MATH 100 - College Mathematics
Prerequisite: Placement Test
A sufficient score on the placement exam will result in placement in MATH 101X (Calculus I) or MATH 101 (Calculus I). For students without advanced credit or transfer credit for MATH 101, failure to take the placement exam will result in placement in MATH 100. Minimum class standing: FR
A study of functions and their algebra and graphs. Special functions of engineering and science are emphasized, including polynomial, trigonometric, and exponential functions and their inverses. Concepts and methods of algebra, trigonometry, and analytic geometry important to calculus are also emphasized. Terms Offered: All
MATH 101 - Calculus I
Prerequisite: MATH-100, MATH-100X or sufficient
score on placement test Minimum class standing: FR
An introduction to the theory and techniques of differentiation of polynomial, trigonometric, exponential, logarithmic, hyperbolic, and inverse functions of one variable. Also included are limits, continuity, derivative applications and interpretations. Computer software will be used to aid in understanding these topics. Terms Offered: All
MATH 101X - Calculus I
Prerequisite: MATH-100
Minimum class standing: FR
This course is for students showing a lack of proficiency in algebra and trigonometry on the placement examination. The course contains the same material as MATH 101, but in addition, includes a review of algebraic expressions, trigonometric functions and their inverses, and analytic geometry. Computer software will be used to aid in understanding the topics. Terms Offered: Summer, Fall
MATH 102 - Calculus II
Prerequisite: MATH-101 or MATH-101X
Minimum Class Standing: FR
Riemann integration and the Fundamental Theorem of Calculus, including applications to area, volume, etc., and basic methods for conversion of integrals including change of variable, substitutions, partial fractions, integration by parts, improper integrals and numerical integration. Also introduced are sequences and series in one variable with emphasis on Taylor Series. Computer software will be used to aid in understanding these topics. Terms Offered: All
MATH 102H - Calculus II - Honors
Prerequisite: MATH-101 or MATH-101X
Minimum Class Standing: FR1
Riemann integration and the Fundamental Theorem of Calculus. Evaluation of areas and volumes. Basic methods for evaluation of integrals including substitutions, partial fractions, integration by parts, and numerical integration. Improper integrals. Sequences and series in one variable. Taylor Series. Proofs of the basic theorems concerning integrals and series. Terms Offered: All
MATH 203 - Multivariate Calculus
Prerequisite: MATH-102
Minimum Class Standing: FR
A study of polar coordinates, parametric equations, and the calculus of functions of several variables with an introduction to vector calculus. Topics include surface sketching, partial derivatives, gradients, differentials, multiple integrals, cylindrical and spherical coordinates and applications. Computer software will be used to aid in understanding these concepts. Terms Offered: All
MATH 204 - Diff Eq and Laplace Transforms
Prerequisite: MATH-203
Minimum Class Standing: FRI
An introduction to the principles and methods for solving first order, first degree differential equations, and higher order linear differential equations. Includes a study of the Laplace transform and its application to the solution of differential equations. Also included is an introduction to Fourier series. Existence and uniqueness theorems for O.D.E.'s are also discussed. Terms Offered: All
MATH 205 - Appl Probability & Statistics
Prerequisite: MATH-203
Corequisite: The student may take MATH-203 as a corequisite but must have permission from the instructor. Minimum Class Standing: SO
A study of the basic concepts and methods of probability and statistics. Topics covered include sample spaces, counting techniques, laws of probability, conditional probability, and dependence and independence. Broad variety of discrete and continuous distributions are studied, including moment generating functions. Functions of random variables are considered. The central limit theorem and sampling distributions are applied to point and interval parameter estimation. Broad aspects of testing statistical hypotheses for a simple population are included. Some applied statistical techiques are practiced with a statistical package. Terms Offered: Winter, Spring
MATH 305 - Numerical Methods & Matrices
Prerequisite: MATH-204
Minimum Class Standing: SOII
An introduction to numerical methods including the study of iterative solutions of equations, interpolation, curve fitting, numerical differentiation and integration, and the solution of ordinary differential equations. An introduction to matrices and determinants; application to the solution of linear systems. Terms Offered: All
MATH 307 - Matrix Algebra
Prerequisite: MATH-101
Minimum Class Standing: NA
A study of matrix concepts including such topics as basic algebraic operations, determinants, inversion, vector spaces, basis and dimension, solution of systems of linear equations, eigenvalues, and eigenvectors. Terms Offered: All
MATH 308 - Abstract Algebra
Prerequisite: MATH-307
Minimum Class Standing: SO I
Topics will include: congruence classes, modular arithmetic, groups, subgroups, normal subgroups, Lagrange's theorem, rings, subrings, ideals, quotient rings, isomorphisms and homomorphisms, polynomial arithmetic, fields, divisors, factorization, and proofs of the main theorems. Terms Offered: Summer, Fall
MATH 313 - Boundary Value Problems
Prerequisite: MATH-204
Minimum Class Standing: SOII
An introduction to linear partial differential equations (PDE's) and the basic techniques of applied mathematics used to solve initial, boundary value problems associated with these equations. Topics include: derivation of some of the fundamental PDE's' and boundary conditions that arise in science and engineering; Fourier series; Sturm-Liouville systems including eigenvalues, eigenfunctions and eigenfunction expansions; the separation of variables technique; Fourier transforms. Applications to problems of science and engineering will be given throughout the course. Terms Offered: Summer, Fall
MATH 317 - Advanced Matrix Theory
Prerequisite: MATH-307
Minimum Class Standing: JR
A study of theory and applications of matrix algebra including determinants, rank, linear transformations, characteristic values, functions of matrices, orthogonality, similarity, and other advanced topics. Terms Offered: As Needed
MATH 321 - Real Analysis I
Prerequisite: MATH-203
Minimum Class Standing: JR
A more advanced study of functions in one real variable including limits, uniform continuity, differentiation, integration, and sequences and series of functions; topology of R. Terms Offered: As Needed
MATH 327 - Mathematical Statistics I
Prerequisite: MATH-203
Corequisite: NA Minimum Class Standing: JR
A study of random variables and their distribution fuctions including expectations, transformations, moment generating functions, stochastic independence, and sampling distributions. Also, a study of order statistics and limiting distribution of sample mean. Terms Offered: Winter, Spring
MATH 328 - Methods of Applied Mathematics
Prerequisite: MATH-204
Minimum Class Standing: JRI
Topics from advanced calculus, dimensional analysis and scaling, perturbation and asymptotic methods, calculus of variations and integral equations. Applications of these tools to problems in engineering will be included. Terms Offered: Winter, Spring
MATH 408 - Probability and Statistics
Prerequisite: MATH-203
Minimum Class Standing: SOII
This is a course in engineering statistics. Fundamentals of probability are introduced together with examples of discrete and continuous random variables. Descriptive and inferential statistics for one and two populations is covered. Simple linear regression, one-way and two-way and DOE including factional designs is discussed. Elements of reliability and SPC are covered. The use of statistical software is a necessary part of this course. A brief introduction to MINITAB (a statistical package) is given. Terms Offered: All
MATH 412 - Complex Variables
Prerequisite: MATH-203
Minimum Class Standing: SO
An introduction of the theory of complex variables. Includes basic algebra of complex numbers, analytic functions and the Cauchy-Riemann equations, elementary transformations, complex integration, the Cauchy integral formulas, Taylor and Laurent series, and the theory of residues. Terms Offered: As Needed
MATH 416 - Vector Analysis
Prerequisite: MATH-203
Minimum Class Standing: SOII
An introduction to vector algebra and calculus including vector products, vector functions, and their differentiation and integration, gradients, line and surface integrals, conservative fields and potentials functions, Green's theorem, parametric equations, curvature, and curvilinear coordinates. Terms Offered: Winter, Spring
MATH 418 - Intrmd Differential Equations
Prerequisties: MATH-204, MATH-305
Minimum Class Standing: JRI
A study of systems of linear and nonlinear ordinary differential equations (ODE's). Systems of linear ODE's, matrix methods, variation of parameters, and perturbation methods and boundary layers, phase portraits and stability of nonlinear ODE's. Numerical methods for solving systems of ODE's will be presented and used to solve physical problems of applied mathematics and engineering. Terms Offered: Summer, Fall
MATH 420 - Mathematical Modeling
Prerequisites: MATH-204, MATH-205, MATH-305
Minimum Class Standing: JRI
A study of the process of translating real-world problems into mathematical models. Various methods of formulation and solution of models will be illustrated by practical examples. Terms Offered: Summer, Fall
MATH 421 - Real Analysis II
Prerequisites: MATH-317, MATH-321
Minimum Class Standing: JRII
An introduction to the study of real functions including metric spaces, normed linear spaces, Hilbert Spaces, and linear operators. Terms Offered: Winter, Spring
MATH 423 - Partial Differential Equations
Prerequisites: MATH-305, MATH-313
Minimum Class Standing: JRI
This course is a continuation of MATH-313. Topics include: Bessel's equation and Legendre's equation, boundary value problems in curvilinear coordinate systems, Green's functions for ordinary and partial differential equations. Applications to problems of science and engineering will be given throughout the course. Terms Offered: Winter, Spring
MATH 427 - Mathematical Statistics II
Prerequisite: MATH-327
Minimum Class Standing: JRI
A further study of statistics including point and interval estimation, sufficient statistics, Bayes estimates, UMP tests, likelihood ratio tests, goodness of fit tests, and an introduction to non-parametric methods. Regression Analysis and ANOVA models are included. Terms Offered: Summer, Fall
MATH 428 - Sampling Theory
Prerequisite: MATH-426
Minimum Class Standing: SRI
A study of sampling theory including probability sampling, simple random sampling, sample size estimates, stratified sampling, and cluster sampling. Terms Offered: Winter, Spring
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