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Math 098 - Introduction to College Math A (4-1-4 additive credits)
Intended for students whose major requires Math 113, Math 135 or Math 138. 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: Fall 2007
Math 099 - Introduction to College Math B (4-1-4 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: Fall 2007
Math 101 - University Mathematics II-Trigonometry (4-1-4)
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
Math 102 - Modern Pre-calculus (6 credits)
This course is an intensive non-traditional approach to pre-calculus employing curriculum innovations for the preparation of students for college calculus. The course infuses calculus techniques into the pre-calculus 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.
Math 103 - University Mathematics I (4-1- 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 Until: Summer 2007
Math 104 - University Mathematics II (4-1- 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 Until: Summer 2007
Math 105 - Elementary Probability and Statistics (3-0-3)
Prerequisite: (Intended for students who are not in Science or in Engineering.) Math 107 or Math 109 with a grade of C or better or placement by performance on standardized entrance examinations. Considers 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.
Math 106 - University Mathematics I A (4-1-4)
Prerequisite: Math 098 with a grade of C or better or placement by performance on standardized entrance examinations. 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: Fall 2007
Math 107 - University Mathematics II A (4-1-4)
Intended for students whose major requires Math 113, Math 135 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: Fall 2007
Math 108 - University Mathematics I B (4-1-4)
Intended for students whose major requires Math 111. Prerequisite: Math 099 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. Degree credit awarded for the following majors only: Hist, PTC and STS. Effective From: Fall 2007
Math 109 - University Mathematics II B (4-1-4)
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: Fall 2007
Math 110 - University Mathematics II - Trigonometry (4-1-4)
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, 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: Fall 2007
Math 111 - Calculus I (4-1-4)
Prerequisite: Math 109 or Math 110 with a grade of C or better or placement by performance on standardized entrance examinations. Topics include limits, differentiation, applications of differentiation, and integration. Effective From: Fall 2007
Math 111H - Honors Calculus I (4-1-4)
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.
Math 112 - Calculus II (4-1-4)
Prerequisite: Math 111 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.
Math 112H - Honors Calculus II (4-1-4)
Prerequisite: grade of B or better in Math 111H or grade of A in Math 111. Topics enhance those of Math 112 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 113 - Finite Mathematics and Calculus I (4-0-4)
Prerequisite: (Intended for Architecture students.) Math 107 or Math 110 with a grade of C or better or placement by performance on standardized entrance examinations. 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 2007
Math 114 - Finite Mathematics and Calculus II (4-0-4)
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.
Math 116 - Mathematics of Design (3-0-3)
Prerequisite: Placement exam or Math 101 or Math 107 with a grade of C or better. The course is project oriented, covering theories of proportion; tiling, symmetry, symmetry groups, and informal geometry; fractals; theory of graphs and knots; three-dimensional geometry and polyhedra; and projective geometry. The course is intended for BA of Fine Arts students from the College of Art & Design but might be used as an elective for other students. Effective From: Spring 2010
Math 135 - Mathematics for Business (3-0-3)
Intended for students with major offered by SOM. Prerequisite: Math 107 or Math 101 with a grade of C or better or placement by performance on standardized entrance examinations. An introduction to mathematics of business, principles of differential and integral calculus, and optimization. Effective From: Spring 2009
Math 138 - General Calculus I (3-0-3)
Intended for students who are not in Science or in Engineering. Prerequisite: Math 107 or Math 110 with a grade of C or better or placement by performance on standardized entrance examinations. An introduction to differential and integral calculus of a single variable. Effective From: Fall 2007
Math 211 - Calculus III A (3-0-3)
Prerequisite: Math 112 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.
Math 211H - Honors Calculus IIIA (3-0-3)
Prerequisite: Grade of B or better in Math 112H or grade of A in Math 112. Topics enhance those of Math 211 and concepts are studied in detail. Effective From: Fall 2008
Math 213 - Calculus III B (4-0-4)
Prerequisite: Math 112 with a grade of C or better. Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, and Green's, divergence, and Stokes' theorems.
Math 213H - Honors Calculus III (4-0-4)
Prerequisite: grade of B or better in Math 112H or grade of A in Math 112. Topics enhance those of Math 213 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 222 - Differential Equations (4-0-4)
Prerequisite: Math 211 with a grade of C or better or Math 213 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.
Math 222H - Honors Differential Equations (4-0-4)
Prerequisite: grade of B or better in Math 213H or grade of A in Math 211 or Math 213. Topics enhance those of Math 222 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 225 - Survey of Probability and Statistics (1-0-1)
Prerequisite: Math 112 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 Until: Fall 2007
Math 225A - Survey of Probability and Statistics (1-0-1)
For Chemical Engineering students only. Prerequisite: Math 112 with 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.
Math 226 - Discrete Analysis (4-0-4)
Prerequisite: Math 112 with a grade of C or better. An introduction to discrete mathematics. Topics include elementary set theory, logic, combinatorics, relations, graphs and trees, algebraic systems.
Math 226H - Honors Discrete Analysis (4-0-4)
Prerequisite: grade of "B"or better in Math 112H or grade of "A" in Math 112. An introduction to discrete mathematics. Topics enhance those of Math 226 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 227 - Mathematical Modeling (4-0-4)
Prerequisite: Math 112 with a grade of C or better. An introduction to the theory and practice of mathematical modeling. 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 2009
Math 238 - General Calculus II (3-0-3)
Prerequisite: (Intended for students who are not in Science or in Engineering.) Math 138 with a grade of C. A continuation of Math 138. Topics include applications of integral calculus and an introduction to ordinary differential equations.
Math 240 - Numerical Mathematics Laboratory (3-0-3)
Prerequisite: Math 112 with a grade of C or better, and CIS 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, round-off 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.
Math 244 - Introduction to Probability Theory (3-0-3)
Prerequisite: Math 112 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.
Math 245 - Multivariate Probability and Stochastic Processes (3-0-3)
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.
Math 246 - Introduction to Financial Mathematics ((3-0-3))
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: Fall 2005
Math 279 - Statistics and Probability for Engineers (2-0-2)
Prerequisite: Math 112 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: Spring 2008
Math 305 - Statistics for Technology (3-0-3)
Prerequisite: (Intended for students in Engineering Technology.) Math 111 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.
Math 309 - Mathematical Analysis for Technology (4-0-4)
Prerequisites: (Intended for students in Engineering Technology.) Math 111 with a grade of C or better or Math 138 with a grade of C or better. Emphasis on integration techniques; applications such as related rates, curve sketching, maximum and minimum, area, moments, centroids, volumes, approximate methods, partial derivatives, vector calculus, parametric equations, and infinite series.
Math 310 - Co-op 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 major-related work experience and reinforcement of their academic program. Work assignments facilitated and approved by the co-op office. Mandatory participation in seminars and completion of a report.
Math 321 - Introduction to the Finite Element Method (3-0-3)
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 Technology (3-0-3)
Prerequisite: (Intended for students in Engineering Technology.) Math 309 with a grade of C or better. An applied science study using differential equations as the vehicle for comprehension of the unknown. Introduction to first-order 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.
Math 326 - Discrete Analysis for Computer Engineers (3-0-3)
Prerequisite: Math 112 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.
Math 328 - Mathematical Methods for Scientists and Engineers (3-0-3)
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 2008
Math 331 - Introduction to Partial Differential Equations (3-0-3)
Prerequisite: Math 222 with a grade of C or better. Partial differential equations in science and engineering. Topics include initial- and boundary-value problems for parabolic, hyperbolic, and elliptic second-order equations. Emphasis is placed on separation of variables, special functions, transform methods, and numerical techniques.
Math 331H - Honors Introduction to Partial Differential Equations (3-0-3)
Prerequisite: grade of "B" or better in Math 222H or grade of "A" in Math 222. Topics enhance those of Math 331 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 332 - Introduction to Functions of a Complex Variable (3-0-3)
Prerequisite: Math 222 with a grade of C or better. Functions of a complex variable: Cauchy-Riemann equations, Cauchy-Goursat theorem, integration, series, residues, poles, geometrical aspects. Emphasis on techniques.
Math 332H - Honors Introduction to Functions of a Complex Variable (3-0-3)
Prerequisite: grade of "B" or better in Math 222H or grade of "A" in Math 222. Topics enhance those of Math 332 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 333 - Probability and Statistics (3-0-3)
Prerequisite: Math 112 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.
Math 333H - Honors Probability and Statistics (3-0-3)
Prerequisite: grade of "B" or better in Math 112H or grade of "A" in Math 112. Topics enhance those of Math 333 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 334 - Operations Research (3-0-3)
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.
Math 335 - Vector Analysis (3-0-3)
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.
Math 336 - Applied Abstract Algebra (3-0-3)
Prerequisite: Math 112 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.
Math 337 - Linear Algebra (3-0-3)
Prerequisite: Math 112 with a grade of C or better. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvalues, eigenvectors, and related topics.
Math 337H - Honors Linear Algebra (3-0-3)
Prerequisite: grade of "B" or better in Math 112H or grade of "A" in Math 112. Topics enhance those of Math 337 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 340 - Applied Numerical Methods (3-1-3)
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 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: Fall 2009
Math 340H - Honors Applied Numerical Methods (3-0-3)
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.
Math 341 - Introduction to Statistics (3-0-3)
Prerequisite: Math 244 with a grade of C or better or Math 333 with a grade of C or better. Covers the theory and applications of classical statistical inference. Topics include sampling distributions, point and interval estimation, criteria of good estimators, maximum likelihood estimators and their large sample properties, statistical hypotheses and tests, including most powerful and uniformly most powerful tests and likelihood ratio tests, classical tests of parametric hypotheses about means and variances of normal populations, tests for proportion, chi-square tests of homogeneity, independence, goodness-of-fit, sign test and Wilcoxon test.
Math 344 - Regression Analysis (3-0-3)
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.
Math 345 - Multivariate Distributions (3-0-3)
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 2008
Math 346 - Mathematics of Finance I (3-0-3)
Prerequisite: Math 112 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: Spring 2005
Math 347 - Mathematics of Finance II (3-0-3)
Prerequisites: Math 346 with a grade of C or better and Math 244 with a grade of C or better or Math 333 with a grade of C or better and Math 211 with a grade of C or better or Math 213 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 risk-free, and risky assets, portfolio management, futures, and options. Effective From: Spring 2005
Math 371 - Physiology and Medicine (3-0-3)
Prerequisite: Math 222 with a grade of C or better. (No biology requirement.) Mathematical models of organs and organ systems: the heart and circulation, gas exchange in the lungs, electrical properties of excitable membranes, neuro-biological 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: Fall 2008
Math 372 - Population Biology (3-0-3)
Prerequisite: Math 222 with a grade of C or better. (No biology requirement.) 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 non-random models of similar phenomena. Effective From: Fall 2008
Math 373 - Introduction to Mathematical Biology (3-0-3)
Prerequisites: Math 211 with a grade of C or better or Math 213 with a grade of C or better or Math 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 2005
Math 388 - Introduction to Chaos Theory (3-0-3)
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, period-doubling routes to chaos, symbolic dynamics, Sarkovskii's theorem, fractals, and Julia and Mandelbrot sets for complex dynamics.
Math 391 - Numerical Linear Algebra (3-0-3)
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: Fall 2008
Math 401 - Undergraduate Research Seminar (1-1-1)
Research seminar intended for students who participate in year-long 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 - Co-op Work Experience II (3 credits)
Prerequisites: Math 310, departmental approval, and permission of the Office of Cooperative Education and Internships. Provides major-related work experience. Mandatory participation in seminars and completion of requirements that include a report and/or project.
Math 426 - Advanced Discrete Analysis (3-0-3)
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, Polya-Burnside counting methods, finite Markov chains and coding theory.
Math 430 - Analytical and Computational Neuroscience (3-1-3)
Prerequisites: Math 211 with a grade of C or better or Math 213 with a grade of C or better, Phys 121 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. A mathematical and computational introduction to the biophysical mechanisms that underlie physiological functions of single neurons and synapses. Topics include voltage-dependent channel gating mechanisms, the Hodgkin-Huxley model for membrane excitability, repetitive and burst firing, nerve impulse propagation in axons and dendrites, single- and multi-compartmental modeling, synaptic transmission, calcium handling dynamics and calcium dependent currents and processes.
Math 431 - Systems Computational Neuroscience (3-1-3)
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. 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, sensory-motor 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 2007
Math 432 - Mathematics of Financial Derivatives I (Capstone I) (3-0-3)
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: Fall 2007
Math 433 - Mathematics of Financial Derivatives II (Capstone II) (3-0-3)
Prerequisites: Math 340 with a grade of C or better and 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: Fall 2009
Math 440 - Advanced Applied Numerical Methods (3-0-3)
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 initial-value and boundary-value problems for ordinary differential equations and for elliptic, hyperbolic, and parabolic partial differential equations.
Math 440H - Honors Advanced Applied Numerical Methods (3-0-3)
Prerequisites: grade of "B" or better in Math 331 or Math 331H and Math 340 or Math 340H. Topics enhance those of Math 440 and concepts are studied in detail. Emphasizes science and engineering applications.
Math 441 - Actuarial Mathematics I (3-0-3)
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.
Math 442 - Actuarial Mathematics II (3-0-3)
Prerequisite: Math 441 with a grade of C or better. Topics include net premium reserves, insurance models including expenses, nonforfeiture benefits, and dividends.
Math 443 - Statistical Methods (3-0-3)
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, U-statistics, and Pitman efficiency. Effective Until: Spring 1996
Math 444 - Applied Sampling Methods and Quality Control (3-0-3)
Prerequisite: Math 333 with 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.
Math 445 - Introduction to Experimental Design ( 3-0-3)
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.
Math 446 - Topics in Applied Statistics (3-0-3)
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.
Math 447 - Applied Time Series Analysis (3-0-3)
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 auto-correlation, moving average, and autoregressive representation of series, Box-Jenkins models, forecasting, model selection, estimation, and diagnostic checking, Fourier analysis, and spectral theory for stationary processes.
Math 448 - Stochastic Simulation (3-0-3)
Prerequisite: Math 333 with a grade of C or better or Math 244 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: Fall 2009
Math 450H - Methods of Applied Mathematics I (Capstone I) (3-0-3)
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.
Math 451H - Methods of Applied Mathematics II (Capstone II) ( 3-0-3)
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.
Math 453 - High-Performance Numerical Computing (3-0-3)
Prerequisites: Math 391 with a grade of C or betterr and Math 440 with a grade of C or better. The course covers state-of-the-art numerical algorithms for solving large-scale 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 instructor-selected 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.
Math 473 - Intermediate Differential Equations (3-0-3)
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.
Math 475 - Intermediate Partial Differential Equations ( 3-0-3)
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 first-order equations, Laplace's equation, the wave equation, the heat equation, and linear hyperbolic systems. Emphasizes using methods of calculus to solve canonical initial- and boundary-value problems.
Math 475H - Honors Intermediate Partial Differential Equations (3-0-3)
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.
Math 477 - Stochastic Processes (3-0-3)
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: Fall 2006
Math 480 - Introductory Mathematical Analysis (3-0-3)
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.
Math 481 - Advanced Calculus (3-0-3)
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.
Math 491 - Independent Study in Mathematics (3-0-3)
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 science-oriented project.
Math 493 - Seminar in Actuarial Science (1-0-1)
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.
Math 495 - Topics in Applied Mathematics (3-0-3)
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.
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