// start with empty array, then add in the courses var courselist = new Array(); var numberofcourses = 0; // placement exam link var MPElink = "Mathematics Placement Examination"; // M546 courselist[numberofcourses++] = new Course( "M546", "Control Theory", "3", "This course is an introduction to the analysis of feedback control systems. " + "Topics may include: modeling of physical, biological and information " + "systems using linear and nonlinear differential equations; " + "state-space description of systems; frequency and time domains; linear " + "dynamic control systems; stability and performance of interconnected " + "systems, including use of block diagrams, Bode plots, Nyquist criterion, " + "and Lyapunov functions; optimal control, bang-bang control; discrete and digital control.", "M301, M343", null, null, null ); // M551 courselist[numberofcourses++] = new Course( "M551", "Markets and Asset Pricing", "3", "Interest Theory, Introduction to theory of options pricing, " + "Black-Scholes theory of options, general topics in finance as the time value " + "of money, rate of return of an investment, cash-flow sequence, utility " + "functions and expected utility maximization, mean variance analysis, " + "optimal portfolio selection, and the capital assets pricing model, topics in " + "measurement of interest.", "Two courses from the following: M301, M311, M343, M365, M447.", null, null, null ); // M560 courselist[numberofcourses++] = new Course( "M560", "Applied Stochastic Processes", "3", "Simple random walk as approximation of Brownian motion. Discrete " + "time Markov chains. Continuous time Markov chains; Poisson, compound " + "Poisson, and birth-and-death chains; Kolmogorov's backward and forward " + "equations; steady state. Diffusions as limits of birth-and-death " + "processes. Examples drawn from diverse fields of application.", "M301, M463 or M365, or consent of instructor.", null, null, null ); // M562 courselist[numberofcourses++] = new Course( "M562", "Statistical Design of Experiments", "3", "Latin squares, incomplete blocks, and nested designs. Design and analysis of factorial " + "experiments with crossing and nesting of factors, under fixed, random, and mixed " + "effects models, in the balanced case. Blocking and fractionation of experiments " + "with many factors at two levels. Exploration of response surfaces.", "M365, M466, or consent of instructor.", null, null, null ); // M565 courselist[numberofcourses++] = new Course( "M565", "Analysis of Variance", "3", "General linear hypothesis. Least squares estimation. Confidence regions. " + "Multiple comparisons. Analysis of complete layouts. Effects of departures " + "from underlying assumptions. Analysis of covariance.", "M466 and some matrix algebra.", null, null, null ); // M569 courselist[numberofcourses++] = new Course( "M569", "Statistical Decision Theory", "3", "Foundation of statistical analysis. Bayesian and decision theoretic " + "formulation of problems; construction of utility functions and " + "quantifications of prior information; methods of Bayesian decision " + "and inference, with applications; empirical Bayes; combination of " + "evidence; game theory and minimax rules, Bayesian design and " + "sequential analysis. Comparison of statistical paradigms.", "?????", null, null ); // M571 courselist[numberofcourses++] = new Course( "M571", "Analysis of Numerical Methods I", "3", "Solution of systems of linear equations, elimination and iterative " + "methods, error analyses, eigenvalue problems; numerical " + "methods for integral equations and ordinary differential " + "equations; finite difference, finite element, and Galerkin " + "methods for partial differential equations; stability of methods.", "M301, M311, and CSCI-C101", null, null ); // M572 courselist[numberofcourses++] = new Course( "M572", "Analysis of Numerical Methods II", "3", "Solution of systems of linear equations, elimination and " + "iterative methods, error analyses, eigenvalue problems; " + "numerical methods for integral equations and ordinary " + "differential equations; finite difference, finite element, " + "and Galerkin methods for partial differential equations; " + "stability of methods.", "M343 and M571", null, null, null ); // M575 courselist[numberofcourses++] = new Course( "M575", "Simulation Modeling", "3", "The statistics needed to analyze simulated data; examples " + "such as multiple server queuing methods, inventory control, " + "and exercising stock options; variance reduction variables " + "and their relation to regression analysis. Monte Carlo method, " + "Markov chain, and the alias method for generating discrete " + "random variables.", "M209, M216 or MATH-M212; M365, M463 or CSCI C455; CSCI C101", null, null, null ); // M576 courselist[numberofcourses++] = new Course( "M576", "Forecasting", "3", "Forecasting systems, regression models, stochastic " + "forecasting, time series, smoothing approach to " + "prediction, model selection, seasonal adjustment, " + "Markov chains, Markov decision processes, and " + "decision analysis.", "M301; M365 or M466", null, null, null ); // M577 courselist[numberofcourses++] = new Course( "M577", "Operations Research: Modeling Approach", "3", "Mathematical methods of operations research used " + "in the biological, social, management sciences. " + "Topics include modeling, linear programming, " + "the simplex method, duality theory, sensitivity " + "analysis, and network analysis. " + "Credit not given for both M577 and M447.", "M216, M209, or MATH-M212; M301", null, null, null ); // M400 //courselist[numberofcourses++] = //new Course( // "M400", // "Introduction to Abstract Mathematics", // "3", // "Rigorous construction of the real numbers. " + // "Emphasis on understanding and using the " + // "logic and language of mathematics, and on " + // "understanding and constructing various types of proofs.", // "Two 300 level mathematics courses.", // null, // "Not currently offered.", // null // ); // M403 courselist[numberofcourses++] = new Course( "M403", "Introduction to Modern Algebra I", "3", "Study of groups, rings and fields; including subgroups, " + "cosets, normal subgroups, factor groups and rings, " + "ideals, polynomial rings and irreducible elements. " + "In those years when M405 is taught rather than M404 , " + "some topics may be omitted and replaced by others from " + "M404 to provide a survey course in modern algebra.", "M301 and M347", null, "Fall semester of even-numbered years.", null ); // M404 courselist[numberofcourses++] = new Course( "M404", "Introduction to Modern Algebra II", "3", "Study of groups, rings and fields; including subgroups, cosets, " + "normal subgroups, factor groups and rings, ideals, " + "polynomial rings and irreducible elements.", "M403 or consent of instructor", null, "Spring semester of years congruent to 3 modulo 4 (e.g. 2007, 2011, etc.).", null ); // M405 courselist[numberofcourses++] = new Course( "M405", "Number Theory", "3", "Numbers and their representation, divisibility and factorization, " + "primes and their distribution, number theoretic functions," + " congruences, primitive roots, diophantine equations, quadratic " + "residues, sums of squares, number theory and analysis, algebraic " + "numbers, irrational, and transcendental numbers.", "M216 or MATH-M212", null, "Spring semester of years congruent to 1 modulo 4 (e.g. 2009, 2013, etc.).", null ); // M409 courselist[numberofcourses++] = new Course( "M409", "Linear Transformations", "3", "The study of linear transformations on a finite dimensional " + "vector space over the complex field. Canonical forms, " + "similarity theory; inner product spaces, dual spaces, and " + "diagonalization of normal transformations.", "M301", null, null, null ); // M413 courselist[numberofcourses++] = new Course( "M413", "Introduction to Analysis I", "3", "The real numbers, topology of Cartesian spaces, continuity, " + "derivatives, sequences and series of functions, the " + "Riemann-Stieltjes integral.", "M347 or three 300-level courses.", "It is strongly recommended that students who have had little " + "experience writing proofs take M347 before taking M413.", "Fall semester of odd-numbered years.", null ); // M414 courselist[numberofcourses++] = new Course( "M414", "Introduction to Analysis II", "3", "The real numbers, topology of Cartesian spaces, continuity, " + "derivatives, sequences and series of functions, the Riemann-Stieltjes integral.", "M413", null, "Spring semester of years congruent to 2 modulo 4 (i.e., 2010, 2014, etc.)", null ); // M415 courselist[numberofcourses++] = new Course( "M415", "Elementary Complex Variables with Applications", "3", "Algebra and geometry of complex numbers, elementary functions " + "of a complex variable, power series, integration, calculus of residues, " + "conformal mappings, and applications.", "M311", null, "Spring semesters of years congruent to 0 modulo 4 (i.e., 2008, 2012, etc.)", null ); // M420 courselist[numberofcourses++] = new Course( "M420", "Metric Space Topology", "3", "Topology of Euclidean and metric spaces. Limits and continuity. " + "Topological properties of metric spaces, including separation " + "properties, connectedness, and compactness. Complete metric " + "spaces. Elementary general topology.", "M347", null, null, null ); // M435 courselist[numberofcourses++] = new Course( "M435", "Introduction to Differential Geometry", "3", "An introduction to the geometry of curves and surfaces. " + "Topics will include arc length, torsion, Frenet formulae, " + "metrics, curvatures, and classical theorems in these areas.", "M311, M301", null, null, null ); // M436 courselist[numberofcourses++] = new Course( "M436", "Introduction to Geometries", "3", "Non-Euclidean geometry, axiom systems. Plane projective geometry, " + "Desarguesian planes. Perspectives, coordinates in the real " + "projective plane. The group of projective subgeometries corresponding " + "to subgroups. Models for geometries. Circular transformations.", "M347", "M403", null, null ); // M447 courselist[numberofcourses++] = new Course( "M447", "Mathematical Models and Applications I", "3", "Formation and study of mathematical models used in the " + "biological, social, and management sciences. Mathematical " + "topics include linear programming, games, graphs, Markov, " + "and Poisson processes, mathematical programming, queues, " + "and equations of growth. Suitable for secondary school teachers.", "M301", null, "Fall semester of even-numbered years.", null ); // M448 courselist[numberofcourses++] = new Course( "M448", "Mathematical Models and Applications II", "3", "Formation and study of mathematical models used in the " + "biological, social, and management sciences. Mathematical " + "topics include linear programming, games, graphs, Markov, " + "and Poisson processes, mathematical programming, queues, " + "and equations of growth. Suitable for secondary school teachers.", "M447", null, "Spring semester of odd-numbered years.", null ); // M451 courselist[numberofcourses++] = new Course( "M451", "The Mathematics of Finance and Interest Theory", "3", "Interest Theory, Introduction to theory of options pricing, " + "Black-Scholes theory of options, general topics in finance " + "as the time value of money, rate of return of an investment, " + "cash-flow sequence, utility functions and expected utility " + "maximization, mean variance analysis, optimal portfolio " + "selection, and the capital assets pricing model, topics in " + "measurement of interest.", "Two courses from the following: M301, M311, M343, M365, M447, M463.", null, "Fall semester of even-numbered years.", null ); // M463 courselist[numberofcourses++] = new Course( "M463", "Introduction to Probability Theory", "3", "The meaning of probability. Random experiment, probability models, " + "combinatoric techniques, conditional probability, independence. " + "Random variables, distributions, densities, expectation, moments, " + "transformation of random variables. Important discrete and " + "continuous distributions. Multivariate distributions, correlations. " + "Moment generating functions, laws of large numbers, central limit " + "theorem, normal approximation.", null, null, "Fall semester of odd-numbered years.", [["corequisite:", "M311"]] ); // M466 courselist[numberofcourses++] = new Course( "M466", "Introduction to Mathematical Statistics", "3", "Theory of sampling distribution, Chebyshev's inequality, " + "convergence in probability. Estimation theory, maximum " + "likelihood estimators, method of moments, goodness of " + "point estimators, confidence intervals. Hypothesis testing, " + "power function, error types, likelihood ratio tests. " + "Non-parametric methods. Regression. Analysis of variance. " + "Sufficient statistics. Bayesian estimation, asymptotic distribution " + "of Maximum likelihood estimators.", "M463", null, "Spring Semester of even-numbered years.", null ); // M467 courselist[numberofcourses++] = new Course( "M467", "Advanced Statistical Techniques I", "3", "Statistical techniques of wide application, develped from the least-square " + "approach: fitting of lines and curves to data, multiple regression, analysis " + "of variance of one-way and two-way layouts under various models, " + "multiple comparison.", "M466 or consent of instructor.", null, null, null ); // M468 courselist[numberofcourses++] = new Course( "M468", "Advanced Statistical Techniques II", "3", "Analysis of discrete data, chi-square tests of goodness of fit and " + "contingency tables, Behrens-Fisher problem, comparison of " + "variances, nonparametric methods, and some of the following " + "topics: introduction to multivariate analysis, discriminant " + "analysis, principal components.", "MATH-M366 or M466 or consent of instructor.", null, null, null ); // M471 courselist[numberofcourses++] = new Course( "M471", "Numerical Analysis I", "3", "Numerical solutions of nonlinear equations; interpolation, " + "including finite difference and splines; approximation, " + "using various Hilbert spaces; numerical differentiation " + "and integration; direct methods for linear systems; iterative " + "techniques in matrix algebra.", "M30l, M311, C101 or consent of instructor. Knowledge of a programming " + "language (C, C++ or Fortran) is a prerequisite for this course.", "M343", "Fall semester of odd-numbered years.", null ); // M472 courselist[numberofcourses++] = new Course( "M472", "Numerical Analysis II", "3", "Numerical solutions of nonlinear systems; solution of " + "ordinary differential equations: initial-value problems, " + "boundary-value problems; computation of eigenvalues " + "and eigenvectors; introduction of numerical solutions " + "for partial differential equations.", "M471, M343", null, "Spring semester of even-numbered years.", null ); // M491 courselist[numberofcourses++] = new Course( "M491", "Putnam Exam Seminar", "1", "The Putnam Examination is a national mathematics " + "competition for college undergraduates at all levels " + "of study. It is held in December each year. This problem " + "seminar is designed to help students prepare for the " + "examination. May be repeated twice for credit.", "M215 or MATH-M211 or consent of instructor or department chair.", null, null, null ); // M301 courselist[numberofcourses++] = new Course( "M301", "Linear Algebra and Applications", "3", "Systems of linear equations, the vector space Rn, abstract " + "vector spaces, linear dependence, bases, linear transformations, " + "matrices, eigenvalues and eigenvectors, applications.", "M215, M208, MATH-M211, or consent of instructor.", null, null, null ); // M311 courselist[numberofcourses++] = new Course( "M311", "Calculus III", "5", "Solid analytic geometry, functions of several variables, partial " + "differentiation, multiple integration. Vector-valued functions, " + "parameterization of curves, velocity and acceleration; tangent " + "and normal vectors, curvature, vector fields, divergence, " + "curl, line integrals.", "M216, MATH-M212 or consent of instructor.", "M301", "Fall semester", null ); // M325 courselist[numberofcourses++] = new Course( "M325", "Topics Course: Problem-solving Seminar in Actuarial Science", "1-3", "A problem-solving seminar to prepare students for the actuarial " + "examinations. May be repeated up to three times for credit.", "Consent of instructor.", null, "Spring semester.", null ); // M343 courselist[numberofcourses++] = new Course( "M343", "Introduction to Differential Equations with Applications I", "3", "Ordinary differential equations of the first order and linear " + "equations of higher order with applications, series solutions, " + "numerical techniques, Laplace Transforms.", "M216 or MATH-M212", null, "Fall semester.", null ); // M344 courselist[numberofcourses++] = new Course( "M344", "Introduction to Differential Equations with Applications II", "3", "Partial differential equations of physics, Fourier Series, " + "the Fourier method, boundary value problems, Sturm-Liouville " + "problems, Fourier integrals, Bessel functions.", "M311, M343", null, "Spring semester of odd-numbered years.", null ); // M347 courselist[numberofcourses++] = new Course( "M347", "Discrete Mathematics", "3", "Injective and surjective functions; inverse functions; composition; " + "reflexive, symmetric and transitive relations; equivalence relations; " + "sets including complements, products, and power sets; cardinality; " + "introductory logic including truth tables and quantification; " + "elementary techniques of proof including induction and recursion; " + "counting techniques; graphs and trees; discrete probability.", "M216 or MATH-M212", null, "Spring semester.", null ); // M365 courselist[numberofcourses++] = new Course( "M365", "Introduction to Probability and Statistics", "4", "Elementary concepts of Probability and Statistics. Combinatorics, " + "conditional probability, independence, random variables, " + "moments, Chebyshev inequality, law of large numbers, discrete " + "and continuous distributions. Statistical inference, point and " + "interval estimation, tests of hypotheses. Applications to social, " + "behavioral and natural sciences.", "M216, M209, or MATH-M212", null, "Fall semester of even-numbered years.", null ); // M380 courselist[numberofcourses++] = new Course( "M380", "History of Mathematics", "3", "The development of mathematics with emphasis on the modern " + "period; role of proof and truth; discovery of non-Euclidean " + "geometry; rigorization of calculus; the rise of algebra; the " + "paradoxes of set theory; logicist, formalist and intuitionist responses.", "M215, M208, or MATH-M211", null, "Fall semester of odd-numbered years.", null ); // K300 courselist[numberofcourses++] = new Course( "K300", "Statistical Techniques for Health Professions", "3", "Course introduces nursing/health science students to the " + "basic concepts and techniques of data analysis needed " + "in professional health care practice. Measurements, data " + "analysis and statistics are examined. Differences in types " + "of qualitative data and methods of interpretation are explored. " + "Procedures of estimation and hypothesis testing are also studied. " + "Emphasis is on the application of fundamental concepts to real " + "situations in client care. Credit given for only one of " + "K300 and K310.", "M014 or Level 3 on the " + MPElink + ".", null, null, null ); // K310 courselist[numberofcourses++] = new Course( "K310", "Statistical Techniques", "3", "An introduction to probability and statistics. Elementary " + "probability theory, conditional probability, independence, " + "random variables, discrete probability distributions, binomial, " + "Poisson and hypergeometric distributions, continuous probability " + "distributions, normal and t-distributions, measures of " + "central tendency and dispersion, central limit theorem. " + "Concepts of statistical inference, estimation, hypothesis testing, " + "regression, tolerance, quality control. Special topics discussed " + "may include time series, analysis of variance, nonparametric " + "methods, statistical decision theory, Bayesian inference. Credit " + "given for only one of K300 and K310.", "M115, M125, or Level 5 on the " + MPElink + ".", null, null, null ); // M208 courselist[numberofcourses++] = new Course( "M208", "Technical Calculus I", "3", "An introduction to differential and integral calculus for today's technology " + "students. It covers analytic geometry, limits, derivatives, applications of " + "the derivatives, the integrals, and transcendental functions and technical " + "applications. The approach is semi-rigorous with emphasis on the " + "applications of calculus to technology. Credit given for at most one " + "of M119, M208, and M215.", "C- or better in M115, or C- or better in both M125 & M126, or Level 6 on the " + MPElink + ".", null, null, null ); // M209 courselist[numberofcourses++] = new Course( "M209", "Technical Calculus II", "3", "This is the second semester of differential and integral calculus for today’s " + "technology students. It covers application of the integral, limit techniques, " + "integration techniques, infinite series, differential equations, and the Laplace " + "transform. The approach is semi-rigorous with emphasis on the applications " + "of calculus to technology. Credit given for at most one " + "of M120, M209, and M216.", "C- or better in either M208 or M215", null, null, null ); // M215 courselist[numberofcourses++] = new Course( "M215", "Analytic Geometry & Calculus I", "5", "Functions, limits, continuity, derivative, definite integral, applications, " + "exponential and logarithmic functions. Credit given for at most one " + "of M119, M208, and M215.", "C- or better in M115, or C- or better in both M125 & M126, or Level 6 on the " + MPElink + ".", null, null, null ); // M216 courselist[numberofcourses++] = new Course( "M216", "Analytic Geometry & Calculus II", "5", "Definite integral, applications, L'Hopital's Rule, techniques of integration, " + "numerical integration, " + "limits of sequence, infinite series, polar coordinates. Credit given for at " + "most one of M120, M209, and M216.", "C- or better in either M215 or MATH-M211", null, null, null ); // M260 courselist[numberofcourses++] = new Course( "M260", "Combinatorial Counting and Probability", "3", "Permutations, combinations, counting principles, tree diagrams, " + "binomial theorem, statistical experiments, conditional " + "probability, independent events, random variables, probability " + "density, cumulative distribution, expected values, standard " + "deviations, binomial, Poisson, normal distribution, and the " + "central limit theorem. Credit not given for both M260 and M365.", "M215, M208 or MATH-M211", null, "Fall semester", null ); // M261 courselist[numberofcourses++] = new Course( "M261", "Statistical Inferences", "2", "Estimates for population parameters, estimation judged by " + "unbiasedness and mean square error, t-distribution, " + "chi-square distribution, philosophy of hypothesis testing, " + "probabilities in making conclusions after testing, estimation " + "and hypothesis testing, linear least square regression equation " + "for prediction and forecast. " + "Credit not given for both M261 and MATH-M366.", "M260", null, "Spring semester", null ); // M107 courselist[numberofcourses++] = new Course( "M107", "College Algebra", "3", "Designed to provide algebraic concepts and skills including sets of real numbers, " + "exponents, complex fractions, linear equations and quadratic equations, "+ "rectangular coordinates, polynomial and rational expressions, complex " + "numbers, and The Fundamental Theorem of Algebra. " + "Does not satisfy the College of Liberal Arts and Sciences " + "general education requirements.", "M014 or equivalent, or Level 3 on the " + MPElink + ".", null, null, null ); // M108 courselist[numberofcourses++] = new Course( "M108", "Quantitative Reasoning", "3", "Number sense, operations, mathematical relationships, functions, " + "data interpretation, geometry, measurement, reasoning. Emphasis " + "on building conceptual understanding and developing problem " + "solving skills. Does not satisfy the College of Liberal Arts and " + "Sciences general education requirements.", "M014 or equivalent, or Level 3 on the " + MPElink + ".", null, null, null ); // M110 //courselist[numberofcourses++] = //new Course( // "M110", // "Excursions into Mathematics", // "3", // "A course designed to convey the flavor and spirit of mathematical " + // "languages of quantity. Algebra, probability and statistics, computer " + // "programming in BASIC. Satisfies the Liberal Arts and Sciences " + // "Languages of Quantity distribution requirement.", // "M014 or equivalent, or Level 3 on the " + MPElink + ".", // null, // null, // null // ); // M111 courselist[numberofcourses++] = new Course( "M111", "Mathematics in the World", "3", "Conveys the spirit of mathematical languages of quantity; " + "students apply concepts from algebra, geometry, management science, " + "probability and statistics, and use scientific software to analyze " + "real world situations. Satisfies LAS Languages of Quantity " + "distribution requirement and General Education requirements for " + "baccalaureate degrees. " + "M111 grade can replace IU South Bend MATH-M110 grade.", "M014 or equivalent, or Level 3 on the " + MPElink + ".", null, null, null ); // M115 courselist[numberofcourses++] = new Course( "M115", "Precalculus and Trigonometry", "5", "Designed to prepare students for higher numbered mathematics " + "and computer science courses, including calculus (M215). " + "Graphing equations in two variables; functions and their " + "graphs; linear, quadratic, polynomial, rational, exponential, " + "logarithmic, trigonometric and inverse trigonometric functions. " + "Equivalent to M125 & M126. Credit not given for both M115 and " + "M125 & M126.", "C- or better in M107 or equivalent, or Level 4 on the " + MPElink + ".", null, null, null ); // M118 courselist[numberofcourses++] = new Course( "M118", "Finite Mathematics", "3", "Set theory, linear systems, matrices, probability, linear programming. " + "Applications to problems from business and the social sciences.", "M014 or equivalent, or Level 3 on the " + MPElink + ".", null, null, null ); // M119 courselist[numberofcourses++] = new Course( "M119", "Brief Survey of Calculus I", "3", "Introduction to calculus. Primarily for students from business " + "and the social sciences. Credit given for at most one " + "of M119, M208, and M215.", "C- or better in M115, or C- or better in M125, or Level 5 on the " + MPElink + ".", null, null, null ); // M120 courselist[numberofcourses++] = new Course( "M120", "Brief Survey of Calculus II", "3", "A continuation of Mll9 covering topics in elementary differential " + "equations, calculus of functions of several variables, " + "trigonometric functions, techniques of integration. Credit not " + "given for both M216 and M120.", "M119", null, "Not currently offered.", null ); // M125 courselist[numberofcourses++] = new Course( "M125", "Precalculus Mathematics", "3", "Designed to prepare students for higher numbered mathematics " + "and computer science courses including calculus (M119). " + "Graphing equations in two variables; functions and their " + "graphs; linear, quadratic, polynomial, and rational functions; " + "exponential and logarithmic functions. Credit not given for both " + "M125 and M115.", "C- or better in M107, or Level 4 on the " + MPElink + ".", null, null, null ); // M126 courselist[numberofcourses++] = new Course( "M126", "Trigonometric Functions", "2", "Designed to develop the properties of the trigonometric " + "and inverse trigonometric functions and to prepare for " + "a course in calculus (M215). Credit not given for both " + "M126 and M115.", "C- or better in M125, or Level 5 on the " + MPElink + ".", null, null, null ); // M004 courselist[numberofcourses++] = new Course( "M004", "Introduction To Algebra", "3", "Designed for development of beginning algebra skills, at the " + "middle school level. S/F grading. Credit may not be used " + "toward a degree. ", "Level 1 on the " + MPElink + ".", null, null, null ); // M014 courselist[numberofcourses++] = new Course( "M014", "Basic Algebra", "4", "Designed to provide algebraic skills needed for future " + "mathematics courses. Algebraic fractions, exponents, linear " + "equations, quadratic equations, inequalities, factoring, " + "elementary graphs. S/F grading. Credit may not be used " + "toward a degree.", "M004, or Level 2 on the " + MPElink + ".", null, null, null ); // T101 courselist[numberofcourses++] = new Course( "T101", "Mathematics for Elementary Teachers I", "3", "The foundations of arithmetic, including elements of set theory, " + "numeration systems, operations, fractions and elementary number theory. " + "Emphasis is on explaining, illustrating, and communicating mathematical ideas. " + "Does not satisfy liberal arts and sciences general education requirement.", "M014 or equivalent, or Level 3 on the " + MPElink + ".", null, null, null ); // T102 courselist[numberofcourses++] = new Course( "T102", "Mathematics for Elementary Teachers II", "3", "Integers, rational and real numbers, equations, and inequalities, " + "functions and graphs, measurement concepts, problem-solving elementary " + "combinatorics, probability, and statistics. Emphasis is on applying " + "problem-solving strategies in a variety of mathematical situations. " + "Does not satisfy liberal arts and sciences general education requirement.", "C or better in T101", null, null, null ); // T103 courselist[numberofcourses++] = new Course( "T103", "Mathematics for Elementary Teachers III", "3", "Topics include analysis and measurement of two and three " + "dimensional figures; congruent and similar triangles, compass " + "and straight-edge constructions. Emphasis is on the transition " + "from visual and informal reasoning to formal reasoning about " + "geometric objects and relationships. Does not satisfy liberal arts " + "and sciences general education requirements.", "C or better in T101", null, null, null ); // T201 courselist[numberofcourses++] = new Course( "T201", "Problem Solving", "3", "Provides experiences in mathematical problem solving for " + " future teachers of mathematics, and for others interested in " + "mathematical thinking. Exploration and development of the " + "general processes of mathematical thinking, including monitoring " + "and reflection, conjecturing, justifying and convincing.", "Either C or better in T102 & T103, or M118 & M125, or consent of instructor.", null, null, null ); // T336 courselist[numberofcourses++] = new Course( "T336", "Topics in Euclidean Geometry", "3", "Rigorous treatment of high school geometry topics, some " + "advanced theorems and constructions, impossible constructions; " + "transformations, dissection theory, projective geometry; " + "formalization and non-Euclidean geometry.", "M301", null, "Spring semester of even-numbered years.", null ); // T436 courselist[numberofcourses++] = new Course( "T436", "Secondary Mathematics for Teachers: An Advanced Perspective", "3", "Emphasizes developing a deeper understanding of secondary " + "mathematics by examining its fundamental ideas from an " + "advanced perspective. Topics selected from real and complex " + "number systems, functions, equations, integers, polynomials, " + "congruence, distance and similarity, area and volume, " + "and trigonometry.", "M216 and one 300-level mathematics course, or permission of instructor.", null, "Spring semester of odd-numbered years.", null ); // T490 courselist[numberofcourses++] = new Course( "T490", "Topics for Elementary Teachers", "3", "Development and study of a body of mathematics specifically designed for " + "experienced elementary teachers. Examples include probability, " + "statistics, geometry and algebra. Open only to graduate " + "elementary teachers.", "T103", null, null, null ); // the end