Courses Offered

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

MATHEMATICS 1101-4609. 特殊的研究.
Special courses not a part of the regular schedule, offered on an irregular schedule.
Prerequisite: None. One to six semester hours

MATHEMATICS 1351. 大学代数. 
A course designed to meet the general education mathematics requirement for any BA or BS degree offered at HPU. Topics studied include data analysis, 建模, complex numbers, 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.
Prerequisite: Approved placement score or MAT 1431. Three semester hours

MATHEMATICS 1431. FOUNDATIONS OF ALGEBRA.
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.
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 complex numbers are studied. This course requires two hours per week of mathematical laboratory. Required for elementary teacher certification. 秋天.
Prerequisite: MAT 1351.  Four semester hours

MATHEMATICS 2342. INTRODUCTION TO PROBABILITY AND 统计数据.
A beginning course studying frequency distributions, 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.
Topics discussed include 三角 功能, solutions of right and oblique triangles, 对数, 身份, 三角 equations, polar coordinates, graphical interpretation of the equations of plane curves, 直线, 圆锥部分, parametric equations, introduction to analytical geometry, 序列 系列, mathematical induction, and the binomial theorem will be discussed in this course. 秋天,春天, Summer.
Prerequisite: MAT 1351 or equivalent. Three semester hours

MATHEMATICS 2347. DISCRETE MATHEMATICS.
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.
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.
Prerequisite: Accuplacer Math Score of 252 or consent of instructor. Four semester hours

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

MATHEMATICS 2451. 微积分我.
Topics covered include limits, differentiation, applications of differentiation, basic integration, and the Fundamental Theorem of Calculus, and applications of integration. Utilizes an online homework, 测试, and practice program including a study plan to improve student learning. 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, and practice program including a study plan to improve student learning. 春天.
Prerequisite: MAT 2451 or equivalent. Four semester hours

MATHEMATICS 3302. MATRIX AND LINEAR ALGEBRA.
An introduction to 矩阵 and 向量, applications of 矩阵 including solutions of systems of linear equations. Also an introduction to vector spaces, algebraic structures, linear transformations and characteristic values. 秋天.
Prerequisite: Credit or concurrent enrollment in MAT 2451. Three semester hours

MATHEMATICS 3311. ABSTRACT ALGEBRA.
Introduction to number theory, 组, 环, integral domains, 字段, 同构, and the characterization of the integers and real numbers. 春天, even years.
Prerequisite: MAT 2347 and 3302 or credit or concurrent enrollment in MAT 2451. Three semester hours

MATHEMATICS 3322. 几何.
Development of Euclidean and non-Euclidean geometry by theoretical and intuitive methods. Recommended for all prospective secondary teachers. 春天, odd years.
Prerequisite: MAT 2347 or MAT 3302 and credit or concurrent enrollment in MAT 2451 or consent of instructor. 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.
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, graphing calculators, computer technology, and projects will be explored. This course is required for the secondary and middle school teaching field in mathematics. 秋天, odd years.
Prerequisite: MAT 2345 or higher, or consent of instructor. Three semester hours

MATHEMATICS 3421. MATHEMATICS FOR ELEMENTARY TEACHERS II.
Basic concepts of geometry including the metric system and measurement, 逻辑, 概率 and statistics. This course requires two hours per week of mathematics laboratory. Required for elementary teacher certification. 春天.
Prerequisite: MAT 1471. Four semester hours

MATHEMATICS 3451. DIFFERENTIAL EQUATIONS.
Differential Equations is a course covering solutions to the more common types of ordinary differential equations, especially those of first and second order, 与 emphasis on geometrical and physical interpretation. Other topics include LaPlace Transforms, Initial Value Problems, 特征值, 特征向量, and Solutions of Systems of Differential Equations. 春天.
Prerequisite: MAT 3361 and MAT 3302. Four semester hours

MATHEMATICS 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. 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. 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. 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 complex numbers, 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.
Prerequisite: Concurrent enrollment or credit in MAT 3361 or equivalent. Three semester hours

MATHEMATICS 4441. APPLIED PROBABILITY AND 统计数据 FOR ENGINEERING AND MATHEMATICS.
Descriptive statistics, discrete and continuous 概率 distributions, 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, 算法 for solutions of equations in one variable, 插值, numerical integration, and 算法 for solutions of differential equations (as time permits). Two hours of lecture and two hours of laboratory per week. 春天, odd years.
Prerequisite: CIS 1359, MAT 3361 and credit or concurrent enrollment in MAT 3302. Three semester hours