College of Arts & Sciences: Mathematics & Statistics

The listing below reflects the Hub units fulfilled by courses in the 2019/2020 academic year.

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  • CAS MA 111: Mathematical Explorations
    Students explore challenging mathematics problems chosen from an array of topics that can be solved in multiple ways. Includes making, testing, and modifying conjectures; constructing proofs; posing new problems; extensive classroom interaction; reflective and other writing. Effective Fall 2019, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Oral and/or Signed Communication, Creativity/Innovation.
    • Quantitative Reasoning II
    • Oral and/or Signed Communication
    • Creativity/Innovation
  • CAS MA 113: Elementary Statistics
    CAS 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 will be in social sciences and students will be able to answer understand the basics of using a sample to predict uncertainty. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 115: Statistics I
    CAS 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. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 116: Statistics II
    CAS 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. This course introduces basic statistical modeling techniques. One- or two- sample inference for unknown means, proportions and variances, categorical data analysis, introduction to design of experiments and analysis of variance, analysis of simple and multiple linear regression models, non-parametric methods. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • 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. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning I.
    • Quantitative Reasoning I
  • CAS MA 119: Applied Mathematics for Personal Finance
    Applications of mathematics for personal financial decision-making. Systems of equations, exponential functions, logarithms, probability, descriptive statistics, and numerical simulation, for modeling saving, borrowing, inflation, purchasing power, taxation, government benefits, risk management, insurance, annuities, and investments. Carries MCS divisional credit in CAS. This course fulfills a single unit in each of the following BU Hub areas: Social Inquiry I, Quantitative Reasoning I. This course also fulfills the learning outcomes for Life Skills.
    • Social Inquiry I
    • Quantitative Reasoning I
    • Life Skills
  • 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. Topics chosen from Linear equations, systems of linear equations, matrix algebra, exponential functions and logarithms, elements of differential calculus, optimization, probability. Some sections focus on applications in economics, finance, and management. Satisfies both mathematics requirement and divisional studies requirement. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 121: Calculus for the Life and Social Sciences I
    Students may receive credit for not more than one of the following courses: CAS MA 121 or CAS MA 123. Differentiation and integration of functions of one variable. Same topics as CAS MA 123, but with less emphasis on mathematical generality and more on applications. Especially suitable for students concentrating in the biological and social sciences. Carries MCS Divisional credit in CAS This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • 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. Carries MCS divisional credit in CAS This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 123: Calculus I
    Students may receive credit for not more than one of the following courses: CAS MA 121 or CAS MA 123. Limits; derivatives; differentiation of algebraic and transcendental functions. Applications to maxima, minima, and convexity of functions. The definite integral; the fundamental theorem of integral calculus. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • 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. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 150: Investigations in Geometry
    An immersion experience in mathematical thinking and mathematical habits of mind. Students investigate topics in Euclidean and non-Euclidean geometry starting from basic elementary material and leading to an overview of current research topics. Does not satisfy MCS Divisional requirement. Does satisfy CAS WR 150 requirement. This course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Writing: Research & Inquiry, Research and Information Literacy.
    • Quantitative Reasoning II
    • Writing, Research, and Inquiry
    • Research and Information Literacy
  • 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 central limit theorem, confidence intervals, and p-values. Students will be able to answer questions such as how can a pollster use a sample to predict the uncertainty of an election? Carries MCS divisional credit in CAS. This course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Teamwork/Collaboration.
    • Quantitative Reasoning II
    • Teamwork/Collaboration
  • 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. Carries MCS divisional credit in CAS. This course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Teamwork/Collaboration.
    • Quantitative Reasoning II
    • Teamwork/Collaboration
  • 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 theorems. (Cannot be taken for credit in addition to CAS MA 230.) This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 242: Linear Algebra
    Cannot be taken for credit in addition to CAS MA 442 or ENG EK 103. 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. Effective Fall 2019, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II.
    • Quantitative Reasoning II
  • CAS MA 505: History of Mathematics
    The development of mathematics from Antiquity through the 18th Century. Assuming background in modern mathematics, its roots are systematically pursued in terms of modern techniques, structures, and results. Providing the emergence of mathematical concepts and procedures, a coherent, unifying view of number, geometry, algebra, calculus, and mathematical analysis is presented. This course fulfills a single unit in the following BU Hub area: Historical Consciousness.
    • Historical Consciousness
  • CAS MA 531: Mathematical Logic
    The investigation of logical reasoning with mathematical methods. The syntax and semantics of sentential logic and quantificational logic. The unifying Godel Completeness Theorem, and models of theories. A look at the Godel Incompleteness Theorem and its ramifications. This course fulfills a single unit in the following BU Hub area: Philosophical Inquiry and Life's Meanings.
    • Philosophical Inquiry and Life's Meanings
  • CAS MA 575: Linear Models
    Post-introductory course on linear models. Topics to be covered include simple and multiple linear regression, regression with polynomials or factors, analysis of variance, weighted and generalized least squares, transformations, regression diagnostics, variable selection, and extensions of linear models. Effective Fall 2019, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II, Teamwork/Collaboration.
    • Quantitative Reasoning II
    • Teamwork/Collaboration

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