Mathematics Course Descriptions

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MATH 105   Finite Mathematics   3 Credit Hours
Prerequisites: Two years of high school algebra
An introduction to finite mathematics with an emphasis on applications and formulation of problems in mathematical language. Topics include matrices, linear programming, financial models, probability, and statistics. The course includes work using a computer software package.

MATH 106   Applied Calculus I   3 Credit Hours
Prerequisite: Two years of high school algebra
An introduction to the calculus of polynomials, exponential, and logarithmic functions with an emphasis on applications to business and the life and social sciences. Students may not receive credit for both MATH 106 and MATH 131.

MATH 107   Applied Calculus II   3 Credit Hours
Prerequisite: MATH 106
Required for B.A. degree in chemistry and B.S. degree in biology.
A continuation of the calculus introduced in MATH 106. Topics include techniques of integration, applications of integrals, improper integrals, partial derivatives and applications, and a brief introduction to double integrals.

MATH 119   College Algebra and Trigonometry    4 Credit Hours
A modern treatment of the essential topics of college algebra and trigonometry. The course involves work using a graphics calculator. Offered for students whose mathematics requirement begins with calculus and whose background has been determined by the Department of Mathematics and Computer Science to be inadequate. Credit hours earned in MATH 119 may not be applied towards meeting the mathematics core requirement.

MATH 131   Analytic Geometry and Calculus I    4 Credit Hours
Prerequisite: One of MATH 119 with a grade of "C" or better, a satisfactory score on the placement exam, or approval of the department head.
Required for B.S. degrees in chemistry, computer science, civil and electrical engineering, education (mathematics), mathematics, and physics and for the B.A. degree in mathematics.
Limits, derivatives, applications of the derivative, antiderivatives and definite integrals.
Students who complete MATH 131 and change to a major which does not require MATH 132 must complete one additional MATH course. NOTE: Students may not receive credit for both MATH 106 and MATH 131.

MATH 132   Analytic Geometry and Calculus II    4 Credit Hours
Prerequisite: MATH 131 with a grade of "C" or better or HONR 107 with a grade of "C" or better
Required for B.S. degrees in chemistry, computer science, civil and electrical engineering, education (mathematics), mathematics, and physics and for the B.A. degree in mathematics.
Applications of the integral, transcendental functions, techniques of integration, series and sequences of real numbers, Taylor series, and power series.

MATH 206   Introduction to Discrete Structures    3 Credit Hours
Prerequisite: One semester of calculus
Required for B.S. degrees in computer science and mathematics and for the B.A. degree in mathematics.
Set algebra including relations and functions, propositional and predicate logic, combinatorics, graphs, and applications of these to various areas of computer science.

MATH 231   Analytic Geometry and Calculus III    4 Credit Hours
Prerequisites: MATH 132 or HONR 108
Required for B.S. degree in chemistry, engineering, mathematics, and physics and for the B.A. degree in mathematics.
The analytical geometry of two and three dimensions, the differential and integral calculus of functions of two or more variables, and vector differential calculus.

MATH 234   Applied Engineering Mathematics I    4 Credit Hours
Prerequisite: MATH 132
Required of BA math, BA chemistry, civil engineering, electrical engineering and physics majors.
An integrated course in linear algebra and differential equations. Topics include differential equations of the first order and degree, linear differential equations of higher order, systems of differential equations, the Laplace transform, vector spaces, bases, linear transformations, systems of linear equations, algebra of matrices, and determinants.

MATH 240   Linear Algebra   3 Credit Hours
Prerequisite: MATH 132 or MATH 107 or HONR 108
Required for B.S. degrees in computer science and mathematics and for the B.A. degree in mathematics.
Systems of linear equations, algebra of matrices, inverses, determinants, vector spaces with emphasis on Euclidean vector spaces, bases, subspaces, transformations, eigenvalues and eigenvectors, and quadratic forms.

MATH 303   Modern Algebra I   and      
MATH 304   Modern Algebra II   3 Credit Hours Each Semester
Prerequisites: For MATH 303: MATH 206 and MATH 240. For MATH 304: MATH 303.
MATH 303 is required for B.S. degrees in mathematics and education (mathematics) and for the B.A. degree in mathematics.
MATH 304 is an Approved (Mathematics) Elective for B.S. mathematics students in the pure mathematics option.
A two-semester sequence in the algebraic structures which lie at the foundations of many areas of modern mathematics. Topics chosen from theory of groups, rings, integral domains, and fields, coding theory, Galois theory, modules, and Euclidean constructions.

MATH 305   Modern Geometry   3 Credit Hours
Prerequisite: MATH 132 or MATH 107 or HONR 108
Special topics from axiomatic geometries. Topics include Euclidean geometry, projective geometry, non-Euclidean geometry, and metric projective geometry.

MATH 335   Applied Engineering Mathematics II    3 Credit Hours
Prerequisite: MATH 231 and one of MATH 232 or MATH 234
Required for all electrical engineering and physics majors.
Advanced topics in differential equations and multi-dimensional calculus. Topics include power series solutions of differential equations, line and surface integrals, Fourier series, vector integral calculus, special functions, and an introduction to partial differential equations.

MATH 343   Applied Numerical Methods I    3 Credit Hours
Prerequisites: MATH 240 or MATH 234 and a knowledge of a programming language
Required of BS mathematics students in applied mathematics option.
An introduction to numerical methods. Topics include floating-point computation, finding zeros of functions, direct methods for solving systems of linear equations, interpolation, and numerical differentiation and integration.

MATH 344   Applied Numerical Methods II    3 Credit Hours
Prerequisite: MATH 343 and one of MATH 232 or MATH 234
Required of BS mathematics students in applied mathematics option.
A further study of numerical methods. Topics include approximation, numerical solutions of ordinary differential equations, iterative methods for solving systems of linear equations, eigenvalue problems, and error analysis.

MATH 381   Deterministic Methods of Operations Research   3 Credit Hours
Prerequisites: Two semesters of calculus and one of MATH 240 or MATH 234
Required for B.S. mathematics students in applied mathematics option.
The theory and applications of deterministic models of operations research. Topics include linear programming and the simplex algorithm, transportation and assignment problems, game theory, graphs and network flows, dynamic programming, and sensitivity analysis.

MATH 382   Probabilistic Methods of Operations Research   3 Credit Hours
Prerequisites: Two semesters of calculus and one semester of statistics
The theory and applications of probabilistic models of operations research. Topics include queuing models, birth and death processes, finite-state markov chains, inventory theory, forecasting, simulation, decision analysis, and reliability.

MATH 403   Introduction to Analysis I and II  
MATH 404   3 Credit Hours Each Semester
Prerequisite: MATH 231
MATH 403 is required for B.S. degree in mathematics.
MATH 404 is an Approved (Mathematics) Elective for B.S. mathematics students in the pure mathematics option.
Sets, functions, properties of the ordered field of real numbers, topology of the reals, sequences and series, continuity, differentiation, integration, and sequences and series of functions.

MATH 405   Mathematical Statistics    3 Credit Hours
Prerequisites: MATH 132 and STAT 361
Axioms of probability, combinatorial probability, random variables, distribution functions, law of large numbers, central limit theorem, estimation, maximum likelihood methods, hypothesis testing, confidence intervals, and non-parametric methods.

MATH 411   Number Theory   3 Credit Hours
Prerequisite: MATH 132 or MATH 107 or HONR 108
The Euclidean algorithm, prime and composite integers, elementary Diophantine equations, Pythagorean triples, Euler's phi-functions, congruences, Euler-Fermat theorems, exponents and primitive roots, and quadratic residues.

MATH 412   History of Mathematics    3 Credit Hours
Prerequisite: MATH 132 or MATH 107 or HONR 108
A survey of the concepts and methods of mathematics from the time of the ancients to the present. The course includes a research paper on some major mathematician or body of mathematics.

MATH 422   Complex Variables   3 Credit Hours
Prerequisite: MATH 231
Topics from complex function theory: complex differentiation and integration, Cauchy theorem, complex series and uniform convergence, harmonic functions.

MATH 470   Mathematical Models and Applications    3 Credit Hours
Prerequisite: MATH 232 or 234
Required for B.A. degree in mathematics and B.S. mathematics students in applied mathematics option.
An introduction to the theory and practice of building and analyzing mathematical models for real world situations encountered in the social, biological, and environmental sciences.

MATH 480   Readings in Mathematics    3 Credit Hours
Prerequisite: Permission of the instructor
Directed reading on assigned topics in mathematics. The course includes weekly conferences with the instructor and a formal paper. Since the content of the course may change, a student may repeat the course for credit with the consent of the department head.

MATH 490   Topics in Mathematics   3 Credit Hours
Prerequisite: Permission of the instructor
Selected topics in mathematics. The offering of this course will depend upon the interest of the students, the availability of an instructor, and approval of the department head. Since the content of the course may change, a student may repeat the course for credit with the consent of the department head.

MATH 492   Senior Seminar in Mathematics    1 Credit Hour
Required of all mathematics majors. Open only to seniors.
Important topics in mathematics will be studied and the results presented.

MATH 499   Senior Research Project    3 Credit Hours
Prerequisite: exceptional ability and background and approval of department head
A research project with a required formal paper. Recommended for students planning graduate work. Approval for enrollment based on the acceptance of a written proposal by the instructor and approval of the department head.