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Hours/Week
| Credit
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Class
| Lab
| Hours
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MATH-050 Precalculus
(Su,F,W,Sp) | 4 | 0
| 4
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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.
Note:
Credits for MATH-050 do not apply to degree
requirements. Also placement in MATH-050 may delay entry into courses for
which calculus is a prerequisite.
Prerequisite:
None.
A sufficient score on the placement exam will result in placement in
MATH-101X or MATH-101.
For students without advanced credit or transfer credit for MATH-101, failure
to take the placement exam will result in placement in MATH-050.
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MATH-101 Calculus I
(Su,F,W,Sp) | 4 | 0 | 4
|
An introduction to the theory and techniques of differentiation of polynomial,
trigonometric, exponential, logarithmic, hyperbolic, and inverse functions
of one variable are covered.
Also included are limits, continuity, derivative applications and
interpretations.
Computer software will be used to aid in understanding these topics.
Prerequisite:
MATH-050 Precalculus, a sufficient score on the placement exam,
or permission of Department
Head.
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MATH-101X Calculus I
(Su,F) | 5 | 0 | 4
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This course is for students showing a lack of proficiency in algebra and
trigonometry on the placement examination.
It contains the same material as MATH-101 but in addition includes a review of
algebraic expressions, trigonometric functions and their inverses, and analytic
geometry.
Prerequisite:
A sufficient score on the placement exam to be
placed above MATH-050; or permission of Department Head.
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MATH-102 Calculus II
(Su,F,W,Sp) | 4 | 0 | 4
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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,
subsitutions, partial fractions, integration by parts, improper integrals
and numerical integration are covered in this course.
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.
Prerequisite:
MATH-101 or MATH-101X, Calculus I
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MATH-122 Integral Calculus and Series
(W,Sp) | 4 | 0 | 4
|
Integration of algebraic and transcendental functions, basic techniques of
integration, infinite series, partial differentiation, and multiple
integration involving areas. Applications to the field of business and
management. This is the second calculus course for management students.
Prerequisite:
MATH-101 or MATH-101X, Calculus I; or permission of
Department
Head
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MATH-203 Multivariate Calculus
(Su,F,W,Sp) | 4 | 0 | 4
|
Polar coordinates, parametric equations, and the calculus of
functions of several variables with an introduction to vector calculus are
covered in this course.
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 topics.
Prerequisite:
MATH-102, Calculus II
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MATH-204 Differential Equations and Laplace Transforms
(Su,F,W,Sp) | 4 | 0 | 4
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An introduction to the principles and methods for solving first order
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 ODEs are also
discussed.
Prerequisite:
MATH-203, Multivariate Calculus
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MATH-205 Probability
(W,Sp) | 4 | 0 | 4
|
This course is a study of the basic concepts and methods of probability.
Topics covered include counting techniques, laws of probability, and
conditional probability.
Families of discrete and continuous random variables are
considered. The central limit theorem is emphasized along with an
introduction to sampling theory.
Corequisite:
MATH-203, Multivariate Calculus
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MATH-226 Statistics for Management I
(Su,F) | 4 | 0 | 4
|
This course is a study of the basic concepts and methods of probability and
an introduction to statistics.
Topics covered include the fundamental concepts of
probability and families of discrete and continuous random variables.
Also included are the central limit theorem, and estimation and tests of
hypotheses of parameters for a single population. The course also includes
an introduction to MINITAB, a statistical computing package.
Prerequisite:
MATH-101, Calculus I
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MATH-227 Statistics for Management II
(W,Sp) | 4 | 0 | 4
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This course is a continuation of MATH-226. Estimation and tests of
hypotheses are extended to include parameters for more than one population.
Nonparametric methods and analysis of variance are introduced. Regression
and correlation analysis are covered extensively. The statistical computing
package MINITAB is utilized throughout the course.
Prerequisite:
MATH-226, Statistics for Management I
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MATH-305 Numerical Methods and Matrices
(Su,F,W,Sp) | 4 | 0 | 4
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This course is 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.
Prerequisites:
MATH-204, Differential Equations & Laplace Transforms;
and a computer programming course
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MATH-307 Matrix Algebra
(Su,F,W,Sp) | 4 | 0 | 4
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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.
Prerequisite:
MATH 101, Calculus I
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MATH-313 Boundary Value Problems
(Su,F) | 4 | 0 | 4
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This course is an introduction to linear partial differential equations (PDEs)
and basic
techniques of applied mathematics used to solve initial and boundary value
problems associated with these equations.
Topics
include: derivation of some of the fundamental PDEs and associated boundary
conditions that arise in science and engineering; Fourier Series;
Sturm-Liouville Systems including eigenvalues, eigenfunctions and
eigenfunction expansions; the separation of variables solution technique;
Fourier Transform. Applications to problems of science and engineering
will be given throughout the course.
Prerequisite:
MATH-204, Differential Equations & Laplace Transforms
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MATH-317 Advanced Matrix Theory
(W,Sp) | 4 | 0 | 4
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This course is 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.
Prerequisite:
MATH-307, Matrix Algebra
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MATH-321 Real Analysis I
(Su,F) | 4 | 0 | 4
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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.
Prerequisite:
MATH-203, Multivariate Calculus
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MATH-328 Methods of Applied Mathematics
(W,Sp) | 4 | 0 | 4
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Topics from advanced calculus, dimensional analysis and scaling,
perturbation and asymptotic methods, calculus of variations and integral
equations are covered in this course.
Applications of these tools to problems in engineering and science will be included.
Prerequisite:
MATH-204, Differential equations & Laplace Transforms
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MATH-408 Probability and Statistics
(Su,F,W,Sp) | 4 | 0 | 4
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A basic understanding of the concepts of probability and statistics is
provided. Elementary combinatorics, fundamentals of probability, families
of discrete and continuous probability distributions, and the Central Limit
Theorem are considered. The basic descriptive measures as well as basic
concepts of estimation and tests of hypotheses are considered. The uses of
probability and statistics in engineering areas are illustrated. A brief
introduction to MINITAB, a statistical package, is given.
Prerequisite:
MATH-203, Multivariate Calculus
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MATH-412 Complex Variables (Su,F) | 4
| 0 | 4
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This course is an introduction to 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.
Prerequisite:
MATH-203, Multivariate Calculus; or permission of Department Head
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MATH-416 Vector Analysis (W,Sp) | 4
| 0 | 4
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This course is 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 potential functions, Green's
theorem, parametric equations,
curvature, and curvilinear coordinates.
Prerequisite:
MATH-203, Multivariate Calculus
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MATH-418 Intermediate Differential Equations (Su,F)
| 4 | 0 | 4
|
This course is a study of systems of linear and nonlinear ordinary differential
equations
(ODEs). Systems of linear ODEs, matrix methods, variation of parameters,
perturbation methods and boundary layers, phase portraits, and stability
of nonlinear ODEs are covered in this course.
Numerical methods for solving systems of ODEs will be
presented and used to solve physical problems in applied mathematics and
engineering.
Prerequisites:
MATH-204, Differential Equations & Laplace Transforms;
MATH-305, Numerical Methods and Matrices
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MATH-421 Real Analysis II (W,Sp) | 4
| 0 | 4
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This course is an introduction to the study of spaces of real functions
including metric
spaces, normed linear spaces, Hilbert spaces, and linear operators.
Prerequisites:
MATH-317, Advanced Matrix Theory;
MATH-321, Real Analysis I
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MATH-423 Partial Differential Equations (W,Sp) | 4
| 0 | 4
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This course is a continuation of MATH-313.
Topics include Bessel's equaiton and Legendre's equation, boundary value
problems in curvilinear systems, Green's functions for ordinary and partial
differential equations.
Applications to problems of science and engineering will be given
throughout the course.
Prerequisites:
MATH-313, Boundary Value Problems;
MATH-305, Numerical Methods and Matrices
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MATH-426 Mathematical Statistics I (Su,F) | 4
| 0 | 4
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A study of random variables and their distribution functions including
expectations, transformations, moment generating functions, stochastic
independence, and sampling distribution. Also covered is a study of order
statsistics and limiting distributions of sample means.
Prerequisite:
IEN-332, Engineering Statistics II; or
MATH-408, Probability and Statistics; or
MATH-227, Statistics for Management II
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MATH-427 Mathematical Statistics II (W,Sp) | 4
| 0 | 4
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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.
Prerequisite:
MATH-426, Mathematical Statistics I
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MATH-428 Sampling Theory (W,Sp) | 4
| 0 | 4
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A study of sampling theory including probability sampling, simple random
sampling, sample size estimates, stratified sampling,
and cluster sampling.
Prerequisite:
MATH-426, Mathematical Statistics I
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MATH-438 Data Analysis for Engineers and
Scientists (W,Sp) | 4 | 0
| 4
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This course will cover topics in sampling techniques, data analysis and
regression, design of experiments, and statistical quality and process
control. In this course, the student will be given hands-on experience by
combining lectures with laboratory classes involving the use of computers
and appropriate statistical packages.
Prerequisite:
MATH-408, Probability and Statistics; or
MATH-226, Statistics for Management I; or
IEN-332, Industrial Engineering Statistics II
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