# Catalogue: Traditional Program:

Mathematics

## Mathematics (MAT)

Assistant Professor Estes, Chair

Associate Professor Smith

Mathematics is a source of intrinsic beauty of numbers, shapes, structures, and interrelationships; it is also a tool to help solve practical problems in many fields of human endeavor. The history of mathematics was shaped through interaction with Christianity, and course work reflects the enormous usefulness of mathematics to describe the universe created and sustained by God. The program for mathematics majors is the traditional mathematics undergraduate program. Coursework for non-majors is designed to help students acquire and refine computational and analytical skills needed to function well in their chosen vocations. Mathematics students will have real-world experience through student teaching, EDU 200, MAT 209, 399 or 499.

Mathematics faculty advise mathematics majors and pre-engineering students.

The **Bachelor of Science degree in mathematics** requires 36 hours: MAT 207, 208, 209, 210, 304, 305, 311, 409, 410, and 490 plus six additional hours of MAT at the 300 level or above. The Bachelor of Arts degree in mathematics requires 36 hours: MAT 207, 208, 209, 210, 304, 305, 311, 409, 410, and 490 plus six additional hours of 300 level or above from ART, BIB, HIS, DAN, EDU, ENG, MUS, PHI, PSC, PSY, SOC, THE, or foreign language.

Physics is recommended to fulfill the core science requirement. Students who choose the pre-engineering option can take the following requirements of (ABET) engineering: MAT 207, 208, 209, 210, 304, and CHE 111-112. (Some engineering disciplines also require CHE 113-114. The pre-engineering student should consult with his advisor and check the engineering school catalog for other specific courses.)

The **mathematics minor** requires 18 hours. Fifteen hours must be at the level or MAT 207 and higher.

**Honors Program:** The mathematics department offers opportunities for students to enroll in honors courses from its department. The following are mathematics general education, elective, and major courses that may be taken as honors courses: MAT 101, 207, 208, 209, and 210. For students majoring in Mathematics, one must pass a minimum of nine hours of honors courses within the discipline and a minimum of nine hours from the honors courses of other departments. Each course must be passed with a B or better. No more than 18 hours are required for the honors degree. For other honors program policies, see "Honors Program" found in the "Administration of the Curriculum" section of this catalogue.

099 |
Beginning Algebra (3). Institutional credit only. For students whose mathematics ACT score is below 17 (SAT math score below 400). Elementary mathematical concepts and procedures. This course does not fulfill the core requirement nor does it count toward the 124 hours required for graduation. (Fall only) |

100 |
Intermediate Algebra (3). Institutional credit only.For students whose mathematics ACT score is 17-20 (SAT math score is 400-450). A study of real numbers, algebraic expressions, algebraic fractions, linear equations/inequalities, quadratic equations, and Pythagorean theorem. This course does not fulfill the core requirement nor does it count toward the 124 hours required for graduation. (Fall and spring) |

101 |
College Algebra (3).For students whose mathematics ACT score is 21 or above (SAT math score is 460 or above). A study of the real number system, equations, inequalities, functions, graphs, zeros of polynomials, conic sections, and the binomial theorem. (Fall and spring) |

102 |
Plane Trigonometry (3). Prereq: MAT 101 or consent of instructor. Trigonometric functions and graphs, identities, equations, inverse functions, vectors, and applications of these concepts. (Spring only) |

110 |
Quantitative Reasoning (3). Prereq: ACT score of 21 or above (SAT math score of 460 or above).A general core alternative to MAT 101, designed primarily for non-science majors. (Not for students planning to take trigonometry or calculus.) Topics include statistical reasoning, probability, logic, problem-solving, estimation, and other analytical skills useful in real-world situations. (Fall and spring) |

131, 132 |
Concepts of Mathematics (3, 3). For majors in elementary education. The problem-solving process, sets, logic, integers, number theory, rational numbers as fractions, decimals and percents, probability and statistics, plane and coordinate geometry, and measurement. (131, fall only; 132, spring only) |

201 |
Mathematics for Business and Economics (3). Prereq: MAT 101 or 110.An introduction to the basics of mathematics tools used in business and economics. Topics include an algebra review, mathematics of finance, probability computations, and introductory calculus with applications. (Fall and spring) |

207 |
Calculus and Analytic Geometry I (3). Prereq: MAT 102, or consent of instructor. Open to freshmen with mathematics ACT score of 26 or above. Concepts of analytic geometry, functions, limits, derivatives, and applications of derivatives. (Fall only) |

208 |
Calculus and Analytic Geometry II (3). Prereq: MAT 207. Integration, applications of the definite integral, logarithmic and exponential functions with their derivatives and applications. (Spring only) |

209 |
Calculus and Analytic Geometry III (3). Prereq: MAT 208.Further techniques of integration, infinite series, and topics in analytic geometry. (Fall only) |

210 |
Calculus and Analytic Geometry IV (3). Prereq: MAT 209. Vectors and vector calculus, three-dimensional space, partial derivatives, and multiple integrals. (Spring only) |

303 |
Discrete Mathematics (3). Prereq: MAT 201 or 207 or consent of instructor. Logic, sets, functions, algorithms, counting, graphs, and selected topics. (Spring 2012, fall 2013) |

304 |
Differential Equations (3). Prereq: MAT 210 or consent of instructor. Theory and application of ordinary differential equations. (Spring, even years) |

305 |
Introduction to Mathematical Statistics and Probability (3). Prereq: MAT 208 or consent of instructor. Frequency distributions, statistical constants, curve fitting, correlation and sampling, and basic laws of probability. (Fall 2012, spring 2014) |

306 |
Advanced Statistics and Probability (3). Prereq: MAT 305. Continuation of MAT 305 for the further study of various standard probability distributions, moments, moment generating functions, sampling theory, and statistical inference. |

308 |
Introduction to Higher Geometry (3). Prereq: MAT 208. Advanced topics in Euclidean geometry; introduction to non-Euclidean geometries. |

311 |
Linear Algebra (3). Prereq: MAT 208. Vectors, vector spaces, matrices and determinants, systems of linear equations, and linear transformations. (Fall only) |

399 |
Selected Topics in Mathematics (1-3). Prereq: MAT 209. Topics chosen from such areas of mathematics as number theory, probability, topology, graph theory, mathematical modeling, mathematics internship, and others. Course can be taken more than once. |

402 |
Operations Research (3). Prereq: MAT 209 or consent of instructor. Application of quantitative methods such as linear and dynamic programming, decision theory, simulation, queuing theory, and network analysis; used to solve problems in the areas of mathematics, business, and computer science. |

409 |
Modern Algebra (3). Prereq: MAT 210 or consent of the instructor. Sets, relations, functions, groups, rings, and fields. (Fall, odd years) |

410 |
Advanced Calculus (3). Prereq: MAT 210 or consent of instructor. Advanced treatment of functions, limits, continuity, differentiability, and the definite integral. (Spring only) |

490 |
Mathematical Investigation (3). Prereq: MAT 210, 304, and 305 or consent of the instructor.Synthesizing mathematical concepts, investigating open-ended problems, and justifying results of analysis of advanced problems through written, oral, and graphic explanation. Utilization of the computer algebra system Mathematica. (Fall only) |

499 |
Selected topics in Mathematics (1-3). Prereq: MAT 304 or consent of the instructor. Topics to be chosen from such areas of mathematics as number theory, topology, complex variables, and advanced differential equations. |