Department of Mathematics and Computer Science

Present Location: Mathematics Information - Mathematics Courses

Mathematics Courses

MTH 0900 - Mathematics

Offered: Every Semester

Hours: 3

Fundamental arithmetic operations; basic algebraic processes; linear equations in one and two unknowns; polynomials; factoring trinomials; solutions of quadratic equations. (A remedial course designed for students who are not prepared to take college-level mathematics courses. Offered for credit/no credit only.)

Prerequisites: None

MTH 1010 - College Algebra

Offered: Every Semester

Hours: 3

Brief review of the basic concepts of algebra; equations and inequalities (absolute value, polynomial, radical, and rational); complex numbers; functions and their graphs; distance and midpoint formulas; circles; polynomial functions; modeling using variation; and systems of equations in two and three variables. (No credit is given for this course if a student has satisfactorily completed MTH 1110 or above.)

Prerequisite: Satisfactory performance on placement test, or successful completion of MTH 0900.

MTH 1011 - College Algebra Recitation

Offered: Every Semester

Hours: 1

For students concurrently enrolled in MTH 1010, this recitation course is problem set based and provides directed help with the content presented in MTH 1010. The main objective of this course is to provide a structured learning environment for students who have algebraic deficiencies identified through the mathematics placement test or by the MTH 1010 instructor. (This course is offered on a credit/no credit basis).

Prerequisite: Prerequisite: Satisfactory performance on placement test, successful completion of MTH 0900, or MTH 1010 instructor placement.

Corequisite: MTH 1010

MTH 1050 - Applications of Mathematics

Offered: Every Semester

Hours: 3

MTH 1050 is a project-based course designed to provide students the opportunity to apply the mathematics they already know to real world problems. Topics include the mathematics of: budgeting and personal finance; diet and exercise; cost of living; mortgages, loans, and credit card debt; opening a small business; and constructing scale diagrams and models. This course is intended for students whose majors do not require precalculus or statistics.

Prerequisite: Satisfactory performance on placement test or one of the following courses: MTH 1010 or MTH 1110, or permission of instructor.

MTH 1110 - Precalculus I

Offered: Every Semester

Hours: 3

Mathematical models; linear and quadratic functions, models, and applications; polynomial and rational functions and models; composite functions; inverse functions; exponential and logarithmic equations, functions and models; financial models; exponential growth and decay; and logistic growth and decay models. (This course is designed for students whose major requires precalculus or calculus.)

Prerequisite: Satisfactory performance on the placement test, or completion of MTH 1010 (grade of C or better).

MTH 1130 - Matrix Algebra

Offered: Every Semester

Hours: 1

Writing and solving systems of equations using matrices. Matrix algebra, finding matrix inverses and using matrix inverses to solve systems. Computing determinants of matrices using cofactors and properties of determinants. Finding eigenvalues and eigenvectors.

Prerequisite: MTH 1110 with C or better, or permission of instructor.

MTH 1180 - Elementary Probability and Statistics

Offered: Every Semester

Hours: 3

Describing data with graphs and numerical measures; linear regression and correlation; rules of probability; random sampling; binomial, Poisson and normal distributions; hypotheses testing; and other topics such as Chi-Square, T- and F-distributions if time permits.

Prerequisite: MTH 1010 or MTH 1110, or permission of instructor.

MTH 1210 - Precalculus II

Offered: Every Semester

Hours: 3

Inverse functions; exponents and logs; degrees and radians; arc length and sector area; trig functions on triangles and on the circle; trig graphs; trig identities; law of sines and cosines. Logarithm, exponent and trig applications are heavily emphasized.

Prerequisites: Satisfactory performance on placement test or successful completion of MTH 1110 (grade of C or better), or permission of instructor

MTH 1950 - Special Topics

Offered: As Needed

Hours: 1-3

Prerequisites: Permission of instructor.

MTH 2010 - Euclidean Geometry

Offered: Every Semester

Hours: 3

An application-oriented study of Euclidean geometry for students whose interests are in teaching K-8. Topics that will be emphasized include: foundations of geometry; introduction to proofs; triangles; parallel lines and polygons; ratio, proportion and similarity; right triangles and the Pythagorean Theorem; circles; and solid geometry. (MTH 2010 does not satisfy the Liberal Arts Core requirement or count toward a major or minor in mathematics.)

Prerequisite: Completion of 6 hours Liberal Arts Core mathematics credits with grade of C or better.

MTH 2020 - Problem Solving

Offered: Every Semester

Hours: 3

A study of topics from the foundations of mathematics, with emphasis on problem solving. Topics will include: steps in problem solving in mathematics; elementary set theory; elementary logic and mathematical proofs; elementary number theory; properties of integers and properties of rational numbers; lines and linear functions; combinatorics and probability; elementary statistics; sequences; and systems of linear equations.(MTH 2020 does not satisfy the Liberal Arts Core requirement or count toward a major or minor in mathematics.)

Prerequisite: Completion of 6 hours Liberal Arts Core mathematics credits with grade of C or better.

MTH 2025 - Methods for Teaching Mathematics

Offered: Every Semester

Hours: 1

A study of the mathematical topics for those seeking licensure or teaching Pre-K-6. Emphasis will be on content covered in grades 6-8. Methods of teaching mathematics to include middle school math content will be investigated. Topics to include: rations, proportions, similar triangles, special triangles, trigonometric functions, patterns, arithmetic and geometric sequences and series. Venn diagrams.

Prerequisite: MTH 2020 or MTH 2010, and EDU 2510.

MTH 2040 - Calculus I

Offered: Every Semester

Hours: 4

Limits and continuity; differentiation of algebraic, exponential, logarithmic and trigonometric functions; derivative as a rate of change; maxima and minima; applications; antiderivatives.

Prerequisite: MTH 1210 with a C or better, or permission of instructor.

MTH 2050 - Calculus II

Offered: Every Semester

Hours: 4

Integration of algebraic, exponential, logarithmic, and trigonometric functions; arc length; areas; volumes; improper integrals; parametric equations; polar coordinates.

Prerequisite: MTH 2040 with a C or better, or permission of instructor.

MTH 2180 - Applied Probability and Statistics

Offered: Every Semester

Hours: 3

Numerical descriptive measures, basics of probability, sampling and sampling distributions, the normal distribution, confidence intervals and hypothesis tests for one and two samples, ANOVA, Chi-Square tests, multiple linear regression. Use of R statistical software.

Prerequisite: MTH 1210 with a C or better.

MTH 3030 - Introduction to Linear Algebra with Applications

Offered: Every Semester

Hours: 3

An application oriented study of linear algebra for non-math majors. Topics that will be emphasized include: systems of equations; subspaces; linear dependence and independence; linear transformations; matrices and matrix algebra; determinants; and eigenvalues and eigenvectors. (Students cannot receive credit for both MTH 3030 and MTH 3130.)

Prerequisite: MTH 2040 with a C or better, or permission of instructor.

MTH 3050 - History of Mathematics for Teachers

Offered: Every Semester

Hours: 3

An application oriented study of the history of mathematics for students whose interests are in teaching K-8. Emphasis is given to mathematicians and their contributions with a focus on various applications of their work. (Math 3050 does not count toward a major or minor in mathematics.)

Prerequisite: MTH 2040 with a C or better, or permission of instructor.

MTH 3060 - Calculus III

Offered: Every Semester

Hours: 4

Infinite sequences and series; lines and planes in space; vector valued functions; functions of several variables; partial derivatives; directional derivatives; gradients; maxima and minima; curvature.

Prerequisite: MTH 2050 with a C or better, or permission of instructor.

MTH 3100 - Introduction to Mathematical Proofs

Offered: Every Semester

Hours: 3

Writing mathematical proofs. Exercises in set theory, number theory. Includes set operations, induction, the Fundamental Theorem of Arithmetic, relations, functions, and equivalence relations.

Prerequisite: MTH 2050 with a C or better, or permission of instructor.

MTH 3110 - Ordinary Differential Equations

Offered: Every Semester

Hours: 3

Classifications of ordinary differential equations; first order linear equations; first order nonlinear separable equations; second order and higher linear equations with constant coefficients; applications; other selected topics.

Prerequisite: MTH 2050 with a C or better, and either MTH 1130 or MTH 3030 with a C or better or permission of instructor

MTH 3120 - Introduction to Geometry

Offered: Every Semester

Hours: 3

The history and development of Euclidean and non-Euclidean geometries. The axiomatic method and techniques of proof are emphasized.

Prerequisite: MTH 3100 with a C or better or permission of instructor.

MTH 3130 - Linear Algebra

Offered: Every Spring Semester

Hours: 3

Vector spaces; subspaces; linearly dependent and independent subsets; linear transformations; matrices; diagonalization; orthogonalization and inner product spaces. (Students cannot receive credit both for MTH 3030 and MTH 3130)

Prerequisite: MTH 2040 and MTH 1130, both with a C or better, or permission of instructor.

MTH 3200 - Introduction to Number Theory

Offered: Every Semester

Hours: 3

Unique factorization theorem; linear Diophantine equations; linear congruences; Fermat’s and Wilson’s theorems; divisors of an integer; perfect numbers; Euler’s theorem; numbers of other bases; quadratic congruences and reciprocity. (A course of interest and benefit to prospective teachers of mathematics.)

Prerequisite: MTH 3100 with a C or better, or permission of instructor

MTH 3250 - Probability and Statistics I

Offered: Every Semester

Hours: 3

Methods in enumeration; discrete and continuous random variables; conditional and independent probability; mathematical expectation; mean, variance and standard deviation; principal distributions; and moment generating functions.

Prerequisite: MTH 2050 with a C or better, or permission of instructor.

MTH 3350 - Abstract Algebra I

Offered: Every Semester

Hours: 3

Groups; cyclic groups; normal subgroups; Lagrange's theorem; permutation groups; group homomorphisms; Cayley's theorem; elementary theory of rings and fields.

Prerequisite: MTH 3100 with a C or better, or permission of instructor.

MTH 3380 - Introduction to Numerical Methods

Offered: Every Semester

Hours: 3

The theory and techniques of numerical computation involving interpolation methods; solution of systems of equations and methods of solving ordinary differential equations. Practice in the use of modern computers and programming. (Dual listing with CSC 3380.)

Prerequisites: MTH 2050 and either CSC 1010 or CSC 1180 with a C or better, or permission of instructor.

MTH 3400 - Multivariable Calculus

Offered: Every Semester

Hours: 3

Geometry of Euclidean space; cylindrical and spherical coordinate systems; functions from Rn to Rm; Jacobean matrix; double and triple integrals. Additional topics such as surface integrals, Green's and Stoke's theorems will be covered as time permits.

Prerequisite: MTH 3060 and either MTH 3030 or MTH 3130 with a C or better, or permission of instructor.

MTH 3440 - Advanced Calculus I

Offered: Every Semester

Hours: 3

The real number system; sequences, convergence, and Cauchy criterion; continuous and differentiable functions; Mean Value Theorem; Taylor’s series; and Riemann integral.

Prerequisite: MTH 3100 with a C or better, or permission of instructor.

MTH 3860, 3861 - Cooperative Education Project I

Offered: As Needed

Hours: 1-6

Students can obtain information from the Department Chair.

MTH 3950, 3960 - Special Topics

Offered: As Needed

Hours: 1-3

Advanced undergraduate mathematics topics.

Prerequisite: MTH 2050 and permission of instructor.

MTH 4260 - Probability and Statistics II

Offered: Every Semester

Hours: 3

Central Limit Theorem; joint, marginal and conditional distributions; covariance; transformations of random variables; parametric and nonparametric two-sample hypotheses tests; parameter estimation; and confidence levels.

Prerequisite: MTH 3250 with a C or better.

MTH 4360 - Abstract Algebra II

Offered: Every Semester

Hours: 3

Ideal and factor rings; integral domains; ring homomorphism; polynomial factorization; field extensions; Galois theory.

Prerequisite: MTH 3350 with a C or better.

MTH 4450 - Advanced Calculus II

Offered: Every Semester

Hours: 3

A continuation of MTH 3440.

Prerequisite: MTH 3440 with a C or better.

MTH 4860, 4861 - Cooperative Education Project II

Offered: As Needed

Hours: 1-6

Students can obtain information from the Department Chair.

MTH 4950, 4960 - Special Topics

Offered: As Needed

Hours: 1-3

Fundamental arithmetic operations; basic algebraic processes; linear equations in one and two unknowns; polynomials; factoring trinomials; solutions of quadratic equations. (A remedial course designed for students who are not prepared to take college-level mathematics courses. Offered for credit/no credit only.)

Prerequisites: MTH 3060 and permission of instructor.

MTH 4970 - Independent Study

Offered: Every Semester

Hours: 1-3

MTH 4990 - Mathematics Seminar (Capstone Course)

Offered: Every Semester

Hours: 1

This course should be taken concurrently with (or following) an approved advanced mathematics course. Study of a topic related to the material in advanced course will be required along with completion of project in consultation with the instructor. The student will be required to present a summary of the project, both orally and in writing, demonstrating critical thinking and problem-solving ability.

Prerequisites: MTH 3060, Junior or Senior Status, declared major, and approval of Department Chair.