Mathematics & Statistics

• CAS MA 107: Mathematical Reasoning in the Elementary Grades: Number Systems
  Required for undergraduates seeking licensure in elementary education, special education, or deaf studies. Focuses on number systems, operations including mental mathematics, proportionality, number theory, and probability. Non-SED students by signed permission only. Does not satisfy CAS Divisional Studies or Math/Stat major.
• CAS MA 108: Mathematical Reasoning in the Elementary Grades: Algebra, Geometry, and Statistics
  Required for undergraduates seeking licensure in elementary education, special education, or deaf studies. Focuses on topics in algebra, geometry, measurement, and statistics. Non-SED students by signed permission only. Does not satisfy CAS Divisional Studies or Math/Stat major.
• CAS MA 109: The Art and Science of Quantitative Reasoning
  Buying music on-line, making phone calls, predicting the weather, or controlling disease outbreaks would be impossible without mathematics, statistics, and computer science. Focuses on methods of reasoning common to these disciplines, and how they enable the modern world. Also offered as CAS CS 109.
• CAS 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: 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.
• CAS MA 115: Statistics I
  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 courses: CAS MA 113, MA 115, or MA 213. 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.
• CAS MA 116: Statistics II
  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 courses: CAS MA 116, MA 214, or MA 614. 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.
• CAS MA 118: College Algebra and Trigonometry
  MA 118 may not be taken for credit by any student who has completed any MA course numbered 121 or higher. 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.
• CAS MA 120: Applied Mathematics for Social and Management Sciences
  MA 120 may not be taken for credit by any student who has completed any MA course numbered 124 or higher. 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 both mathematics requirement and divisional studies requirement.
• CAS MA 121: Calculus for the Life and Social Sciences I
  Students may receive credit for either CAS MA 121 or 123, but not both. 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.
• CAS MA 122: Calculus for the Life and Social Sciences II
  Students may receive credit for not more than one of the following courses: CAS MA 122, MA 124, MA 127 or MA 129. 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.
• CAS MA 123: Calculus I
  Students may receive credit for either CAS MA 121 or 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.
• CAS MA 124: Calculus II
  Students may receive credit for not more than one of the following courses: CAS 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.
• CAS MA 127: Enriched Calculus
  Students may receive credit for not more than one of the following courses: CAS MA 122, MA 124, MA 127, or MA 129. For students with prior experience in calculus. Emphasizes material from the end of Calculus 2 (sequences, Taylor series), reviews more challenging problems from Calculus 1.(MCS)
• CAS MA 129: Honors Calculus
  Students may receive credit for not more than one of the following courses: CAS MA 122, MA 124, MA 127, or MA 129. Alternative to CAS MA 127 for advanced students with a deep interest in mathematics. Continuity, degrees of differentiability, integrability. Transcendental functions. Techniques of differentiation and integration. Sequences, series, summability, uniform convergence. Complex numbers, Taylor series. Application to mechanics, probability.
• CAS MA 142: Introduction to Linear Algebra
  Systems of linear equations; matrices. Vector spaces and linear transformations. Determinants. Eigenvalues and eigenvectors. Applications. Cannot be taken for credit in addition to CAS MA 242, MA 442, or ENG EK 102.
• CAS MA 193: Discrete Mathematics for Engineering
  Propositional logic, set theory, relations, combinatorics, graphs. Topics are treated with particular emphasis on applications to the engineering discipline. (Cannot be taken for credit in addition to CAS MA 293.)
• CAS MA 196: Introductory Quantitative Biology
  An introduction to the application of mathematics to problems in biology, with particular emphasis on questions arising from ecology, physiology, neuroscience, and genetics. Major focus on building mathematical models for biological problems and analysis with graphical and mathematical techniques. Also offered as CAS BI 196.
• CAS MA 213: Basic Statistics and Probability
  Students may receive credit for not more than one of the following courses: CAS MA 113, MA 115, or MA 213. Elementary treatment of probability densities, means, variances, correlation, independence, the binomial distribution, the central limit theorem. Stresses understanding and theoretical manipulation of statistical concepts.
• CAS MA 214: Applied Statistics
  Students may receive credit for not more than one of the following courses: CAS MA 116, MA 214, or MA 614. 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.
• CAS MA 225: Multivariate Calculus
  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 threorems. (Cannot be taken for credit in addition to CAS MA 230.)

Note that this information may change at any time.

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