# Mathematics, Statistics

• MET MA 113: Elementary Statistics
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: MET MA 113, MA 213, or CAS MA 113, MA 115, or MA 213. 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. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
• Quantitative Reasoning II
• MET MA 118: College Algebra and Trigonometry
Undergraduate Prerequisites: MET MA 100; or equivalent. Part-time MET students only.
Intensive one-semester course in algebra and trigonometry. Prepares students to study calculus. Algebraic operations, word problems, linear and quadratic functions, and identities. Analytic geometry. Exponential and logarithmic functions. MET MA 118 may be taken for CAS credit but does not satisfy the CAS mathematics requirement.
• MET MA 120: Applied Mathematics for Social and Management Sciences
Linear equations, systems of linear equations, matrix algebra, exponential functions and logarithms, elements of differential calculus, optimization, probability. Applications in economics, finance, and management. Note: MET MA 120 may be taken for CAS credit.
• MET MA 121: Calculus for the Life and Social Sciences I
Students may receive credit for either MET MA 121 or MA 123 or CAS MA 121 or MA 123, but not both. Differentiation and integration of functions of one variable. Same topics as MA 123, but with less emphasis on mathematical generality and more on application. Especially suitable for students concentrating in the biological and social sciences.
• MET MA 123: Calculus I
Undergraduate Prerequisites: MET MA 118; or equivalent.
Students may receive credit for either MET MA 121 or MA 123 or CAS MA 121 or MA 123, but not both. 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.
• MET MA 124: Calculus II
Undergraduate Prerequisites: Prereq: MET MA 121 or MA 123 or CAS MA 121 or MA 123.
Students may receive credit for not more than one of the following courses: MA 122, MA 124, MA 127, or MA 129. 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.
• MET MA 213: Basic Statistics and Probability
Undergraduate Prerequisites: MET MA 118; or equivalent.
Elementary treatment of probability densities, means, variances, correlation, independence, the binomial distribution, and the central limit theorem. Stresses understanding and theoretical manipulation of statistical concepts. Note: Credit will be given for only one of the following courses: MET MA 113 or MA 213.
• MET MA 214: Applied Statistics
Undergraduate Prerequisites: MET MA 213; or consent of instructor.
Inference about proportions, goodness of fit, student's t-distribution, and tests for normality. Two-sample comparisons, regression and correlation, tests for linearity and outliers, residual analysis, contingency tables, and analysis of variance.
• MET MA 225: Multivariate Calculus
Undergraduate Prerequisites: MET MA 124 or CAS MA 124 or CAS MA 127 or CAS MA 129 or CAS MA 136.
Vectors, lines, and planes. Multiple integration and cylindrical and spherical coordinates. Partial derivatives, directional derivatives, scalar and vector fields, the gradient, potentials, multivariate Taylor series, approximation, and multivariate minimization.
• MET MA 581: Probability
Undergraduate Prerequisites: MET MA 225, or CAS MA 225, or MA 230.
Graduate Prerequisites: MET MA 225 or CAS MA 225 or CAS MA 230.
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.
• MET MA 582: Mathematical Statistics
Undergraduate Prerequisites: MET MA 581, or CAS MA 381, or MA 581.
Graduate Prerequisites: MET MA 581 or CAS MA 381 or CAS MA 581.
Interval estimation. Point estimation including sufficiency, Rao-Blackwell theorem, completeness, uniqueness, Rao-Cramer inequality, and maximum likelihood estimation. Tests of hypothesis: uniformly most powerful tests, uniformly most powerful unbiased tests, likelihood ratio test, chi-squared test, comparison of means and variances, ANOVA, regression, and some nonparametric tests.
• MET MA 603: SAS with Statistical Applications
Undergraduate Prerequisites: MET or CAS 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 will be used as case studies emphasizing hands-on experience with SAS for Windows. Laboratory course.