# Welcome to the Mathematics Department

**ALGEBRA I** (310) /full year

This course familiarizes the student with the basic language and concepts of algebra. He studies the properties of the set of real numbers and learns to use the operations defined on the set to solve equations and inequalities. The concepts, properties and graphs of relations and functions are introduced. The subject matter includes linear equations and inequalities, systems of equations, polynomial functions, rational expressions, irrational numbers and quadratic equations. Required of all freshmen who have not already completed a similar course or who have not placed out of Algebra I by way of the Algebra Placement Test.

**HONORS ALGEBRA I** (311) /full year

This course parallels the regular Algebra I course but is more demanding. Its purpose is to prepare students for 321 or 322. Open to freshmen who have not placed out of Algebra I after sitting for the Algebra Placement Test.

**GEOMETRY** (320) /full year

This is a straightâ€‘forward and systematic approach to the standard content of a comprehensive course in high school geometry. The properties of the real numbers are used throughout, which makes algebra an integral part of the course. Required of all students following the regular math sequence.

**HONORS GEOMETRY** (321) /full year

This course parallels Geometry (320) but is more demanding. Open to freshmen who have placed out of Algebra I by way of the Algebra Placement Test and to sophomores who have performed well in Algebra I or in Honors Algebra I as freshmen.

**ADVANCED GEOMETRY AND PRECALCULUS** (322) /full year

In the first semester, the entire content of Honors Geometry (321) is covered. In second semester, students begin a course in college algebra and trigonometry that includes the study of systems of equations, absolute values, inequalities, linear functions, polynomial functions, exponential and logarithmic functions, conic sections, circular and trigonometric functions, inverse functions. Open to qualified students approved to follow the advanced math sequence.

**ALGEBRA II AND TRIGONOMETRY** (330) /full year

This course involves the further use of algebra and begins the study of trigonometry. Many of the topics introduced in Algebra I are presented again, but much more extensively and intensively. The student is helped to understand the structure of the system of complex numbers (including the real numbers), recognize the techniques of algebra and trigonometry as reflections of this structure, and acquire facility in using them. The function concept is of major importance throughout the course. Required of all students following the regular math sequence.

**HONORS ALGEBRA II AND TRIGONOMETRY** (331) /full year

This course parallels the Algebra II and Trigonometry (330) course but is more demanding. Concepts essential to the study of calculus will receive special emphasis. Of special interest are trigonometric, logarithmic, exponential and inverse functions. Open to qualified students in the honors program.

**ADVANCED PRECALCULUS AND INTRODUCTION TO CALCULUS** (332) /full year

In the first term students continue the study of precalculus mathematics, including trigonometry, complex numbers, sequences, series, limits, matrices, combinatorics, and probability. In the second term the study of calculus begins. The differential calculus of polynomial, rational, logarithmic and trigonometric functions is presented, including the concepts of limit, derivative, continuity, theorems involving these concepts, and applications involving the theory. Integral calculus is introduced, including the theory of indefinite and definite integrals with area problems as an application of both. Open to students following the advanced math sequence.

**FUNCTIONS AND TOPICS IN DISCRETE MATHEMATICS** (340)/full year

The focus of this course is exploration and investigation revolving around the themes of mathematical modeling and simultaneous graphic, symbolic and numeric representation. Polynomial, exponential, logarithmic and trigonometric functions are studied along with discrete topics including recursion, probability and statistics. Completion of 330 is the only prerequisite.

# PRECALCULUS with ANALYSIS (349)/full year

This course provides a complete mathematical background for the study of calculus. Particular attention is given to linear functions, quadratic functions, rational functions, systems of equations, polynomial functions, conic sections, trigonometry, graphs of functions, sequences, series, complex numbers and techniques of equation solving. Completion of 330 or 331 is the only prerequisite.

**HONORS PRECALCULUS with ANALYSIS** (341) /full year

This course parallels Precalculus with Analysis (349) but is more demanding. Open to qualified students in the honors program.** **

**AP STATISTICS** (345) /full year

The purpose of the course is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. The four main themes are: exploring data, planning a study, anticipating patterns, and statistical inference. Students will be expected to take the CEEB Advanced Placement Exam in May. Open to students who have successfully completed 341, 343, 344, 349, or who have successfully completed 330 or 331 and have departmental approval.

**AP CALCULUS AB** (343)/full year

Students taking this course will study differential and integral calculus with some analytic geometry. The differential calculus of polynomial, rational, logarithmic and trigonometric functions is presented, including the concepts of limit, derivative, continuity, theorems involving these concepts, and applications involving the theory. Integral calculus is presented, including the theory of indefinite and definite integrals with area problems as an application of both. The student is expected to acquire a basic understanding of the concepts of calculus and to have considerable experience with its methods and applications. Open to qualified students.

**AP CALCULUS BC** (344) /full year

This course continues the study of calculus begun in either AP Calculus AB (343) or Advanced Precalculus and Introduction to Calculus (332). Included are further applications of the theory of indefinite and definite integrals, analytic geometry utilizing calculus, vectors, parametric equations, additional transcendental functions, techniques of integration, improper integrals and infinite series. The course is intended to help the student understand the concepts of calculus as well as provide experience with its methods and widespread application to problem solving. Open to students following the advanced math sequence.