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The listing of a course description here does not guarantee a course’s being offered in a particular term. Please refer to the published schedule of classes on the MyBU Student Portal for confirmation a class is actually being taught and for specific course meeting dates and times.

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  • CAS MA 124: Calculus II
    Undergraduate Prerequisites: (CASMA121 OR CASMA123) - 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.
    • Critical Thinking
    • Quantitative Reasoning II
    • Scientific Inquiry II
  • 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.
    • Critical Thinking
    • Quantitative Reasoning II
    • Teamwork/Collaboration
  • CAS MA 214: Applied Statistics
    Undergraduate Prerequisites: CASMA 213 or CASMA 115 or CASMA 113 or CDSDS 120 or CASCS 237 or consent of instructor. - Students may receive credit for not more than one of the following courses: CASMA 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. 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.
    • Critical Thinking
    • Quantitative Reasoning II
    • Teamwork/Collaboration
  • CAS MA 225: Multivariate Calculus
    Undergraduate Prerequisites: (CASMA124 OR CASMA129) - 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.
    • Critical Thinking
    • Quantitative Reasoning II
  • CAS MA 226: Differential Equations
    Undergraduate Prerequisites: (CASMA225 OR CASMA230) - 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: (CASMA124 OR CASMA129) - 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: (CASMA225 OR CASMA230) - 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 Prerequisites CASMA 121 or CASMA 123 or CASMA 129 or consent of instructor. - 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.
    • Critical Thinking
    • Quantitative Reasoning II
  • CAS MA 293: Discrete Mathematics
    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.
    • Critical Thinking
  • CAS MA 294: Applied Abstract Algebra
    Undergraduate Prerequisites: (CASMA293) 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 MA 541 or MA 542 may not subsequently receive credit for MA 294. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 301: Writing in Mathematics
    Undergraduate Prerequisites: First Year Writing Seminar (WR120). - Prerequisite for this course: First Year Writing Seminar (WR120). Writing in mathematics is distinctive for at least two reasons: i) in addition to written language, mathematical writing involves numbers, symbols, and images; and ii) mathematicians write not only to communicate their work, but more perhaps importantly to clarify and refine their own thinking. In this class, we explore how writing is used to both communicate and facilitate mathematics by participating in the process of writing across a range of discipline-specific genres, including proof writing and expository writing, for pure or applied math majors who have not yet taken a course involving proof writing, but who intend to do so in the future. Students who do not meet these criteria may only take the course with instructor permission. Effective Spring 2023, this course fulfills a single unit in each of the following BU Hub areas: Writing-Intensive Course.
    • Writing-Intensive Course
  • CAS MA 341: Introduction to Number Theory
    Undergraduate Prerequisites: (CASMA242) 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.
    • Critical Thinking
  • CAS MA 401: Senior Independent Work
    Undergraduate Prerequisites: approval by the Director of Undergraduate Studies. - This course is the first in a two-semester sequence during which the student conducts a substantial research project under the supervision of a faculty advisor. Effective Fall 2023, this course fulfills a single unit in the following BU HUB areas: Research and Information Literacy.
    • Research and Information Literacy
  • CAS MA 402: Senior Independent Work
    Undergraduate Prerequisites: approval by the Director of Undergraduate Studies. - This course is the second in a two-semester sequence during which the student conducts a substantial research project under the supervision of a faculty advisor. Effective Spring 2024, this course fulfills a single unit in the following BU HUB area: Oral and/or Signed Communication.
    • Oral and/or Signed Communication
  • CAS MA 411: Advanced Calculus
    Undergraduate Prerequisites: ( (CASMA225 OR CASMA230) & (CASMA242 OR CASMA442)) - 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, Fourier series and transform.
  • CAS MA 412: Complex Variables
    Undergraduate Prerequisites: (CASMA225 OR CASMA230) - 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.
  • CAS MA 415: Data Science in R
    Undergraduate Prerequisites: (CASCS 111 or CDSDS 110 or ENGEK 125) AND (CASMA 113 or CASMA 115 or CASMA 116 or CASMA 213 or CASMA 214 or CASMA 582) or consent of instructor. - Introduction to R, the computer language written by and for statisticians. Emphasis on data exploration, statistical analysis, problem solving, reproducibility, and multimedia delivery. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 416: Analysis of Variance
    Undergraduate Prerequisites: CASMA 116 or CASMA 214 or consent of instructor. - Fundamental concepts and analytical skills in analysis of variance, including crossed and nested designs, as well as fixed- and random- effect models. Trend analysis for repeated measures, expected mean squares, and non-parametric techniques. SAS is used throughout the course. Effective Fall 2020, this course fulfills a single unit in the following BU Hub area: Critical Thinking.
    • Critical Thinking
  • CAS MA 433: Graph Theory
    Undergraduate Prerequisites: (CASMA242 & CASMA293) or consent of instructor. - Graph Theory can be used to generalize the concept of what it means for geometric objects to be connected and describe complex systems. Using vertices to represent objects and edges to represent which objects are adjacent to each other, students will be able to analyze the system as a whole. Students can study which geometrical objects can be placed on a plane, sphere, torus, etc. as well as generalize the concept of connected to more abstract settings. Students will explore these geometric aspects as well as analyze various algorithms and open problems in Graph Theory.

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