MT153
GENERAL EDUCATION MATH
(4 credit hours)
Fall/Winter/Spring/SummerPrerequisites: ---
Topics include systems of linear equations and inequalities, sets, operations on sets, Venn diagrams,geometry, sequential counting principle, combinations and permutations and basic concepts of probability, and statistics.
MT155
INTERMEDIATE ALGEBRA
(4 credit hours)
Fall/Winter/Spring/SummerPrerequisites: MT153
Topics include factoring, solutions of quadratic equations, logical statements, arithmetic in different number bases, especially binary, octal and hexadecimal, by factoring, rational expressions, simplification of radicals and exponents, the quadratic formula, graphing and applications to be used throughout the course.
MT158
COLLEGE ALGEBRA
(4 credit hours)
Fall/Winter/SpringPrerequisites: MT155 with “C” grade or higher
Topics include graphing polynomial and rational functions, synthetic division, solution of quadratic equations and higher degree polynomial equations, exponential and logarithmic functions, matrix algebra, determinants and solutions of linear systems of equations.
MT160
ELEMENTARY PLANE TRIGONOMETRY
(4 credit hours)
Winter/SpringPrerequisites: MT155
Right triangle and oblique triangle trigonometry, angles in degrees and radian measures and arcs; basic six trigonometric functions and their graphs, trigonometric identities, including addition laws, double-angle and half-angle formulas, inverse trigonometric functions, law of sines, law of cosines, the algebra of vectors, simple harmonic motions, polar representation of complex numbers.
MT170
FINITE MATHEMATICS
(4 credit hours)
Winter/SpringPrerequisites: MT155
Methods from linear algebra and probability are developed and applied to applications related to business. Topics include functions, graphs, systems of linear equations and inequalities, matrix algebra, linear programming, counting technique and probability.
MT200
BUSINESS CALCULUS
(4 credit hours)
Fall/Winter/SpringPrerequisites: MT155
For students majoring in business. Introduction to calculus topics include: limits, continuity, functions, differentiation and integration of polynomial. Applications are developed and applied to business oriented.
MT201
CALCULUS I
(4 credit hours)
Fall/SpringPrerequisites: MT160
A first course in calculus sequence introduces the idea of limits, continuity, and derivatives. Further topics include techniques of differentiation, L’Hopital’s Rule, higher order derivatives, and related rates.
MT202
CALCULUS II
(4 credit hours)
Fall/WinterPrerequisites: MT201
A continuation of MT201, this course covers applications of the derivative, the indefinite integral, and the definite integral and its applications. Newton’s method, the mean- value theorem, and the fundamental theorem of calculus are among the other topics covered.
MT203
CALCULUS III
(4 credit hours)
SpringPrerequisites: MT202
A continuation of MT202, this course covers the advanced techniques of integration, the evaluation of the improper integrals, an introduction to differential equations, and infinite series. Specific topics include integrating with computer algebra systems, slope fields, Euler’s method, and convergence tests for infinite series. Maclaurin and Taylor series are discussed as well.
MT221
FUNDAMENTALS OF STATISTICS
(4 credit hours)
Fall/Winter/Spring/SummerPrerequisites: MT155 and CI213
Descriptive statistics, analysis and presentation of single variable data, including graphs, Pareto diagrams, histograms, measures of central tendency, measures of dispersion and measures of position, analysis of bivariate data, including linear correlation and linear regression, probability and probability distributions, including mean and variance of a discrete probability distribution and binomial distribution, normal distributions and applications of normal distributions.
MT301
ADVANCED CALCULUS I
(4 credit hours)
FallPrerequisites: MT203
Multiple integral and applications, differentiation and integration of vector fields and vector functions, line and surface integrals, Green's theorem, Stoke's theorem, divergence and curl and applications.
MT302
ADVANCED CALCULUS II
(4 credit hours)
WinterPrerequisites: MT301
A continuation of MT301. Topics include multivariable differentiation, differentials, extremal problems, Lagrange multipliers, chain rule, mean value theorem, Taylor series in multivariate case, implicit and inverse mapping theorems, Jacobian and Laplace transforms.
MT306
LINEAR ALEGBRA
(4 credit hours)
SpringPrerequisites: MT201 or MT200
Topics covered are: linear systems of linear equations, determinants, vector spaces, linear transformations and matrices, Inner orthogonality, eigenvalues; eigenvectors; and diagonalization together with selected applications, such as Markov processes, linear programming, economic models, least squares, and population growth. Some of the basic theorems will be explored rigorously while other results will be demonstrated informally.
MT310
ELEMENTARY DIFFERENTIAL EQUATIONS
(4 credit hours)
FallPrerequisites: MT203
An introductory look at classifying and solving basic types of differential equations. There is a focus on the first and second- order differential equations, both linear and non-linear, and their application to the physical sciences and engineering. Analytical and numerical techniques for solving will be discussed.
MT311
ABSTRACT ALGEBRA
(4 credit hours)
FallPrerequisites: MT203
Introduction to modern algebra. Topics include elements of axiomatic set theory, group theory, ring and field theory, permutation groups, subgroups, cosets and Lagrange's theorem.
MT322
INFERENTIAL STATISTICS
(4 credit hours)
SpringPrerequisites: MT221
Inferential statistics with applications to business and behavioral science, hypothesis testing, including one-tailed and two-tailed tests in distributions for estimating (mean) with known (standard deviation), inferences involving one population, including Student’s statistic for estimating with unknown, Chi- square distributions for estimating variances, inferences involving two populations, including estimating mean difference using two dependent samples and two independent samples respectively, applications of Chi- square statistics, including multinomial experiments and contingency tables.
MT411
INTRODUCTION TO REAL ANALYSIS
(4 credit hours)
SpringPrerequisites: MT301
A rigorous treatment of the topics from calculus: topological properties, sequences, the mean value theorem, convergence, continuity, Cauchy sequences, differentiability and integrability.
MT430
ENGINEERING MATHEMATICS
(4 credit hours)
FallPrerequisites: MT306 & MJ T310
An introduction to a variety of advanced mathematical topics, emphasizing their application to electrical engineering. These include complex variables, complex integral calculus, Taylor and Laurent series and the residue theorem. Also partial differential equations, specifically diffusion equations, wave equations, and the Laplace equation. Fourier series, Fourier integrals and Fourier transforms as well.
Mathematics
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