Bachelor of Science
Mathematics
Program Learning Outcomes
- Applying multiple approaches and perseverance when proving theorems and problem solving
- Reasoning abstractly, quantitatively, and recognizing the importance and development of mathematics throughout history
- Constructing viable mathematical arguments and communicating mathematical knowledge and understanding verbally and in writing
- Using appropriate mathematical tools and technology for discovering and understanding mathematical ideas
- Acquiring in-depth knowledge of how mathematics can be applied in the student’s choice of concentration or career
Degrees
-
Mathematics, -
Mathematics, Minor
Courses
MAT 101: Mathematics for the Liberal Arts
Class Program
A course on the methods and ideas of mathematics as they relate to the liberal arts. Topics such as sets, logic, mathematics and the fine arts, properties of functions, algebra, elementary probability and statistics, game theory, social choice, financial mathematics, number theory, graph theory, and binary operations.
Core Tags
MA
Semester Offered
Offered every semester.
MAT 111: College Algebra
Class Program
Topics include polynomial, rational, radical, exponential, and logarithmic expressions, and functions; graphing, systems of equations; inequalities.
Core Tags
MA
Semester Offered
Offered every semester.
MAT 122: Mathematics for Life
Class Program
A course on the methods and ideas of mathematics as they relate to everyday life. Topics to include, consumer mathematics, measurement and geometry, probability, and statistics, voting theory and graph theory.
Prerequisites
MAT 101 or MAT 111 or higher placement
Semester Offered
Offered at departmental discretion.
MAT 150: Precalculus Mathematics
Class Program
Fundamental principles of college algebra and trigonometry essential to the study of calculus. Emphasis on functions and their graphs, including polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions.
Core Tags
MA
Prerequisites
A grade of “C” or better in MAT 111 or higher, or placement
Semester Offered
Offered every semester.
MAT 200: Applied Statistics
Class Program
A data-oriented approach to statistics by arguing from the sample to the population. Topics include combinatorics, random variables, sampling distributions, estimation, tests of statistical hypotheses, regression, correlation, ANOVA, and nonparametric methods.
Core Tags
MA
Prerequisites
A grade of “C” or better in MAT 111 or higher, or placement
Semester Offered
Offered every semester.
MAT 202: Applied Calculus for Business and Life Sciences
Class Program
Survey of concepts of differential and integral calculus for Business and Life Sciences majors with emphasis on modeling and applications. Students will apply the concepts of calculus to problems found in these fields, and interpret the results numerically, algebraically, and graphically. MAT 202 may not be used in place of MAT 211 as a prerequisite for other courses, nor may MAT 202 be used as a program requirement in place of MAT 211. MAT 202 cannot replace MAT 150 as a prerequisite for MAT 211.
Core Tags
MA
Prerequisites
A grade of “C” or better in MAT 111 or 150 or placement by the department
Semester Offered
Offered every spring.
MAT 211: Calculus I—Differential Calculus
Class Program
An introduction to single-variable calculus. Functions, limits and continuity, differentiation of algebraic and transcendental functions, introduction to integration and differential equations.
Core Tags
MA
Prerequisites
A grade of “C” or better in MAT 150 or placement by the department
Semester Offered
Offered every semester.
MAT 212: Calculus II--Integral Calculus
Class Program
Continuation of MAT 211. Applications of integration, integration techniques, indeterminate forms and improper integrals, sequences and series, parametric equations in the plane, polar coordinates, first and second order ordinary differential equations.
Core Tags
MA
Prerequisites
A grade of “C” or better in MAT 211 or placement by the department
MAT 213: Calculus III Multivariable Calculus
Class Program
Continuation of MAT 212. Introduction to multivariable calculus. Analytic geometry of vectors, vector functions, partial derivatives, multiple integrals, and vector calculus. Recommended to be taken concurrent with MAT 225.
Prerequisites
A grade of “C” or better in MAT 212
Semester Offered
Offered every fall.
MAT 221: Basic Concepts of Mathematics
Class Program
MAT 221 is a content course for students intending to become elementary school or early childhood teachers. It is designed to improve, broaden, and deepen proficiency, appreciation and understanding of mathematics. Content will include elementary number theory, problem solving strategies, numeration systems, fundamental operations, and algebra. Methods and best practices for teaching elementary school mathematics will be modeled as part of instruction. Special attention will be given to NCTM Standards in Mathematics and traditional as well as technological tools and strategies for teaching. Required of all Early Childhood and Elementary Education majors. A grade of “C” or better is required for Elementary Education and Early Childhood majors. This course does NOT satisfy the Core Curriculum requirement.
Prerequisites
A grade of “C” or better in MAT 111 or higher excluding MAT 222, MAT 122 or placement by the department.
Semester Offered
Offered fall semester.
MAT 222: Geometry for Elementary Teachers
Class Program
MAT 222 is a content course for students intending to become elementary school or early childhood teachers. A study to develop basic skills in probability and statistics, geometric intuition, and fluency of such concepts as congruence, measurement, and similarity. Methods and best practices for teaching elementary school mathematics will be modeled as part of instruction. Special attention will be given to NCTM Standards in Mathematics and traditional as well as technological tools and strategies for teaching. Required of all Early Childhood and Elementary Education majors. A grade of “C” or better is required for Elementary Education and Early Childhood majors. This course does NOT satisfy the Core Curriculum requirement.
Prerequisites
A grade of “C” or better in MAT 111 or higher excluding MAT 222, MAT 122 or placement by the department
Semester Offered
Offered spring semester.
MAT 225: Survey of Higher Mathematics
Class Program
A transitional course to prepare students for upper-level courses in mathematics. Logic and proof techniques, set theory, functions, relations, cardinality, concepts of algebra, concepts of analysis.
Prerequisites
A grade of “C” or better in MAT 212.
Semester Offered
Offered fall semester.
Notes
PETH for Mathematics majors.
MAT 227: Discrete Mathematics
Class Program
Description: This course is designed to introduce students to the various tools and techniques in discrete mathematics and to prepare students for upper-level mathematics. Topics include set theory, Mathematical logic, and proof techniques, counting methods, recurrence relations, algorithms and complexity, graph theory and graph algorithms. Satisfies Core Curriculum requirement for a Mathematics (MAT) course.
Core Tags
MA
Prerequisites
A grade of “C” or better in MAT 150
Semester Offered
Offered spring semester.
MAT 261: Differential Equations
Class Program
Methods for the solution of differential equations of the first and higher order, Laplace Transforms, systems of differential equations, selected topics.
Prerequisites
A grade of “C” or better in MAT 225. MAT 213 is recommended.
Semester Offered
Offered spring semester.
MAT 334: Linear Algebra
Class Program
Matrix algebra, Gauss-Jordan elimination, vector spaces, linear independence, determinants, orthogonality, linear transformations and their matrix representation, eigenvalues and eigenvectors, and applications. Required for state teacher certification in Mathematics.
Prerequisites
A grade of “C” or better in MAT 225
Semester Offered
Offered spring semester.
MAT 335: Modern Geometry
Class Program
A study of modern geometry including history, current axiom systems, and alternate developments of geometry using coordinates, vectors, and groups. Required for state teacher certification in Mathematics.
Prerequisites
A grade of “C” or better in MAT 225
Semester Offered
Offered fall semester, odd-numbered years.
MAT 336: Methods of Teaching Secondary Mathematics
Class Program
This course is designed to give teacher candidates practical training in the teaching of mathematics on the secondary level (9-12). Teacher candidates will become familiar with National Mathematics Standards from NCTM. Students will develop knowledge of instructional strategies, activities, and materials essential for effective teaching of mathematics in secondary schools. 24 hours of field experience will be required. Recommend enrolling the fall semester before student teaching. Required for teacher certification in Mathematics. Open only to students in the Teacher Education Program.
Prerequisites
MAT 150 or higher, EDU 300 or higher, successful admission to the Teacher Education Program
Semester Offered
Offered fall semester.
MAT 338: Vector Analysis
Class Program
A study of the algebra of vectors and the calculus of vector-valued functions. Topics include vector identities, space curves, and the gradient, divergence, and curl of vector functions. Also considered are line and surface integrals including the Divergence Theorem, Green’s Theorem, and Stoke’s Theorem.
Prerequisite Courses
Semester Offered
Offered at departmental discretion.
MAT 342: Partial Differential Equations
Class Program
This is an introductory course that covers the classical parabolic, hyperbolic, and elliptic partial differential equations. Separation of variables, eigenvalues and eigenfunctions, Fourier series, Green’s functions.
Prerequisite Courses
Semester Offered
Offered at departmental discretion.
MAT 343: Linear Algebra
Class Program
MAT 351: Introduction to Probability and Statistics
Class Program
Description: A calculus-based course with topics to include basic probability, discrete and continuous random variables, discrete and continuous probability distributions, mathematical expectations, laws of large numbers, central limit theorem, sampling and estimating theory, tests of hypotheses and significance, curve fitting, regression and correlation, analysis of variance, and nonparametric tests.
Prerequisites
A grade of “C” or better in MAT 225. MAT 200 is recommended.
Semester Offered
Offered at departmental discretion.
MAT 371: Numerical Analysis
Class Program
Error analysis, solution of equations in one variable, interpolation and polynomial approximation, numerical differentiation and integration, direct method in solving linear systems, numerical solutions of nonlinear systems of equations, approximation theory, selected topics.
Prerequisites
A grade pf “C” or better in MAT 225.
Semester Offered
Offered at departmental discretion.
MAT 433: Abstract Algebra I
Class Program
An introductory approach to the fundamentals of group, ring, and field theory. Topics to include groups, subgroups, cyclic groups, permutation groups, cosets, homomorphism, isomorphism, the Sylow theorems, rings, and fields.
Prerequisites
A grade of “C” or better in MAT 225
Semester Offered
Offered fall semester, odd-numbered years.
Notes
PCOM for Mathematics majors.
MAT 434: Abstract Algebra II
Class Program
Continuation of MAT 433. An in-depth treatment of the topics covered in MAT 433. Topics to include: groups, rings, and fields as well as homomorphism and isomorphism, ring factorization, Lattices, vector spaces, and Galois theory.
Prerequisite Courses
Semester Offered
Offered at departmental discretion.
MAT 443: Real Analysis I
Class Program
An introductory approach to the real numbers and completeness, Inverse Function Theorem and its application, limits, sequences and series, uniform continuity, theory of differentiation and integration, sequences and series of functions, and Fourier series theory.
Prerequisites
A grade of “C” or better in MAT 225
Semester Offered
Offered spring semester, even-numbered years.
Notes
PCEN for Mathematics majors.
MAT 444: Real Analysis II
Class Program
Continuation of MAT 443. An in-depth treatment of the topics in MAT 443. Topics to include: improper integrals, general convergence of sequences of functions, complex numbers, and Fourier series.
Prerequisite Courses
Semester Offered
Offered at departmental discretion.
MAT 445: Complex Analysis
Class Program
A study of the algebra and calculus of complex numbers. Specific topics include analytic and elementary functions, mappings by elementary functions, the Cauchy integral formula, Taylor and Laurent Series, residues, and poles.
Prerequisites
A grade of “C” or better in MAT 225.
Semester Offered
Offered at departmental discretion.
MAT 451: Topology
Class Program
Fundamentals of set theory, definition of topological spaces, product and subspace topology, quotient topology, connectedness, and compactness, countability and separation axiom, Urysohn lemma, Tychonoff's theorem, complete metric spaces, space-filling curves, compactness in metric spaces, and modes of convergence.
Prerequisite Courses
Semester Offered
Offered at departmental discretion.
MAT 455: Number Theory
Class Program
Divisibility theory of integers, primes and their distribution, the theory of congruences, Fermat’s and Wilson’s theorems, number-theoretic functions, Euler’s theorem.
Prerequisites
A grade of “C” or better in MAT 225.
Semester Offered
Offered at departmental discretion.
MAT 481: Junior Capstone Experience
Class Program
This course is designed to give students experience and to improve their skill in reading, writing, and understanding mathematics and introduction to undergraduate research. Satisfies Core Curriculum requirement for Professional Knowledge & Experience.
Prerequisites
Junior standing and MAT 433, open only to math majors
Notes
PETH for Mathematics majors.
MAT 482: Senior Capstone Experience
Class Program
Continuation of MAT 481, special emphasis will be on the completion of a research project defined in MAT481 and an exit interview. Satisfies the Core Curriculum for Intellectual, Social and CE.
Prerequisites
Senior Standing and MAT 481, open only to math majors.
Notes
PCEN for Mathematics majors.
MAT 490: Special Topics in Mathematics
Class Program
Topics to be selected by the instructor. Students may receive credit for more than one MAT 490 course, but the student may not repeat the topics.
Prerequisites
Senior level student with a minimum of 3.0 GPA in all MAT courses.
MAT 491: Independent Study
Independent study in a selected field or problem area of mathematics. The topic or problem to be studied will be chosen in consultation with departmental faculty under whose guidance the study will be conducted. Subject to Independent Study rules and regulations.
MAT 495: Internship
Internships or practical experience in an approved program of study. Limited to majors in the department. Subject to Internship regulations and restrictions.
MAT 496: Internship
Internships or practical experience in an approved program of study. Limited to majors in the department. Subject to Internship regulations and restrictions.
MAT 499: Senior Essay
A project requiring scholarly research. Topics to be selected by the instructor. Students may receive credit for more than one MAT 499 course, but students may not repeat the topics. Subject to Senior Essay rules and regulations.