Math 098  Introduction to College Math A (414 additive credits) Intended for students whose major requires Math 113, Math 138, Math 135, or Math 116. Topics include: Elementary Algebra, Introduction to Graphs and Functions, Linear Functions, Equations, Inequalities, Systems of Linear Equations, Radicals and Complex Numbers, Quadratic Equations, Rational Expressions and Rational Functions, Functions and Relations, Exponential and Logarithmic Functions and Equations. Introduction to the logistics of applied calculus. Diverse applications will be emphasized throughout the course. This course may not be used to satisfy degree requirements in any program. Effective From: Spring 2009 Until: Spring 2011
Math 099  Introduction to College Math B (414 additive credits) Intended for students whose major requires Math 111. Topics include: Elementary Algebra, Introduction to Graphs and Functions, Linear Functions, Equations, Inequalities, Systems of Linear Equations, Radicals and Complex Numbers, Quadratic Equations, Rational Expressions and Rational Functions, Functions and Relations, Exponential and Logarithmic Functions and Equations. Introduction to the logistics of applied calculus. Diverse applications will be emphasized throughout the course. This course may not be used to satisfy degree requirements in any program. Effective From: Spring 2009 Until: Spring 2011
Math 101  University Mathematics IITrigonometry (414) Intended for students whose major requires Math 113, Math 135, or Math 138. Prerequisite: Placement by performance on standardized entrance examinations. This course reviews the trigonometry needed for higher level mathematics courses. The following topics are covered: radian measure, conic sections, trigonmetric functions and identities, laws of sines and cosines, logarithmic equations, partial fraction decomposition, systems of linear and nonlinear equations, functions in polar coordinates, and hyperbolic functions. Degree credit awarded for the following majors only: Hist, PTC, MGMT, and STS. Effective From: Spring 2009 Until: Summer 2011
Math 101  Foundations of Mathematics for the Liberal Arts (303) Intended for students in degree programs offered by HSS and History. This course reviews principles of algebra and the foundations of mathematics. Degree credit awarded for degrees offered by HUM and History. Effective From: Fall 2011
Math 102  Modern Precalculus (6 credits) This course is an intensive nontraditional approach to precalculus employing curriculum innovations for the preparation of students for college calculus. The course infuses calculus techniques into the precalculus curriculum. The format includes both regular class and workshop environments with a focus on student problem solving. Course meets on Saturdays in the fall and spring terms and M, T, W, R in the summer, second session. This course is only available to high school students. Effective From: Spring 2009
Math 103  University Mathematics I (41 4 additive credits) Prerequisite: Math 098 with a grade of C or better or placement by performance on standardized entrance examinations. Consists of a series of projects, many of which introduce and use elementary differentiation and/or integration in which the students perform sustained algebraic and trigonometric computations. The projects involve the following topics: polynomials, rational expressions, expressions involving radicals, exponential and logarithmic functions, right triangle trigonometry, and the solution of linear and quadratic equations. This course may not be used to satisfy degree requirements in any program. Effective From: Spring 2009
Math 104  University Mathematics II (41 4 additive credits) Prerequisite: Math 103 with a grade of C or better or placement by performance on standardized entrance examinations. Consists of a series of projects, many of which introduce and use elementary differentiation and/or integration in which the students perform sustained algebraic and trigonometric computations. The projects involve the following topics: radian measure, conic sections, trigonometric functions and identities, law of sines and cosines, logarithmic equations, partial fraction decomposition, systems of linear and nonlinear equations, functions in polar coordinates, and hyperbolic functions. This course may not be used to satisfy degree requirements in any program. Effective From: Spring 2009
Math 105  Elementary Probability and Statistics (303) Consider notions of probability. Topics include the binomial and normal distributions, expected value, and variance. The notions of sampling, hypothesis testing, and confidence intervals are applied to elementary situations. Effective From: Fall 2011
Math 106  University Mathematics I A (414) Prerequisite: Math 098 with a grade of C or better or Math 099 with a grade of C or better or placement by performance on standardized entrance examinations. Intended for students whose major requires Math 113 or Math 138. Intended for students whose major requires Math 113, Math 135 or Math 138. Consists of a series of projects, many of which introduce and use elementary differentiation and/or integration in which the students perform sustained algebraic and trigonometric computations. The projects involve the following topics: polynomials, rational expressions, expressions involving radicals, exponential and logarithmic functions, right triangle trigonometry, and the solution of linear and quadratic equations. Degree credit awarded for the following majors only: Hist, PTC and STS. Effective From: Spring 2009 Until: Spring 2011
Math 107  University Mathematics BI (303) Linear functions,
equations, inequalities, systems of linear equations, quadratic equations, elementary functions, graphing
functions.
Effective From: Fall 2012
Math 107( archived )  University Mathematics II A (414) Intended for students whose major requires Math 113 or Math 138. Prerequisite: Math 106 with a grade of C or better. Consists of a series of projects, many of which introduce and use elementary differentiation and/or integration in which the students perform sustained algebraic and trigonometric computations. The projects involve the following topics: radian measure, conic sections, trigonometric functions and identities, laws of sines and cosines, logarithmic equations, partial fraction decomposition, systems of linear and nonlinear equations, functions in polar coordinates, and hyperbolic functions. Degree credit awarded for the following majors only: Hist, PTC and STS. Effective From: Spring 2009 Until: Spring 2011
Math 108  University Mathematics I B (414) Intended for students whose major requires Math 111. Linear functions, equations, inequalities, systems of linear equations, quadratic equations, polynomials, rational expressions, expressions involving radicals, partial fraction decomposition, conic sections, graphing functions. Effective From: Spring 2009
Math 109  University Mathematics II B (414) Intended for students whose major requires Math 111. Prerequisite: Math 108 with a grade of C or better. Consists of a series of projects, many of which introduce and use elementary differentiation and/or integration in which the students perform sustained algebraic and trigonometric computations. The projects involve the following topics: radian measure, conic sections, trigonometric functions and identities, laws of sines and cosines, logarithmic equations, partial fraction decomposition, systems of linear and nonlinear equations, functions in polar coordinates, and hyperbolic functions. Degree credit awarded for the following majors only: Hist, PTC and STS. Effective From: Spring 2009 Until: Spring 2011
Math 110  University Mathematics B II  Trigonometry (414) Intended for students whose major requires Math 111. Perequisite: Math 108 or placement by performance on standardized entrance examinations. Trigonometric functions and identities, laws of sines and cosines, logarithmic equations, systems of nonlinear equations, polar coodinates. Effective From: Fall 2011
Math 111  Calculus I (414) Prerequisite: Math 139 with a grade of B or better, or placement by performance on standardized entrance examinations. Topics include limits, differentiation, applications of differentiation, and integration. Effective From: Spring 2013
Math 111H  Honors Calculus I (414) Admission to this course is by invitation, based on standardized entrance exams. Topics enhance those of Math 111 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009
Math 112  Calculus II (414) Prerequisite: Math 111 with a grade of C or better or Math 132 with a grade of C or better. Topics include integration, applications of integration, series, exponential and logarithmic functions, transcendental functions, polar coordinates, and conic sections. Effective From: Spring 2012
Math 112H  Honors Calculus II (414) Prerequisite: Math 111H with a grade of B or better or Math 111 with a grade of A or Math 132 with a grade of A. Topics enhance those of Math 112 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Fall 2012
Math 113  Finite Mathematics and Calculus I (303) Prerequisite: (Intended for Architecture students.) Math 107 with a grade of C or better, or Math 108 with a grade of C or better, or NJIT placement. An introduction to differential and integral calculus. Applications include area, volumes, curve lengths, surface area, centroids, and moments. Focus is on application throughout the course. Effective From: Fall 2013
Math 114  Finite Mathematics and Calculus II (404) Prerequisite: (Intended for Architecture students.) Math 113 with a grade of C or better. Topics include numerical methods, set theory and counting, series, descriptive statistics and basic probability, matrices, and optimization. Effective From: Spring 2009
Math 115  Elements of Geometry (303) A modern approach to the elements of geometry grounded in realworld applications. Topics included basic axiomatic, Euclidean geometry, nonEuclidean geometry, and transformational geometry. Applications and examples in architecture, engineering and science are integrated throughout the course. Effective From: Fall 2011
Math 116  Mathematics of Design (303) The course is project oriented, covering theories of proportion; tiling, symmetry, symmetry groups, and informal geometry; fractals; theory of graphs and knots; threedimensional design and polyhedra. The mathematics is oriented towards carrying out designs rather than a systematic development of mathematical theory. Effective From: Fall 2011
Math 120  Basic Concepts in Statistics (101) The course offers an introduction to the basic concepts in statistics. Topics include the role of statistics, data summary, normal distribution, elements of probability, and computation of mean and variance. This course will also include an introduction to statistical estimation and inference. Effective From: Spring 2012
Math 131  Calculus A (414) Prerequisites: Math 139 with a grade of B or higher and permission of the major advisor or placement. The course covers limits, continuity, differentiation, and related rates, also reviewing the foundations of algebra, precalculus, and trigonometry. (414) Math 131, 132, and 133 are equivalent to math 111 and math 112. Effective From: Spring 2013
Math 132  Calculus B (414) Prerequisites: Math 131 with a grade of C or higher or Math 111 with a grade of C or higher. The course covers optimization, integration, calculation of arc length, area, volume, and hyperbolic functions (414) Math 131, 132, and 133 are equivalent to Math 111 and Math 112 Effective From: Fall 2011
Math 133  Calculus C (414) Prerequisites: Math 132 with a grade of C or higher. The course covers integration, applications of integration, numerical integration, series, and polar coordinates. (414)Math 131, 132 and 133 are equivalent to Math 111 and Math 112. Effective From: Fall 2011
Math 135  Calculus for Business (303) Intended for students with major offered by SOM. Prerequisite: Math 107 with a grade of C or better or Math 108 with a grade of C or better or NJIT placement. An introduction to mathematics of business, principles of differential and integral calculus, and optimization. Effective From: Fall 2013
Math 138  General Calculus I (303) Intended for students who are not in Science or in Engineering. Prerequisite: Math 107 with a grade of C or better, or Math 108 with a grade of C or better or NJIT placement. An introduction to differential and integral calculus of a single variable. Effective From: Fall 2013
Math 139  Trigonometry and Principles of Differential Calculus (414) Prerequisites: Grade A in Math 108 or NJIT placement. Comprehensive review of trigonometry and precalculus topics integrated into an introduction to differential calculus. Topics covered include: Exponential, logarithmic and trigonometric functions, analytics trigonometry, conic sections, limits, derivatives, applications of differentiation. Effective From: Fall 2013
Math 211  Calculus III A (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, and Green's theorem. Students who are considering a major in Mathematical Sciences or who are undecided about their major should take Math 213. Effective From: Fall 2012
Math 211H  Honors Calculus IIIA (303) Prerequisite: Math 112H with a grade of B or better or Math 112 with a grade of A or Math 133 with a grade of A. Topics enhance those of Math 211 and concepts are studied in detail. Effective From: Fall 2012
Math 213  Calculus III B (404) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, and Green's, divergence, and Stokes' theorems. Effective From: Fall 2012
Math 213H  Honors Calculus III (404) Prerequisite: Math 112H with a grade of B or better or Math 112 with a grade of A or Math 133 with a grade of A. Topics enhance those of Math 213 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Fall 2012
Math 222  Differential Equations (404) Prerequisite: Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Methods for solving ordinary differential equations are studied together with physical applications, Laplace transforms, numerical solutions, and series solutions. Effective From: Fall 2012
Math 222H  Honors Differential Equations (404) Prerequisite: Math 112H with a grade of B or better or Math 112 with a grade of A or Math 133 with a grade of A. Topics enhance those of Math 222 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009 Effective From: Fall 2012
Math 225  Survey of Probability and Statistics (101) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Topics include descriptive statistics, elements of probability, random variables and distributions; mean and variance; introduction to estimation and inference. This course satisfies the Mathematics GUR in probability and statistics. However, degree credit will not be granted for both Math 225 and any other upper level course in probability and/or statistics. Effective From: Fall 2012
Math 226  Discrete Analysis (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. An introduction to discrete mathematics. An introduction to discrete mathematics. Topics include elementary set theory, logic, combinatorics, relations, and selections from graphs and trees and algebraic systems. Effective From: Fall 2012
Math 226H  Honors Discrete Analysis (404) Prerequisite: grade of B or better in Math 112H or grade of A in Math 112 or a grade of A in Math 133. An introduction to discrete mathematics. Topics enhance those of Math 226 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009
Math 227  Mathematical Modeling (404) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better and CS 115 with a grade of C or better or CS 113 with a grade of C or better or CS 100 with a grade of C or better or CS 101 with a grade of C or better. Corequisite: MATH 211 or MATH 213. An introduction to the theory and practice of mathematical modeling along with computer implementation of models during lab sessions. Techniques include scaling and dimension, fitting of data, linear and exponential models, elementary dynamical systems, probability, optimization, Markov chain modeling. Models are drawn from applications including biology, physics, economics, finance, and chemistry. Effective From: Fall 2014
Math 238  General Calculus II (303) Prerequisite: Math 138 with a grade of C or better or math 139 with a grade of C or better or Math 111 with a grade of C or better or placement. A continuation of Math 138. Topics include applications of integral calculus and an introduction to ordinary differential equations. Effective From: Spring 2013
Math 240  Numerical Mathematics Laboratory (303) Prerequisite: Math 112 with a grade of C or better, and CS 113 or knowledge of FORTRAN, C, or C++. Introduction to basic concepts and processes of numerical mathematics with emphasis on practical issues of implementation, use of numerical algorithms and software, and interpretation of numerical data. Weekly projects involving writing computer programs, presenting numerical results in tables and graphs, evaluation and approximation of standard numerical functions, roundoff errors and loss of significance, basic iterative processes, matrix arithmetic, random number generation, and Monte Carlo methods. Students gain experience using a programming language, such as C, and mathematical software, such as MATLAB. Effective From: Spring 2009
Math 244  Introduction to Probability Theory (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Topics include basic probability theory in discrete and continuous sample space, conditional probability and independence, Bayes' theorem and event trees, random variables and their distributions, joint distribution and notion of dependence, expected values and variance, moment generating functions, useful parametric families of distributions including binomial, geometric, hypergeometric, negative binomial, exponential, gamma, normal and their applications, simple case of central limit theorem and its uses. Effective From: Fall 2012
Math 245  Multivariate Probability and Stochastic Processes (303) Prerequisite: Math 244 with a grade of C or better or Math 333 with a grade of C or better. Topics include discrete and continuous multivariate distributions and their moments, multivariate normal distributions, order statistics, discrete and continuous Markov chains, Poisson processes, and Brownian motion processes. Effective From: Spring 2009
Math 246  Introduction to Financial Mathematics ((303)) Prerequisite: Math 135 with a grade of C or better or Math 138 with a grade of C or better or Math 111 with a grade of C or better. An introduction to the basics of simple interest and discount, compound interest and discount, and simple annuities. This course is primarily intended for students whose major only requires Calculus I. It cannot be used for credit towards major or minor degrees offered by the Department of Mathematical Sciences. Effective From: Spring 2009
Math 279  Statistics and Probability for Engineers (202) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. This course introduces methods of summarizing and analyzing engineering data and the importance of observing processes over time such as control charts. Descriptive statistics, plots and diagrams are then used to summarize the data. Elements of probability and random variables with their distributions along with mean and variance are taught. All this knowledge is then used as a platform towards covering how to do basic estimation and inference, including confidence intervals and hypothesis testing based on a single sample. Students taking this course cannot receive degree credit for Math 225, 244, or 333. Effective From: Fall 2012
Math 305  Statistics for Technology (303) Prerequisite: (Intended for students in Engineering Technology.) Math 111 with a grade of C or better, or Math 132 with a grade of C or better, or Math 138 with a grade of C or better. An introduction to the modern concepts of statistics needed by engineering technologists. Topics include organization of data, descriptive statistics, discrete and continuous probability distributions, sampling distribution and designs, estimation  one and two populations, tests of hypotheses. Effective From: Fall 2012
Math 309  Mathematical Analysis for Technology (404) Prerequisite: Math 112 with a grade of C or better, or Math 133 with a grade of C or better or Math 238 with a grade of C or better. Emphasis on partial derivatives; vector calculus, and multiple integrals. Effective From: Spring 2014
Math 310  Coop Work Experience I ( 3 Credits) Prerequisites: Completion of the sophomore year, departmental approval, and permission of the Office of Cooperative Education and Internships. Students gain majorrelated work experience and reinforcement of their academic program. Work assignments facilitated and approved by the coop office. Mandatory participation in seminars and completion of a report. Note: Normal grading applies to this COOP Experience Effective From: Spring 2013
Math 321  Introduction to the Finite Element Method (303) Prerequisite: Math 222 with a grade of C or better. An elementary introduction to the theory and practice of the finite element method (FEM) is given. The mathematical underpinnings covered in this course include the basics of Sobolev spaces, Galerkin's method and various other weak formulations. Mathematical modeling of different physical problems and their solution techniques are also discussed. Existing finite element programs will be introduced through a course project. Effective From: Spring 2009
Math 322  Differential Equations for Applications (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better or Math 238 with a grade C or better. An applied science study using differential equations as the vehicle for comprehension of the unknown. Introduction to firstorder differential equations and their applications to motion, cooling and electromechanical systems followed by higher order differential equations and their solutions. Study of methods of undetermined coefficients, variation of parameters, and many series and numerical methods. Includes Laplace transforms, matrix methods, and eigenvalue problems. Effective From: Fall 2012
Math 326  Discrete Analysis for Computer Engineers (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. An introduction to mathematical logic, Boolean algebra, and Karnaugh maps. Other topics include functions, equivalence relations and partially ordered sets, counting, graph theory and finite state machines. The emphasis is on computation but proofs will be addressed. Students cannot receive credit for both Math 226 and Math 326. Effective From: Fall 2012
Math 328  Mathematical Methods for Scientists and Engineers (303) Prerequisites: Math 211 with a grade of C or better, or Math 213 with a grade of C or better. Corequisite: Math 222. The course exposes students to concepts of mathematics encountered throughout the physical science and engineering disciplines. Topics include matrix algebra, vector analysis, complex numbers, and boundary value problems in partial differential equations. Effective From: Spring 2009
Math 331  Introduction to Partial Differential Equations (303) Prerequisite: Math 211 or Math 213 and Math 222 all with a grade of C or better. Partial differential equations in science and engineering. Topics include initial and boundaryvalue problems for parabolic, hyperbolic, and elliptic secondorder equations. Emphasis is placed on separation of variables, special functions, transform methods, and numerical techniques. Effective From: Fall 2010
Math 331H  Honors Introduction to Partial Differential Equations (303) Prerequisite: Grade of B or better in Math 222H and either grade of B or better in Math 221H or Math 213H. Or grade of A in Math 222 and either grade of A in Math 211 or grade of A in Math 213. Topics enhance those of Math 331 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2014
Math 332  Introduction to Functions of a Complex Variable (303) Prerequisite: Math 211 or Math 213 and Math 222 all with a grade of C or better. Functions of a complex variable: CauchyRiemann equations, CauchyGoursat theorem, integration, series, residues, poles, geometrical aspects. Emphasis on techniques. Effective From: Fall 2010
Math 332H  Honors Introduction to Functions of a Complex Variable (303) Prerequisite: Grade of B or better in Math 222H and either grade of B or better in Math 211H or Math 213H. Or grade of A in Math 222 and either grade of A in Math 211 or grade of A in Math 213. Topics enhance those of Math 332 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009
Math 333  Probability and Statistics (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Descriptive statistics and statistical inference. Topics include discrete and continuous distributions of random variables, statistical inference for the mean and variance of populations, and graphical analysis of data. Effective From: Fall 2012
Math 333H  Honors Probability and Statistics (303) Prerequisite: Math 112H with a grade of B or better or Math 112 with a grade of A or Math 133 with a grade of A. Topics enhance those of Math 333 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Fall 2012
Math 334  Operations Research (303) Prerequisite: Math 244 with a grade of C or better or Math 333 with a grade of C or better. Considers mathematical methods found especially in contemporary fields such as operations research and reliability engineering. Topics include linear programming, graph theory, finite mathematics, differential equations, matrices, and determinants. Effective From: Spring 2009
Math 335  Vector Analysis (303) Prerequisite: Math 211 with a grade of C or better or Math 213 with a grade of C or better. Algebra and calculus of vectors. Topics include the theorems of Gauss, Green, and Stokes, and curvilinear coordinates. Effective From: Spring 2009
Math 336  Applied Abstract Algebra (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Classical algebra from a modern and constructive viewpoint. Emphasis is on the development of algorithmic and computational skills. Topics include rings, fields, and groups and their applications to science and engineering. Effective From: Fall 2012
Math 337  Linear Algebra (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors, and related topics. Effective From: Fall 2012
Math 337H  Honors Linear Algebra (303) Prerequisite: Math 112H with a grade of B or better or Math 112 with a grade of A or Math 133 with a grade of A. Topics enhance those of Math 337 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Fall 2012
Math 340  Applied Numerical Methods (313) Prerequisites: Math 211 with a grade of C or better or Math 213 with a grade of C or better, and CS 101 with a grade of C or better or CS 113 with a grade of C or better or CS 115 with a grade of C or better or CS 100 with a grade of C or better or Math 240 with a grade of C or better. Introduction to numerical methods with emphasis on mathematical models. Implements and investigates numerical techniques for the solution of linear and nonlinear systems of equations, eigenvalue problems, interpolation and approximation, techniques of optimization, Monte Carlo methods, and applications to ordinary differential equations and integration. Effective From: Spring 2014
Math 340H  Honors Applied Numerical Methods (303) Prerequisites: CS 101 with a grade of C or better or CS 113 with a grade of C or better or CS 115 with a grade of C or better. Grade of B or better in Math 213H or grade of A in Math 211 or Math 213. Topics enhance those of Math 240 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009
Math 341  Statistical Methods II (303) Prerequisite: Math 244 with a grade of C or better or Math 333 with a grade of C or better. Covers applications of classical statistical inference. Topics include transformation of variables, moment generating technique for distribution of variables, introduction to sampling distributions, point and interval estimation, maximum likelihood estimators, basic statistical hypotheses and tests of parametric hypotheses about means of normal populations, chisquare tests of homogeneity, independence, goodnessoffit. Effective From: Spring 2009
Math 344  Regression Analysis (303) Prerequisite: Math 333 with a grade of C or better or Math 341 with a grade of C or better. An introduction to statistical data analysis using regression techniques. Topics include least squares estimation, hypothesis testing, prediction, regression diagnostics, residual analysis, variance stabilizing transformations, regression using indicator variables, variable selection, and model building. Effective From: Spring 2009
Math 345  Multivariate Distributions (303) Prerequisites: Math 244 with a grade of C or better or Math 333 with a grade of C or better. Topics include discrete and continuous multivariate distributions and their moments, multivariate distributions including multivariate normal and multinominal distributions, order statistics, conditional probability and the use of conditioning, discrete time Markov chains and their examples, discrete time branching processes, homogeneous and nonhomogeneous Poisson processes. Effective From: Spring 2009
Math 346  Mathematics of Finance I (303) Prerequisite: Math 112 with a grade of C or better or Math 133 with a grade of C or better. The main topics include basic problems in interest, annuities, certain amortization and sinking funds, bonds and related securities. Effective From: Fall 2012
Math 347  Mathematics of Finance II (303) Prerequisites: Math 346 and Math 244 or Math 333 all with a grade of C or better. This course introduces mathematical models of bond and stock prices, which lead to arbitrage pricing of options and other derivative securities, and portfolio management. These areas of mathematical finance have a great impact on the way financial markets function. Topics include riskfree, and risky assets, portfolio management, futures, and options. Effective From: Fall 2010
Math 371  Physiology and Medicine (303) Prerequisite: Math 222 with a grade of C or better. Mathematical models of organs and organ systems: the heart and circulation, gas exchange in the lungs, electrical properties of excitable membranes, neurobiological clocks, the renal countercurrent mechanism, muscle mechanics. The biology is introduced with each topic. Emphasis is on quantitative problem solving, model building, and numerical simulation. Effective From: Spring 2009
Math 372  Population Biology (303) Prerequisite: Math 222 with a grade of C or better. Introduction to the mathematics of populations: Malthus' model of geometric population growth, Euler's renewal equations, age structure in human populations, predator satiation, chaos, mathematical models of inheritance, and the theory of epidemics. The ability to weave back and forth between physical concepts and mathematical notation is emphasized as well as the relationships between random and nonrandom models of similar phenomena. Effective From: Spring 2009
Math 373  Introduction to Mathematical Biology (303) Prerequisites: Math 211 with a grade of C or better or 213 with a grade of C or better or 213H with a grade of C or better and Math 337 with a grade of C or better. This course provides an introduction to the use of mathematical techniques applied to problems in biology. Discrete and continuous models of biological phenomena will be discussed. Biological topics discussed range from the subcellular molecular systems and cellular behavior to physiological problems, population biology and developmental biology. Techniques of phase plane analysis for differential equations are introduced in the course. No prior background in biology is necessary. Effective From: Spring 2009
Math 388  Introduction to Chaos Theory (303) Prerequisite: Math 211 with a grade of C or better or Math 213 with a grade of C or better. An elementary treatment of chaos theory and its applications concentrating on discrete dynamical systems. Uses theory and applications illustrated by computer experiments to develop such topics as bifurcation, attractors, the logistic map, perioddoubling routes to chaos, symbolic dynamics, Sarkovskii's theorem, fractals, and Julia and Mandelbrot sets for complex dynamics. Effective From: Spring 2009
Math 391  Numerical Linear Algebra (303) Prerequisites: Math 337 with a grade of C or better and CS 113 with a grade of C or better or CS 115 with a grade of C or better or CS 101 with a grade of C or better. This course provides an introduction to computational linear algebra. Topics include direct solution of linear systems, iterative methods for linear systems, fast Fourier transforms, least squares problems, singular value decomposition and eigenvalue/eigenvector problems. Effective From: Spring 2009
Math 401  Undergraduate Research Seminar (111) Research seminar intended for students who participate in yearlong research projects. Methodologies and techniques needed for summer research projects are discussed. Presentations of current research topics are made by various faculty. Effective From: Spring 2008
Math 410  Coop Work Experience II (3 credits) Prerequisites: Math 310 with a grade of C or better, departmental approval, and permission of the Office of Cooperative Education and Internships. Provides majorrelated work experience. Mandatory participation in seminars and completion of requirements that include a report and/or project. Note: Normal grading applies to this COOP Experience Effective From: Spring 2013
Math 426  Advanced Discrete Analysis (303) Prerequisite: Math 226 with a grade of C or better or Math 326 with a grade of C or better. Topics include graphs, trees and their applications, grammars, finite state machines, Turing machines and Petri nets, applied combinatorics  Stirling, Catalan, and Ramsey numbers, PolyaBurnside counting methods, finite Markov chains and coding theory. Effective From: Spring 2009
Math 430  Analytical and Computational Neuroscience (313) Prerequisites: Math 211 with a grade of C or better or Math 213 with a grade of C or better, and Math 222 with a grade of C or better, and CS 113 with a grade of C or better or CS 115 with a grade of C or better or Math 340 with a grade of C or better. A mathematical and computational introduction to the biophysical mechanisms that underlie physiological functions of single neurons and synapses. Topics include voltagedependent channel gating mechanisms, the HodgkinHuxley model for membrane excitability, repetitive and burst firing, nerve impulse propagation in axons and dendrites, single and multicompartmental modeling, synaptic transmission, calcium handling dynamics and calcium dependent currents and processes. Effective From: Fall 2013
Math 431  Systems Computational Neuroscience (313) Prerequisites: MATH 430 with a grade of C or better or departmental approval. This course provides a mathematical and computational introduction to operations of neuronal systems and networks. Topics covered include central pattern generators, neuroethology of sensory systems, sensorymotor transformations, models of various brain regions, models of visual processes, large networks modeling, models of learning and memory, neural coding and mathematics of neural networks. Effective From: Fall 2013
Math 432  Mathematics of Financial Derivatives I (Capstone I) (303) Prerequisites: Math 222 with a grade of C or better and Math 346 with a grade of C or better. Mathematical analysis of models encountered in the area of financial derivatives. Topics include modeling and analysis of futures markets, determination of future prices, hedging strategies, swaps, option markets, stock options and their trading strategies. Effective From: Spring 2009
Math 433  Mathematics of Financial Derivatives II (Capstone II) (303) Prerequisite: Math 432. Corequisite: Math 340 with a grade of C or better. Math 432 with a grade of C or better. Mathematical analysis of models encountered in the area of financial derivatives with emphasis on numerical methods. Topics include: Binomial Trees, Black Scholes Models, Finite Difference Methods. Effective From: Spring 2014
Math 440  Advanced Applied Numerical Methods (303) Prerequisites: Math 331 with a grade of C or better and Math 340 with a grade of C or better. A survey of numerical methods for solving ordinary and partial differential equations. Includes initialvalue and boundaryvalue problems for ordinary differential equations and for elliptic, hyperbolic, and parabolic partial differential equations. Effective From: Spring 2009
Math 440H  Honors Advanced Applied Numerical Methods (303) Prerequisites: grade of B or better in Math 331 and grade of B or better in Math 340. Topics enhance those of Math 440 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009
Math 441  Actuarial Mathematics I (303) Prerequisite: Math 346 with a grade of C or better. Topics include the economics of insurance, individual risk models for a short term, survival distributions and life tables, life insurance per year, life annuities, and net premiums. Effective From: Spring 2009
Math 442  Actuarial Mathematics II (303) Prerequisite: Math 441 with a grade of C or better. Topics include net premium reserves, insurance models including expenses, nonforfeiture benefits, and dividends. Effective From: Spring 2009
Math 443  Statistical Methods (303) Prerequisite: Math 341 with a grade of C or better. Topics include complete sufficient statistics and uniformly minimum variance estimators, general linear hypotheses and related topics, nonparametric inference including rank and order statistics, permutation methods, Ustatistics, and Pitman efficiency. Effective Until: Spring 1996
Math 444  Applied Sampling Methods and Quality Control (303) Prerequisite: Math 333 with a grade of C or better, or Math 244 with a grade of C or better and Math 341 with a grade of C or better. An introduction to sample survey and statistical quality control. Topics include sampling from a finite population and different sampling techniques, more detailed study of random sampling and stratification, control charts and acceptance sampling plans in statistical quality control. Effective From: Spring 2009
Math 445  Introduction to Experimental Design ( 303) Prerequisite: Math 333 with a grade of C or better, or Math 244 with a grade of C or better and Math 341 with a grade of C or better. Basic concepts and principles of designs are covered. Topics include randomized blocks, Latin squares, factorial designs. Effective From: Spring 2009
Math 446  Topics in Applied Statistics (303) Prerequisite: Math 341 with a grade of C or better or Math 333 with a grade of C or better. Topics may include biostatistics, environmental statistics, statistical consulting. Effective From: Spring 2009
Math 447  Applied Time Series Analysis (303) Prerequisite: Math 341 with a grade of C or better or Math 333 with a grade of C or better. An introduction to applied univariate time series analysis. Topics include regression techniques for modeling trends, smoothing techniques (moving average smoothing, exponential smoothing), autocorrelation, partial autocorrelation, moving average, and autoregressive representation of series, BoxJenkins models, forecasting, model selection, estimation, and diagnostic checking, Fourier analysis, and spectral theory for stationary processes. Effective From: Fall 2010
Math 448  Stochastic Simulation (303) Prerequisite: Math 333 with a grade of C or better and Math 340 with a grade of C or better. An introduction in the use of computer simulation to study stochastic models. Topics include the generation of samples of continuous and discrete random variables and processes with applications to stochastic models, statistical analysis of the results, and variance reduction techniques. Effective From: Spring 2009
Math 450H  Methods of Applied Mathematics I (Capstone I) (303) Prerequisites: Math 331 with a grade of C or better, Math 337 with a grade of C or better, and Math 340 with a grade of C or better. Combines mathematical modeling with physical and computational experiments conducted in the Undergraduate Mathematics Computing Laboratory. Effective From: Spring 2009
Math 451H  Methods of Applied Mathematics II (Capstone II) ( 303) Prerequisite: Math 450H with a grade of C or better. Small teams of students conduct research projects under the guidance of faculty members who perform applied research. Effective From: Spring 2009
Math 453  HighPerformance Numerical Computing (303) Prerequisites: Math 391 with a grade of C or better and Math 440 with a grade of C or better. The course covers stateoftheart numerical algorithms for solving largescale problems accurately and efficiently. Topics include iterative methods for linear systems and eigenvalue computations, introduction to parallel program and parallel numerical algorithms and spectral methods. An instructorselected advanced topic will be included in the course. Effective From: Spring 2009
Math 460  Differential Geometry of Curves and Surfaces (3 credits) Prerequisites: Math 222 with a grade of C or better. Curves in the plane and Euclidean space, moving frames, surfaces in Euclidean space, orientability of surfaces, Gaussian and mean curvatures, surfaces of revolution, ruled surfaces, minimal surfaces, special curves on surfaces, Theorema Egregium, the intrinsic geometry of surfaces. Effective From: Spring 2009
Math 473  Intermediate Differential Equations (303) Prerequisites: Math 222 with a grade of C or better and Math 337 with a grade of C or better. Topics in the qualitative behavior of solutions of ordinary differential equations with applications to engineering problems. Includes phase plane analysis, stability, dynamical systems, and chaos. Effective From: Spring 2009
Math 475  Intermediate Partial Differential Equations ( 303) Prerequisites: Math 331 with a grade of C or better and Math 337 with a grade of C or better. A survey of methods, beyond separation of variables, for analyzing and solving the fundamental partial differential equations of mathematical physics. Considers firstorder equations, Laplace's equation, the wave equation, the heat equation, and linear hyperbolic systems. Emphasizes using methods of calculus to solve canonical initial and boundaryvalue problems. Effective From: Spring 2009
Math 475H  Honors Intermediate Partial Differential Equations (303) Prerequisites: Grade of B or better in Math 331H and Math 337H or Grade of A in Math 331 and Math 337. Topics enhance those of Math 475 and concepts are studied in detail. Emphasizes science and engineering applications. Effective From: Spring 2009
Math 477  Stochastic Processes (303) Prerequisites: Math 244 with a grade of C or better or Math 333 with a grade of C or better and Math 337 with a grade of C or better. This course introduces the theory and applications of random processes needed in various disciplines such as mathematical biology, finance, and engineering. Topics include discrete and continuous Markov chains, Poisson processes, as well as topics selected from Brownian motion, renewal theory, and simulation. Effective From: Spring 2009
Math 480  Introductory Mathematical Analysis (303) Prerequisite: Math 211 with a grade of C or better or Math 213 with a grade of C or better. Builds on principles taught in basic calculus courses. Topics discussed include continuity, differentiation, integration, and the limit process of sequences and series. Effective From: Spring 2009
Math 481  Advanced Calculus (303) Prerequisite: Math 480 with a grade of C or better. Systematic development of partial differentiation, multiple and improper integrals, transformations, inverse and implicit function theorems, and integrals over curves and surfaces. Effective From: Spring 2009
Math 491  Independent Study in Mathematics (303) Prerequisites: Senior standing and departmental approval. Each student works under the direct supervision of a member of the Department of Mathematical Sciences. The work consists primarily of a project applying the student's mathematical skills to an engineering or scienceoriented project. Effective From: Spring 2009
Math 492  Independent Study in Mathematics II (303) Prerequisites: Senior standing and departmental approval. Each student works under the direct supervision of a member of the Department of Mathematical Sciences. The work consists primarily of a project applying the student's mathematical skills to an engineering or scienceoriented project. Effective From: Spring 2014
Math 493  Seminar in Actuarial Science (101) Prerequisite: Departmental approval. A series of lectures by practicing actuaries on topics of technical and/or current practices. Subjects announced at the time of registration. Progress is evaluated through projects and term papers. A comprehensive report summarizing some aspect of special interest to the student is required. Effective From: Spring 2009
Math 495  Topics in Applied Mathematics (303) Prerequisites: Math 331 with a grade of C or better, Math 332 with a grade of C or better, and Math 340 with a grade of C or better, or departmental approval. A survey of selected areas of applied mathematics. Case histories of problems in applied mathematics from an industrial background. Effective From: Spring 2009
