 # Mathematics: Course Offerings

Algebra I
Algebra I introduces students to the fundamental concepts and techniques of algebra. Topics include linear relationships, equations and inequalities, systems of equations, statistics, and various types of functions, including linear, absolute value, and quadratic. Statistics and geometry are integrated throughout this course, and students will learn how to utilize a graphing calculator. Credit: one unit. Prerequisite:  Pre-Algebra.

Geometry
Geometry emphasizes problem-solving strategies, questioning, investigating, analyzing critically, constructing, and communicating rigorous arguments. Key concepts addressed in this course are transformations, similarity, congruence, properties and measurements of plane figures, proofs of geometric theorems, coordinate geometry, circles, probability, three-dimensional solids, right triangle trigonometry, and tools for analyzing and measuring triangles. Modeling and algebra are integrated throughout the course. Credit: one unit.  Prerequisite: Algebra I.

Algebra II
Algebra II is a continuation of the study of algebra at the intermediate level. Major topics include solving equations and inequalities, systems of equations and inequalities in two and three variables, operations with polynomials and rational expressions, algebraic functions (absolute value, power, polynomial, rational, exponential, and logarithmic), statistics, probability, and logarithms. Credit: one unit. Prerequisite: Geometry.

Pre-Calculus
Pre-Calculus is a course that helps develop students’ understanding of functions and prepares them for further studies in mathematics, including Calculus. Topics include functions and their graphs (polynomials, rational, exponential, logarithmic, and trigonometric functions), and analytic trigonometry. Each topic is approached numerically, symbolically, and graphically. Technology and real-world applications are incorporated throughout this course. Credit: one unit. Prerequisite:  Algebra II

Math Analysis*
Math Analysis is an accelerated Pre-Calculus course designed for students who will pursue Advanced Placements Calculus (AB or BC) the following year. Topics include advanced algebra, functions, trigonometry, limits, and an introduction to differential and integral calculus. Technology and real-world applications are incorporated throughout this course. Credit: one unit.  Prerequisite:  Algebra II

Introduction to Calculus
This is a semester course of introductory Calculus designed to prepare students for taking Calculus in college. Students will study selected topics from differential and integral calculus, including the study of algebraic and transcendental functions, limits and continuity, derivatives, and antiderivatives. A main focus of the course is to explore applications of Calculus in other disciplines such as business, science, and psychology. Credit: one-half unit. Prerequisite: Pre-Calculus.

Advanced Placement Calculus AB
AP Calculus AB is designed to prepare students for the College Board AP Calculus AB examination. The course starts with a review of the Cartesian plane and the functions studied in Pre-Calculus. Major topics covered are limits and continuity, differentiation and its applications, integration and its applications, differential equations, and slope fields. This course emphasizes a multi-representational approach to calculus, with concepts and results expressed numerically, graphically, analytically, and verbally. Summer work consists of a self-review packet of the algebraic and trigonometric functions studied in Pre-Calculus that will be of most importance to Calculus. Credit: one unit. Prerequisite: Honors Pre-Calculus.

Advanced Placement Calculus BC
Advanced Placement Calculus BC is designed to prepare students for the College Board AP Calculus BC examination. This course is an extension of Calculus AB and includes additional topics in differential and integral calculus including techniques and applications of integration, parametric functions, polar functions, differential equations, sequences, series, power series, and Taylor’s Theorem. Credit: one unit. Prerequisite: AP Calculus AB.

Multivariable Calculus
Multivariable calculus is the third of three courses in a calculus sequence. The course focuses on (1) vectors, vector algebra, and vector functions; (2) functions of several variables, partial derivatives, gradients, directional derivatives, maxima and minima; (3) multiple integration; and (4) line and surface integrals, Green's Theorem, Divergence Theorems, Stokes' Theorem, and applications. The course relies on the use of handheld calculators and computer algebra systems. Credit: one unit. Prerequisite: AP Calculus BC.

Introduction to Statistics
This is a semester course of introductory Statistics designed to prepare students for taking Statistics in college. Students will study selected topics from statistics, including graphing and describing one- and two-variable data sets, calculating standardized normal probabilities, performing linear regression, and designing experiments. A main focus of the course is to explore applications of Statistics in other disciplines such as business, science, and psychology. Credit: one-half unit. Prerequisite: Algebra II.