## Mathematics Courses

### MTH 0900: Mathematics

(3 hours)

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.)

## 1000-level courses

### MTH 1010: College Algebra

(3 hours)

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

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.)

### MTH 1011: College Algebra Recitation

(1 hour)

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

*Corequisite: MTH 1010*

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).

### MTH 1110: Pre-calculus I

(3 hours)

*Prerequisite: Satisfactory performance on placement test or successful completion of MTH 1010 (Grade of C or better)*

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.)

### MTH 1050: Applications of Mathematics

(3 hours)

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

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 pre-calculus or statistics.

### MTH 1180: Elementary Probability and Statistics

(4 hours)

*Prerequisite: One of the following courses: MTH 1010 or MTH 1110 (grade of C or better) or permission of instructor*

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.

### MTH 1210: Pre-calculus II

(3 hours)

*Prerequisite: Satisfactory performance on placement test or successful completion of MTH 1110 (Grade of C or better) or permission of instructor*

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.

### MTH 1950: Special Topics

(1-3 hours)

*Prerequisite: Permission of instructor*

## 2000-level courses

### MTH 2040: Calculus I

(4 hours)

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

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

### MTH 2050: Calculus II

(4 hours)

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

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

## 3000-level courses

### MTH 3010: Euclidean Geometry

(3 hours)

*Prerequisite: MTH 1020 or MTH 1210 or MTH 1180*

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 3010 does not satisfy the general education requirement or count toward a major or minor in Mathematics.)

### MTH 3020: Problem Solving

(3 hours)

*Prerequisite: MTH 1020 or MTH 1210 or MTH 1180*

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 3020 does not satisfy the general education requirement or count toward a major or minor in mathematics.)

### MTH 3030: Linear Algebra for Teachers

(3 hours)

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

An application oriented study of linear algebra for students whose interests are in teaching K-8. Topics that will be emphasized include: systems of equations; vector spaces; subspaces; linear dependence and independence; linear transformations; matrices and matrix algebra; determinants; and eigenvalues and eigenvectors. (MTH 3030 does not count toward a major or minor in mathematics.)

### MTH 3050: History of Mathematics for Teachers

(3 hours)

*Prerequisite: MTH 1000 or MTH 1010 or MTH 1110*

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

### MTH 3060: Calculus III

(4 hours)

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

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

### MTH 3100: Introduction to Mathematical Proofs

(3 hours)

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

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

### MTH 3110: Ordinary Differential Equations

(3 hours)

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

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.

### MTH 3120: Introduction to Geometry

(3 hours)

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

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

### MTH 3130: Introduction to Linear Algebra

(3 hours)

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

Vector spaces; subspaces; linearly dependent and independent subsets; linear transformations; matrices; determinants; eigenvalues and eigenvectors.

### MTH 3200: Introduction to Number Theory

(3 hours)

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

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.)

### MTH 3250: Probability and Statistics I

(3 hours

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

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.

### MTH 3350:Abstract Algebra I

(3 hours)

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

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

### MTH 3380: Introduction to Numerical Methods

(3 hours)

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

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.

### MTH 3400: Multivariable Calculus

(3 hours)

*Prerequisite: MTH 3130 and MTH 3060 with a C or better or permission of instructor. *

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.

### MTH 3440: Advanced Calculus I

(3 hours)

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

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

### MTH 3860, 3861: Cooperative Education Project I

(1-6, 1-6 hours)

Students can obtain information from the Department Chair.

### MTH 3950, 3960: Special Topics

(1-3 hours)

*Prerequisite: MTH 2050 and permission of instructor*

Advanced undergraduate mathematics topics.

## 4000-level courses

### MTH 4260: Probability and Statistics II

(3 hours)

*Prerequisite: MTH 3250 with a C or better*

A continuation of MTH 3250.

### MTH 4360: Abstract Algebra II

(3 hours)

*Prerequisite: MTH 3350 with a C or better*

Structure of finite groups; ideal theory of commutative rings; Galois fields.

### MTH 4450: Advanced Calculus II

(3 hours)

*Prerequisite: MTH 3440 with a C or better*

A continuation of MTH 3440.

### MTH 4860, 4861: Cooperative Education Project II

(1-6, 1-6 hours)

Students can obtain information from the Department Chair.

### MTH 4950, 4960: Special Topics

(1-3 hours)

*Prerequisite: MTH 3060 and permission of instructor*

Advanced undergraduate mathematics topics.

### MTH 4970: Independent Study

(1-3 hours)

### MTH 4990: Mathematics Seminar (Capstone Course)

(1 hour)

*Prerequisites: MTH 306, Junior or Senior Status, declared major and approval of Department Chair.*

This course should be taken concurrently with an approved advanced mathematics course. Study of a topic related to the material in the advanced course will be required along with completion of a 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.