Courses

• 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.
• CAS MA 123: Calculus I
  Students may receive credit for either CAS MA 121 or 123, but not both. Limits; derivatives; differentiation of algebraic functions. Applications to maxima, minima, and convexity of functions. The definite integral; the fundamental theorem of integral calculus; applications of integration. Carries MCS divisional credit in CAS.
• 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.
• CAS MA 127: Enriched Calculus
  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
  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 142: Introduction to Linear Algebra
  Systems of linear equations; matrices. Vector spaces and linear transformations. Determinants. Eigenvalues and eigenvectors. Applications. Cannot be taken for credit in addition to CAS MA 242, MA 442, or ENG EK 102.
• CAS MA 148: Investigations in Number Theory
  An immersion experience in mathematical thinking and mathematical habits of mind. Students investigate topics in number theory, starting from elementary notions of primes and divisibility and culminating in examples of number rings in which unique factorization does not hold.
• 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.
• 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 196: Introductory Quantitative Biology
  An introduction to the application of mathematics to problems in biology, with particular emphasis on questions arising from ecology, physiology, neuroscience, and genetics. Major focus on building mathematical models for biological problems and analysis with graphical and mathematical techniques. Also offered as CAS BI 196.
• 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 binomial distribution, the central limit theorem. Stresses understanding and theoretical manipulation of statistical concepts. Carries MCS divisional credit in CAS.
• 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.
• 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 threorems. (Cannot be taken for credit in addition to CAS MA 230.)
• CAS MA 226: Differential Equations
  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.)
• CAS MA 230: Honors-Level Vector Calculus
  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.)
• CAS MA 231: Honors-Level Differential Equations
  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.)
• CAS MA 242: Linear Algebra
  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 142, MA 442, or ENG EK 102.)
• CAS MA 293: Discrete Mathematics
  Propositional logic, set theory. Elementary probability theory. Number theory. Combinatorics with applications.
• CAS MA 294: Applied Abstract Algebra
  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.
• CAS MA 341: Introduction to Number Theory
  Study of integers and basic results of number theory. Topics include Linear Diophantine equations, prime numbers and factorization, congruences, and quadratic reciprocity.

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