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MATH 099 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 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. Prerequisite: MATH 099 or satisfactory performance on the mathematics placement test. 3 Hrs.
MATH 105 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. Prerequisite: MATH 099 or satisfactory performance on the mathematics placement test. MATH 105 and MATH 110 may not both be counted towards graduation credit. 3 Hrs.
MATH 110 Optimization This course is designed to arm students with the mathematical tools that will ease their understanding of mathematical topics encountered in other disciplines and in future careers. Topics include an introduction to functions and their graphs; solutions to polynomials and systems of linear equalities and inequalities; differential and integral calculus. Applications that will be studied include optimizing with constraints, rates of change, finding maxima and minima of functions. This course may substitute for MATH 111 as the prerequisite for MATH 121 with permission of department chair. MATH a105 and MATH 110 may not both be counted towards graduation credit. Prerequisite: MATH 099 or satisfactory performance on the mathematics placement test. 3 Hrs.
MATH 111 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. Prerequisite: MATH 099 or satisfactory performance on the mathematics placement test. 3 Hrs.
MATH 121 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 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 206 Statistical Methods 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 will be required to have access to a TI-83 or TI-83 Plus calculator for this course. 3 Hrs.
MATH 209 Discrete Mathematics A rigorous treatment of relations, functions, set theory, Boolean algebra, logic and methods of proof, the binomial theorem, combinatorics, elements of number theory and recursion. Pre-or co-requisite: MATH 122. 3 Hrs.
MATH 221 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 Coordinate geometry, vectors and three-dimensional geometry, matrices and determinants, linear transformations. Prerequisites: MATH 209, 221. 3 Hrs.
MATH 304 Geometry Modern approach to the study of Euclidean and non-Euclidean geometries, including incidence and affine geometries; designed especially for students preparing to teach. Prerequisites: MATH 209, 221. 3 Hrs.
MATH 311 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 221. 3 Hrs.
MATH 343 Number Theory The structure of the integers and rational numbers and integer solutions of various types of equations; algorithms and theorems relating to the properties of division, the factorization of integers into primes and the rational approximation of irrational numbers. Prerequisites: MATH 209, 221. 3 Hrs.
MATH 401 Modern Algebra 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 405 Introduction to Probability & Mathematical Statistics Introductory study of probability as a mathematical system. Topics include set theory and probability, conditional probability, random variables and distributions, expectation, and special discrete and continuous probability distributions. Prerequisites: MATH 209, 221. 3 Hrs.
MATH 409 Numerical Analysis Roots of algebraic and transcendental equations, the numerical solution of differential equations, initial value problems for ordinary differential equations and approximation theory. Prerequisite: MATH 311. 3 Hrs.
MATH 415 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 209, 221. 3 Hrs.
MATH 417 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 415. 3 Hrs.
MATH 430 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. Prerequisite: One year of college mathematics. 1, 2, 3 or 4 Hrs.
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 advanced students with permission of the instructor. 1, 2 or 3 Hrs.
MATH 496 Senior Seminar Preparation Each senior will be assigned an advisor from the mathematics faculty, with whose guidance the senior will read in a mathematical area and select the topic for a paper to be written in the spring semester. A grade of K will be assigned for MATH 496 until MATH 497 has been completed. Prerequisite: Senior standing. Fall semester only. 1 Hr.
MATH 497 Senior Seminar Each senior will complete the paper for which preparatory work was done during the fall semester. The paper will be presented in the senior seminar and a written version of the paper may be housed in the library. Prerequisite: MATH 496. Spring semester only. 2 Hrs.
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