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Mathematics

  • MATH 114QR  Quantitative Reasoning

    Description:
    This course covers the basic algebra and technological tools used in the social, physical and life sciences to analyze quantitative information. The emphasis is on real world, open-ended problems that involve reading, writing, calculating, synthesizing, and clearly reporting results. Topics include descriptive statistics, linear, and exponential models. Technology used in the course includes computers (spreadsheets, Internet) and graphing calculators.   More Info

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  • MATH 115  College Algebra

    Description:
    Designed primarily but not exclusively for students seeking a stronger foundation in algebra before taking MATH 129 or MATH 130. Topics include basic algebra concepts, linear equations and inequalities and inequalities, properties of functions, linear and quadratic functions, absolute value equations and inequalities, systems of equations.   More Info

    Offered in:
  • MATH 115R  College Algb-Reduced

    Description:
    College Algb-Reduced   More Info

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  • MATH 125  Introductory Statistics

    Description:
    This course is a concept-driven introduction to statistics and statistical reasoning. It covers descriptive statistics, including histograms, the normal curve, and linear correlation and regression; probability sufficient to enable development of inferential statistics; and topics in statistical inference. The latter will include sampling theory, confidence intervals and their interpretation, tests of hypotheses, and chi-square tests.   More Info

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  • MATH 129  Pre-Calculus for Management and Social Science Students

    Description:
    This course teaches the algebraic and conceptual skills students need to master before they are ready for MATH 134 or MATH 135. The major part of the course then involves the application of linear, quadratic, and exponential models to problems in management and economics. Note: Students intending to take Calculus I and II (MATH 140 and 141) should take MATH 130 instead of MATH 129. Students may take MATH 130 after MATH 129, but only with the explicit permission of the department, and then only for two credits.   More Info

    Offered in:
  • MATH 129R  Mgt Precalc-Reduced

    Description:
    Mgt Precalc-Reduced   More Info

    Offered in:
    • TBA
  • MATH 130  Precalculus

    Description:
    Preparation for first year calculus. Covers symmetry, graphs, functions, lines, parabolas and max-min problems, exponential and logarithm functions, exponential growth, and the trigonometric functions and their inverses. Note: No student will receive graduation credits for MATH 130 if it is taken after successful completion of any higher math course. Students who have successfully completed MATH 130 may not subsequently take MATH 129 for credit. Students may take MATH 130 after MATH 129 only with explicit permission of the department, and then only for two credits.   More Info

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  • MATH 130R  Precalc-Reduced Crdt

    Description:
    Precalc-Reduced Crdt   More Info

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  • MATH 134  Managerial Calculus

    Description:
    A one-semester course in calculus, with particular emphasis on applications to economics and management. Topics covered include limits, continuity, derivatives, and integrals. Students may not receive graduation credit for both MATH 134 and MATH 135. Students may take MATH 140 after MATH 134, but only with the explicit permission of the department and then only for two credits.   More Info

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  • MATH 135  Survey of Calculus

    Description:
    Calculus developed intuitively and applied to problems in biology, economics, psychology, and geometry. A course for non-physical science and non-mathematics majors. Suitable for some pre-medical programs. Note: No student will receive graduation credit for MATH 135 if it is taken after successful completion of MATH 134 or 140 or a higher Math course. Students may take MATH 140 after 135 only with explicit permission of the Department, and then only for two credits.   More Info

    Offered in:
  • MATH 135R  Survey of Calculus - Reduced Credit

    Description:
    Calculus developed intuitively and applied to problems in biology, economics, psychology, and geometry. A course for non-physical science and non-mathematics majors. Suitable for some pre-medical programs.   More Info

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  • MATH 140  Calculus I

    Description:
    The first in the sequence of calculus courses for science and math majors. Starts with the basic concepts of functions and limits. Topics covered include: derivatives and their applications, definite and indefinite integrals with applications to geometric and physical problems, and discussion of algebraic and transcendental functions. Note: Math 134 or Math 135 does NOT satisfy the pre-requisites for Math 140. Therefore students who complete Math 134 or 135 will have to take and pass the math placement test to get into Calculus I. Additionally, students who have received credit for either MATH 134 or MATH 135 may not take MATH 140 for credit without the explicit permission of the department and then only for two credits.   More Info

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  • MATH 140R  Calc I-Reduced Credt

    Description:
    Calc I-Reduced Credt   More Info

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  • MATH 141  Calculus II

    Description:
    Continuation of MATH 140. Topics include transcendental functions, techniques of integration, applications of the integral, improper integrals, l'Hospitals rule, sequences, and series. Note: Because MATH 141 is the second part of a three-semester calculus sequence, it should be taken as soon as possible after MATH 140.   More Info

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  • MATH 141R  Calculus II for Reduced Credit

    Description:
    The course is exactly the same as Math 141 with the exception as to the number of credits that a student will earn for completing this course. Completion of Math 141R will result in 2 credits being earned by the student. Please note that because Math 141R is the second of a sequence of calculus course, it should be taken as soon as possible after Math 140, Math 140R, Math 145 or Math 145R. A student who has received credit for Math 141 or Math 141R may not take Math 146 without permission of the department and then only for two credits as Math 146R. Similarly, a student who has received credit for Math 146 or Math 146R may not take Math 141 without permission of the department and then only for two credits as Math 141R. Students may not earn credit for both Math 141 and Math 141R.   More Info

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  • MATH 145  Calculus I for Life & Environmental Sciences

    Description:
    This calculus course presents topics of calculus in the context of the life and environmental sciences. Note: Math 134 or Math 135 does NOT satisfy the pre-requisites for Math 145. Therefore students who complete Math 134 or 135 will have to take and pass the math placement test to get into Calculus I. Additionally, students who have received credit for either MATH 134 or MATH 135 may not take MATH 145 for credit without the explicit permission of the department and then only for two credits. Students who complete this course will be eligible for MATH 141, or MATH 146, as well as MATH 303.   More Info

    Offered in:
    • TBA
  • MATH 145R  Calculus I for Life and Environmental Sciences for Reduced Credits

    Description:
    The course is exactly the same as Math 145 with the exception as to the number of credits that a student will earn for completing this course. Completion of Math 145R will result in 2 credits being earned by the student. Students who complete this course will be eligible for Calculus II (MATH 141), or Calculus II for the Life and Environmental Sciences (MATH 146), as well as Mathematical Biology (Math 303) and any other course in the mathematics department that currently has MATH 140 as a prerequisite. A student who has received credit for either MATH 134, MATH 135 or MATH 140 may take MATH 145R for two credits with the explicit permission of the department. Students cannot earn credit for both MATH 145 and MATH 145R.   More Info

    Offered in:
  • MATH 146  Calculus II for Life & Environmental Sciences

    Description:
    This calculus course presents advanced topics of calculus in the context of the life and environmental sciences. This course does not fulfill the Calculus II (Math 141) requirement and does not serve as a prerequisite for Multivariable Calculus (Math 240).   More Info

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  • MATH 211L  Engineering Mathematics

    Description:
    In this course students will learn important math concepts and techniques they will need to study engineering topics such as circuit analysis, signal processing, electromagnetic fields and wavers, etc. Topics include complex numbers and functions. Laplace transform, Fourier series and transform, first and second order differential equations, partial differential equations, vector differential calculus, matrix algebra, and probability and statistics. For each of these topics, engineering applications will be emphasized, and when appropriate, numerical solutions will be introduced.   More Info

    Offered in:
    • TBA
  • MATH 240  Multivariable Calculus

    Description:
    Differential and integral calculus of functions of several variables. Topics include Euclidean, polar, cylindrical, and spherical coordinates; dot product, cross-product, equations of lines and planes; continuity, partial derivatives, directional, gradient; optimization in several variables; multiple integrals, integrated integrals, change of coordinates, Jacobians, general substitution rule. Please note: Because MATH 240 is the third part of the calculus sequence, it should be taken as soon as possible after MATH 141. Note: No student receives graduation credit for MATH 240 if it is taken after successfully completion of MATH 242. Students may take MATH 242 after MATH 240 only with explicit permission of the Department, and then only for one credit.   More Info

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  • MATH 242  Multivariable and Vector Calculus

    Description:
    Differential and integral calculus of functions of several variables and of vector fields. Topics include Euclidean, polar, cylindrical, and spherical coordinates; dot product, cross-product, equations of lines and planes; continuity, partial derivatives, directional derivatives, optimization in several variables; multiple integrals, iterated integrals, change of coordinates, Jacobians, general substitution rule; curves and surfaces, parametrizations, line integrals, surface integrals; gradient, circulation, flux divergence; conservative, solenoidal vector fields; scalar, vector potential; Green, Gauss, and Stokes theorems. Please note: Because MATH 242 is the final part of a three-semester calculus sequence, it should be taken as soon as possible after MATH 141.   More Info

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  • MATH 242R  Multivariable and Vector Calculus - Reduced Credit

    Description:
    Curves and surfaces, parametrizations, line integrals, surface integrals; gradient, circulation, flux, divergence; conservative, solenoidal vector fields; scalar, vector potential; Green, Gauss, and Stokes theorems. Students who have credit for Math 242 are not allowed to enroll in Math 242R   More Info

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  • MATH 260  Linear Algebra I

    Description:
    Elementary theory of vector spaces. Topics include linear independence, bases, dimension, linear maps and matrices, determinants, orthogonality, eigenvalues and eigenvectors.   More Info

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  • MATH 280  Introduction to Proofs: a Transition to Advanced Mathematics

    Description:
    The course is designed to aid students in making the transition from calculus, differential equations and linear algebra to the more advanced and more abstract mathematics courses, such as abstract algebra and real analysis. The course will cover mathematical logic, mathematical proofs, mathematical induction, set theory, relations, functions, cardinality and applications of proofs in the study of such areas as number theory, calculus and group theory, as time permits.   More Info

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  • MATH 303  Introduction to Mathematical Biology

    Description:
    Mathematical models of population growth and other biological processes. Use of math order linear difference equations will be used to model propagation of annuals plants; growth of segmental organisms; red blood cell production; and population growth and destiny dependence in single-species populations. Continuous models will be constructed from among several possibilities, including the logistic equation, simple exponential growth, the Chemostat, Michaelis-Menten kinetics, drug delivery, glucose-insulin kinematics, Gompertz growth in tumors, and the Fitzhugh-Magumo model for neural impulses. Appropriate software will be used throughout the course.   More Info

    Offered in:
    • TBA
  • MATH 310  Applied Ordinary Differential Equations

    Description:
    A comprehensive study of the nature of ordinary differential equations. The course includes qualitative analysis of properties of solutions, as well as standard methods for finding explicit solutions to important classes of differential equations. It presents many applications, particularly for linear equations.   More Info

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  • MATH 320L  Applied Discrete Mathematics

    Description:
    An introduction to the mathematical structures and concepts used in computing: sets, mathematical induction, ordered sets, Boolean algebras, predicate calculus, trees, relations and lattice theory. Formal and informal theories and corresponding mathematical proofs are taught. CS 320L and MATH 320L are the same course.   More Info

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  • MATH 345  Probability and Statistics I

    Description:
    Introduction to the fundamental ideas and techniques of probability theory. Topics covered: properties of probability, independence, conditional probability, discrete and continuous random variables, density and distribution function, expectation, variance, covariance, moments, correlation, joint distribution, marginal, some common distributions such as uniform, Bemoulli, binomial, exponential, Poisson and normal distribution, and the Central Limit Theorem. The course also introduces some basic ideas of statistical analysis, e.g. parameter estimation and hypothesis testing.   More Info

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  • MATH 346  Probability and Statistics II

    Description:
    Introduction to the fundamental ideas and techniques of statistical inference. The course demonstrates how and when to use statistical methods, explains the mathematical background behind them and illustrates them with case studies. Topics covered: the Central Limit Theorem, parameter estimation, confidence intervals, hypothesis testing, type I and II errors, power, significance level, p-value, likelihood ration tests, t-test, paired and 2-population t-tests, goodness-of-fit tests, chi-square tests, contingency tables, exact tests, nonparametric tests, ANOVA and regression models. Software suitable for statistical analysis, e.g. R or Matlab, will be used to analyze real-world data.   More Info

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  • MATH 350  Applied Partial Differential Equations

    Description:
    Applied Partial differential Equations is an introduction to the basic properties of partial differential equations and to some of the techniques that have been developed to analyze the solutions to these equations. The equations that describe the dynamics of waves, diffusion, flow and vibrations will be the main focus of this course. Initial value and boundary value problems of first and second-order equations will be considered. A geometric and analytic analysis of the solutions to these equations will be explored. Specific topics covered include classification of partial differential equations, well posed problems, the maximum principles for the diffusion equation and Laplaces equation, Dirichlet, Neumann and Robin boundary conditions, the method of characteristic coordinates, and separation of variables. The theory of Fourier Series will be introduced to the student and used to approximate solutions to inhomogeneous boundary value problems using the expansion method. Additional topics specific to the instructor's preference may be included in the course if time permits.   More Info

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  • MATH 354  Vector Calculus

    Description:
    Differential and integral calculus of vector fields. Topics include line integrals, surface-area integrals, and smoothness; oriented curves and surfaces; circulation and flux of fields; Stokes theorem; conservative, solenoidal fields; scalar, vector potentials; independence of path, surfaces, Maxwell's equations; and differential forms, exterior derivatives.   More Info

    Offered in:
    • TBA
  • MATH 356  Differential Geometry of Curves and Surfaces

    Description:
    Differential geometry of curves and surfaces in Euclidean spaces, as an introduction to the geometry of Riemannian manifolds. The course presents intrinsic and extrinsic properties, both from a local and global point of view. Topics include; plane and space curves, surfaces, metrics on surfaces, Gaussian curvature, surfaces of constant curvature, shape operator, mean curvature and minimal surfaces, vector fields on surfaces.   More Info

    Offered in:
    • TBA
  • MATH 358  An Introduction to Complex Analysis

    Description:
    Complex numbers; complex functions; power series; trigonometric functions; Moebius transformations; differentiation and integration of analytic functions; Cauchy's theorem; residues; singularities; meromorphic functions.   More Info

    Offered in:
    • TBA
  • MATH 360  Abstract Algebra

    Description:
    Review of set theory. Overview of algebraic structures. Elementary theory of groups, rings, and modules.   More Info

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  • MATH 361  Abstract Algebra II

    Description:
    Introduction to ring and field theory. Topics include: commutative rings, ideals, integral domains, polynomial fields, the theory of extension fields, vector spaces, Galois groups, and the fundamental theorem of Galois theory. Applications include insolvability of certain higher degree polynomials, and other topics as time permits. (Course is offered in the spring only.)   More Info

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  • MATH 370  History of Mathematics

    Description:
    This course traces the development of mathematics from ancient times up to and including 17th century developments in the calculus. Emphasis is on the development of mathematical ideas and methods of problem solving. (This course is offered as demand requires.)   More Info

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  • MATH 380  Introduction to Computational Algebraic Geometry

    Description:
    This course is an introduction to the geometry of affine algebraic varieties, with emphasis on the algebra-geometry dictionary and on computation via Groebner bases and Buchberger's algorithm.   More Info

    Offered in:
    • TBA
  • MATH 384L  Game Theory, Evolution and Ecology

    Description:
    Fundamental concepts of evolutionary game theory and their application in biology. Topics include: the strategy and payoff matrix, the game tree, strategic and extensive form games, symmetric games, Nash equilibria. Evolutionary game theory concepts are discussed for two-strategy games (Prisoner's Dilemma, Hawk-Dove) and three-strategy games (Rock-Scissors-Paper). Biological examples are studied, such as blood sharing in vampire bats, competition in bacteria, or the evolution of altruistic punishment. BIOL 384L and MATH 384L are the same course.   More Info

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  • MATH 390  Mathematical Problem Solving Seminar

    Description:
    This course is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving.   More Info

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  • MATH 425  Numerical Analysis

    Description:
    Approximations of roots. Finite differences. Interpolation. Numerical solutions of differential and algebraic equations. (This course is offered as demand requires.)   More Info

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  • MATH 440  General Topology

    Description:
    This course is an introduction to the abstract theory of continuity and convergence, otherwise known as general (or point-set) topology. Topics include metric spaces and topological spaces, continuity, subspaces, product and quotient spaces, sequences, nets and filters, separation and countability, compactness, connectedness, and the fundamental group.   More Info

    Offered in:
    • TBA
  • MATH 447  Probability Models

    Description:
    This is an introductory course on probability models with a strong emphasis on stochastic processes. The aim is to enable students to approach real-world phenomena probabilistically and build effective models. The course emphasizes models and their applications over the rigorous theoretical framework behind them, yet critical theory that is important for understanding the material is also covered. Topics include: discrete Markov chains, continuous-time Markov chains, Poisson processes, renewal theory, Brownian motion and martingales. Optional topics: queuing theory, reliability theory, and random sampling techniques. Applications to biology, physics, computer science, economics, and engineering will be presented.   More Info

    Offered in:
    • TBA
  • MATH 450  An Introduction to Real Analysis

    Description:
    A rigorous treatment of the calculus of functions of one real variable. Emphasis is on proofs. Includes discussion of topology of real line, limits, continuity, differentiation, integration and series. (Course offered in the spring only.)   More Info

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  • MATH 454  Analysis on Manifolds

    Description:
    This course is an introduction to the framework for modern advanced analysis. Topics include differentiable maps between Euclidean spaces, Implicit and Inverse Function Theorems, manifolds, differential forms, differentiation and integration on manifolds.   More Info

    Offered in:
    • TBA
  • MATH 458  Theory of Numbers

    Description:
    Prime numbers; congruences and residues; approximation of real numbers by rationals; diophantine equations.   More Info

    Offered in:
    • TBA
  • MATH 460  Survey of Geometry

    Description:
    Topics taken from classical Euclidean geometry and the non Euclidean geometries; projective geometry; lattices; finite geometries. (This course is normally offered at least once every three semesters.)   More Info

    Offered in:
    • TBA
  • MATH 470  Mathematical Logic

    Description:
    Syntax and semantics of propositional and first order predicate logic. Axiomatic theories and completeness. Brief discussion of incompleteness results.   More Info

    Offered in:
    • TBA
  • MATH 478  Independent Study

    Description:
    Work done by a student or group of students under faculty supervision on material not currently offered in a regularly scheduled course. Students wishing to undertake such work must first find a faculty member willing to supervise it; the work to be completed must be approved by the department chair.   More Info

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  • MATH 480  Special Topics

    Description:
    An advanced course offering intensive study of selected topics in mathematics. A course offered as MATH 480 is an advanced undergraduate mathematics course being given for the first time and covering topics not available in current courses. Such a course is offered either to fulfill a one-time need or to try out material with the intention of developing a new course. Course content varies each semester and will be announced prior to registration.   More Info

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  • MATH 490  Thesis Research

    Description:
    An opportunity for qualified, advanced students wot work on a specialized research project under the guidance of a faculty advisor.   More Info

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