# 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, whole number, decimal and fraction concepts and operations, and number theory. 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
Undergraduate Prerequisites: CAS MA 107 or SED ME 503.
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. Carries MCS divisional credit in CAS.
• CAS MA 113: Elementary Statistics
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
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
Undergraduate Prerequisites: CAS MA 115; or equivalent.
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
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
Undergraduate Prerequisites: CAS MA 121 or CAS MA 123.
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
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
Undergraduate Prerequisites: CAS MA 121 or CAS MA 123.
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 127: Enriched Calculus
Undergraduate Prerequisites: CAS MA 123; or equivalent.
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. Carries MCS divisional credit in CAS.
• CAS MA 129: Honors Calculus
Undergraduate Prerequisites: a solid background in high school calculus or consent of instructor.
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. Carries MCS divisional credit in CAS.
• 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 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 213: Basic Statistics and Probability
Undergraduate Prerequisites: good background in high school algebra.
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
Undergraduate Prerequisites: 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. 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
Undergraduate Prerequisites: CAS MA 124 or CAS MA 127 or CAS 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. (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