课程

All prerequisites must carry a grade of “C” or better.

数学1101 - 4609. 特殊的研究.
Special courses not a part of the regular schedule, offered on an irregular schedule.
先决条件:没有. 一到六个学时

数学1351. 大学代数. 
A course designed to meet the general education mathematics requirement for any BA or BS degree offered at HPU. 研究的主题包括数据分析, 建模, 复数, 特殊方程与不等式, 功能, 多项式和有理函数, 指数函数和对数函数, 矩阵, 和决定因素. 秋天，春天，夏天.
Prerequisite: Approved placement score or MAT 1431. 三个学时

数学1431. 代数基础.
A conceptual approach to the study of basic computations of whole numbers, fractions, and integers. Additional topics studied: algebraic expressions and equations; exponents; polynomial arithmetic; factoring polynomials; systems of equations. This course prepares students for College Algebra. (Developmental course – elective credit only; does not satisfy the mathematics requirement for any degree.秋天、春天.
前提条件:适当的分班考试成绩. 四个学时

数学1471. 小学教师数学1. 
解决问题, 集, 数字系统, 数学系统, 自然数, 研究了实数和复数. This course requires two hours per week of mathematical laboratory. 初级教师资格认证. 秋天.
先决条件:MAT 1351.  四个学时

数学2342. 概率论和统计学.
A beginning course studying frequency distributions, 概率, 二项分布和正态分布, 随机抽样, 测试假说, 置信区间, 如果时间允许，还可以讨论其他话题. 秋天，春天，夏天.
先决条件:MAT 1351. 三个学时

数学2343. 统计数据.
主题包括频率分布, 图, 测量位置和变化, 二项分布和正态分布, 置信区间, z检验, 一样本和二样本t检验, 野生, 卡方概率, 相关, 协方差, 回归, 方差分析. 本课程要求学生缴交专题. 春天.
先决条件:MAT 1351. 三个学时

数学2345. 有关微积分的数学.
讨论的主题包括三角函数, 直角三角形和斜三角形的解, 对数, 身份, 三角方程, 极坐标, graphical interpretation of the equations of plane curves, 直线, 圆锥部分, 参数方程, 解析几何概论, 序列系列, 数学归纳法, and the binomial theorem will be discussed in this course. 秋天，春天，夏天.
先决条件:MAT 1351或同等学历. 三个学时

数学2347. 离散数学.
This course provides an introduction to topics in 逻辑, 集理论, 算法, 递归, 关系, 图, 和树木. It also exposes students to mathematical proofs and abstract thinking. The course is designed for mathematics or computer information system majors. 秋天.
先决条件:MAT 1351. 三个学时

数学2445. 加速有关微积分的知识.
Topics covered include 功能 an their 图, 多项式和有理函数, 指数函数和对数函数, 三角函数, 矩阵和行列式, 序列与级数, 以及分析几何的主题. 秋天.
Prerequisite: Accuplacer Math Score of 252 or consent of instructor. 四个学时

Note: If the student’s high school Pre-AP Pre-Calculus or AJP Calculus grade is B or higher the student should be in Calculus MAT 2451

数学2451. 微积分我.
涵盖的主题包括限制, 分化, 微分的应用, 基本的集成, 以及微积分基本定理, 以及积分的应用. 利用在线作业, 测试, and practice program including a study plan to improve student learning. 秋天,春天.
先决条件:MAT 2345或2445或同等学历. 四个学时

数学2461. 微积分二世.
涵盖的主题包括指数, 对数函数和其他超越函数, 集成技术, 不适当的间隔, 无穷序列和无穷级数, 幂级数, 参数方程和极坐标方程. 利用在线作业, 测试, and practice program including a study plan to improve student learning. 春天.
先决条件:MAT 2451或同等学历. 四个学时

数学3302. 矩阵与线性代数.
矩阵和向量的介绍, applications of 矩阵 including solutions of systems of linear equations. 也是矢量空间的介绍, 代数结构, 线性变换和特征值. 秋天.
Prerequisite: Credit or concurrent enrollment in MAT 2451. 三个学时

数学3311. 抽象代数.
数论概论, 组, 环, 积分域, 字段, 同构, and the characterization of the integers and real numbers. 春天，甚至是岁月.
Prerequisite: MAT 2347 and 3302 or credit or concurrent enrollment in MAT 2451. 三个学时

数学3322. 几何.
Development of Euclidean and non-Euclidean geometry by theoretical and intuitive methods. Recommended for all prospective secondary teachers. 春天，奇数年.
Prerequisite: MAT 2347 or MAT 3302 and credit or concurrent enrollment in MAT 2451 or consent of instructor. 三个学时

数学3361. 微积分三世.
涵盖的主题包括参数方程, 极坐标, 向量, 空间表面, 多变量微积分, 多个集成, 如果时间允许，还可以讨论其他话题. 秋天.
先决条件:MAT 2461. 三个学时

数学3381. 中学教师数学.
An examination of the major topics of secondary mathematics curriculum in light of the National Council of Teachers of 数学 Standards. Techniques to implement the standards through the use of manipulatives, 图形计算器, 计算机技术, 项目将被探索. This course is required for the secondary and middle school teaching field in mathematics. 秋天，奇数年.
Prerequisite: MAT 2345 or higher, or consent of instructor. 三个学时

数学3421. 小学教师数学2.
Basic concepts of geometry including the metric system and measurement, 逻辑, 概率与统计. This course requires two hours per week of mathematics laboratory. 初级教师资格认证. 春天.
先决条件:MAT 1471. 四个学时

数学3451. 微分方程.
Differential Equations is a course covering solutions to the more common types of ordinary differential equations, 尤其是一阶和二阶的, 与 emphasis on geometrical and physical interpretation. 其他主题包括拉普拉斯变换, 初值问题, 特征值, 特征向量, and Solutions of Systems of Differential Equations. 春天.
前提条件:MAT 3361和MAT 3302. 四个学时

数学4181. 特克斯审查.
This course is required of those who will be clinical teaching. This course is designed to help students pass the Texas Examination of Educator Standards (TExES) for education students in their respective major. 秋天.
Prerequisite: MAT 3381 or concurrent enrollment, or consent of instructor. 一学期学时

数学4200. 基础检讨及评估.
Topics included are overviews of the three foundational topics (Calculus; Algebra and Geometry; Differential Equations and Analysis) for graduates in mathematics. Required assessments include unit exams for each of the foundational units, an essay articulating the importance of a chosen foundational course, and a standardized assessment of all foundational topics. 春天.
Prerequisite: Minimum of 24 hours in mathematics. 两个学时

数学4351. 实分析.
实数的一种公理化方法, 序列, 功能, 连续性, 衍生品, 积分, 系列, 一致收敛. 春天，甚至是岁月.
先决条件:MAT 3361或同等学历. 三个学时

数学4361. 复杂的分析.
复数学对复数的研究, 分析功能, 指数, 三角, 复数变量的对数函数, 复杂的集成, 劳伦级数, 剩余理论. 秋天，甚至是岁月.
Prerequisite: Concurrent enrollment or credit in MAT 3361 or equivalent. 三个学时

数学4441. APPLIED PROBABILITY AND 统计数据 FOR ENGINEERING AND MATHEMATICS.
描述性统计, discrete and continuous 概率 distributions, 中心极限定理, 推论统计, 回归, 以及相关分析, 与. 强调工程应用. 春天.
先决条件:MAT 2451. 三个学时

数学4371. 数值分析概论.
误差传播, 算法 for solutions of equations in one variable, 插值, 数值积分, and 算法 for solutions of differential equations (as time permits). Two hours of lecture and two hours of laboratory per week. 春天，奇数年.
Prerequisite: CIS 1359, MAT 3361 and credit or concurrent enrollment in MAT 3302. 三个学时