# Mathematics Courses

**MATH 099 Basic Mathematics**

Basic Mathematics: This is a developmental mathematics course including topics generally found in high school algebra II. Credit for this course may not be used toward graduation. 3 hrs.

**MATH 104 Mathematical Ideas**

Mathematical Ideas: The course will explore topics selected from number theory, probability theory, topology and set theory. In addition, such areas as logic, modern geometries, chaos theory and fractals may be addressed. Throughout, unifying concepts of investigation, conjecture, counter examples and applications will be stressed. Note: This course does not prepare the student for subsequent enrollment in Introductory Statistics or Calculus. 3 hrs.

**MATH 105 Finite Mathematics**

Finite Mathematics: Systems of equations, matrices, coordinate systems and graphs, and an introduction to linear programming, stochastic matrices, the mathematics of finance, difference equations and mathematical models. Topics are applied to illustrate the uses of finite mathematics in other disciplines. MATH 105 and MATH 110 may not both be counted towards graduation credit. 3 hrs.

**MATH 106 Introductory Statistics**

Introductory Statistics: An introduction to data analysis and statistical concepts. Interpretation and calculations for description of single variables and simple regression, basic probability, random variables, confidence intervals and tests of hypotheses. Students may be required to have access to a TI-83 or TI-83 Plus calculator or be required to work with statistics software on the computer. 3 hrs.

**MATH 110 Quantitative Business Methods**

Quantitative Business Methods: A study of several key topics in mathematics that are applicable to other fields of study. Topics include linear and nonlinear functions, rates of change, mathematical systems, and finding maxima and minima. Emphasis will be placed on critical thinking and problem solving through the study of hypothetical cases and real-world problems. Math 110 and Math 105 may not both be counted toward graduation credit. 3 hrs.

**MATH 111 Precalculus**

Precalculus: Topics will include functions and their graphs, exponential and logarithmic functions,

trigonometric functions and equations, the theory of polynomials, systems of equations, sequences and

analytic geometry. 3 hrs.

**MATH 121 Calculus I**

Calculus I: An integrated treatment of analytic geometry and limits, continuity of functions, differentiation of algebraic and trigonometric functions, applications of derivatives to extreme values and curve sketching, the fundamental theorems of integral calculus, common integration techniques and applications. Prerequisite: MATH 111 or consent of the mathematics department. 4 hrs.

**MATH 122 Calculus II**

Calculus II: The calculus of transcendental functions, indeterminate forms and l'Hopital's rule, improper

integrals, infinite sequences and series, further techniques and applications of integration, inverse trigonometric functions, polar coordinates and plane curves. Students will be required to have access to a TI- 83 or TI-83 Plus calculator for this course. Prerequisite: MATH 121. 4 hrs.

**MATH 209 Discrete Mathematics**

Discrete Mathematics: An introductory treatment of relations, functions, set theory, Boolean algebra, logic and methods of proof, the binomial theorem, combinatorics, elements of number theory and recursion. 3 hrs.

**MATH 220 Calculus II**

Calculus II: The calculus of transcendental functions, indeterminate forms and l'Hopital's rule, improper

integrals, infinite sequences and series, further techniques and applications of integration, inverse

trigonometric functions, polar coordinates and plane curves. Students will be required to have access to a TI- 83 or TI-83 Plus calculator for this course. Prerequisite: MATH 121. 4 hrs.

**MATH 221 Calculus III**

Calculus III: Vector-valued functions, multi-variable functions and their derivatives, multiple integral, alternate coordinate systems, and the theorems of Green and Stokes. Students will be required to have access to a TI- 83 or a TI-83 Plus calculator for this course. Prerequisite: MATH 122. 3 hrs.

**MATH 303 Linear Algebra**

Linear Algebra: Coordinate geometry, vectors and threedimensional geometry, matrices and determinants, linear transformations. Prerequisite: MATH 121. 3 hrs.

**MATH 304 Geometry**

Geometry: Modern approach to the study of Euclidean and non-Euclidean geometries, including incidence and affine geometries; designed especially for students preparing to teach. Prerequisite: MATH 121. 3 hrs.

**MATH 311 Differential Equations**

Differential Equations: This course is designed to introduce the student to differential equations and their applications. In addition to studying the theoretical aspects of differential equations, students will also examine numerical methods and solutions with the use of the existing computer facilities and software. Prerequisite: MATH 220. 3 hrs.

**MATH 320 Probability & Statistics**

Probability and Statistics: A first course in both probability and statistics. Topics include a rigorous mathematical approach to probability laws, conditional probability, the concept of independence, random variables, discrete and continuous distributions, sampling, statistical inference, central limit theorem, and hypothesis testing. Practical application will be explored using the SPSS computer statistics package. Prerequisites: MATH 220. 3 hrs.

**MATH 380 Mathematical Finance**

Mathematical Finance: A mathematical approach to the theory of finance including theory of interest, risk and return, insurance models, valuing investments and financial derivatives. Prerequisites: MATH 220. 3 hrs.

**MATH 401 Modern Algebra I**

Modern Algebra I: Introduction to abstract algebra. Topics include basic properties of integers, permutation groups, subgroups, quotient groups, group isomorphisms and homomorphism, rings and ideals. This course fulfills the writing-intensive course requirement. Prerequisite: MATH 303. 4 hrs.

**MATH 410 Mathematical Probability**

Mathematical Probability: This course investigates both the mathematical theory behind the study of probability as well as its use in modeling stochastic behavior. Topics include moment generating functions, expectation, stochastic processes, multivariate distributions, variance and covariance. Prerequisites: MATH 221, MATH 320. 3 hrs.

**MATH 415 Intro to Real Variable Theory**

Introduction to Real Variable Theory: Careful axiomatic development of the real number system, limits of functions and real sequences, continuity, theory of differentiation and integration. Prerequisite: MATH 221. 3 hrs.

**MATH 417 Introduction to Complex Analysis**

Introduction to Complex Analysis: Development of the theory of complex numbers and functions, power series, Cauchy's theorem and applications, harmonic functions and conformal mapping. Prerequisite: MATH 221. 3 hrs.

**MATH 420 Mathematical Statistics**

Mathematical Statistics: This course investigates both the mathematical theory behind the study of statistics as well as its use as a tool of inference. Topics include curve fitting, multiple regression, ANOVA, inference tests, properties of estimators and further exploration of the SPSS statistics package. Prerequisites: MATH 221, MATH 320. 3 hrs.

**MATH 430 Topics in Mathematics**

Topics in Mathematics: This course provides the opportunity for a faculty member and a group of interested students to study a subject that is not offered on a regular basis in the curriculum. Topics are announced annually. May be repeated for credit under different subtitles. May vary with topic. Lecture hours vary with the hours credit and the course taught. 1-4 hrs.

**MATH 450 Independent Study**

Independent Study: MATH 450 Independent Studies in Mathematics Research projects in the area of the

student's interest; written report will be required. May be repeated for credit. Prerequisite: Open to mathematics majors with at least junior standing. 1-3 hrs.

**MATH 490 Actuarial Science**

Actuarial Science: This course connects the topics studied in other courses to the discipline of actuarial

science by studying various applications. In addition, the course will help to prepare the student for the entry-level actuarial science exam. Prerequisites: MATH 410, MATH 420. 3 hrs.

**MATH 496 Senior Thesis Preparation**

Senior Thesis Preparation: Each student will be assigned an advisor from the mathematics faculty, with whose guidance the student will read in a mathematical area and select the topic for the paper or project to be completed in the following semester. A grade of K will be assigned for MATH 496 until MATH 497 has been completed. Prerequisite: Junior or senior standing. 1 hr.

**MATH 497 Senior Thesis**

Senior Thesis: Each student will complete the project for which preparatory work was done during the previous semester. The project will be presented to an audience of peers and instructors and a written version of the paper may be housed in the library. Prerequisite: MATH 496. 2 hrs.