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Mathematics Courses

MATH 1034 Introduction to Contemporary Mathematics
A survey of mathematical ideas that are important in contemporary applications of mathematics. The primary aim is to develop conceptual understanding and appreciation, not necessarily computational expertise. The course will assume only basic ability in arithmetic, geometry, and elementary algebra. I Mathematics

MATH 1144 Elementary Statistics
Emphasis on applied statistics. Included are topics related to data collection (random sampling and experimental design), organizing and describing data (histograms, mean, standard deviation, correlation, and least squares regression), probability theory (finite probability and the normal distribution), and inferential statistics (confidence intervals and tests of significance). I Mathematics

MATH 1214 Functions
The function concept and elementary functions important in mathematics and its applications. Included are the general theory of functions and graphing, polynomial and algebraic functions, logarithmic and exponential functions, trigonometric functions, topics from analytic geometry, and polar coordinates. Credit is not allowed for this course if the student has college credit for calculus.

MATH 1304 Calculus I
Topics on limits and continuity; derivatives and integrals of algebraic, logarithmic, exponential, and trigonometric functions; applications of differentiation; the differential and anti-differentiation, and the definite integral. Laboratory. I Mathematics.

MATH 1324 Calculus II
Topics on applications of the definite integral; techniques of integration; polar coordinates; indeterminate forms, improper integrals; and infinite series. Prerequisite: A grade of C- or better in MATH 1304. I Mathematics

MATH 2084 Differential Equations
Standard methods of solving ordinary differential equations, singular solutions, simultaneous differential equations, special second-order differential equations, and applications to geometry, mechanics, and physics. Prerequisite: MATH 1324. IV

MATH 2094 Special Topics in Mathematics
Current topics in any field of mathematics atthe sophomore level may be offered when there is demand. May be taken for credit more than once. Prerequisites: Determined by topic. May not be chosen as a major or minor pattern elective in mathematics. IV

MATH 2144 Calculus III
A continuation of MATH 1324. Topics on vectors in the plane and in three dimensional space, calculus of functions of several variables, partial derivatives, multiple integration and vector calculus. Prerequisite: A grade of C- or better in MATH 1324. IV

MATH 2204 Linear Algebra
Systems of linear equations and their solution, theory of matrices, linear transformations, characteristic values, and inner product spaces. Prerequisite: MATH 1324 or Permission of instructor. IV

MATH 2504 The Mathematician’s Toolkit
What do mathematicians do? How is mathematics done? This course explores these questions via an introduction to the mathematical habits of mind and abstract reasoning requisite for the study of mathematics. Core mathematical concepts such as sets, elementary logic, proof techniques, functions and relations, cardinality and counting are studied. Serving as a transition course, the content and philosophy of the course are designed to introduce students to the type of mathematics encountered in upper-level courses. Prerequisite: Math 1324 or permission of instructor. Math majors are strongly encouraged to take this course during their first two years. IV

MATH 3014 Modern Geometry
A survey of modern geometry using both synthetic and analytic points of view. Topics include axiomatics, finite geometries, Euclidean geometry, non-Euclidean geometry, transformational geometry, and geometric constructions. Prerequisite: MATH-2504 or Permission of instructor. IV

MATH 3024 Theory of Numbers
Integers, unique factorization, linear Diophantine equations, congruences, Fermat’s and Wilson’s theorems, divisors, perfect numbers, Euler’s theorem and function, primitive roots and indices, quadratic congruences, numbers in other bases, Pythagorean triangles, and sums of two squares. Prerequisite: Permission of instructor. IV

MATH 3094 Special Topics in Mathematics
Topics such as topology, differential geometry, complex variables, advanced differential equations, and operations research are offered when there is demand. May be taken for credit more than once. Prerequisite: Determined by topic. May be chosen as a major pattern elective in mathematics or teaching mathematics. IV

MATH 3114 Higher Analysis
Continues the study of calculus to limits, continuous functions, bounded functions, intermediate value theorem, Taylor’s formula and L’Hompital’s rule, vectors and their application, Cauchy’s generalized law of the mean, functions of several variables, and partial differentiation. Prerequisite: MATH 2504 or permission of instructor. IV

MATH 3134 Probability and Statistics
Combinatorial analysis; axioms of probability; discrete and continuous random variables; expectations; estimation, maximum likelihood and unbiased estimators; statistical hypotheses and statistical tests; and regression. Prerequisite: MATH 2144. Suggested for mathematics majors; may be taken as a major pattern elective in teaching mathematics. IV

MATH 3224 Abstract Algebra
An axiomatic approach to the number system, general algebraic systems, groups, rings, integral domains, and fields. Prerequisite: Take MATH 2504 or Permission of instructor. IV

MATH 3304 Numerical Analysis
An investigation of numerical methods for computer solutions of applied problems. Topics include review of calculus, round-off errors and computer arithmetic, solutions of equations in one variable, interpolation and polynomial approximation, approximation theory, numerical differentiation, and integration. Prerequisite: MATH 1324 or permission of instructor. Also listed as CS 3304. IV

MATH 4204 Mathematics Internship
A course offering students supervised instruction in a non-classroom setting. May not be used to meet the requirements for a mathematics major. CR/NC grading. Prerequisites: Junior or senior status and permission of mathematics program director.

MATH 4214 Independent Study
Readings on an approved topic. May be repeated once for credit. Standard or CR/NC grading. Prerequisites: Determined by topic. Major pattern elective in mathematics.

MATH 4294 Senior Seminar
Senior Seminar is the capstone course for the mathematics major. The course will encourage students to explore important mathematical ideas through the use and integration of previous mathematical courses and a variety of mathematical techniques. The course will include opportunities for students to read mathematical papers, write mathematics - both careful proofs as well as exposition - and to make mathematical presentations. The specific topics covered will be determined by the instructor.

MATH 4314 Honors in Mathematics
A topic, chosen by the student in consultation with a professor, is studied in depth. Will use library facilities for research. All work will be independent. May be taken for credit more than once. Prerequisites: Determined by topic.

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