Mathematics (B.A., B.S.)

An introduction to calculus of a single variable. Topics include limits, continuity, differentiation, and beginning integration with applications. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Math ACT score of at least 27 or a grade of "C" or better in MATH 1470 Trigonometry or MATH 1400 Pre-Calculus.
(Normally offered each semester.)

A continuation of MATH 1600 Calculus I. Topics studied include integration techniques and applications, differential equations, numerical approximations, sequences and series, and vectors. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of the department chair or grade of "C" or better in MATH 1600 Calculus I.
(Normally offered each semester.)

A study of mathematical induction and other methods of proof, recursion, formal logic, and set theory.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II or permission of the instructor.
(Normally offered each spring semester.)

An introduction to multivariable calculus. Topics include vector-valued functions, functions of several variables, partial differentiation, multiple integrals, and analysis. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of department chair or grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each fall semester.)

A study of vector spaces, determinants, linear transformations, matrices, and matrix equations, and their applications in the natural and social sciences.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each spring semester.)

Elementary mathematical theory and applications of basic probability to statistics. Topics studied include random variables, both discrete and continuous, and their probability distributions with appliations of a practical nature to numerous fields. Also studied are multivariate probability distributions.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered fall of even-numbered years.)

A seminar on problem solving skills and their application to nontrivial problems. Students will be required to take the Putnam Exam. May be repeated.
Prerequisite(s): Grade of "C" or better in MATH 2200 Introduction to Higher Mathematics or permission of the instructor.
(Normally offered each fall semester.)

An introduction to the numerical approximation of solutions of various types of problems. Topics include root-finding, interpolation and numerical differentiation, and integration. Additional topics may be drawn from numerical solutions of ordinary differential equations and linear systems.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered fall of odd-numbered years.)

A course that explores applications of mathematics to real-world problems. One or more topics may be chosen from the non-inclusive list: dynamical systems, linear programming, queueing theory, game theory, numerical analysis, wavelets, coding theory, and partial differential equations. Computer-based exercises will be a component of the course.

A study of various algebraic systems arising in modern mathematics, such as groups and rings.
Prerequisite(s): Grades of "C" or better in MATH 2200 Introduction to Higher Mathematics and any 3000-level  or 4000-level mathematics course.
(Normally offered fall of even-numbered years.)

A formal approach to limits, continuity, differentiation, and integration with emphasis on the proofs of theorems. Additional topics may include topology, uniform continuity, and uniform convergence.
Prerequisite(s): Grade of "C" or better in MATH 2200 Introduction to Higher Mathematics and MATH 2600 Calculus III.
(Normally offered spring of even-numbered years.)

See CMPSC 3000 Formal Languages and Automata.

A study of ordinary differential equations. Topics include first and higher order, and linear and nonlinear differential equations with applications. Additional topics may be chosen from systems of differential equations, transform techniques, and numerical methods. Use will be made of a computer algebra system.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.
(Normally offered each spring semester.)

A continuation of MATH 3300 Mathematical Statistics I, with further applications of probability theory to statistical problems of estimation and hypothesis testing, including least squares estimation and correlation. Also studied is analysis of variance with numerous applications of this technique.
Prerequisite(s): Grade of "C" or better in MATH 3300 Mathematical Statistics I.

A study of fundamental concepts in number theory, including divisibility and factorization of integers, linear and quadratic congruences, the quadratic reciprocity theorem, Diophantine equations, number-theoretic functions, and continued fractions. Additional topics may include Euler's theorem and cryptography, perfect numbers and Mersenne primes, Pythagorean triples, and Fermat's Last Theorem.
Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.

Selected topics from Euclidean and non-Euclidean geometry, geometry as a mathematical structure, and geometry as a study of invariants of set transformations.
Prerequisite(s): Grade of "C" or better in MATH 2200 Introduction to Higher Mathematics.
(Normally offered fall of odd-numbered years.)

A topical course designed to investigate relevant subject matter not included in any standard courses. The title and the content will be determined by current mutual interests of students and faculty. This course may be offered to meet a requirement for a major only by approval of the department chair.

A topical course designed to investigate relevant subject matter not included in any standard courses. The title and the content will be determined by current mutual interests of students and faculty. This course may be offered to meet a requirement for a major only by approval of the department chair.

A continuation of MATH 4200 Abstract Algebra I. More study of groups, rings, and fields. Additional topics may be drawn from modules and finite fields.
Prerequisite(s): Grade of "C" or better in MATH 4200 Abstract Algebra I.

A study of topics of special interest in mathematics. Students will be required to make at least three presentations including individual study of a specific mathematics topic under the supervision of the faculty.
Prerequisite(s): Major in mathematics, senior standing, grade of "C" or better in either MATH 4200 Abstract Algebra I or MATH 4300 Real Analysis, and permission of the instructor.
(Normally offered each spring semester.)

Students work with one or more regular teachers in a secondary school. They attend the student teaching seminar and conference with their college supervisor as directed.
Prerequisite(s): Completion of preliminary student teaching requirements or approval of the department chair.

A disciplined approach to the development of programs to solve problems on a computer. Topics include data types, control structures, abstraction, and software development. A lab component introduces a high-level programming language and software tools.
Corequisite(s): CMPSC 1000 Introduction to Computational Problem Solving or permission of the instructor.
(Normally offered each spring semester.)