculus BC syllabus (but not in the AP® Calculus AB syllabus), such as parametric equations, polar coordinates, and additional integration techniques. Three-dimensional work begins with vectors and…

The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics are covered under four broad themes: Exploring Data (observing patterns and departures from patterns), Sampling and Experimentation (deciding what and how to measure), Anticipating Patterns (producing models using probability theory and…

AP® Calculus BC is roughly equivalent to both first- and second-semester college calculus courses. The course is a continuation of Pre-Calculus – Honors, specifically part “A” of Calculus “ABC,” and covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. This course…

AP® Calculus AB is roughly equivalent to a first-semester college calculus course devoted to topics on differential and integral calculus. The course covers topics in areas such as concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course develops students’ mastery of the concepts of calculus with an emphasis…

This course covers differential and integral calculus, and is primarily concerned with developing students’ understanding of the concepts behind calculus and providing experience with its methods and applications. Instead of serving as a first-year college course (as in the case of an AP® course), this course is intended to be an introduction to the subject…

This course builds upon concepts introduced in Algebra II-Trigonometry Honors/Accelerated Algebra II, and is designed to prepare students for college-level work in AP® Calculus BC. In addition, emphasis is placed on the applications of a graphing calculator, real-world problems, and proofs of formulas and identities. Besides covering all the topics from Pre-Calculus, the course includes…

This rigorous course builds upon the concepts and skills mastered in previous Algebra classes and aims to facilitate a deep understanding of mathematics. This course endeavors to improve students’ ability to analyze and solve sophisticated mathematical problems. Students develop their quantitative, reasoning, algebraic, and graphical skills. This course is designed to prepare students for college-level…

This course builds upon the concepts introduced in Algebra II and introduces a number of essential topics from Pre-Calculus. The function topics stressed in this course include function attributes (such as domain, range, increasing, decreasing, average rate of change, extrema, and intercepts), a comprehensive study of the different types of functions (including linear, quadratic, exponential,…

This course builds on the fundamental concepts of the variables, equations, and graphs studied in Algebra I, namely the properties and applications of numbers, graphs, tables, expressions, equations, and inequalities (as applied to linear, quadratic, trigonometric, polynomial, rational, logarithmic, and exponential functions). In addition, students are given a thorough foundation in the concepts and applications…