NOTE: Once a student has completed a course in the department, the student cannot take any course that is in the pre-requisite/Co-requisite sequence leading up to the course taken, without the permission of the department chair.
MAT 105 Basic Concepts
3 credits
A course that covers addition, subtraction, multiplication and the division of fractions and decimals; working with positive and negative numbers; percentages, ratios, and rates. The course utilizes these skills by introducing some practical word problems in each section. An introduction to algebra will also be covered. This course does not satisfy the general education requirement for quantitative reasoning skills. Fall
MAT 106 Beginning Algebra
3 credits
This is an introductory course in algebra. Students will learn the basic concepts and applications of algebra. The course will cover real numbers and variables, solving equation and inequalities, solving applied problems, exponents and polynomials, factoring, and graphing. This course does not count toward any program within the mathematics and computer science department. Prerequisite: MAT 105 (or equivalent).
MAT 107 Practical Mathematics for Everyday Life
3 credits
This course will familiarize students with the scope of mathematical applications in the various disciplines. Concepts and understanding of the applications of elementary set theory, the real number system, probability and statistics, elementary algebra, and consumer mathematics will be emphasized. This course is designed primarily for those students not majoring in mathematics or the sciences. Prerequisite: MAT 105 (or equivalent).
MAT 108 Intermediate Algebra
3 credits
A course in intermediate algebra for students with inadequate preparation for Mathematics 205. Not counted toward any program within the Mathematics Department. Prerequisite: MAT 106 (or equivalent).
MAT 204 Mathematics for Middle/Junior High School
3 credits
An elective course for those students interested in teaching in the middle or junior high schools. Topics include relating fractions and decimals to percents, mixed numbers, scientific notation, and selected areas of algebra, geometry, probability and statistics. Prerequisite: MAT 106 (or equivalent). Spring
MAT 205 Functions and Trigonometry
4 credits
A study of elementary functions, their graphs and applications, including polynomial, algebraic, rational, exponential, and trigonometric functions. Prerequisite: MAT 108 (or equivalent).
MAT 211 Calculus I
4 credits
Limits and continuity, derivatives and integrals of algebraic, exponential, logarithmic, and trigonometric functions; relevant analytic geometry and applications. Prerequisite: MAT 205 (or equivalent).
MAT 212 Calculus II
4 credits
A continuation of MAT 211. Techniques of integration are stressed. Prerequisite: MAT 211.
MAT 213 Calculus III
3 credits
Limits and continuity; infinite series; indeterminate forms; geometry, derivatives, and integration associated with functions of several variables. Prerequisite: MAT 212. Spring
MAT 215 Applied Statistics I
3 credits
Descriptive statistics, introduction to inferential statistics, applications. Prerequisite: MAT 106.
MAT 216 Statics for Engineers
3 credits
Principles of mechanics, force systems, static equilibrium, structures, analysis of frames and trusses, distributed forces, friction, centroids, and moments of inertia. This course is required of all 3-2 engineering (mathematics major) program participants. Prerequisite: Permission of the department chair. (Fall of odd numbered years)
MAT 217 Applied Discrete Mathematics
3 credits
Set theory, prepositional logic, Boolean algebra, recurrence relations, combinatorics, matrix algebra, analysis of algorithms, graphs and trees. Prerequisite: MAT 205. Fall
MAT 218 Applied Linear Algebra
3 credits
Linear equations and matrices, vector spaces, linear mappings, determinants, quadratic forms. Spring
MAT 308 Geometry
3 credits
Projective, Euclidean and non-Euclidean geometry, and emphasis on the analytic approach. Prerequisite: MAT 217. (Spring of even numbered years)
MAT 315 Introduction to Mathematical Statistics
3 credits
A study of discrete and continuous sample spaces, probability laws, conditional probability, independence, density and distribution functions, mathematical expectation, joint distributions, and the central limit theorem. Prerequisite: MAT 215. Co-requisite: MAT 213. Spring
MAT 316 Vector Calculus
3 credits
A study of the calculus of vector-valued functions including divergence and curl, line integrals, Green’s Theorem, Stokes’ Theorem and surface integration. Selected applications include statics of particles, equilibrium of rigid bodies and analysis of structures. Co-requisite: MAT 218. Prerequisite: MAT 212. (Fall of odd numbered years)
MAT 317 Operations Research
3 credits
A study of linear programming, duality theory and sensitivity analysis, network analysis, dynamic programming, decision theory, game theory, and queuing theory. Prerequisites: MAT 215 and MAT 218. (Fall of even numbered years)
MAT 325 Applied Statistics II (cross-listed as BIO 325, Biometry)
3 credits
This course is a continuation of MAT 215 (Applied Statistics I) and is designed to help students gain facility with common statistical models where both the response variable and predictors (explanatory factors) are quantitative or categorical. Prerequisite: MAT 215. (Fall of even numbered years)
MAT 365 Internship (cross-listed as CSC 365)
1-3 credits
On-the-job experience either on or off-campus. Specific internship duties are negotiated among the student, the on-site supervisor, and the department course instructor. Interns keep journals of their work experiences and time spent on the job, meet regularly with their instructor, and write a final report of their work experience as it relates to their liberal arts education. The final report must also relate the student’s work experience to the General Education Goals of the University including those goals that address Judeo-Christian values and traditions. Credits will be awarded as agreed to by the parties involved, following the general rule of approximately thirty hours of on-site effort per hour of credit received. This course may be taken two times for a total of up to 6 hours of credit. Graded credit.
MAT 397 Seminar
1 credit
Assigned readings, discussions, oral and written reports on subjects of general mathematical interest and value. A maximum of two credits from this sequence may be counted toward the mathematics major. Prerequisite: Consent of department chair.
MAT 406 Differential Equations
3 credits
Methods of solution and applications of ordinary differential equations, introduction to partial differential equations. Prerequisite: MAT 212. (Fall of even numbered years)
MAT 407 Numerical Analysis
3 credits
Solution of equations, polynomial approximations, numerical integration and differentiation, matrices, differential equations, development of related computer programs. Prerequisite: MAT 212 and MAT 218. (Fall of odd numbered years)
MAT 409 Number Theory
3 credits
A study of properties of the integers. Concepts include factorization, prime numbers, congruences, Diophantine equations, Fermat’s and Wilson’s theorems, Euler’s function, and quadratic reciprocity. Stress will be on the nature of proof. Prerequisites: MAT 217. (Spring of odd numbered years)
MAT 415 Introduction to Real Analysis
3 credits
A study of sequences, convergence, limits, continuity, derivatives and differentials, definite integrals, multiple integrals, sequences, and series of functions. Prerequisites: MAT 212 and MAT 217. (Spring of odd numbered years)
MAT 416 Modern Algebra
3 credits
A study of groups, rings, fields, and integral domains. Prerequisites: MAT 217. (Spring of even numbered years)
MAT 475 Advanced Faith and Learning Integration
3 credits
In the spirit of the mission of Waynesburg University, this course intends to provide junior and senior level students with an unparalleled opportunity to integrate the Bible materials and its history of interpretation to the academic disciplines. Students who wish to engage in this level of theological reflection on vocation should consult with both their academic advisors and with the Chair of the Biblical and Ministry Studies Major Program. See BMS 475 for further information. This course will not substitute for senior capstone/research courses required in the majors. Prerequisites: Junior or Senior standing; three credits in BMS courses; 3.00 minimum grade point average. (Offered when interest is expressed and departmental resources permit.)
MAT 195, 295, 395, 495 Special Topics
1-3 credits
A study of various particular topics which are chosen by the members of the department in consultation with students. Depending upon the particular topics offered, one, two, or three credits may be given. Prerequisite: Consent of department chair. (Offered when interest is expressed and departmental resources permit.)
MAT 497 Independent Study
1-3 credits
Independent study and research into specific topics and problems in the field of mathematics. Prerequisite: Consent of department chair.
MAT 499 Senior Project (cross-listed as CSC 499)
1-3 credits
This course requires a literature, including Web, search and written paper on a selected topic in mathematics. The student and coordinating instructor will agree upon the topic. Upon completion, the project will be briefed to the department faculty and a written report will be submitted.