课程

数学 Courses

所有的先决条件必须达到“C”或更高.

MATHEMATICS 1101-4609. SPECIAL STUDIES.
不定期课程:不定期提供的不属于常规课程的特殊课程.
Prerequisite: None. One to six semester hours

MATHEMATICS 1351. COLLEGE ALGEBRA. 
该课程旨在满足HPU提供的任何学士或学士学位的通识教育数学要求. Topics studied include data analysis, 建模, 复数, special equations and inequalities, 功能, polynomial and rational 功能, 指数 and logarithmic 功能, 矩阵, and determinants. 秋天,春天, Summer.
先决条件:批准的安置分数或MAT 1431. Three semester hours

MATHEMATICS 1431. FOUNDATIONS OF ALGEBRA.
一种研究整数、分数和整数基本计算的概念方法. Additional topics studied: algebraic expressions and equations; exponents; polynomial arithmetic; factoring polynomials; systems of equations. 本课程为学生准备大学代数. (Developmental course – elective credit only; does not satisfy the mathematics requirement for any degree.秋天、春天.
Prerequisite: Appropriate placement test score. Four semester hours

MATHEMATICS 1471. MATHEMATICS FOR ELEMENTARY TEACHERS I. 
Problem solving, 集, 数字系统, mathematical systems, natural numbers, real and 复数 are studied. 这门课程每周需要两小时的数学实验. Required for elementary teacher certification. 秋天.
Prerequisite: MAT 1351.  Four semester hours

MATHEMATICS 2342. INTRODUCTION TO PROBABILITY AND 统计数据.
一门研究频率分布的入门课程, 概率, binomial and normal distributions, random sampling, testing hypothesis, confidence intervals, and other topics as time permits. 秋天,春天, Summer.
Prerequisite: MAT 1351. Three semester hours

MATHEMATICS 2343. 统计数据.
Topics include frequency distributions, 图, measures of location and variation, the binomial and normal distributions, confidence intervals, z检验, one and two sample t-test, 野生, Chi-Square 概率, 相关, 协方差, 回归, 方差分析. A student project is required for this course. 春天.
Prerequisite: MAT 1351. Three semester hours

MATHEMATICS 2345. PRE-CALCULUS MATHEMATICS.
讨论的主题包括三角函数, solutions of right and oblique triangles, 对数, 身份, 三角 equations, polar coordinates, 平面曲线方程的图解解释, 直线, 圆锥部分, parametric equations, introduction to analytical geometry, 序列 系列, mathematical induction, 二项式定理将在本课程中讨论. 秋天,春天, Summer.
Prerequisite: MAT 1351 or equivalent. Three semester hours

MATHEMATICS 2347. DISCRETE MATHEMATICS.
本课程提供逻辑主题的入门, 集理论, 算法, 递归, 关系, 图, 和树木. 它还让学生接触数学证明和抽象思维. 本课程专为数学或计算机信息系统专业学生开设. 秋天.
Prerequisite: MAT 1351. Three semester hours

MATHEMATICS 2445. ACCELERATED PRE-CALCULUS.
Topics covered include 功能 an their 图, polynomial and rational 功能, 指数 and logarithmic 功能, 三角函数, 矩阵 and determinants, 序列 and 系列, and topics in analytics geometry. 秋天.
前提条件:Accuplacer数学成绩252或教师的同意. Four semester hours

注意:如果学生的高中Pre-AP Pre-Calculus或AJP Calculus成绩为B或更高,则学生应该参加微积分MAT 2451

MATHEMATICS 2451. 微积分我.
Topics covered include limits, 分化, applications of 分化, basic integration, and the Fundamental Theorem of Calculus, and applications of integration. Utilizes an online homework, 测试, 和实践计划,包括一个学习计划,以提高学生的学习. 秋天,春天.
Prerequisite: MAT 2345 or 2445 or equivalent. Four semester hours

MATHEMATICS 2461. 微积分二世.
Topics covered include 指数, logarithmic and other transcendental 功能, integration techniques, improper intervals, infinite 序列 and 系列, 幂级数, and parametric and polar equations. Utilizes an online homework, 测试, 和实践计划,包括一个学习计划,以提高学生的学习. 春天.
Prerequisite: MAT 2451 or equivalent. Four semester hours

MATHEMATICS 3302. MATRIX AND LINEAR ALGEBRA.
An introduction to 矩阵 and 向量, 矩阵的应用,包括线性方程组的解. Also an introduction to vector spaces, algebraic structures, linear transformations and characteristic values. 秋天.
前提条件:学分或同时入学MAT 2451. Three semester hours

MATHEMATICS 3311. ABSTRACT ALGEBRA.
Introduction to number theory, 组, 环, integral domains, 字段, 同构, 以及整数和实数的表征. 春天, even years.
先决条件:MAT 2347和3302或学分或同时入学MAT 2451. Three semester hours

MATHEMATICS 3322. 几何.
用理论和直观的方法发展欧几里得和非欧几里得几何. 推荐给所有未来的中学教师. 春天, odd years.
先决条件:MAT 2347或MAT 3302和学分或同时入学MAT 2451或教师的同意. Three semester hours

MATHEMATICS 3361. 微积分三世.
Topics covered include parametric equations, polar coordinates, 向量, surfaces in space, multivariable calculus, multiple integrations, and other topics as time permits. 秋天.
Prerequisite: MAT 2461. Three semester hours

MATHEMATICS 3381. MATHEMATICS FOR SECONDARY TEACHERS.
根据全国数学教师标准委员会的规定,对中学数学课程的主要主题进行了考察. 通过使用操作来实现标准的技术, graphing calculators, computer technology, and projects will be explored. 本课程是中小学数学教学领域的必修课程. 秋天,奇数年.
先决条件:MAT 2345或更高,或教练的同意. Three semester hours

MATHEMATICS 3421. MATHEMATICS FOR ELEMENTARY TEACHERS II.
几何的基本概念,包括公制和测量, 逻辑, 概率 and statistics. 这门课程每周需要两小时的数学实验. Required for elementary teacher certification. 春天.
Prerequisite: MAT 1471. Four semester hours

MATHEMATICS 3451. DIFFERENTIAL EQUATIONS.
微分方程是一门涵盖更常见类型的常微分方程的解的课程, especially those of first and second order, 强调几何和物理的解释. Other topics include LaPlace Transforms, Initial Value Problems, 特征值, 特征向量, 微分方程组的解. 春天.
Prerequisite: MAT 3361 and MAT 3302. Four semester hours

MATHEMATICS 4181. 特克斯审查.
本课程是临床教学人员的必修课程. 本课程旨在帮助学生通过德克萨斯州教育工作者标准考试(TExES),该考试适用于各自专业的教育学生. 秋天.
先决条件:MAT 3381或同时入学,或教师的同意. One semester hour

MATHEMATICS 4200. FOUNDATIONS REVIEW AND ASSESSMENT.
Topics included are overviews of the three foundational topics (Calculus; Algebra and Geometry; Differential Equations and Analysis) for graduates in mathematics. 要求的评估包括每个基础单元的单元考试, 一篇阐明所选基础课程重要性的文章, 以及所有基础科目的标准化评估. 春天.
前提条件:至少24小时的数学. Two semester hours

MATHEMATICS 4351. 实分析.
An axiomatic approach to the real numbers, 序列, 功能, 连续性, 衍生品, 积分, 系列, and uniform convergence. 春天, even years.
Prerequisite: MAT 3361 or equivalent. Three semester hours

MATHEMATICS 4361. COMPLEX ANALYSIS.
A study of 复数, analytic 功能, 指数, 三角, and logarithmic 功能 of a complex variable, complex integration, 劳伦级数, and residue theory. 秋天, even years.
先决条件:同时入学或学分MAT 3361或同等学历. Three semester hours

MATHEMATICS 4441. 应用概率和统计工程和数学.
Descriptive statistics, 离散和连续概率分布, Central Limit Theorem, inferential statistics, 回归, and 相关 analysis, 与. emphasis on engineering applications. 春天.
Prerequisite: MAT 2451. Three semester hours

MATHEMATICS 4371. INTRODUCTION TO NUMERICAL ANALYSIS.
Error propagation, 单变量方程解的算法, 插值, numerical integration, 以及微分方程解的算法(时间允许的话). 每周有两个小时的讲座和两个小时的实验. 春天, odd years.
先决条件:CIS 1359, MAT 3361和学分或同时入学MAT 3302. Three semester hours

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