## 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 1351. COLLEGE ALGEBRA. **

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: 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.) Fall, Spring.*Prerequisite: Appropriate placement test score. Four semester hours*

**MATHEMATICS 1471. MATHEMATICS FOR ELEMENTARY TEACHERS I. **

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. Four 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 other topics as time permits. Fall, Spring, Summer.*Prerequisite: MAT 1351. Three semester hours*

**MATHEMATICS 2343. STATISTICS.**

Topics include frequency distributions, graphs, measures of location and variation, the binomial and normal distributions, confidence intervals, z-test, one and two sample t-test, F-test, Chi-Square probability, correlation, covariance, regression, ANOVA. A student project is required for this course. Spring.*Prerequisite: MAT 1351. Three semester hours*

**MATHEMATICS 2345. PRE-CALCULUS 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 2347. DISCRETE MATHEMATICS.**

This course provides an introduction to topics in logic, set theory, algorithms, recursion, relations, graphs, and trees. It also exposes students to mathematical proofs and abstract thinking. The course is designed for mathematics or computer information system majors. Fall.*Prerequisite: MAT 1351. Three semester hours*

**MATHEMATICS 2445. ACCELERATED PRE-CALCULUS.**

Topics covered include functions an their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometry, matrices and determinants, sequences and series, and topics in analytics geometry. Fall.*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. 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 2445 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. Fall.*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. Spring, even years.*Prerequisite: MAT 2347 and 3302 or credit or concurrent enrollment in MAT 2451. Three semester hours*

**MATHEMATICS 3322. GEOMETRY.**

Development of Euclidean and non-Euclidean geometry by theoretical and intuitive methods. Recommended for all prospective secondary teachers. Spring, 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. 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 required for the secondary and middle school teaching field in mathematics. Fall, 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, logic, probability and statistics. This course requires two hours per week of mathematics laboratory. Required for elementary teacher certification. Spring.*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, with emphasis on geometrical and physical interpretation. Other topics include LaPlace Transforms, Initial Value Problems, Eigen Values, Eigen Vectors, and Solutions of Systems of Differential Equations. Spring.*Prerequisite: MAT 3361 and MAT 3302. Four semester hours*

**MATHEMATICS 4181. TExES REVIEW.**

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. Fall.*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. Spring.*Prerequisite: Minimum of 24 hours in mathematics. Two semester hours*

**MATHEMATICS 4351. REAL ANALYSIS.**

An axiomatic 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 4441. APPLIED PROBABILITY AND STATISTICS FOR ENGINEERING AND MATHEMATICS.**

Descriptive statistics, discrete and continuous probability distributions, Central Limit Theorem, inferential statistics, regression, and correlation analysis, with. emphasis on engineering applications. Spring.*Prerequisite: MAT 2451. Three semester hours*

**MATHEMATICS 4371. 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). Two 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. Three semester hours*

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