- 50. CALCULUS I - 4 hrs.Analytic geometry concepts; functions; continuity; limits; differentiation; applications of derivatives; definite integrals; techniques of integration. Enrollment limited to 20.
17. SPIRIT OF MATHEMATICS - 3 hrs.
The nature of the topics will vary but will expose students to a wide variety of mathematics. Topics from advanced mathematics will be included but will be presented at a level appropriate to college students who do not have an extensive mathematical background. Topics considered for current versions of the course include financial mathematics, fractals, chaos, environmental mathematics, conceptions of space, the nature of infinity, encryption techniques and topics from the history of mathematics. Among the mathematical techniques that will be used: functions and equations (exponential, linear and quadratic); difference equations; equation solving techniques (algebraic and technological); problem solving and mathematcal reasoning techniques; basic probability and statistics; graphical analisys; geometrical analisys; the concept of infinity.
Prereq.: None.
20. COLLEGE ALGEBRA - 4 hrs.
Study of linear, exponential, power, logarithmic, and polynomial functions from an algebraic, graphical and numerical point of view; fitting functions to data; review of trigonometry; solutions to equations and systems of equations..
Prereq.: Completion of high school mathematics through Algebra II/Trigonometry.
25. STRUCTURE OF MATHEMATICS FOR ELEMENTARY EDUCATION I - 3 hrs.
Basic concepts and structure of arithmetic, algebra, geometry, statistics, probability and measurement as they relate to the K-6 curriculum. Restricted to elementary education majors.
Prereq.: MATH 20 or equivalent or successful completion of an algebra course within the past year.
26. STRUCTURE OF MATHEMATICS FOR ELEMENTARY EDUCATION II - 3 hrs.
A continuation of MATH 25.
Prereq.: MATH 25.
28. BUSINESS CALCULUS - 3 hrs.
Brief algebra review, data analysis, limits, derivatives, integration, applications to business.
Prereq.: MATH 20 or equivalent.
45. MATHEMATICS AND TECHNOLOGY - 3-4 hrs.
Selected content from the elementary and secondary school mathematics curricula and the application of technology in teaching this material. Restricted to education majors.
Prereq.: MATH 20 or equivalent, or consent of instructor.
50-70-100. CALCULUS I, II AND III - 4 hrs.
Functions; continuity; limits; differentiation; applications of derivatives; definite integrals; techniques of integration; applications of definite integrals; infinite series; plane curves; limits, continuity and differentiation for functions of several variables; multiple integrals.
Prereq.: MATH 20 or equivalent and exposure to trigonometry for MATH 50; MATH 50 for MATH 70; and MATH 70 for MATH 100.
50. CALCULUS I - 4 hrs.
Analytic geometry concepts; functions; continuity; limits; differentiation; applications of derivatives; definite integrals; techniques of integration.
Prereq.: MATH 20 or equivalent and exposure to trigonometry.
- 50. CALCULUS I - 4 hrs.
Analytic geometry concepts; functions; continuity; limits; differentiation; applications of derivatives; definite integrals; techniques of integration. Enrollment limited to 20.
Prereq.: MATH 20 (or a solid high school pre-calculus course with exposure to logarithms and trigonometry) and permission of instructor.
54. INTRODUCTION TO DISCRETE MATHEMATICS - 3 hrs.
Number systems, algorithms, sets, logic, Boolean algebra, functions, combinatorics, probability, graph theory.
Prereq.: MATH 20 or equivalent.
70. CALCULUS II - 4 hrs.
See course description for MATH 50-70-100 above.
80. LINEAR ALGEBRA - 3 hrs.
Systems of linear equations; vectors, linear independence, linear transformations; matrix operations, inverse of a matrix, determinants; null and column space of a matrix, rank; general vector spaces, basis of a vector space, dimension; eigenvalues and eigenvectors, diagonalization, orthogonality; applications.
Prereq.: MATH 50.
- 80. LINEAR ALGEBRA - 3 hrs.
Systems of linear equations; vectors, linear independence, linear transformations; matrix operations, inverse of a matrix, determinants; null and column space of a matrix, rank; general vector spaces, basis of a vector space, dimension; eigenvalues and eigenvectors, diagonalization, orthogonality; applications. Enrollment limited to 20.
Prereq.: MATH 50 and permission of instructor.
99. INDEPENDENT STUDY - 1-3 hrs.
Directed individual study in areas related to the student's needs or interest.
Prereq.: Consent of department.
100. CALCULUS III - 4 hrs.
See course description for MATH 50-70-100 above.
101. MATHEMATICAL REASONING - 3 hrs.
Logic; sets and mappings; methods of proof including direct and indirect proofs, induction, Delta-Epsilon arguments; axiomatic systems.
Prereq.: MATH 70, 80. Note: This course is a prereq. for MATH 150, 153, 155, 157, 176, 184 and 187.
110. MULTIVARIATE CALCULUS - 3 hrs.
Properties of continuous mappings from Rn to Rm, differential forms, vector calculus. Line integrals. Stokes' theorem.
Prereq.: MATH 80, 100.
120. APPLIED DIFFERENTIAL EQUATIONS I - 3 hrs.
Ordinary differential equations; systems of differential equations. Fourier series, integrals and harmonic analysis, partial differential equations, orthogonal functions. Bessel functions. Legendre functions.
Prereq.: MATH 80, 100.
121. APPLIED DIFFERENTIAL EQUATIONS II - 3 hrs.
Continuance of MATH 120.
Prereq.: MATH 120.
125. MATHEMATICAL MODELING - 3 hrs.
The construction, analysis and interpretation of mathematical models. Examples are drawn from a variety of areas. Student projects are required.
Prereq.: MATH 70, 80.
127. INTRODUCTION TO GAME THEORY - 3 hrs.
Game Theory is the logical analysis of situations of conflict and cooperation. Topics will include zero-sum games and non-zero-sum two-person games, n person games, applications to economics, politics and nature.
Prereq.: MATH 28 or MATH 50 or consent of instructor.
131. INTRODUCTION TO PROBABILITY I (STATISTICS 131) - 4 hrs.
An introduction to probability concepts, including definition of probability: independence; conditional probability; independence; random variables; specific discrete and continuous probability distributions; multivariate random variables; moments and moment generating functions; functions of random variables; sampling distributions; and central limit theorem.
Prereq.: MATH 80, 100.
132. INTRODUCTION TO PROBABILITY II (STATISTICS 132) - 3 hrs.
Continuation of MATH 131. Specific probability models covered include Markov chains; the Poisson process and its relation to the exponential distribution; continuous-time Markov chains; and Brownian motion. Techniques of simulating probability models are also covered.
Prereq.: MATH 131.
140. COOPERATIVE EDUCATION - 1-3 hrs.
Students who are in a work environment related to the major field of study may receive credit for applications of classroom knowledge to their job. The student meets regularly with the adviser to determine appropriate assignments. May be repeated up to a maximum of eight hours of credit. (Graded on a credit/no credit basis).
Prereq.: At least junior standing or consent of instructor.
144. TOPICS IN MATHEMATICS FOR ELEMENTARY TEACHERS - 3 hrs.
Topics for elementary school teachers, such as introduction to new or established curricular materials, development of classroom materials, and other topics appropriate for introduction to the elementary school mathematics curriculum.
Prereq.: MATH 25 or permission of instructor.
145. METHODS OF TEACHING SECONDARY SCHOOL MATHEMATICS - 3 hrs.
Instructional strategies and materials for teaching secondary school mathematics. Restricted to secondary education majors.
Prereq.: Consent of instructor.
150. DISCRETE STRUCTURES (COMPUTER SCIENCE 150) - 3 hrs.
The course covers subjects in discrete mathematics with applications to computer science. Topics include algorithms, graph theory and combinatorics.
Prereq.: CS 65 and MATH 101.
153. MODERN GEOMETRY - 3 hrs.
A rigorous approach to Euclidean and non-Euclidean geometries from a general, axiomatic point of view.
Prereq.: MATH 101.
155. INTRODUCTION TO ABSTRACT ALGEBRA I - 3 hrs.
Introduction to groups, rings, integral domains and fields; homomorphisms and isomorphisms; properties of the integers; polynomial rings and factorization; field extensions.
Prereq.: MATH 101.
156. INTRODUCTION TO ABSTRACT ALGEBRA II - 3 hrs.
Continuance of MATH 155.
Prereq.: MATH 155.
157. HISTORY OF MATHEMATICS - 3 hrs.
An overview of the evolution of mathematics from ancient times through Newton and Leibniz. The conceptual development of mathematics will be emphasized.
Prereq.: MATH 101.
165. INTRODUCTION TO NUMERICAL ANALYSIS (COMPUTER SCIENCE 165) - 3 hrs.
Error analysis, iterative methods for solving nonlinear equations, direct and iterative methods for solving linear systems, approximation of functions, derivatives, integrals.
Prereq.: CS 65, MATH 80 and 100.
176. ADVANCED LINEAR ALGEBRA - 3 hrs.
Hermitian, unitary, normal, positive definite and nonnegative matrices; LU, QR and Choleski factorizations; equivalence, similarity, congruence and their respective canonical forms; norms; Schur triangular form, Jordan canonical form; applications.
Prereq.: MATH 101.
184. INTRODUCTION TO REAL ANALYSIS I - 3 hrs.
Algebraic and topological properties of the real line. Limits, continuity, differentiation. Riemann integration, series.
Prereq.: MATH 100, 101.
185. INTRODUCTION TO REAL ANALYSIS II - 3 hrs.
Continuance of MATH 184.
Prereq.: MATH 184.
187. COMPLEX ANALYSIS - 3 hrs.
Algebraic and topological properties of the complex plane. Theory of analytic functions. Applications.
Prereq.: MATH 100, 101.
195. TOPICS IN THE MATHEMATICAL SCIENCES - 1-4 hrs.
Seminars in selected topics.
Prereq.: Consent of instructor.
199. INDEPENDENT STUDY - 1-3 hrs.
Directed individual study in areas related to the student's needs or interest.
Prereq.: Consent of department.
230. INDEPENDENT STUDY - 1-3 hrs.
245. TOPICS FOR SCHOOL MATHEMATICS - 3 hrs.
Seminars in selected topics.
Prereq.: Consent of instructor.