## Courses Offered

## Mathematics Courses

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

**MATHEMATICS 1101-4609. SPECIAL STUDIES.**

Special courses not a part of the regular schedule, offered on an irregular schedule.*Prerequisite: None. One to six semester hours*

**MATHEMATICS 1303. ELEMENTARY ALGEBRA.**

A study of the basic computational functions, including factors, decimal notations, percentages, and elementary algebra. Required of students admitted provisionally who test into it on the Accuplacer placement exam. Does not satisfy the mathematics requirement for any degree. Fall, Spring.*Prerequisite: Placement test score. Three semester hours*

**MATHEMATICS 1321. INTERMEDIATE ALGEBRA.**

Intermediate algebra reviews many of the topics covered in high school algebra such as real numbers, linear equations, polynomials, rational expressions, exponents, radicals, graphing functions, quadratic equations, systems of equations and inequalities which prepare the student for college algebra. (developmental course – elective credit only; does not satisfy the mathematics requirement on any degree) Fall, Spring.*Prerequisite: Appropriate ACT/SAT or placement test score. Three semester hours*

**MATHEMATICS 1332. CONTEMPORARY MATHEMATICS.**

Contemporary Mathematics covers such topics as sets, logic, number theory, geometric concepts, consumer finance and introductory probability and statistics. MAT 1332 does not satisfy the general education math for education majors who must take MAT 1351 nor does MAT 1332 satisfy the general education math for any BS or BBA degree, but MAT 1332 does satisfy the Gen Ed math requirements for a BA degree from the Schools of Fine Arts, Christian Studies and Humanities, a BAAS degree and a BM degree. Fall, Spring.*Prerequisite: MAT 1321 or test scores equivalent to completion of MAT 1321, Intermediate Algebra. Three semester hours*

**MATHEMATICS 1351. COLLEGE ALGEBRA. (MATH 1314)**

A course designed to meet the general education mathematics requirement for any BA or BS degree offered at HPU. Topics studied include data analysis, modeling, complex numbers, special equations and inequalities, functions, polynomial and rational functions, exponential and logarithmic functions, matrices, and determinants. Fall, Spring, Summer.*Prerequisite: Two years of high school algebra and a satisfactory ACT score, an approved placement score, or MAT 1321. Three semester hours*

**MATHEMATICS 1365. FINITE MATHEMATICS I.**

A course designed to meet the general education mathematics requirement for BBA, BA, or BS degrees in Business or Social Science. Topics studied include linear programming, matrices, the simplex method, mathematics of finance, functions, probability and statistics, and contains applications for business, management and the social sciences. Fall, Spring.*Prerequisite: Two years of high school algebra and a satisfactory ACT score, an approved placement score, or MAT 1321. Three semester hours*

**MATHEMATICS 1371. MATHEMATICS FOR ELEMENTARY TEACHERS I. (MATH 1350)**

Problem solving, sets, number systems, 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. Fall.*Prerequisite: MAT 1351. Three semester hours*

**MATHEMATICS 2342. INTRODUCTION TO PROBABILITY AND STATISTICS.**

A beginning course studying frequency distributions, probability, binomial and normal distributions, random sampling, testing hypothesis, confidence intervals, and the Chi-Square distribution. Fall, Spring, Summer.*Prerequisite: MAT 1351. Three semester hours*

**MATHEMATICS 2345. PRECALCULUS MATHEMATICS.**

Topics discussed include trigonometric functions, solutions of right and oblique triangles, logarithms, identities, trigonometric equations, polar coordinates, graphical interpretation of the equations of plane curves, straight lines, conic sections, parametric equations, introduction to analytical geometry, sequences series, mathematical induction, and the binomial theorem will be discussed in this course. Fall, Spring, Summer.*Prerequisite: MAT 1351 or equivalent. Three semester hours*

**MATHEMATICS 2365. FINITE MATHEMATICS II.**

A second of two courses designed for business majors and minors. Topics include limits and continuity, derivatives, graphing and optimization, exponential and logarithmic functions, anti-derivatives, integration, applications to business and social science. (The content level of MAT 2365 is expected to be below the content level of Calculus I, MATH 2451). MAT 2365 satisfies the General Education second Mathematics Requirement for students seeking a BBA or BS degree in Business, CIS, or Social Science.*Prerequisite: MAT 1365 or equivalent. Three semester hours*

**MATHEMATICS 2451. CALCULUS I.**

Topics covered include limits, differentiation, applications of differentiation, basic integration, and the Fundamental Theorem of Calculus, and applications of integration. Utilizes an online homework, quiz, and practice program including a study plan to improve student learning. Fall, Spring.*Prerequisite: MAT 2345 or equivalent. Four semester hours*

**MATHEMATICS 2461. CALCULUS II.**

Topics covered include exponential, logarithmic and other transcendental functions, integration techniques, improper intervals, infinite sequences and series, power series, and parametric and polar equations. Utilizes an online homework, quiz, and practice program including a study plan to improve student learning. Spring.*Prerequisite: MAT 2451 or equivalent. Four semester hours*

**MATHEMATICS 3302. MATRIX AND LINEAR ALGEBRA.**

An introduction to matrices and vectors, applications of matrices including solutions of systems of linear equations. Also an introduction to vector spaces, algebraic structures, linear transformations and characteristic values. Spring.*Prerequisite: Credit or concurrent enrollment in MAT 2451. Three semester hours*

**MATHEMATICS 3311. ABSTRACT ALGEBRA.**

Introduction to number theory, groups, rings, integral domains, fields, isomorphisms, and the characterization of the integers and real numbers. Fall.*Prerequisite: MAT 2451 and 3302 or consent of instructor. Three semester hours*

**MATHEMATICS 3321. MATHEMATICS FOR ELEMENTARY TEACHERS II.**

Basic concepts of geometry including the metric system and measurement, logic, probability and statistics. This course requires two hours per week of mathematics laboratory. Required for elementary teacher certification. Spring.*Prerequisite: MAT 1371. Three semester hours*

**MATHEMATICS 3322. GEOMETRY.**

Development of Euclidean and non-Euclidean geometry by theoretical and intuitive methods. Recommended for all prospective secondary teachers. Fall.*Prerequisite: MAT 2451 and MAT 3302 or consent of instructor. Three semester hours*

**MATHEMATICS 3361. CALCULUS III.**

Topics covered include parametric equations, polar coordinates, vectors, surfaces in space, multivariable calculus, multiple integrations, and other topics as time permits. Fall.*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 Mathematics Standards. Techniques to implement the standards through the use of manipulatives, graphing calculators, computer technology, and projects will be explored. This course is open only to those who will be student teaching in secondary mathematics during the following spring or fall semester and is required for the secondary teaching field in mathematics. Two hours per week of mathematics laboratory are required for this course. Fall.*Prerequisite: Consent of instructor. Three 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, with emphasis on geometrical and physical interpretations. Other topics include LaPlace Transforms, Initial Value Problems, Eigen Values, Eigen Vectors, and Solutions of Systems of Differential Equations. Utilizes Maple software to teach students how to use technology to solve application problems from science, business, and engineering. Spring.*Prerequisite: MAT 2461 and MAT 3302. Four semester hours*

**MATHEMATICS 4000. TExES REVIEW FOR SECONDARY TEACHERS.**

This course must be taken and passed just prior to student teaching. It is designed to help students pass the secondary mathematics section of the Texas Examination of Educator Standards (TExES). Free of charge; pass/fail.*Prerequisite: Junior standing. No credit hours*

**MATHEMATICS 4100. MATH INTERNSHIP.**

A course designed to give math majors seeking teacher certification experience in the classroom before student teaching.*Prerequisite: Consent of department head. 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. Spring.*Prerequisite: Minimum of 24 hours in mathematics. Two semester hours*

**MATHEMATICS 4312. ADVANCED DIFFERENTIAL EQUATIONS.**

Advanced solution methods for differential equations; partial differential equations; series approximations, Fourier Series; boundary value problems typical of scientific applications. Fall, odd years.*Prerequisite: MAT 3451 and MAT 3361. Three semester hours*

**MATHEMATICS 4341. PROBABILITY AND STATISTICS.**

Descriptive statistics, derivation and application of formulas used in data analysis, discrete and continuous probability distributions, central limit theorem, and confidence intervals. Spring.*Prerequisite: MAT 2451. Three semester hours*

**MATHEMATICS 4351. REAL ANALYSIS.**

An aximoatic approach to the real numbers, sequences, functions, continuity, derivatives, integrals, series, and uniform convergence. Spring, even years.*Prerequisite: MAT 3361 or equivalent. Three semester hours*

**MATHEMATICS 4361. COMPLEX ANALYSIS.**

A study of complex numbers, analytic functions, exponential, trigonometric, and logarithmic functions of a complex variable, complex integration, Laurent Series, and residue theory. Fall, even years.*Prerequisite: Concurrent enrollment or credit in MAT 3361 or equivalent. Three semester hours*

**MATHEMATICS 4471. INTRODUCTION TO NUMERICAL ANALYSIS.**

Error propagation, algorithms for solutions of equations in one variable, interpolation, numerical integration, and algorithms for solutions of differential equations (as time permits). Three hours of lecture and two hours of laboratory per week. Spring, odd years.*Prerequisite: CIS 1359, MAT 3361 and credit or concurrent enrollment in MAT 3302. Four semester hours*

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