Mathematics and Statistics

Note: Course details for Summer 2019 will be available on December 15. The courses below were offered in Summer 2018 and can serve as a guide to what is typically offered.

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 in social sciences. Primarily for students in the social sciences who require a one-semester introduction to statistics; others should consider CAS MA 115 or MA 213. 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. Carries MCS divisional credit in CAS. 4 cr.

Top

Statistics II

CAS MA 116

Prereq: (CAS MA 115) or equivalent. One- or two-sample inference for normal means and binomial probabilities, analysis of variance, simple linear regression, multiple regression, analysis of categorical data. Introduction to survey design and design of experiments. Primarily for students in the social sciences with limited mathematics preparation. 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. Carries MCS divisional credit in CAS. 4 cr.

Top

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 application. Especially suitable for students concentrating in the biological and social sciences. Students may receive credit for either CAS MA 121 or 123, but not both. Carries MCS divisional credit in CAS. 4 cr.

Top

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, MA 124, MA 127, or MA 129. Carries MCS divisional credit in CAS. 4 cr.

Top

Calculus I

CAS MA 123

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. Students may receive credit for either CAS MA 121 or 123, but not both. Carries MCS divisional credit in CAS. 4 cr.

Top

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, MA 124, MA 127, or MA 129. Carries MCS divisional credit in CAS. 4 cr.

Top

Multivariate Calculus

CAS MA 225

Prereq: (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.) 4 cr.

Top

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. 4 cr.

Top

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 142, MA 442, or ENG EK 102. 4 cr.

Top