Mathematics
מָתֶמָטִיקָה
Department of Mathematics
数学课程提供了一系列的课程，旨在满足不同能力和学习风格的学生的毕业要求和大学录取期望. 在整个课程中，下列技能得到发展和完善:口头和书面沟通技巧, problem solving skills and reasoning skills. Emphasis is placed on an analytical, graphical, 以图形计算器为主要工具的数值方法.
每个学生都应该拥有一个TI-83 Plus或TI-84图形计算器，用于数学课程. 这个图形计算器将在整个四年的高中数学序列计算器使用.
课程设置范围广泛，以确保每个学生都有适当的挑战和动力去做他/她最好的. For freshman year, 接受荣誉课程或速成课程是基于初中的推荐和高中入学考试的表现. 大一之后的课程录取是基于老师的推荐和之前的高中数学成绩.
学生必须完成三年的数学课程才能毕业. 大学鼓励对数学/科学感兴趣的学生在大四选修一门数学课程.
Courses Offered
代数1修改是一个高度结构化的代数入门. Topics studied include: operations with variables, solving equations, positive and negative numbers, formulas, operations with polynomials, factoring, graphing, equations with two variables, working with algebraic fractions, decimals and percents, squares and square roots, and quadratic equations.
Homework Requirement: 1-2 hours per week
Algebra 1 is the first year or a college preparatory sequence. Topics studied include operations with variables, the number line, solving linear equations, writing and graphing linear equations, solving systems of equations, operations with polynomials, factoring, operations with algebraic fractions, functions, roots, radicals, and quadratic equations. 特别强调了实际生活中的应用和与几何的联系.
Homework Requirement: 2-3 hours per week
代数1荣誉课程是大学预科课程的第一年, which includes advanced Placement Calculus. Topics studied include basic operations with real numbers, solving linear equations and inequalities, graphs and functions, polynomials and factoring, operations and equations with rational expressions, irrational numbers and radicals, quadratic equations and functions, absolute value, and composite functions. Some topics are taken from advanced algebra.
Homework Requirement: 3-4 hours per week
Geometry 2 is the second year of a college preparatory sequence. It is algebra-based, emphasizing deductive reasoning. Topics covered include congruent triangles, perpendicularity, parallel lines, quadrilaterals, polygons, similar polygons, the Pythagorean Theorem, circles, area, and volumes.
Homework Requirement: 2-3 hours per week
几何2修改是一个高度结构化的介绍几何. 强调代数概念的回顾，特别强调代数方程的解及其在几何中的应用. Topics studied include triangles, perpendicularity, parallel lines, quadrilaterals, similar polygons, the Pythagorean Theorem, circles, area, and volumes.
Homework Requirement: 3-4 hours per week
几何2荣誉是一个快节奏，深入的课程，是证明为导向. Topics covered include congruent triangles, perpendicularity, parallel lines, quadrilaterals, lines and planes in space, polygons, similar polygons, the Pythagorean Theorem, circles, area, and volumes.
Homework Requirement: 3-5 hours per week
代数II/三角学3修改是高度结构化的代数和三角学入门. This course includes a review of real numbers, first degree equations and inequalities in one variable, special products, factoring, equations, fractions and fractional equations, graphs of linear equations, functions and relations, systems of linear equations and inequalities, matrices, exponents and radicals, quadratic equations, and the trigonometry of right triangles.
Homework Requirement: 3-5 hours per week
代数/三角学3是大学预备课程的第三年. Topics studied include the real numbers, first degree equations and inequalities in one variable, special products, factoring, algebraic fractions and fractional equations, graphs of linear equations, functions and relations, systems of linear equations and inequalities, matrices, exponents and radicals, quadratic equations, sequences and series, permutations and combinations, and circular and trigonometric functions.
Homework Requirement: 3-4 hours per week
微积分预科3荣誉研究线性和二次函数和不等式的主题, the conic sections, polynomials and rational functions, radical functions, composite and inverse functions, exponential and logarithmic functions, trigonometric functions, sequences and series, binomial expansion, and determinants.
Homework Requirement: 3-5 hours per week
预微积分4完成了四年大学预科的核心课程, 这为大学微积分的学习打下了坚实的基础. 学习的主题包括三角函数及其图形的回顾, applications of trigonometry, topics from analytic geometry, the conic sections, systems of equations and inequalities, polynomial and rational functions and limits, and an overview of vectors and polar coordinates.
Homework Requirement: 3-4 hours per week
大学先修课程微积分AB为学生参加AP微积分AB考试做准备. 遵循大学理事会建议的课程设计，与大学水平的微积分课程平行, AP微积分AB课程为学生提供了对微积分概念的直观理解，并体验了微积分的方法和应用, 还需要额外的微积分理论知识. Topics studied include analytic geometry, limits, the derivative, integration, 超越函数及其导数和积分的应用.
Homework Requirement: 3-5 hours per week
大学先修课程微积分BC为学生参加AP微积分BC考试做准备. 遵循大学理事会建议的课程设计，与大学水平的微积分课程平行, AP微积分BC为学生提供了对微积分概念的直观理解，并体验了微积分的方法和应用, 还需要额外的微积分理论知识. 本课程假定学生对基本函数有全面的了解, 并涵盖了AP微积分AB中的所有微积分主题，以及以下主题:向量函数, parametric equations, and polar coordinates; rigorous definitions of finite and nonexistent limits; derivatives of vector functions and parametrically defined functions; advanced techniques of integration and advanced applications of the definite integral; and sequences and series.
Homework Requirement: 4-6 hours per week
This course includes a study of vectors, matrices, 和线性变换，通常是为已经完成AP微积分的学生准备的. 它广泛地探讨了人们可以用这些物体做什么，无论是在纯粹的意义上还是在应用意义上. 在整个过程中，它建立在几何和代数的先验知识(以及微积分的一点点)之上。. 本课程培养数学思维习惯(如从计算中抽象), trying to make arguments general, and proof).
Homework Requirement: 4-6 hours per week
遵循大学理事会建议的课程设计，与大学水平的统计学课程并行, AP统计学向学生介绍了收集的主要概念和工具, analyzing, and drawing conclusions from data. 学生将接触到四个广泛的概念主题:探索数据, sampling and experimentation, anticipating patterns, and statistical inference.
Homework Requirement: 3-4 hours per week
遵循大学理事会建议的课程设计，以反映大学水平的计算机科学课程, AP计算机科学A课程为学生提供逻辑, mathematical, and problem-solving skills needed to design structured, 为现实问题提供解决方案的文档完备的计算机程序. These courses cover such topics as programming methodology, features, and procedures; algorithms; data structures; computer systems; and programmer responsibilities.
Homework Requirement: 4-6 hours per week.