# Mathematics Courses

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## Mathematics Courses

#### The following courses are offered within the Mathematics Department. If you're curious about the relationship between them, here's a handy interdependence chart to help explain: *Math Course Interdependence.*

**MATH 102: Intermediate Algebra **(3 credit hours – Fall)

This course covers linear equations and inequalities, polynomials, rational expressions, exponents, radicals, quadratic equations and inequalities and their applications. This course does not satisfy the liberal studies requirements.

**MATH 105: Survey of College Mathematics** (3 credit hours – Fall and Spring)

Number systems, set theory, introduction to elementary logic, modeling and problem solving, measurements and geometry, probability and statistics, game theory, and communication technology using graphing calculator and computer. Not for Major Credit. Prerequisite: MATH 102 or Math ACT of 19 or above.

**MATH 120: College Algebra** (3 credit hours – Fall and Spring)

This course covers the following topics: coordinate systems, functions and their graphs, solutions of equations and inequalities, and linear, quadratic, polynomial, exponential and logarithmic functions. Prerequisite: MATH 102 or Math ACT score of 19 or above.

**MATH 121: Precalculus **(3 credit hours – Spring)

Introduction and review of exponential, logarithmic, Trigonometric functions and their graphs. Trigonometric identities, inverse trigonometric functions, trigonometric equations, application of trigonometric functions, Complex number system, and problem solving using graphing calculator and computer. Knowledge of MATH 120

**MATH 131: Introduction to Trigonometry **(1 credit hour - Fall)

This course serves as a short introduction to Trigonometry: the definition of trig functions, the unit circle, trig identities, and applications. Prerequisite: MATH120.

**MATH 145: Calculus I** (4 credit hours – Fall)

Students concentrate on derivatives of algebraic and transcendental functions, applications of differential calculus, functions and graphs, and elementary integration theory. The concept of this course has applications in physics, chemistry, biology, and business. Knowledge of MATH120 and MATH 121, or Math ACT score of 24 or above.

**MATH 210 / BSHS 301: Elementary Statistics** (3 credit hours – Fall and Spring)

The course is a study of requisite mathematical foundations of statistics followed by extensive coverage of statistical techniques used in research and data analysis. The mathematical foundations include scales of measurement, probability, the binomial and normal distributions and sampling theory. The statistical techniques include descriptive and inferential statistics. Descriptive statistics covered include at least through correlation. Inferential statistics covered include at least through simple ANOVA designs. Assumptions, logic and interpretation of statistics are emphasized over calculation. Prerequisite: MATH 101/120 or ACT score of 24 or above.

**MATH 222: Modern Geometry** (4 credit hours – Even year Spring)

Includes a review of Euclidean Geometry, an examination of the historical and logical processes that give rise to non-Euclidean geometries, and an exploration of these other geometries. Strong focus on axiomatic systems and methods. Discovery approaches using software will be emphasized. Prerequisites: MATH 145 or consent of instructor.

**MATH 225: Linear Algebra** (3 credit hours – Odd year Fall)

Vectors, matrices, determinants, linear transforms, vector spaces, systems of linear equations, groups and fields. This is a basic course with a variety of applications in linear modeling, graph theory, linear programming, and economic modeling. Prerequisite: MATH 101/120 or by consent of instructor.

**MATH 243: Discrete Mathematics** (3 credit hours – Even year Fall)

Set theory, logic, relations and functions, algorithm, graphs and graph theory, proof techniques, combinatorics, introduction to probability, counting rules, and logic circuits. Prerequisite: MATH 105/120 or by departmental consent.

**MATH 245: Calculus II** (4 credit hours – Spring)

Students study numerical and analytical methods of integration, area and volume, differentiation and integration of exponential, logarithmic and transcendental functions, additional techniques of integration, and application of integral calculus to real world problems. This calculus course has application in mechanics, physics, engineering, and management. Prerequisite: MATH 145

**MATH 246: Calculus III **(4 credit hours – Fall)

Students concentrate on sequence and series, vector valued functions, the theory of differentiation and integration in 2 or 3 dimensional space. Problem solving skills will be developed through the study of applications from fields such as physics, mechanics, biology, and chemistry. Prerequisite: MATH 245

**MATH 300: History & Philosophy of Mathematics and Science** (3 credit hours – On demand)

Historical development of mathematical systems and concepts with significant applications of mathematics from early times to the present. Prerequisite: MATH 105/120 or consent of instructor.

**MATH 310: Elementary Differential Equations** (3 credit hours – Even year Spring)

Solution technique for first order ordinary differential equations, second order linear differential equations, series solutions, and the scientific applications of these concepts. The basic idea of this course has important applications in Physics, Mechanics, and Mathematical modeling in science, finance, and engineering. Prerequisite: MATH 246

**MATH / COMP 322: Numerical Methods **(3 credit hours – On demand)

Round off errors, computer arithmetic with algorithm and convergence, solutions of equations in one variable polynomial approximation, numerical differentiation and integration, initial value problems for ordinary differential equations, linear systems of equations. Prerequisite: MATH 246 and knowledge of computer language.

**MATH 323: Introduction to Mathematical Statistics** (3 credit hours – Odd year Spring)

This is a course in mathematical statistics, covering sample spaces, probability and probability distributions, the central limit theorem, sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, frequentist vs. Bayesian statistics, and other topics. Calculus will be freely employed. Prerequisite: MATH 245.

**MATH 327: Modern Applied Algebra** (3 credit hours – Odd year Fall)

This course will cover the properties of real and complex numbers, algebraic structures (groups, rings and fields). Students will use set theory, mapping, relations and logical methods to analyze the algebraic structure of problems. Examples from wide ranges of application in logic, computer, engineering, and physics will be presented. Prerequisite: MATH225 and 243 or by consent of instructor.

**MATH 330: Applied Mathematics and Modeling **(3 credit hours – On demand)

Population modeling, numerical solutions of the mathematical model, problem solving methods and algorithms developed, high level programming language, and math models for real world problems. Prerequisite: MATH 310 or by consent of instructor.

**MATH 425: Real Analysis** (3 credit hours – Even year Fall)

Real and complex number systems, limit and continuity, numerical sequence and series, metric space and topology, differentiation and integration of real and vector functions. Prerequisite: MATH 243.

**MATH / ED 467: Methods for Teaching Mathematics **(3 credit hours – Spring)

System of natural numbers, system of whole numbers, arithmetic of whole numbers, system of integers, system of rational numbers, arithmetic of non-negative rational numbers, metric system, geometry, study of new materials (Does not count toward a major in mathematics.) Prerequisite: MATH 105/120, or by consent of instructor.

**MATH 485: Special Topics** (Variable credit – On demand)

Students may experience taking a course in a new topic of mathematics, which is not offered in the regular schedule. This offering depends on availability of instructors and needs of students.

**MATH 490: Independent Study** (Variable credit – On demand)

Directed independent in various mathematical topics will help undergraduate students to experience undergraduate research. Directed research project in mathematics, statistics, math education, or computational math on undergraduate level. Results must be presented both in writing and orally to the department.

**MATH 499: Mathematics Research** (Variable credit - On demand)

This course will offer upper-division mathematics and mathematics education majors the opportunity to engage in research related to the mathematical sciences. Students will generally choose a mathematical topic to explore and research the topic throughout the semester. The course culminates in a paper and a presentation.