Courses
Mathematics and Statistics
Check back on December 15th for Summer 2010 courses.
Courses in: | College of Arts and Sciences | Metropolitan College |
College of Arts and Sciences
Elementary Statistics
CAS MA 113
Basic concepts of estimation and tests of hypotheses, ideas from probability; one-, two-, and multiple-sample problems. Applications in social sciences. Primarily for students in the social sciences who require a one-semester introduction to statistics; others should consider CAS MA 115 or MA 213. Meets MCS divisional studies requirement. 4 cr.
Note: MA 113 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: MA 113, MA 115, or MA 213.
Statistics I
CAS MA 115
Numerical and graphical summaries of univariate and bivariate data. Basic probability, random variables, binomial distribution, normal distribution. One-sample statistical inference for normal means and binomial probabilities. Primarily for students in the social sciences with limited mathematics preparation. Meets MCS divisional studies requirement. 4 cr.
Note: MA 115 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following: MA 113, MA 115, or MA 213.
Statistics II
CAS MA 116
Prereq: CAS MA 115 or equivalent. One- or two-sample inference for normal means and binomial probabilities, analysis of variance, simple linear regression, multiple regression, analysis of categorical data. Introduction to survey design and design of experiments. Primarily for students in the social sciences with limited mathematics preparation. Meets MCS divisional studies requirement. 4 cr.
Note: MA 116 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following: MA 116, MA 214, or MA 614.
College Algebra and Trigonometry
CAS MA 118
Functions and graphs. Linear and quadratic equations. Exponents; logarithms. Right and oblique triangles; trigonometric functions. Optimization. Specifically intended to prepare students with insufficient background in mathematics for the study of calculus. This course may not be used in fulfillment of the divisional studies requirement. Satisfies the mathematics requirement in the College program. 4 cr.
Note: MA 118 may not be taken for credit by any student who has completed any MA course numbered 121 or higher.
Applied Mathematics for Social and Management Sciences
CAS MA 120
Linear equations, systems of linear equations, matrix algebra, exponential functions and logarithms, elements of differential calculus, optimization, probability. Applications in economics, finance, and management. Satisfies mathematics requirement and meets MCS divisional studies requirement. 4 cr.
Note: MA 120 may not be taken for credit by any student who has completed any MA course numbered 124 or higher.
Calculus for Life and Social Sciences I
CAS MA 121
Differentiation and integration of functions of one variable. Same topics as CAS MA 123, but with less emphasis on mathematical generality and more on application. Especially suitable for students concentrating in the biological and social sciences. Meets MCS divisional studies requirement. 4 cr.
Note: Students may receive credit for either CAS MA 121 or MA 123, but not both.
Calculus for Life and Social Sciences II
CAS MA 122
Prereq: CAS MA 121 or MA 123. Continuation of CAS MA 121. Review of univariate calculus, calculus of the elementary transcendental functions, elementary differential equations, elementary multivariate calculus. Applications to exponential growth, optimization, equilibrium, and dynamic modeling problems. Meets MCS divisional studies requirement. 4 cr.
Note: Students may receive credit for not more than one of the following: MA 122, MA 124, MA 127, or MA 129.
Calculus I
CAS MA 123
Limits; derivatives; differentiation of algebraic functions. Applications to maxima, minima, and convexity of functions. The definite integral; the fundamental theorem of integral calculus; applications of integration. Meets MCS divisional studies requirement. 4 cr.
Note: Students may receive credit for either CAS MA 121 or 123, but not both.
Calculus II
CAS MA 124
Prereq: CAS MA 121 or MA 123. Logarithmic, exponential, and trigonometric functions. Sequences and series; Taylor's series with the remainder. Methods of integration. Calculus I and II together constitute an introduction to calculus of a function of a single real variable. Meets MCS divisional studies requirement. 4 cr.
Note: Students may receive credit for not more than one of the following: MA 122, MA 124, MA 127, or MA 129.
Introduction to Linear Algebra
CAS MA 142
Coreq: CAS MA 122, MA 124, MA 127, or MA 129. Systems of linear equations; matrices. Vector spaces and linear transformations. Determinants. Eigenvalues and eigenvectors. Applications. 2 cr.
Note: Cannot be taken for credit in addition to CAS MA 242, MA 442, or ENG EK 102.
Basic Statistics and Probability
CAS MA 213
Prereq: good background in high school algebra. Elementary treatment of probability densities, means, variances, correlation, independence, the binomial distribution, the central limit theorem. Stresses understanding and theoretical manipulation of statistical concepts. Meets MCS divisional studies requirement. 4 cr.
Note: Students may receive credit for not more than one of the following: MA 113, MA 115 or MA 213.
Applied Statistics
CAS MA 214
Prereq: CAS MA 213 or consent of instructor. Inference about proportions, goodness of fit, student's t-distribution, tests for normality; two-sample comparisons, regression and correlation, tests for linearity and outliers, residual analysis, contingency tables, analysis of variance. Meets MCS divisional studies requirement. 4 cr.
Note: Students may receive credit for not more than one of the following: MA 116, MA 214, or MA 614.
Multivariate Calculus
CAS MA 225
Prereq: CAS MA 124, MA 127, or MA 129. Vectors, lines, planes. Multiple integration, cylindrical and spherical coordinates. Partial derivatives, directional derivatives, scalar and vector fields, the gradient, potentials, approximation, multivariate minimization, Stokes's and related theorems. 4 cr.
Note: Cannot be taken for credit in addition to CAS MA 230.
Differential Equations
CAS MA 226
Prereq: CAS MA 225 or MA 230. First-order linear and separable equations. Second-order equations and first-order systems. Linear equations and linearization. Numerical and qualitative analysis. Laplace transforms. Applications and modeling of real phenomena throughout. 4 cr.
Note: Cannot be taken for credit in addition to CAS MA 231.
Linear Algebra
CAS MA 242
Coreq: CAS MA 122, MA 124, MA 127, or MA 129. Matrix algebra, solution of linear systems, determinants, Gaussian elimination, fundamental theory, row-echelon form. Vector spaces, bases, norms. Computer methods. Eigenvalues and eigenvectors, canonical decomposition. Applications. 4 cr.
Note: Cannot be taken for credit in addition to CAS MA 142, MA 442, or ENG EK 102.
Discrete Mathematics I
CAS MA 293
Prereq: CAS MA 123. Propositional logic, set theory. Elementary probability theory. Number theory. Combinatorics with applications. 4 cr.
Applied Abstract Algebra
CAS MA 294
Prereq: CAS MA 293 or consent of instructor. Abstract algebra and its applications to combinatorics. A first exposure to groups, rings, and fields via significant combinatorial applications. Students who have already received credit for MA 541 or MA 542 may not subsequently receive credit for MA 294. 4 cr.
Introduction to Number Theory
CAS MA 341
Prereq: CAS MA 242 or consent of instructor. Study of integers and basic results of number theory. Topics include Linear Diophantine equations, prime numbers and factorization, congruences, and quadratic reciprocity. 4 cr.
Elementary Probability
CAS MA 381
Prereq: CAS MA 225 or MA 230. A calculus-based introductory course in probability. Language of probability, combinatorics, conditional probability, discrete and continuous random variables, the Poisson process, joint probability distribution, moment generating function, law of large numbers and central limit theorem, sample estimators for mean and variance. 4 cr.
Note: Cannot be taken for credit in addition to CAS MA 581 or MA 590.
Advanced Calculus
CAS MA 411
Prereq: CAS MA 225 or MA 230 and MA 242 or MA 442. Extends concepts and techniques of calculus and develops further applications. Topics include higher dimensional calculus, applications of vector analysis, uniform convergence of series, complex series, improper integrals, gamma and beta functions, Stirling's formula, Fourier series and transform. 4 cr.
Complex Variables
CAS MA 412
Prereq: CAS MA 225 or MA 230. Basic concepts, results, and applications of complex analysis. Emphasis on computation and applications. Complex plane and functions, differentiability, Cauchy-Riemann conditions, contour integrals, Cauchy formulas, complex series, residue calculus, applications. Extends the concepts of the calculus to the complex setting. 4 cr.
Topics in Number Theory
CAS MA 547
Prereq: CAS MA 242. Coreq: CAS MA 548. An exploration of rational arithmetic and its generalizations. Foundations of arithmetic, Euclid's algorithm, the fundamental theorem of arithmetic, modulo arithmetic, continued fractions, Diophantine approximation, Pell's equation, sums of squares, the arithmetic of polynomials over a field, arithmetic in quadratic number field, lattice point-free regions, Minkowski's theorem on convex bodies. This class is part of the PROMYS program. Consent of instructor is required. There is an orientation meeting on June 29. Students must register for both CAS MA 547 and MA 548. 4 cr.
Problem Solving in Number Theory
CAS MA 548
Coreq: CAS MA 547. Mathematical heuristics, including good use of language and symbolism, techniques of exploration and discovery. Through their intensive work on a large assortment of unusually challenging problems in number theory, students practice the art of mathematical discovery, numerical exploration, formulation and critique of conjectures, and techniques of proof and generalization. This class is part of the PROMYS program. Consent of instructor is required. There is an orientation meeting on June 29. Students must register for both CAS MA 547 and MA 548. 4 cr.
Geometry and Symmetry
CAS MA 549
Problem-oriented seminar in modern geometry focusing on invariants of transformation groups. Specific topics may include Euclidean and plane geometry, Hilbert's Axioms, conics, tilings, finite, projective, spherical and/or hyperbolic geometry, tessellations, applications to number theory, Platonic Solids. 4 cr.
Probability
CAS MA 581
Prereq: CAS MA 225 or MA 230 or consent of instructor. Basic probability, conditional probability, independence. Discrete and continuous random variables, mean and variance, functions of random variables, moment generating function. Jointly distributed random variables, conditional distributions, independent random variables. Methods of transformations, law of large numbers, central limit theorem. (Cannot be taken for credit in addition to MA 381 or MA 590.) 4 cr.
Metropolitan College
Group Insurance Applications of Actuarial Principles
MET AT 752
Covers the application of basic actuarial principles to group life and group health financial security systems. Material covered includes the purpose of these systems, financial security product design and development, underwriting and risk management, premium determination, and the funding and valuation of group life and group health financial security systems. Group systems in the United States are emphasized, but the course also reviews the Canadian health system. 4 cr.
Pension Mathematics and Mortality Tables
MET AT 782
Prereq: MET MA 581 and AT 721. Covers pension actuarial funding methods and the use of life contingencies. Included are analyses of the funding methods allowable under ERISA, their computation, and uses. Also reviews the use of mortality tables and discusses the various actuarial functions that are used in pension actuarial calculations. Finally, the course reviews implications for pension funding under the IRS. 4 cr.
Internship in Actuarial Science II
MET AT 982
Prereq: successful completion of MET AT 722 and AT 731, and an overall cumulative GPA of 3.3 or higher. Offered to students who seek practical applications of actuarial principles in insurance companies, financial institutions, pension consulting firms, and other related fields. Requires students to participate in an internship program within the industry. Students need to submit monthly progress reports and a final semester report to the Chairman, Department of Actuarial Science at Boston University. Variable cr.
SAS with Statistical Applications
MET MA 603
Prereq: CAS CS 111, MET CS 201 or equivalent, and MET MA 214. Offers a unified and in-depth coverage of the statistical computer package SAS, and its statistical applications. Topics include the language of SAS, data formatting, creating and storing SAS data sets, file manipulations, macro procedure, and graphics. Also included are procedures for statistical techniques selected from analysis of variance, regression, factor analysis, scoring, and categorical data analysis. Several large data sets are used as case studies emphasizing hands-on experience with SAS for Windows. Laboratory course. 4 cr.
Mathematics for Management
MET OM 500
Provides an overview of fundamental mathematical concepts, with emphasis on the solution of word problems. Topics covered include quadratic equations, signed numbers, polynomials, graphs, roots and radicals, and basic concepts of differential and integral calculus. Prerequisite course which may not be used toward graduate credit. 2 cr.
