Mathematics & Statistics

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  • CAS MA 107: Mathematical Reasoning in the Elementary Grades: Number Systems
    Mathematical Reasoning in the Elementary Grades: Number Systems Required for undergraduates seeking licensure in elementary education, early childhood education,special education, or deaf studies. Focuses on number systems, whole number, decimal and fraction concepts and operations, and number theory. Non-Wheelock students by signed permission only. Does not satisfy CAS Divisional Studies or Math/Stat major. 4 cr. 1st sem. Effective Fall 2019, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning I, Oral and/or Signed Communication, Teamwork/Collaboration.
    • Quantitative Reasoning I
    • Oral and/or Signed Communication
    • Teamwork/Collaboration
  • 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. 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, Teamwork/Collaboration.
    • Quantitative Reasoning II
    • Oral and/or Signed Communication
    • Teamwork/Collaboration
  • 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 understand the basics of using a sample to predict uncertainty. Carries MCS divisional credit in CAS. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking.
    • Quantitative Reasoning II
    • Critical Thinking
  • 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. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking.
    • Quantitative Reasoning II
    • Critical Thinking
  • CAS MA 116: Statistics II
    Undergraduate Prerequisites: CAS MA 115; or equivalent.
    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. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking.
    • Quantitative Reasoning II
    • Critical Thinking
  • 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. Effective Fall 2018, 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. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning I, Social Inquiry I, Critical Thinking.
    • Social Inquiry I
    • Quantitative Reasoning I
    • Critical Thinking
  • 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. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Social Inquiry II, Critical Thinking.
    • Quantitative Reasoning II
    • Social Inquiry II
    • Critical Thinking
  • 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, 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. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Social Inquiry II, Critical Thinking.
    • Quantitative Reasoning II
    • Social Inquiry II
    • Critical Thinking
  • 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. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking.
    • Quantitative Reasoning II
    • Critical Thinking
  • 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, 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. Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Scientific Inquiry II, Critical Thinking.
    • Scientific Inquiry II
    • Quantitative Reasoning II
    • Critical Thinking
  • 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, 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. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • 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.) Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 213: Basic Statistics and Probability
    Undergraduate Prerequisites: good background in high school algebra.
    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. Effective Fall 2018, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Teamwork/Collaboration. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking, Teamwork/Collaboration.
    • Quantitative Reasoning II
    • Critical Thinking
    • Teamwork/Collaboration
  • CAS MA 214: Applied Statistics
    Undergraduate Prerequisites: CAS MA 213; or consent of instructor.
    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. Effective Fall 2018, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Teamwork/Collaboration. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking, Teamwork/Collaboration.
    • Quantitative Reasoning II
    • Critical Thinking
    • Teamwork/Collaboration
  • CAS MA 225: Multivariate Calculus
    Undergraduate Prerequisites: CAS MA 124 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.) Effective Fall 2018, this course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking.
    • Quantitative Reasoning II
    • Critical Thinking
  • CAS MA 226: Differential Equations
    Undergraduate Prerequisites: CAS MA 225 or CAS 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. (Cannot be taken for credit in addition to CAS MA 231.) Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 230: Honors-Level Vector Calculus
    Undergraduate Prerequisites: CAS MA 124 or CAS MA 129.
    Linear algebra: linear transformations and matrices, inner products, cross products. Differentiation: tangent spaces, directional derivatives, gradients, vector fields and flow, divergence, curl. Integration: multiple integrals, line integrals, Green's theorem, surface integrals, Stokes's theorem, the divergence theorem. (Cannot be taken for credit in addition to CAS MA 225.) Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 231: Honors-Level Differential Equations
    Undergraduate Prerequisites: CAS MA 225 or CAS MA 230.
    Ordinary differential equations with applications to mechanics, biology, and physics. First- and second-order equations, linear and nonlinear systems, Sturm-Louisville problems, vibrating strings, special functions, power series solutions, regular singular points, Laplace transforms, calculus of variations, isoperimetric problems, and Hamilton's principle. (Cannot be taken for credit in addition to CAS MA 226.) Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 242: Linear Algebra
    Undergraduate Corequisites: CAS MA 122 or CAS MA 124 or CAS MA 129.
    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. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking.
    • Quantitative Reasoning II
    • Critical Thinking