Mathematics and Statistics

College of Arts & Sciences

  • Elementary Statistics

    CAS MA 113

    Basic concepts of estimation and tests of hypotheses, ideas from probability; one-, two-, and multiple-sample problems. Applications are in the social sciences, and students will be able to understand the basics of using a sample to predict uncertainty. CAS MA 113 may not be taken for credit by any student who has completed any CAS MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 113, CAS MA 115, or CAS MA 213. Carries MCS divisional credit in CAS. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 1 seven-week course (May 14-June 28)

    Summer 2 (July 1-August 8)

    Summer 1 Section A1 and Summer 2 Sections B1 & B2: As a special provision of these BU Hub courses, BU financial aid may be available to BU need-based scholarship recipients for up to one course in summer 2024. For more information, please contact BU Financial Assistance at 617-353-2965 or finaid@bu.edu.
    Summer 1 Section O1: As a special provision of this summer online BU Hub course, BU financial aid may be available to BU need-based scholarship recipients for up to one course in summer 2024. For more information, please contact BU Financial Assistance at 617-353-2965 or finaid@bu.edu.
    For information about technology requirements for online courses at Boston University, see bu.edu/online/online-learning/technology. BU Virtual can be reached at buvirtual@bu.edu or 617-358-1960 for additional information.

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  • Statistics I

    CAS MA 115

    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 115 may not be taken for credit by any student who has completed any CAS MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 113, CAS MA 115, or CAS MA 213. Carries MCS divisional credit in CAS. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Statistics II

    CAS MA 116

    Prereq: (CAS MA 115) or equivalent. 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. CAS MA 116 may not be taken for credit by any student who has completed any CAS MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 116, CAS MA 214, or CAS MA 614. Carries MCS divisional credit in CAS. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Applied Mathematics for Personal Finance

    CAS MA 119

    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 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. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

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  • Calculus for the Life and Social Sciences I

    CAS MA 121

    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. Students may receive credit for not more than one of the following courses: CAS MA 121 or CAS MA 123. Carries MCS divisional credit in CAS. 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. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

    Summer 2 seven-week course (July 1-August 16)

    Summer 1 Sections A1 & A2 and Summer 2 Section B1: As a special provision of these BU Hub courses, BU financial aid may be available to BU need-based scholarship recipients for up to one course in summer 2024. For more information, please contact BU Financial Assistance at 617-353-2965 or finaid@bu.edu.
    Summer 2 Section O2: As a special provision of this summer online BU Hub course, BU financial aid may be available to BU need-based scholarship recipients for up to one course in summer 2024. For more information, please contact BU Financial Assistance at 617-353-2965 or finaid@bu.edu.
    For information about technology requirements for online courses at Boston University, see bu.edu/online/online-learning/technology. BU Virtual can be reached at buvirtual@bu.edu or 617-358-1960 for additional information.

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  • Calculus for the Life and Social Sciences II

    CAS MA 122

    Prereq: (CAS MA 121 or CAS MA 123). 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. Students may receive credit for not more than one of the following courses: CAS MA 122, CAS MA 124, or CAS MA 129. Carries MCS divisional credit in CAS. 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. 4 cr. Tuition: $3180

    Summer 2 (July 1-August 8)

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  • Calculus I

    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. Students may receive credit for not more than one of the following courses: CAS MA 121 or CAS MA 123. Carries MCS divisional credit in CAS. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Calculus II

    CAS MA 124

    Prereq: (CAS MA 121 or CAS MA 123). 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. Students may receive credit for not more than one of the following courses: CAS MA 122, CAS MA 124, or CAS MA 129. Carries MCS divisional credit in CAS. 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. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Basic Statistics and Probability

    CAS MA 213

    Prereq: 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 learn to answer questions such as how can a pollster use a sample to predict the uncertainty of an election? Students may receive credit for not more than one of the following courses: CAS MA 113, CAS MA 115, or CAS MA 213. Carries MCS divisional credit in CAS. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking, Teamwork/Collaboration. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Applied Statistics

    CAS MA 214

    Prereq: (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. Students may receive credit for not more than one of the following courses: CAS MA 116, CAS MA 214, or CAS MA 614. Carries MCS divisional credit in CAS. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking, Teamwork/Collaboration. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Multivariate Calculus

    CAS MA 225

    Prereq: (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 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Differential Equations

    CAS MA 226

    Prereq: (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. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Linear Algebra

    CAS MA 242

    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. Cannot be taken for credit in addition to CAS MA 442 or ENG EK 103. Effective Fall 2020, this course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Discrete Mathematics

    CAS MA 293

    Propositional logic, set theory. Elementary probability theory. Number theory. Combinatorics with applications. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Applied Abstract Algebra

    CAS MA 294

    Prereq: (CAS MA 293) or consent of instructor. Abstract algebra and its applications to combinatorics. A first exposure to groups, rings, and fields via significant combinatorial applications. Students who have already received credit for CAS MA 541 or CAS MA 542 may not subsequently receive credit for CAS MA 294. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking. 4 cr. Tuition: $3180

    Summer 2 (July 1-August 8)

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  • Introduction to Number Theory

    CAS MA 341

    Prereq: (CAS MA 242) or consent of instructor. Study of integers and basic results of number theory. Topics include Linear Diophantine equations, prime numbers and factorization, congruences, and quadratic reciprocity. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

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  • Advanced Calculus

    CAS MA 411

    Prereq: (CAS MA 225 or CAS MA 230) and (CAS MA 242 or CAS MA 442). Extends concepts and techniques of calculus and develops further applications. Topics include higher dimensional calculus, applications of vector analysis, uniform convergence of series, complex series, improper integrals, gamma and beta functions, Stirling's formula, and Fourier series and transform. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

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  • Complex Variables

    CAS MA 412

    Prereq: (CAS MA 225 or CAS MA 230). Basic concepts, results, and applications of complex analysis. Emphasis on computation and applications. Complex plane and functions, differentiability, Cauchy-Riemann conditions, contour integrals, Cauchy formulas, complex series, residue calculus, applications. Extends the concepts of the calculus to the complex setting. 4 cr. Tuition: $3180

    Summer 2 (July 1-August 8)

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  • Introduction to Analysis I

    CAS MA 511

    Prereq: (CAS MA 225 or CAS MA 230). Fundamental concepts of mathematical reasoning. Properties of the real-number system, elementary point-set theory, metric spaces. Limits, sequences, series, convergence, uniform convergence, continuity. Differentiability for functions of a single variable, Riemann-Stieltjes integration. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

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  • Optimization Methods of Operations Research

    CAS MA 569

    Prereq: (CAS MA 225 or CAS MA 230) and (CAS MA 242 or CAS MA 442). Optimization of linear functions: linear programming, simplex method; transportation, assignment, and network problems. Optimization of non-linear functions: unconstrained optima, constrained optima, and Lagrange multipliers, Kuhn-Tucker conditions, calculus of variations, and Euler's equation. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

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  • Probability

    CAS MA 581

    Prereq: (CAS MA 225 or CAS MA 230) or consent of instructor. 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. Cannot be taken for credit in addition to CAS MA 381. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Mathematical Statistics

    CAS MA 582

    Prereq: (CAS MA 581). Point estimation including unbiasedness, efficiency, consistency, sufficiency, minimum variance unbiased estimator, Rao-Blackwell theorem, and Rao-Cramer inequality. Maximum likelihood and method of moment estimations; interval estimation; tests of hypothesis, uniformly most powerful tests, uniformly most powerful unbiased tests, likelihood ratio test, and chi-square test. 4 cr. Tuition: $3180

    Summer 1 (May 21-June 27)

    Summer 2 (July 1-August 8)

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  • Introduction to Stochastic Processes

    CAS MA 583

    Prereq: (CAS MA 581) or consent of instructor. Basic concepts and techniques of stochastic process as they are most often used to construct models for a variety of problems of practical interest. Topics include Markov chains, Poisson process, birth and death processes, queuing theory, renewal processes, and reliability. 4 cr. Tuition: $3180

    Summer 2 (July 1-August 8)

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Metropolitan College

  • Pension Mathematics and Mortality Tables

    MET AT 782

    Prereq: (MET MA 581 or CAS MA 581) and (MET AT 721). Covers the mathematics of actuarial funding methods as used by pension actuaries. General pension concepts are introduced, and the calculation of benefits under pension plans is discussed. Reviews the development of mortality tables and the use of life contingencies in developing pension models. Computations under actuarial funding methods are addressed, including the use of these methods in pension plans worldwide. The use of mortality tables is addressed, as are modifications to those tables to reflect expected changes to mortality in the future. Alternative ways to receive pension payments at retirement are discussed. 4 cr. Tuition: $3820

    Summer 1 (May 20-June 26)

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  • Discrete Mathematics

    MET CS 248

    Fundamentals of logic (the laws of logic, rules of inferences, quantifiers, proofs of theorems). Fundamental principles of counting (permutations, combinations), set theory, relations and functions, graphs, trees and sorting. 4 cr. Tuition: $3180

    Summer 1 (May 22-June 26)

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