# Mathematical Sciences (MAT) < DePaul University

No results found, please try again. Reset selections. MAT 94 | BASIC ALGEBRA | 4 quarter hours
The objective of this run is to increase the students ‘ competence in working with ordinary arithmetical, using a bombastic variety show of virtual problems and situations from basic sciences as motivation. once WRC 104.

MAT 95 | INTRODUCTORY ALGEBRA | 4 quarter hours
An introduction to functions, linear equations, linear inequalities, absolute values, systems of linear equations, exponents, and polynomials. once WRC 204 .
MAT 094or placement is a prerequisite for this course.
MAT 100 | INTRODUCTION TO QUANTITATIVE REASONING | 4 quarter hours
An introduction to the algebra needed for quantitative reasoning with a focus on functions and modeling. This course emphasizes the applications of elementary algebra and the consumption of functions to model and analyze real-world situations. Topics include functions from graphic, tabular, and emblematic points of view and models using linear, quadratic, baron, exponential, and logarithmic functions. Graphing engineering is used extensively. This path is prerequisite to LSP 120 and is intended for students continuing on to LSP 120. This run is not recommended for students whose plan of survey includes tartar .
MAT 094or placement is a prerequisite for this course.
MAT 101 | INTERMEDIATE ALGEBRA | 4 quarter hours
Functions, factoring, intellectual expressions, roots, radicals, quadratic equations, quadratic equation inequalities. Course meets for an extra 1 hour lab session each workweek for enrichment and problem solve .
MAT 095 is a prerequisite for this class.
MAT 110 | FOUNDATIONS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I | 4 quarter hours
This path gives students a deeper sympathy of the foundations of elementary mathematics. Topics include problem resolution, phone number systems, the decimal system, the number line, rounding, fractions, percentages, summation and subtraction .
MAT 101 or LSP 120 or equivalents or placement by test is a prerequisite for this class.
MAT 111 | FOUNDATIONS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II | 4 quarter hours
This course gives students a deeper understand of the foundations of elementary mathematics. Topics include problem solve, fractions, percentages, addition, subtraction, multiplication, and division .
MAT 110 is a prerequisite for this class.
MAT 112 | GAMBLING AND GAMES, PROBABILITY AND STATISTICS | 4 quarter hours
Students with very short mathematical background and little or no computing background will be given a abbreviated initiation to the practice of Microsoft Excel for mathematical purposes. This will be followed by a brief discussion of luck, gambling, and probability. several popular games ( such as lotteries, roulette, craps, and poker ) will be considered both from a theoretical point of position and by means of very bare computer model. At the end, we will discuss concisely topics from game hypothesis such as zero-sum games and game with cooperation .
MAT 094or placement is a prerequisite for this course.
MAT 115 | MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS III | 4 quarter hours
continuance of Math 110-111 .
MAT 111 is a prerequisite for this class.
MAT 130 | PRECALCULUS | 4 quarter hours
Functions and their graph, exponential and logarithmic functions, inverse functions, polynomial and rational functions .
MAT 101 or placement by test is a prerequisite for this class.
MAT 131 | TRIGONOMETRY | 4 quarter hours
trigonometric functions, inverse trigonometric functions, trigonometric identities, laws of sines and cosines, polar coordinates and complex plane .
MAT 130 or equivalents or placement by test is a prerequisite for this class.
MAT 135 | BUSINESS CALCULUS I | 4 quarter hours
differential calculus of one or more variables with business applications .
A grade of C- or better in MAT 130 (or equivalent) is a prerequisite for this class.
MAT 136 | BUSINESS CALCULUS II | 4 quarter hours
built-in calculus, matrix algebra, and probability hypothesis with clientele applications .
A grade of C- or better in MAT 135 (or equivalent) is a prerequisite for this class.
MAT 137 | BUSINESS STATISTICS | 4 quarter hours
basic concepts of statistics and applications ; data analysis with the use of Excel ; theoretical distributions ; sampling distributions ; problems of estimate ; guess testing ; problems of sampling ; analogue regression and correlation .
A grade of C- or better in MAT 130 (or equivalent) is a prerequisite for this class.
MAT 140 | DISCRETE MATHEMATICS I | 4 quarter hours
Combinatorics, graph theory, propositional logic, singly-quantified statements, operational cognition of bent theory, functions, numeral systems, methods of direct and indirect proof .
MAT 130 or above or equivalents or placement by test is a prerequisite for this class.
MAT 141 | DISCRETE MATHEMATICS II | 4 quarter hours
Methods of lineal and indirect proof, set theoretical proof, sequences, mathematical initiation, recursion, multiply-quantified statements, relations and functions, complexity .
MAT 140 is a prerequisite for this class.
MAT 147 | CALCULUS WITH INTEGRATED PRECALCULUS I | 6 quarter hours
Limits, continuity, the derivative, rules of differentiation, derivatives of trigonometric and logarithmic functions and their inverses, and applications, with precalculus review included for each subject. The full MAT 147-8-9 sequence covers all the corporeal of MAT 150-1-2 plus extra precalculus fabric. ( 6 quarter hours )
MAT 130 or equivalents or placement by test is a prerequisite for this course.
MAT 148 | CALCULUS WITH INTEGRATED PRECALCULUS II | 6 quarter hours
Extrema, curve sketch, related rates, definite and indefinite integrals, applications of the integral, with precalculus review included for each subject. ( 6 quarter hours )
MAT 147 (or MAT 150 or MAT 155 or MAT 160 or MAT 170) is a prerequisite for this class.
MAT 149 | CALCULUS WITH INTEGRATED PRECALCULUS III | 6 quarter hours
Techniques of integration, L’Hopital ‘s rule, improper integrals, Taylor polynomials, series and sequences, first-order derived function equations, with precalculus inspection included for each topic. ( 6 draw hours )
MAT 148 (or MAT 151 or MAT 161 or MAT 171) is a prerequisite for this class.
MAT 150 | CALCULUS I | 4 quarter hours
Limits, continuity, the derivative instrument, rules of specialization, derivatives of trigonometric and logarithmic functions and their inverses, applications of the derivative, extreme point, curvature sketch, and optimization. This course meets for an extra 1-hour lab school term each workweek for enrichment and problem resolve .
MAT 131 or placement by test is a prerequisite for this course.
MAT 151 | CALCULUS II | 4 quarter hours
Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the built-in, techniques of integration. This course meets for an extra 1-hour lab school term each workweek for enrichment and trouble clear .
MAT 150 or MAT 155 or MAT 160 or MAT 170 is a prerequisite for this class.
MAT 152 | CALCULUS III | 4 quarter hours
L’Hopital ‘s rule, improper integrals, sequences and series, Taylor polynomials. This course meets for an extra 1-hour lab school term each week for enrichment and trouble clear .
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 155 | SUMMER CALCULUS I | 6 quarter hours
Limits, continuity, the derivative, rules of differentiation, derivatives of trigonometric and logarithmic functions and their inverses, applications of the derivative, extremum, wind sketch, and optimization. Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the integral. ( 6 draw hours )
MAT 131 or placement by Mathematics Diagnostic Test is a prerequisite for this class.
MAT 156 | SUMMER CALCULUS II | 6 quarter hours
far applications of the integral, techniques of integration. L’Hopital ‘s rule, improper integrals, sequences and series, Taylor polynomials. ( 6 quarter hours )
MAT 148 or MAT 151 or MAT 155 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 160 | CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I | 5 quarter hours
Limits, continuity, the derivative instrument, rules of differentiation, derivatives of trigonometric and logarithmic functions and their inverses, applications of the derivative, extremum, swerve sketch, and optimization. This course meets for an extra 1.5-hour lab seance each week for enrichment and trouble resolve. ( 5 quarter hours )
MAT 131 or placement by test is a prerequisite for this class.
MAT 161 | CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS II | 5 quarter hours
Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the integral, techniques of integration. This class meets for an extra 1.5-hour lab session each week for enrichment and trouble clear. ( 5 draw hours )
MAT 150 or MAT 155 or MAT 160 or MAT 170 is a prerequisite for this class.
MAT 162 | CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS III | 5 quarter hours
L’Hopital ‘s rule, improper integrals, sequences and series, Taylor polynomials. This course meets for an extra 1.5-hour lab session each week for enrichment and trouble resolve. ( 5 quarter hours )
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 170 | CALCULUS FOR LIFE SCIENCES I | 5 quarter hours
The run covers the comply topics using examples from the sciences : Functions as models, logarithmic scale graph, exponential increase and decay, difference equations and limits of sequences, geometric series, functions and limits, trigonometric functions and their limits, continuity, limits at eternity, the derivative, differentiation rules, derivatives of trigonometric and exponential functions, related rates, derivatives of inverse and logarithm functions. Course meets for an extra lab seance each workweek during which fourth dimension students will work on lend oneself mathematics projects based on the topics covered in the course. Students majoring in the sciences should consult with their major department to decide between the 160 and 170 sequences. ( 5 quarter hours )
MAT 131 or placement by test is a prerequisite for this class.
MAT 171 | CALCULUS FOR LIFE SCIENCES II | 5 quarter hours
The course covers the succeed topics using examples from the sciences : Applications of the derivative instrument including approximation and local one-dimensionality, differentials, extreme point and the Mean Value Theorem, monotonicity and concave shape, extreme point, prosody points, graph, L’Hospital ‘s Rule, optimization, and the Newton-Raphson method acting, antiderivaties, the definite integral, Riemann sums, the Fundamental Theorem of Calculus, area, accumulative change, average rate of a function, and techniques of integration : substitution rule and consolidation by parts. Course meets for an extra lab session each workweek during which clock students will work on practice mathematics projects based on the topics covered in the course. Course meets for an extra lab session each week during which time students will work on apply mathematics projects based on the topics covered in the course. ( 5 quarter hours )
MAT 150 or MAT 155 or MAT 160 or MAT 170 is a prerequisite for this class.
MAT 172 | CALCULUS III WITH DIFFERENTIAL EQUATIONS | 5 quarter hours
This class is designed for students in the life sciences and covers some topics from MAT 152, differential equations and an presentation to the Calculus of functions of respective variables. specific topics are as follows. numeral integration, fond fraction expansions, Taylor approximations of a function, differential equations, separation of variables, slope fields, Euler ‘s being theorem, polygonal approximations to solutions of differential gear equations, the logistic equality and allometric growth models, equilibria of differential equations and their stability, applications of stability hypothesis, functions of several variables, partial derivatives, directional derivative and the gradient. Course meets for an extra lab school term each week during which time students will work on apply mathematics projects based on the topics covered in the course. ( 5 quarter hours )
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 207 | HISTORY OF PROBABILITY AND STATISTICS | 4 quarter hours
history Of Probability And Statistics .
MAT 215 | INTRODUCTION TO MATHEMATICAL REASONING | 4 quarter hours
An initiation to basic concepts and techniques used in higher mathematics courses : set theory, equivalence relations, functions, cardinality, techniques of proof in mathematics. The emphasis is on problem resolution and proof construction by students .
MAT 149 or MAT 152 or MAT 156 or MAT 162 or MAT 172 is a prerequisite for this class.
MAT 216 | FOUNDATIONS OF ADVANCED MATHEMATICS | 4 quarter hours
introduction to abstract mathematics : congruences, modular arithmetical, the Euclidean algorithm, proof involving manipulation of inequalities and estimate, sequences and their limits .
MAT 215 (or MAT 141) is a prerequisite for this class.
MAT 220 | APPLIED LINEAR ALGEBRA | 4 quarter hours
Systems of linear equations, matrices and matrix algebra, determinants, diagonalization and matrix factorization with MATLAB/Maple, with applications to linear programming and graph theory .
MAT 141 or MAT 148 or MAT 151 or MAT 155 or MAT 161 or MAT 171 is a prerequisite for this class.
MAT 242 | ELEMENTS OF STATISTICS | 4 quarter hours
descriptive statistics, elements of probability, the binomial and convention probability models ; large and small sample hypothesis test, correlation and arrested development analysis. function of calculator packages. This path does not count toward mathematics major credit. Cross-listed with SOC 279 .
(MAT 095 and MAT 100) or MAT 101 or placement are prerequisites for this class.
MAT 260 | MULTIVARIABLE CALCULUS I | 4 quarter hours
Vectors, dot and cross products, parameterizations of lines and planes in space, functions of several independent variables, partial derivatives, tangent planes and linear approximations, the chain rule, directing derivatives and the gradient vector, extreme values, Lagrange multipliers, doubly integrals and their applications .
MAT 149 or MAT 152 or MAT 156 or MAT 162 or MAT 172 is a prerequisite for this class.
MAT 261 | MULTIVARIABLE CALCULUS II | 4 quarter hours
Surface areas, triple integrals, vector functions and outer space curves, derivatives of vector functions, discharge length and curvature, vector fields, line integrals, Green ‘s Theorem, parametric surfaces, surface integrals, coil and deviation, Stokes ‘s Theorem, the Divergence Theorem .
MAT 260 is a prerequisite for this class.
MAT 262 | LINEAR ALGEBRA | 4 quarter hours
Systems of linear equations and matrices ; vectors in n-space ; vector spaces : linear combinations, analogue independence, basis ; linear transformations, change of basis, eigenvalues and eigenvectors .
MAT 260 is a prerequisite for this class.
MAT 301 | HISTORY OF MATHEMATICS | 4 quarter hours
history of mathematics with problem resolve .
A grade of C-minus or better in MAT 215 or MAT 141, or instructor permission is a prerequisite for this class.
MAT 302 | COMBINATORICS | 4 quarter hours
Methods of count and enumeration of mathematical structures. Topics include generating functions, recurrence relations, inclusion relations, and graphic methods .
A grade of C-minus or better in MAT 215 or MAT 141, or instructor permission is a prerequisite for this class.
MAT 303 | THEORY OF NUMBERS | 4 quarter hours
A study of properties of integers : divisibility ; Euclid ‘s Algorithm ; congruences and modular arithmetical ; Euler ‘s Theorem ; Diophantine equations ; distribution of primes ; RSA cryptography .
A grade of C- or above in MAT 216 (or instructor permission) is a prerequisite for this class.
MAT 304 | DIFFERENTIAL EQUATIONS | 4 quarter hours
analogue equations, systems with constant coefficients, series solutions, Laplace transforms, and applications. once MAT 338 .
MAT 260 is a prerequisite for this class.
MAT 309 | TEACHING AND LEARNING SECONDARY SCHOOL MATHEMATICS | 4 quarter hours
Theories, methods, and materials for teaching and learning mathematics in secondary schools. Cross-listed with SEC 309 .
SE 364 is a prerequisite for this class.
MAT 310 | ABSTRACT ALGEBRA I | 4 quarter hours
The first quarter of a 3-quarter sequence. Topics in the sequence include the integers ; outline groups, rings, and fields ; polynomial rings ; isomorphism theorems ; reference fields ; and an insertion to Galois hypothesis .
MAT 262 and (a C-minus or better in MAT 216), or instructor permission, are prerequisites for this class.
MAT 311 | ABSTRACT ALGEBRA II | 4 quarter hours
A good continuation of topics from MAT 310 : Groups, rings, fields, polynomial rings, isomorphism theorems, extension fields, and an initiation to Galois hypothesis .
A grade of C-minus or better in MAT 310 or instructor permission is a prerequisite for this class.
MAT 312 | ABSTRACT ALGEBRA III | 4 quarter hours
A lengthiness of topics from MAT 311 : Groups, rings, fields, polynomial rings, isomorphism theorems, extension fields, and an introduction to Galois hypothesis .
A grade of C-minus or better in MAT 311 or instructor permission is a prerequisite for this class.
MAT 320 | GEOMETRY I | 4 quarter hours
incidence and legal separation properties of planes ; congruences ; the analogue postulate ; area theory ; ruler and compass construction .
A grade of C-minus or better in MAT 215 or MAT 141, or instructor permission is a prerequisite for this class.
MAT 321 | GEOMETRY II | 4 quarter hours
introduction to solid geometry and noneuclidean geometry ( hyperbolic and ball-shaped models ) ; other extra topics .
A grade of C- or better in MAT 320 is a prerequisite for this course.
MAT 323 | DATA ANALYSIS AND STATISTICAL SOFTWARE I | 4 quarter hours
Computing with a statistical package. initiation to data psychoanalysis, elementary statistical inference, regression and correlation. This course does not count toward mathematics major credit .
MAT 130 or placement by test is a prerequisite for this class.
MAT 324 | DATA ANALYSIS & STATISTICAL SOFTWARE II | 4 quarter hours
Advanced features and applications of the statistical package used in MAT 323 .
C- or better in MAT 323
MAT 326 | SAMPLE SURVEY METHODS | 4 quarter hours
simpleton random, stratified, systematic and bunch sampling. multistage and area sample distribution. Random-response and capture-release models .
MAT 349 or MAT 353 is a prerequisite for this class.
MAT 328 | DESIGN OF EXPERIMENTS | 4 quarter hours
linear models and quadratic forms. Single, two and several-factor experiments, incomplete designs, confounding and fractional factorial experiments. Response surfaces and partially balanced incomplete block designs .
MAT 349 or MAT 353 is a prerequisite for this class,.
MAT 330 | METHODS OF COMPUTATION AND THEORETICAL PHYSICS I | 4 quarter hours
Computational and theoretical methods in ordinary differential equations, complex numbers, systems of equations, phase plane psychoanalysis, and bifurcations. Applications to damped, drive oscillators, and to electronics .
MAT 331 | METHODS OF COMPUTATION AND THEORETICAL PHYSICS II | 4 quarter hours
Computational and theoretical methods in ordinary differential equations, complex numbers, systems of equations, phase plane analysis, and bifurcations. Applications to damped, drive oscillators, and to electronics .
MAT 261 is a prerequisite for this class.
MAT 335 | REAL ANALYSIS I | 4 quarter hours
real act system, completeness, supremum, and infimum, sequences and their limits, lim inf, lim sup, limits of functions, continuity .
(MAT 149 or MAT 152 or MAT 156 or MAT 162) and (a grade of C-minus or better in MAT 216) are prerequisites for this class.
MAT 336 | REAL ANALYSIS II | 4 quarter hours
Properties of continuous functions, consistent continuity, sequences of functions, differentiation, integration. To follow 335 in the Winter Quarter .
A grade of C- or better in MAT 335 is a prerequisite for this class.
MAT 337 | COMPLEX ANALYSIS | 4 quarter hours
complex functions ; complex differentiation and integration ; series and sequences of complex functions .
MAT 215, MAT 261 and MAT 335 (or instructor permission) are prerequisites or this class.
MAT 340 | TOPOLOGY | 4 quarter hours
An introduction to point-set regional anatomy : metric unit spaces, topological spaces, continuity, connection, and concentration .
Grades of C- or above in MAT 215 (or MAT 141) and MAT 335 or instructor permission are prerequisites for this class.
MAT 341 | STATISTICAL METHODS USING SAS | 4 quarter hours
The SAS programming terminology. Data exploration, description and presentation, with emphasis on writing statistical reports. Inference based on continuous and categorical data. analysis of variability models and arrested development procedures including logistic regression. Cross-listed with MAT 448 .
Successful completion of the programming course required as part of the Math Core Curriculum or instructor permission is a prerequisite for this class.
MAT 342 | ELEMENTS OF STATISTICS II | 4 quarter hours
multiple regression, correlation coefficient, analysis of discrepancy, prison term series, and sampling. Course content and emphases will vary with students ‘ needs and backgrounds .
MAT 137 (or MAT 323 or MAT 348) is a prerequisite for this class.
MAT 343 | BUSINESS STATISTICS II | 4 quarter hours
multiple arrested development, correlation, analysis of discrepancy, time series and sampling. statistical theory applied to business. Use of statistical calculate packages. Course contented will vary with the needs and desires of person students. ( FORMERLY BMS 342 )
A grade of C-minus or better in MAT 137 or instructor permission is a prerequisite for this class.
MAT 348 | APPLIED STATISTICAL METHODS | 4 quarter hours
introduction to statistical software ( which will be used throughout the class ). descriptive statistics ; elementary probability theory ; discrete and continuous probability models ; principles of statistical inference ; bare analogue regression and correlation coefficient analysis .
MAT 130 or equivalent is the prerequisite for this class.
MAT 349 | APPLIED PROBABILITY | 4 quarter hours
Probability theory, probability distributions, mathematical anticipation, functions of random variables, sampling distributions, appraisal, tests of hypotheses, simulation. Focus on applications .
A grade of C-minus or better in MAT 341 or MAT 348 or CSC 324 or DSC 323 is a prerequisite for this class.
MAT 350 | BAYESIAN STATISTICS | 4 quarter hours
Comparison of Bayesian and frequentist methods, conditional probability, Bayes theorem, conjugate distributions, computational methods, hands-on Bayesian datum analysis using appropriate software, rendition and presentation of psychoanalysis results. Students will learn to use software packages including OpenBUGS. The rid software program R will be utilized for data analysis .
MAT 349 (or MAT 351) is a prerequisite for this class.
MAT 351 | PROBABILITY AND STATISTICS I | 4 quarter hours
probability spaces, combinatorial probability methods, discrete and continuous random variables and distributions, moment generating functions, exploitation and applications of the classical discrete and continuous distributions .
MAT 260 is a prerequisite for this class.
MAT 352 | PROBABILITY AND STATISTICS II | 4 quarter hours
roast probability distributions and correlation ; law of large numbers and the central limit theorem ; sampling distributions and hypothesis of estimate .
A grade of C-minus or better in MAT 351 or instructor permission is a prerequisite for this class.
MAT 353 | PROBABILITY AND STATISTICS III | 4 quarter hours
Principles of guess test ; most herculean tests and likelihood proportion tests ; linear regression ; one-way analysis of discrepancy ; categorical data psychoanalysis, nonparametric statistics .
A grade of C-minus or better in MAT 352 or instructor permission is a prerequisite for this class.
MAT 354 | MULTIVARIATE STATISTICS | 4 quarter hours
The multivariate normal distribution. hypothesis tests on means and variances including the multivariate linear model. Classification using the linear discriminant affair. star components and gene analysis. PREREQUISTE ( S ) : MAT 353 and 262, or consent of teacher. ( CROSS-LISTED WITH MAT 454 )
MAT 262 and MAT 353 are a prerequisite for this class.
MAT 355 | STOCHASTIC PROCESSES | 4 quarter hours
Discrete Markov chains and random walks, birth and death processes, Poisson processes, queuing systems, and refilling processes. Cross-listed with MAT 455 .
MAT 353 and (MAT 220 or MAT 262), or instructor permission are prerequisites for this class.
MAT 356 | APPLIED REGRESSION ANALYSIS | 4 quarter hours
simple linear, multiple, polynomial and general arrested development models. choice of best regression equation and interrogation of residuals for homoscedasticity and other diagnostics. Use of statistical software. Cross-listed with MAT 456 .
MAT 262 and MAT 353 are a prerequisite for this class.
MAT 357 | NONPARAMETRIC STATISTICS | 4 quarter hours
Inference concerning location and scale parameters, good of burst tests, association analysis and tests of randomness using distribution release procedures. Bootstrap techniques. Smoothing methodologies. Cross-listed with MAT 457 .
PREREQUISITE: MAT 349 or 353
MAT 358 | APPLIED TIME SERIES AND FORECASTING | 4 quarter hours
Development of the Box-Jenkins methodology for the recognition, appraisal, and meet of ARIMA, and transfer-function stochastic models for the purpose of analyzing and forecasting stationary, non-stationary, and seasonal time series data. The path emphasizes practical time-series data analysis using calculator packages and includes applications to economic, business, and industrial prediction. Cross-listed with MAT 512 .
(MAT 341 and MAT 353) or (MAT 356) are prerequisites for this class.
MAT 359 | SIMULATION MODELS AND MONTE CARLO METHOD | 4 quarter hours
Techniques of calculator simulation of the classical univariate and multivariate probability distribution models, and such random processes as random walk, Markov chains, and queues. Cross-listed with MAT 459 .
MAT 341 and MAT 353 are a prerequisite for this class.
MAT 360 | GENERALIZED LINEAR MODELS | 4 quarter hours
Applications of popularize linear models. Topics include generalized linear models for non-normal continuous reaction, models for binary and polynomial reception data, models for count data, and analysis of variation and covariance. The class of generalize linear models contains the models most normally used in statistical drill .
(CSC 324 or DSC 323 or MAT 341) and (MAT 349 or MAT 351) are prerequisites for this class.
MAT 361 | THEORY OF INTEREST | 4 quarter hours
hypothesis and applications of compound interest to annuities, amortization schedules, sinking funds, bonds, and yield rates .
MAT 149 (or MAT 152 or MAT 156 or MAT 162) is a prerequisite for this class.
MAT 362 | LIFE CONTINGENCIES I | 4 quarter hours
basic Contingencies : The theory and applications of eventuality mathematics in life and health insurance, annuities, and pensions from both a probabilistic and a deterministic point of view. Topics include survival distribution and life sentence tables, life policy, and biography annuities .
A grade of C-minus or better in MAT 361 or instructor permission is a prerequisite and MAT 352 is a corequisite for this class.
MAT 363 | LIFE CONTINGENCIES II | 4 quarter hours
advanced Contingencies : A good continuation of Mathematics 362. Topics include internet premiums, net premiums reserves, multiple life functions, multiple decrease models, and evaluation theory for pension plans .
A grade of C- or above in MAT 352 and MAT 362 or instructor permission is a prerequisite for this class.
MAT 364 | LOSS MODELS I | 4 quarter hours
badness and frequency models, aggregate models, coverage modifications, risk measures, construction and survival of parametric models. Cross-listed with MAT 464 .
MAT 353 is a prerequisite for this class.
MAT 365 | LOSS MODELS II | 4 quarter hours
bayesian credibility, Buhlmann credibility, policy and reinsurance coverages, pricing and allow. Cross-listed with MAT 465 .
MAT 364 is a prerequisite for this course.
MAT 366 | MATHEMATICAL DEMOGRAPHY | 4 quarter hours
introduction to demography ; deathrate board construction and methods of population and demographic analysis .
MAT 353 is a prerequisite for this class.
MAT 367 | CREDIBILITY THEORY | 4 quarter hours
Credibility hypothesis and loss distributions with applications to casualty insurance classification and finance. Cross-Listed as MAT 467 .
MAT 352 is a prerequisite for this class.
MAT 368 | MATHEMATICS FOR FINANCE | 4 quarter hours
The naturally covers the mathematics of fiscal derivatives, investment strategies, arbitrage, put-call parity, binomial models for european options and concern rates, Black-Scholes rule, hedge, lognormal models for asset prices, alien options, valuation using Monte-Carlo, and embedded options in annuity products .
MAT 260 and (MAT 220 or MAT 262) and (MAT 349 or MAT 353) are prerequisites for this class.
MAT 370 | ADVANCED LINEAR ALGEBRA | 4 quarter hours
Vector spaces, footing and dimension ; matrix representation of linear transformations and switch of footing ; diagonalization of analogue operators ; inner merchandise spaces ; diagonalization of symmetrical linear operators, principal-axis theorem, and applications. Cross-listed MAT 470 .
MAT 262 and (a grade of C-minus or better in MAT 215 or MAT 141) or instructor permission is a prerequisite for this class.
MAT 372 | LOGIC AND SET THEORY | 4 quarter hours
Topics in axiomatic set hypothesis, ball logic, and computability hypothesis .
A grade of C-minus or better in MAT 215 or MAT 141, or instructor permission is a prerequisite for this class.
MAT 381 | FOURIER ANALYSIS AND SPECIAL FUNCTIONS | 4 quarter hours
The course covers the basic principles of discrete and continuous Fourier analysis and some of its applications presently used in scientific model. Students will use the calculator to implement the computational algorithm developed in the course. Some of the topics covered will include Fourier transforms and their lotion to signal and visualize processing, discrete Fourier serial, the flying Fourier transform algorithm and applications to digital percolate, and the Radon transforms and its applications to tomography .
MAT 262 is a prerequisite for this class.
MAT 384 | MATHEMATICAL MODELING | 4 quarter hours
Modeling of real world problems using mathematical methods. Includes a theory of model and a study of specific models, selected from deterministic, stochastic, continuous, and discrete models. Cross-listed with MAT 484 .
MAT 262 (or MAT 220) is a prerequisite for this class.
MAT 385 | NUMERICAL ANALYSIS I | 4 quarter hours
Use of a digital computer for numeral calculation. erroneousness psychoanalysis, gaussian elimination and Gauss-Seidel method acting, solution of non-linear equations, function evaluation, cubic splines, approximation of integrals and derivatives, Monte Carlo methods. Cross-listed with MAT 485 .
MAT 262 and a programming course required as part of the Math Core Curriculum or consent of the instructor are prerequisites for this class.
MAT 386 | NUMERICAL ANALYSIS II | 4 quarter hours
hypothesis and algorithm for effective calculation, including the Fast Fourier transform, numeral solution of non-linear systems of equations. minimization of functions of several variables. sparse systems of equations and corresponding eigenvalue problems. ( CROSS-LISTED WITH MAT 486 & CSC 386 /486 )
A grade of C-minus or better in MAT 385 or instructor permission is a prerequisite for this class.
MAT 387 | OPERATIONS RESEARCH: LINEAR PROGRAMMING | 4 quarter hours
linear program, integer program and LP relaxation, the duality theorem, simplex algorithm, department of the interior point methods, applications to industrial mastermind. Students should take an basic calculator programming run before taking this course. ( CROSS-LISTED AS MAT 487 )
MAT 260 and MAT 262 are prerequisites for this class.
MAT 388 | OPERATIONS RESEARCH: OPTIMIZATION THEORY | 4 quarter hours
Convex optimization, quadratic optimization problems, Lagrange multipliers and generalization to inequality constraints, alternating commission method acting of multipliers ( ADMM ), unconstrained minimization, applications to industrial engineering including machine learning. Students should take an introductory computer programming course before taking this course. ( CROSS-LISTED AS MAT 488 )
MAT 260 and MAT 262 are prerequisites for this class.
MAT 389 | TOPICS IN OPERATIONS RESEARCH | 4 quarter hours
advanced topics in operations inquiry and optimization theory.

A grade of C-minus or better in MAT 388 or instructor permission is a prerequisite for this class.
MAT 390 | MATHEMATICS READING AND RESEARCH | 4 quarter hours
The course provides students with a hands-on experience about research in mathematical sciences. Students attend seminars and research colloquium, and actively participate at discussions about the topics presented. Students reflect on the connections between respective areas of modern mathematics, the challenges of structure and solving problems, and the personal experience of doing mathematics. As a final project, each student prepares and presents a numerical expository paper describing a stream area of research, emphasizing its relevance to mathematics in general and its connections to real world problems. This naturally may be used to satisfy the junior-year experiential determine ( JYEL ) prerequisite .
MAT 391 | STUDIES IN DEMOGRAPHY | 4 quarter hours
The path introduces students to the study by statistical methods of homo populations in terms of type of data sources, population composing, growth, birthrate, deathrate, unwholesomeness, health, migration, and urbanization. In summation, the course has a major component that emphasizes the study of current characteristics of the populations of developing countries in comparison with some evolve countries including the United States of America. Students are required to present and submit a research project with comparative analysis of demographic statistics obtained on several developing and develop countries .
MAT 395 | TOPICS IN MATHEMATICS | 4 quarter hours
Consult run agenda for stream offerings. run may be repeated for credit when title and message change. variable credit allowed .
MAT 396 | SENIOR THESIS RESEARCH | 2-4 quarter hours
A thesis option is available to mathematics majors who wish to pursue an offer independent project related to a theoretical or give focus of the program. Students would work under the guidance of a faculty mentor. A sum of 4 credits must be completed over the one or two quarters prior to the dissertation submission. matter to students are strongly encouraged to enroll in MAT 390 during their junior year. ( 2 quarter hours )
MAT 397 | MATHEMATICAL PEDAGOGY: THEORY & PRACTICE | 4 quarter hours
introduction to current theories and practices in college mathematics education ; helps undergraduate mathematics majors develop a deeper understanding of fundamental mathematical concepts and an awareness of how people learn mathematical ideas, and prepares them to work as consultants in mathematics direction. mathematical tutoring practicum is required. Four recognition hour course offered over a two quarter cross during the fall and winter quarters only. See teacher for far information. This naturally possibly used to satisfy the junior experiential eruditeness necessity, but it does not count toward mathematics major or child citation. Cross-listed with MAT 697 .
MAT 398 | SENIOR CAPSTONE SEMINAR | 4 quarter hours
Topics vary from year to class. This course does not count toward the numerical major or minor credit rating .
MAT 215 (or MAT 140 and 141) and MAT 262, or instructor permission are prerequisites for this class.
MAT 399 | INDEPENDENT STUDY | 1-8 quarter hours
( variable credit rating )
MAT 400 | APPLIED ABSTRACT ALGEBRA I | 4 quarter hours
Applied Abstract Algebra I .
MAT 401 | APPLIED ABSTRACT ALGEBRA II | 4 quarter hours
Applied Abstract Algebra II .
MAT 400 is a prerequisite for this class.
MAT 421 | BASIC BIOSTATISTICS | 4 quarter hours
This course includes both data analysis and experimental design, up to and including survival analysis such as used in the analysis of clinical trials. The run will be supplemented by standard topics with application areas relevant to drug exploitation, including pharmacokinetics, clinical trials, bioequivalence, and pharmacoepidemiology .
MAT 453 or instructor consent is a prerequisite for this class.
MAT 424 | ADVANCED BIOSTATISTICS | 4 quarter hours
The overall objective is the growth of statistical literacy and skills in the analysis of biological and medical data including : generalized analogue models, analysis of perennial measures, log-linear models, clinical trials and calculator applications .
MAT 421 is a prerequisite for this class.
MAT 425 | SURVIVAL ANALYSIS | 4 quarter hours
basic quantities and models in survival psychoanalysis, types of censoring and truncation data, estimate for diverse survival models, nonparametric estimate of hazard and survival functions, comparing survival times between unlike groups, the proportional hazard and accelerated life models for regression analysis with failure-time data and model checking methods. Appropriate background is one semester of use statistics or equivalent .
MAT 426 | GENERALIZED LINEAR MODELS | 4 quarter hours
Applications of generalize linear models. Topics include generalized linear models for non-normal continuous response, models for binary and polynomial reply data, models for count data, and analysis of discrepancy and covariance. The classify of generalize linear models contains the models most normally used in statistical practice .
(DSC 324 or DSC 323 or MAT 448) and (MAT 349 or MAT 451) are prerequisites for this class.
MAT 427 | BAYESIAN STATISTICS | 4 quarter hours
Comparison of Bayesian and frequentist methods, conditional probability, Bayes theorem, conjugate distributions, computational methods, hands-on Bayesian datum analysis using allow software, interpretation and presentation of analysis results. Students will learn to use software packages including OpenBUGS. The absolve software broadcast R will be utilized for data analysis .
MAT 349 or MAT 351 or MAT 451 is a prerequisite for this class.
MAT 434 | TOPOLOGY | 4 quarter hours
An insertion to point-set topology : metric spaces, topological spaces, continuity, connection, and compactness .
Grade of C-minus or better in (MAT 335 or ECO 435 or MAT 680 or a transfer equivalent) or instructor permission is a prerequisite for this class.
MAT 435 | MEASURE THEORY | 4 quarter hours
This is a class in Lebesque integration ; the discipline of measure spaces and measurable functions ; the basic theorem of Lebesque integration ; Egoroff ‘s theorem, the monotone limit theorem, the Lebesgue dominated convergence theorem ; an introduction to Lp spaces, Holder ‘s inequality, Minkowski ‘s inequality ; Fubini ‘s theorem .
MAT 336 or MAT 434 is a prerequisite for this course.
MAT 436 | FUNCTIONAL ANALYSIS | 4 quarter hours
This course is an insertion to the basic theory of functional analysis. Students will study normed, Banach, and Hilbert Spaces and the theory of jump linear functionals and operators acting on them. The contraction function and the fix point theorem are besides studied with applications to sequence and officiate spaces .
MAT 434 and (MAT 370 or MAT 470) is a prerequisite for this class.
MAT 437 | COMPLEX ANALYSIS | 4 quarter hours
course topics : complex functions ; building complex differentiation and integration ; serial and sequences of complex functions. Cross-listed with MAT 337 .
(MAT 335 or MAT 434 or MAT 680) is a prerequisite for this class.
MAT 441 | APPLIED STATISTICS I | 4 quarter hours
Parametric and non-parametric statistical inferential methods for the univariate and bivariate situations using SAS and R. Specific topics include classical and exploratory graphic & numeral methods of data descriptions ; inference about means, medians, and associations including analysis of variance and analogue regression. Data analytic projects are an integral character of the run .
MAT 442 | APPLIED STATISTICS II | 4 quarter hours
A continuance of MAT 441. Repeated measures design, association, analysis of covariance, and multivariate relationships. Diagnostics and model build. Methods of categorical data analysis. logistic regression and log-linear models. Data analytic projects using SAS and R are an integral depart of the naturally .
MAT 441 or MAT 448 is a prerequisite for this class.
MAT 443 | APPLIED STATISTICS III | 4 quarter hours
A good continuation of MAT 442. The naturally material generalize univariate methods of inference to multivariate situations using SAS and R. Specific topics include canonic correlation coefficient, discriminate analysis, principal part analysis, factor analysis, and multivariate analysis of variability. emphasis in the curse is on data analytic projects .
MAT 442 is a prerequisite for this class.
MAT 448 | STATISTICAL METHODS USING SAS | 4 quarter hours
The SAS scheduling linguistic process. Data exploration, description and display. Inference methods for continuous and categorical data. analysis of variation models and regression procedures .
MAT 449 | STATISTICAL DATA MANAGEMENT | 4 quarter hours
Students learn data organization and structures, design of statistical databases, statistical software analysis, basic structure of relational databases, SAS Macros, Python and R functions, complex SQL statements, and advanced data manipulation techniques .
MATT 441 (or MAT 448) is a prerequisite for this class.
MAT 450 | ADVANCED STATISTICAL COMPUTING | 4 quarter hours
Advanced statistical computing methods used in modern scientific investigation. Topics include data management, random numeral generation, resampling methods, numeral optimization, Markov Chain Monte Carlo, smoothing methods, data mine : bunch and classification .
MAT 441 and MAT 451 are prerequisites for this class.
MAT 451 | PROBABILITY AND STATISTICS I | 4 quarter hours
The class covers elements of probability theory, distributions of random variables and analogue functions of random variables, moment generating functions, and discrete and continuous probability models. Appropriate background would be a course in multivariable calculus .
MAT 452 | PROBABILITY AND STATISTICS II | 4 quarter hours
A sequel of MAT 451. More continuous probability model. Laws of big numbers and the central restrict theorem. Sampling distributions of certain statistics. An introduction to the theory of appraisal and principals of guess test .
MAT 451 is a prerequisite for this class.
MAT 453 | PROBABILITY AND STATISTICS III | 4 quarter hours
A continuance of MAT 452. More on guess quiz, most herculean, uniformly most knock-down, and likelihood proportion tests. presentation to the analysis of variance ; linear regression ; categoric data analysis, and nonparametric methods of inference .
MAT 452 is a prerequisite for this class.
MAT 454 | MULTIVARIATE STATISTICS | 4 quarter hours
The multivariate normal distribution. The general linear model. Multivariate regression and analysis of variation ; discriminant analysis ; principal component and factor psychoanalysis ; applications and use of statistical software. Cross-listed with MAT 354 .
MAT 453 is a prerequisite for this class.
MAT 455 | STOCHASTIC PROCESSES | 4 quarter hours
Discrete Markov chains and random walks, give birth and death processes, Poisson march, queuing systems, and renewal processes.Cross-listed as MAT 355 .
MAT 452 is a prerequisite or a co-requisite for this class.
MAT 456 | APPLIED REGRESSION ANALYSIS | 4 quarter hours
dim-witted linear, multiple, polynomial and general analogue regression models. Model diagnostics ; Model choice and Validation. Cross-listed with MAT 356 .
MAT 453 is a prerequisite for this class.
MAT 457 | NONPARAMETRIC STATISTICS | 4 quarter hours
Inference concerning location and scale parameters, good of match tests, association analysis and tests of randomness using distribution free procedures. Bootstrap techniques. Smoothing methodologies. Cross-listed with MAT 357 .
MAT 453 is a prerequisite for this class.
MAT 458 | STATISTICAL QUALITY CONTROL | 4 quarter hours
history ; Deming guide to choice ; graphic techniques of procedure dominance ; Schewhart ‘s operate charts for means, ranges, standard deviations, individual measurements, and attributes ; serve capabilities and statistical tolerance ; cumulative-sum charts. product liability ; adoption sample ; intersection and summons design ; applications and case studies .
MAT 459 | SIMULATION MODELS AND MONTE CARLO METHOD | 4 quarter hours
Techniques of calculator simulation of the authoritative univariate and multivariate probability models, and such random processes as random walks, Markov chains, and queues. Cross-listed with MAT 359 .
MAT 453 is a prerequisite or a co-requisite for this class.
MAT 460 | TOPICS IN STATISTICS | 4 quarter hours
One of the comply topics : clinical trials ; Reliability and life test ; Categorical data psychoanalysis ; Bootstrapping ; Data Mining ; Response Surface Methodology ; Meta analysis ; Survival Models .
MAT 453 or instructor consent is a prerequisite for this class.
MAT 461 | ACTUARIAL SCIENCE I: THEORY OF INTEREST | 4 quarter hours
hypothesis of pastime : theory and application of compound interest to annuities, amortization schedules, sinking funds, bonds, and give rates. Cross-listed as MAT 361 .
MAT 462 | ACTUARIAL SCIENCE II: BASIC CONTINGENCIES | 4 quarter hours
basic Contingencies : The theory and applications of eventuality mathematics in life and health insurance annuities and pensions, from both a probabilistic and a deterministic vantage point. Topics include survival distribution and life tables, life insurance and biography annuities. Cross-listed as MAT 362 .
MAT 461 is a prerequisite for this class and MAT 452 is a corequisite for this class.
MAT 463 | ACTUARIAL SCIENCE III: ADVANCED CONTINGENCIES | 4 quarter hours
boost Contingencies : A sequel of MAT 462. Topics include net income premiums, net premium reserves, multiple biography functions, multiple decrease models, and evaluation theory for pension plans. Cross-listed with MAT 363 .
MAT 462 is a prerequisite for this class.
MAT 464 | LOSS MODELS I | 4 quarter hours
austereness and frequency models, aggregate models, coverage modifications, risk measures, construction and survival of parametric models. Cross-listed with MAT 364 .
MAT 453 is a prerequisite for this class.
MAT 465 | LOSS MODELS II | 4 quarter hours
bayesian credibility, Buhlmann credibility, policy and reinsurance coverages, price and reserve. Cross-listed with MAT 365 .
MAT 464 is a prerequisite for this class.
MAT 466 | MATHEMATICAL DEMOGRAPHY | 4 quarter hours
introduction to demography, mortauty table construction and methods of population and demographic analysis .
MAT 453 is a prerequisite for this class.
MAT 467 | CREDIBILITY THEORY | 4 quarter hours
Credibility theory and loss distributions with applications to casualty policy classification and ratemaking .
MAT 462 is a prerequisite for this class.
MAT 468 | MATHEMATICS FOR FINANCE | 4 quarter hours
The course covers the mathematics of fiscal derivatives, investment strategies, arbitrage, put-call parity, binomial models for european options and pastime rates, Black-Scholes formula, hedge, lognormal models for asset prices, alien options, valuation using Monte-Carlo, and embedded options in annuity products. Cross-listed with MAT 368. MAT 451 is a co-requisite for this run .
MAT 451 is a co-requisite for this course.
MAT 469 | STOCHASTIC CALCULUS | 4 quarter hours
The course introduces students to the mathematical tools and techniques used in advanced Financial Theory. Topics include Brownian motion and Ito ? s lemma, stochastic integrals, stochastic differential equations, jump processes, applications to option pricing and matter to rate models .
MAT 455 and MAT 468 are prerequisites for this course.
MAT 470 | ADVANCED LINEAR ALGEBRA | 4 quarter hours
Vector spaces and subspaces, basis and dimension ; matrix representation of linear transformations and change of basis ; null spaces and ranges ; double spaces ; eigenvalues, eigenvectors, and diagonalization ; Cayley-Hamilton Theorem ; inner product spaces and Gram-Schmidt orthogonalization ; Jordan canonic form and applications. Cross-listed with MAT 370 .
(Grade of C-minus or better in MAT 262 or MAT 672) and (Grade of C-minus or better in MAT 141 or MAT 215 or MAT 660) or instructor permission is a prerequisite for this course.
MAT 471 | GROUP THEORY | 4 quarter hours
course topics : Classes of groups ; actions of groups on sets ; Sylow theorems ; decomposition of groups ; structure of finite abelian groups .
.Grade of C-minus or better in MAT 310 or instructor permission is a prerequisite for this class
MAT 472 | FIELDS AND GALOIS THEORY | 4 quarter hours
path topics : commutative rings and fields ; irreducible polynomials and field extensions, junction of roots, algebraic extensions, splitting and normal fields, cyclic extensions, the Galois group, and the Fundamental theorem of Galois theory. Cross-listed with MAT 312 .
(MAT 311 or MAT 473) and MAT 471 are prerequisites for this course.
MAT 473 | RINGS AND MODULES | 4 quarter hours
run topics : Rings and Algebras ; classes of unique factorization domains ; modules and principal isomorphism theorems, classes of modules, decomposition of finitely generate modules ; Jordan and rational canonic form of a matrix .
MAT 311 or MAT 471
MAT 481 | FOURIER ANALYSIS AND SPECIAL FUNCTIONS | 4 quarter hours
The run covers the basic principles of discrete and continuous Fourier analysis and its applications. Some of the topics covered are Fourier series, discrete Fourier transforms, fast Fourier transforms, and Fourier transforms. Appropriate background would be tartar and a course in introductory linear algebra .
MAT 482 | PARTIAL DIFFERENTIAL EQUATIONS | 4 quarter hours
initiation to partial derivative differential equations and their applications. Topics include separation of variables ; the heat, wave and Laplace equations ; boundary-value problems ; Fourier series. Some time will be spent on physical applications and non-homogeneous or time-dependent boundary conditions .
MAT 304 or MAT 335 or MAT 437 or MAT 644 is a prerequisite for this class.
MAT 484 | MATHEMATICAL MODELING | 4 quarter hours
Modeling of real world problems using numerical methods. Includes a theory of model and a study of particular models, selected from deterministic, stochastic, continuous, and discrete models. Appropriate background would be a run in introductory linear algebra. ( CROSS-LISTED WITH MAT 384. )
MAT 485 | NUMERICAL ANALYSIS I | 4 quarter hours
Use of a digital calculator for numeric calculation. error analysis, gaussian elimination and Gauss-Seidel method, solutions of linear and nonlinear equations, function evaluation, cubic splines, approximation of integrals and derivatives, Monte Carlo methods. Appropriate background would be calculus, introductory linear algebra, and a programming course. ( CROSS-LISTED WITH MAT 385. )
MAT 486 | NUMERICAL ANALYSIS II | 4 quarter hours
theory and algorithm for effective calculation including the Fast Fourier Transform. numerical solution of nonlinear systems of equations. minimization of functions of respective variables. sparse systems of equations and eigenvalue problems. Cross-listed with CSC 386 /486, MAT 386 .
MAT 485 is a prerequisite for this class.
MAT 487 | OPERATIONS RESEARCH: LINEAR PROGRAMMING | 4 quarter hours
linear scheduling, integer program and LP relaxation, the duality theorem, simplex algorithm, inside point methods, applications to industrial engineering. appropriate background would be introductory linear algebra and computer program. ( CROSS-LISTED AS MAT 387 )
MAT 488 | OPERATIONS RESEARCH: OPTIMIZATION THEORY | 4 quarter hours
Convex optimization, quadratic optimization problems, Lagrange multipliers and generalization to inequality constraints, alternating direction method acting of multipliers ( ADMM ), unconstrained minimization, applications to industrial mastermind including machine teach. Appropriate background would be introductory analogue algebra and computer scheduling. ( CROSS-LISTED AS MAT 388 )
MAT 489 | QUEUING THEORY WITH APPLICATIONS | 4 quarter hours
Discrete and continuous-time Markov chain models, Queuing systems, and topics from renewal and dependability theory .
MAT 453 is a prerequisite for this class.
MAT 491 | DATA MINING | 4 quarter hours
This path will provide students with methodologies of mine varied data and discovering cognition from data. Students will learn classification, regularized regression, placid spline, nervous network, decision tree, SVM, PCA and clustering. The lectures will be complemented with hands-on experience with data mining software R to allow students develop some hardheaded skills .
MAT 452 and MAT 456 are prerequisites for this class.
MAT 494 | GRAPH THEORY | 4 quarter hours
This course studies graph theory and its applications. Topics include trees, Eulerian circuits, Hamiltonian cycles, matchings, graph color problems, random graph, and random walks on graph. Appropriate setting would be a path in introductory analogue algebra .
MAT 495 | DYNAMIC PROGRAMMING | 4 quarter hours
optimization of consecutive decision processes. Markov decision models. Contraction mapping methods. Applications drawn from inventory theory and output manipulate .
MAT 496 | GAME THEORY | 4 quarter hours
The minimax theorem for two-person, zero-sum games. Two-person general-sum games and noncooperative person games ; Nash equilibrium .
MAT 498 | PROBLEM SOLVING IN MATHEMATICS | 2-4 quarter hours
course topics : problem solving in respective topics from GRE Subject examination in Mathematics. Consult course agenda for current offerings. course may be repeated for credit when entitle and content change. ( 2 quarter hours )
MAT 512 | APPLIED TIME SERIES AND FORECASTING | 4 quarter hours
Development of the Box-Jenkins methodology for the identification, estimate and fit of ARIMA, and transfer-function stochastic models for the function of analyzing and forecasting stationary, non-stationary, and seasonal worker time series data. The course emphasizes practical time series data analysis, using calculator packages and includes applications to economic, business and industrial prediction .
MAT 441 or MAT 448 or MAT 453 is a prerequisite for this class.
MAT 515 | FINANCIAL MODELING | 4 quarter hours
The course expounds on probabilistic methods used in risk-based capital allotment and risk management. Topics include gaussian and Non-Gaussian model, including model of volatility and correlations, copulas, Extreme Value Theory, VaR, TVaR and applications to portfolio allotment and stress test .
MAT 456 and MAT 512 are prerequisites for this course.
MAT 526 | SAMPLING THEORY AND METHODS | 4 quarter hours
dim-witted random, stratified, systematic and bunch sampling. multistage and area sample distribution. Random-response and capture-release models. Cross-listed as MAT 326 .
MAT 453 is a prerequisite for this class.
MAT 528 | DESIGN AND ANALYSIS OF EXPERIMENTS | 4 quarter hours
Single-factor fixed, random and interracial designs with and without restrictions on randomizations, including randomized block designs, Latin & Graeco-Latin squares. Factorial and fractional factorial experiments. Nested and split-plot designs. Confounding and answer surface methodology .
MAT 453 is a prerequisite for this class.
MAT 595 | GRADUATE THESIS RESEARCH | 2-4 quarter hours
A dissertation option is available to graduate students who wish to pursue an stretch freelancer project. Students would work under the guidance of a faculty mentor. naturally may be repeated for recognition. ( 2 one-fourth hours )
MAT 596 | ADVANCED TOPICS IN ALGEBRA | 4 quarter hours
Consult course schedule for current offerings. course may be repeated for credit when deed and content transfer .
MAT 597 | ADVANCED TOPICS IN ANALYSIS | 4 quarter hours
Consult course schedule for stream offerings. course may be repeated for accredit when title and content transfer .
MAT 598 | ADVANCED PROBLEM SOLVING IN ALGEBRA AND ANALYSIS | 2-4 quarter hours
course topics : problem solving in assorted topics in Algebra and Analysis. Consult course schedule for current offerings. course may be repeated for credit when title and content change. ( 2 quarter hours )
MAT 599 | INDEPENDENT STUDY | 1-4 quarter hours
Offered by agreement. Approval by department chair required. ( variable credit )
MAT 600 | EXPERIMENTATION, CONJECTURE, AND REASONING WITH NUMBERS | 4 quarter hours
This class will focus on furthering the participants ‘ numeral sense together with providing them with opportunities to : 1 ) habit and discuss the roles of experiment, speculation, and coherent reason in developing numerical understand ; 2 ) Appreciate the value of algebraic note in problem solve by comparing solutions done both with and without algebra ; 3 ) prosecute in mathematical talk and writing with discussion of ( a ) how to evaluate accurate vs. inaccurate statements, ( bacillus ) what degree of detail is appropriate in an answer given the compass point of the problem, ( c ) what ways of presenting solutions are desirable for assorted audiences ; 4 ) Discuss the distinction between “ how ” a mathematical strategy works and “ why ” it works, and articulate the pedagogical value of knowing the “ why .
MAT 605 | GEOMETRY FOR MIDDLE SCHOOL TEACHERS | 4 quarter hours
An introduction to geometry designed to engage students in the construction, description, and analysis of geometric objects, including cubic objects. These activities will be used to generate questions and hypotheses that will lead to more abstract concepts and general arguments. emphasis throughout will be on informal intelligent, experimental methods, inductive deoxyadenosine monophosphate well as deductive arguments, local arrangement, and the development of mathematical think. Appropriate engineering will be used to explore hypotheses and support numerical intelligent. Topics will include : polyhedron, and their nets, cross sections, and projections ; triangles, quadrilaterals, and polygons ; congruity and similarity ; the Pythagorean theorem ; margin, area, and volume ; circles and spheres, isotropy and transformations ; and tessellations. The course will besides include discussion and reflection on learning mathematics .
MAT 608 | INVESTIGATING HIGH SCHOOL MATHEMATICS | 4 quarter hours
Drawing on high school mathematics message, students will identify and explore the mathematical themes that might form the content of a 12th grade finishing touch run. In the process, they will reflect on and discuss the major issues encountered when learning the mathematical concepts that form the footing of high school mathematics, identify ways to collaborate in decree to improve mathematics learning, and identify ways in which they can take leadership roles in mathematics teaching and learn .
MAT 609 | TEACHING AND LEARNING SECONDARY SCHOOL MATHEMATICS | 4 quarter hours
Theories, methods, materials and techniques for teaching and learning mathematics in secondary and upper elementary schools. This class is required for students seeking secondary coil mathematics certification .
MAT 610 | CALCULUS I | 4 quarter hours
A reappraisal of topics from precalculus using algebraic, numerical, and graphic perspectives including linear functions, exponential functions, logarithm, polynomials, and trigonometric functions. An initiation to limits, continuity, the derivative, and basic properties of substantial numbers .
MAT 611 | CALCULUS II | 4 quarter hours
A lengthiness of Math 610. The derivative and its applications, including optimization and related rates. introduction to integration and numerical algorithm using graphing calculators. Offered every winter .
MAT 610 is a prerequisite for this class.
MAT 612 | CALCULUS III | 4 quarter hours
A good continuation of Math 611. Techniques of symbolic and numeric integration with geometric applications. Sequences, series, and ability series. Offered every leap .
MAT 611 is a prerequisite for this class.
MAT 618 | TOPICS IN CALCULUS AND DIFFERENTIAL EQUATIONS | 4 quarter hours
Taylor serial and Taylor ‘s theorem, parametric equations, dissociable differential equations, slope fields, Euler ‘s method acting. Offered every Summer .
MAT 612 is a prerequisite for this class.
MAT 620 | GEOMETRY | 4 quarter hours
Axiom systems, types of reasoning used in proof, Euclidean geometry results with assiduity on triangles and circles, initiation to non-Euclidean geometry, and introduction to geometry classroom software. Offered every early winter .
MAT 660 is a prerequisite for this course.
MAT 621 | TRANSITION TO ALGEBRA FOR MIDDLE SCHOOL TEACHERS | 4 quarter hours
In this course, teachers will begin the study of algebra as a generalization of numeral and operation, building on their newfangled sympathize of those topics from previous courses. careful attention to reasoning about the habit of variables and understanding the logic behind solving equations and inequalities will aid in the transition to a full discussion of high school algebra. Teachers will be introduced to high choice resources that will help them create effective algebraic learning environments for their students .
MAT 600, MMT 401 and MAT 605 are a prerequisite for this class.
MAT 622 | ALGEBRA FOR MIDDLE SCHOOL TEACHERS I | 4 quarter hours
This class is the first base of a 3-quarter sequence designed in part to prepare elementary and middle grade teachers to teach an algebra course to qualified 8th grade students in their schools. It is based on a imagination of mathematics teaching throughout the grades that continuously builds students ‘ algebraic skills and thinking. This inaugural class in the sequence emphasizes problem-solving as an entrance point into algebra for mathematics learners. Students see algebra as an active summons for solving problems and as arising naturally as a way to generalize the laws of arithmetical, analyze patterns, and report relationships in tables, graph, and equations. In addition, students review and examine foundational concepts in algebra ( variables, equations, relations, graph, slopes of lines, and equations of lines ) and are introduced to research on the exploitation of algebraic think in center grade students .
MAT 623 | ALGEBRA FOR MIDDLE SCHOOL TEACHERS II | 4 quarter hours
The second gear course in the algebra sequence builds on the first and maintains emphases on problem-solving, deeper reason of the central concepts of beginning algebra, and awareness of difficulties students have when encountering the submit for the first time. Topics include systems of linear equations, solving linear inequalities and systems of inequalities, absolute values equations and inequalities, and quadratic functions .
MAT 624 | FUNCTIONS AND MODELING | 4 quarter hours
advance concepts in beginning algebra provide a basis for a deep treatment of the relationship between functions and data, and lay the basis for the development of polynomial, exponential, and logarithmic models. The course will integrate the use of engineering such as graphing calculators and spreadsheets .
MAT 631 | HISTORY OF MATHEMATICS THROUGH PROBLEM SOLVING | 4 quarter hours
Topics include the development of calculus, probability hypothesis, act hypothesis, non-Euclidean geometry, and set hypothesis. Offered every winter .
MAT 620 and MAT 670 are co-requisites for this class.
MAT 632 | HISTORY AND CULTURAL FOUNDATIONS OF MATHEMATICS | 4 quarter hours
This course is a cross-cultural surveil of the history of mathematics, with emphasis placed on the development of concepts encountered by students in elementary and middle school. The run will besides serve as a capstone for the program in that it will include references to content from all the earlier courses and will explicitly ask teachers to make connections across the center school mathematics course of study. The students will complete a small group research project in which they choose a mathematical concept from the program and use it as a focal indicate to study the development of mathematical ideas across meter and across cultures .
MAT 640 | MULTIVARIABLE CALCULUS I | 4 quarter hours
Functions of several variables, vectors, department of transportation products and hybridization products, fond specialization, directing derivatives, optimization, Lagrange multipliers, arctic and spherical coordinates. Use of software packages to illustrate three dimensional objects. Offered fall 2017 and every Summer as of 2018 .
MAT 618 is a co-requisite for this class.
MAT 641 | MULTIVARIABLE CALCULUS WITH LINEAR ALGEBRA FOR MATHEMATICS TEACHERS | 4 quarter hours
multiple consolidation, production line and surface integrals, switch of variable in multiple integration, Green ‘s and Stokes ‘ theorems. An initiation to matrices, determinants, linear transformations, and eigenvalues .
MAT 640 and MAT 671
MAT 642 | MULTIVARIABLE CALCULUS II | 4 quarter hours
Double and iterated integrals, area by bivalent integrals, ternary integrals, triple integrals in cylindrical and spherical coordinates, change of variable star in multiple consolidation, credit line and airfoil integrals, theorems of Green, Stokes, and Gauss. Offered Winter 2018 and every fall as of 2018 .
MAT 640 is a prerequisite for this class.
MAT 643 | IDEAS OF CALCULUS IN THE MIDDLE SCHOOL CURRICULUM | 4 quarter hours
The class will introduce students to the “ bad ideas ” of Calculus including limits, derivatives, and integrals. The naturally will emphasize how the mathematics in the middle school course of study can lay a foundation for the study of continuous mathematics and to the function that Calculus plays in the sciences. In particular, direct connections to the topics of this run and the middle school course of study will be made by studying activities from course of study materials presently used in CPS that are relevant to the topics of Calculus. trigonometry from the position of the middle educate classroom will be used as the launch point for introducing the major ideas of the course. The course will besides give the students the opportunity to understand the interplay between the concepts and tools they learned in the MMT 415-417 sequence and Calculus .
MAT 644 | DIFFERENTIAL EQUATIONS | 4 quarter hours
This course will continue the study of differential gear equations ( DEs ) begun in MAT 618. Topics include solutions and applications of analogue DEs, second order DEs with changeless coefficients ; linear systems : eigenvalues and eigenvectors of matrices, phase portraits and explicit solutions ; nonlinear planar systems : linearization and stability analysis. Offered every early spring as of 2018 .
MAT 618 is a prerequisite for this class.
MAT 649 | DATA ANALYSIS AND PROBABILITY | 4 quarter hours
This path covers the cardinal concepts of probability that are depart of the middle school course of study and late inquiry findings on student memorize of probability and classroom implications of this research. In summation, it covers the principles of diagrammatically displaying, collecting and analyzing data with and without the use of engineering. Topics will include measures of central tendency and distribution, graphic representations of data ( histograms, boxplots, bar charts, proto-indo european charts, and pipeline graph ), and the design of experiments and simulations .
MAT 650 | PROBABILITY & STATISTICS FOR MATHEMATICS TEACHERS I | 4 quarter hours
Combinatorics, sets, probability, random variables, distribution and density functions, multiple consolidation, standard probability laws, jointly distributed random variables. Use of graphing calculators, applets, and software packages to illustrate concepts. Offered every winter .
MAT 640 and MAT 660 are prerequisites for this course.
MAT 651 | PROBABILITY & STATISTICS FOR MATHEMATICS TEACHERS II | 4 quarter hours
cardinal restrict theorem, charge and interval appraisal of parameters, guess quiz, least squares and regression. Offered every leap .
MAT 650 is a prerequisite for this class.
MAT 660 | DISCRETE MATHEMATICS | 4 quarter hours
Logic and techniques of proof, mathematical initiation, sets and functions, relations, presentation to count theory and combinatorics. Offered every fall .
MAT 665 | DISCRETE STRUCTURES WITH A TRANSITION TO HIGHER MATHEMATICS | 4 quarter hours
A conversion to advance courses having a greater vehemence on proof and abstraction. Techniques of proof, logic, sets and functions, number theory, recursive sequences, mathematical evocation, and an initiation to combinatorics .
MAT 670 | ABSTRACT ALGEBRA I | 4 quarter hours
Examines the integers, prime numbers, the Euclidean algorithm, the singularity of prime factorization, comparison relations, rational numbers, veridical numbers, and building complex numbers. Provides examples of groups, rings, and fields and besides covers the Fundamental Theorem of Algebra and roots of polynomials of humble degree. Offered every other Winter as of 2018 .
MAT 660 is a prerequisite for this course.
MAT 671 | ABSTRACT ALGEBRA II | 4 quarter hours
Examines modular arithmetic, the irreducibility of polynomials over different fields, criteria for solvability by radicals, intellectual values of trigonometric functions, remainder functions, partial fraction decay, and geometric constructions with rule and compass. Along with Math 670, this course provides the theoretical foundation for many topics covered in high school mathematics courses. Offered every early spring as of 2018 .
MAT 670 is a prerequisite for this class.
MAT 672 | LINEAR ALGEBRA | 4 quarter hours