MAT 111 College Mathematics
(annual) (formerly MAT 007)
An introductory course in mathematical
skills and techniques necessary for further collegiate study. This course
addresses fundamental principles of algebraic calculations such as operations
with signed numbers, exponents, negative exponents and operations with
fractions, verbal problems and solution of equations, graphical methods,
systems of linear equations.
Prerequisite: Placement by departmental
examination. 3 credits.
MAT 120 Pre-Calculus (annual)
(formerly MAT 100)
Functions, solution of equations
and systems of equations, the trigonometric functions and their graphs,
addition theorems and identities, logarithmic and exponential functions,
and elementary analytic geometry.
Prerequisite: MAT 111 or examination.
3 credits.
MAT 121-122 Calculus I, II
(annual) (formerly MAT 101-102)
Continuity, limits, differentiation,
and integration of polynomial, exponential, and trigonometric functions.
Applications to geometry, physics, and other areas.
Prerequisite: MAT 120 or examination.
4 credits each.
MAT 201-202 Advanced Calculus
(annual)
Continuation of MAT 121-122. Functions
of several variables, partial differentiation; vector algebra and analysis;
multiple integrals; infinite sequences and series; Taylor series and Fourier
series; elementary theory of ordinary differential equations; separation
of variables; linear equations with constant coefficients; and series solutions.
Prerequisite: MAT 122. 3 credits
each.
MAT 211 Linear Algebra (bi-annual
O)
Linear equations, matrices and
determinants; linear transformations; vector spaces; eigenvalues and eigenvectors;
similarity of matrices; canonical forms and invariant subspaces. 3 credits.
MAT 222 Introduction to Modern
Algebra (upon request)
Introduction to group, rings, and
fields, with examples. Polynomials, algebraic number fields, extension
fields and applications.
Prerequisite: MAT 122. 3 credits.
MAT 231 Probability Theory
(annual)
Probability density functions,
independence, conditional probability, Bayes theorem, the analysis of binomial,
exponential, Poesson, normal, and gamma distributions, applications of
the central limit theorem.
Prerequisite: MAT 122. 3 credits.
MAT 232 Quantitative Analysis
(annual)
Hypothesis testing, t-test, chi-square,
goodness of fit, contingency tables and correlation analysis, principles
of statistical inference, point correlation and regressor analysis.
Prerequisite: MAT 231. 3 credits.
MAT 240 Finite Mathematics
(annual)
Review of set algebra functions
and relations, Boolean algebra and applications, counting techniques and
elementary combinations, basic concepts of probability, theory of logic,
vectors and matrices, linear systems of equations, linear programming.
Prerequisite: MAT 120 or examination.
3 credits.
MAT 241 Mathematics for Computer
Majors (bi-annual)
Boolean algebra, switching circuits,
getting networks. Overview of theoretical computer science. Formal language
theory, computability, finite automata. Universal program and unsolvability.
Prerequisite: MAT 120. 3 credits.
MAT 261 Statistics for Social
Science Majors (annual) (formerly MAT 103)
Basic concepts in descriptive and
inferential statistics including measurement scales, frequency distributions,
measures of central tendency and distribution, correlation coefficients,
linear regression, probability theory, binomial distribution, and parametric
and non-parametric tests of significant differences.
Prerequisite: MAT 120 or MAT 240
or examination. 3 credits.
MAT 263 Operations Research
(bi-annual E) (formerly MAT
233)
Techniques in operations research:
deterministic and probablistic models, applications employing linear programming,
inventory models, queuing theory and game theory.
Prerequisite: MAT 240. 3 credits.
MAT 301-302 Foundations of Analysis
(bi-annual O)
The real numbers system: limits,
sequences, continuity, derivatives. Riemann and Stieltjes integral, infinite
series, implicit function theorem, and vector integral theorems.
Prerequisite: MAT 202. 3 credits
each.
MAT 331 Mathematics of Compound
Interest (annual)
(formerly Mathematics of Insurance)
Measurement of interest, simple
and compound interest, present value, rate of discount, varying interest,
time determination, equations of value; annuities, perpetuities, yield
rates, time-weighted rates, portfolio methods and investment year methods.
Amortization schedules and sinking funds; bonds, securities and other financial
instruments.
Prerequisite: MAT 121, Corequisite:
MAT 122. 3 credits.
MAT 333 Actuarial Mathematics
I (annual) (formerly Life Contingencies)
Survival distributions and life
tables; Life insurance calculations; Life annuities- continuous and discrete
annuities. Net premiums- fully continuous, fully discrete, apportionable
premiums. Net Premium Reserves.
Prerequisite: MAT 331. 3 credits.
MAT 334 Actuarial Mathematics
II (annual) (formerly Life Contingencies II)
Multiple Life Functions; Probabilities
and expectations, special mortality laws, simple contingent functions.
Multiple decrement models-two random variables, construction of multiple
decrement tables; valuation theory for pension plans; insurance models
including expenses; nonforfeiture benefits and dividends.
Prerequisite: MAT 333. 3 credits.
MAT 341-342 Numerical Methods
I, II (upon request)
I. An introduction to numerical
methods; elementary discussion of error, approximation, interpolation;
solutions of systems of linear equations, and linear and non-linear ordinary
differential equations;
II. Numerical integration and differentiation,
matrix inversion, evaluation of determinants, and calculation of eigenvalues
and eigenvectors, methods for solving partial differential equations. Prerequisite:
MAT 202 and 141 or permission of instructor.
3 credits each.
MAT 405-406 Methods Of Applied
Mathematics (upon request)
Vector and tensor analysis, special
functions, Fourier and Laplace transforms, perturbation and variational
methods, asymptotic expansions, and separation of variables applied to
the study of the basic equations of mathematical physics.
Prerequisite: MAT 202. 4 credits
each.
MAT 481-482 Independent Study
(upon request)
Prerequisites: Department and Dean's
Permission. Credits by arrangement.
MAT 493 Research Project in Mathematics
(annual)
Prerequisite: Senior status or
departmental permission. 3 credits.
MAT 494 Senior Honors Project
in Mathematics (upon request)
Prerequisites: MAT 493 and departmental
permission.