Mathematics and Statistics
The courses on this page reflect 2008 offerings.
Visit this page on December 15 to view course descriptions and schedules for the 2009 General Honors Program. |
CAS MA 113 Elementary Statistics
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. Meets MCS divisional studies requirement.
4 cr.
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CAS MA 116 Statistics II
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.
Meets MCS divisional studies requirement. 4 cr.
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CAS MA 118 College Algebra and Trigonometry
Functions and graphs. Linear and quadratic equations. Exponents;
logarithms. Right and oblique triangles; trigonometric functions.
Optimization. Specifically intended to prepare students with insufficient
background in mathematics for the study of calculus. This course
may not be used in fulfillment of the divisional studies requirement.
Satisfies the mathematics requirement in the College program. 4
cr.
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CAS MA 120 Applied Mathematics for Social and Management
Sciences
Linear equations, systems of linear equations, matrix algebra, exponential
functions and logarithms, elements of differential calculus, optimization,
probability. Applications in economics, finance, and management.
Satisfies mathematics requirement and meets MCS divisional studies
requirement.. 4 cr.
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CAS MA 121 Calculus for Life and Social Sciences I
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. Meets MCS divisional studies
requirement. 4 cr.
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CAS MA 122 Calculus for Life and Social Sciences II
Prereq: CAS MA 121 or 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. Meets MCS divisional studies requirement.
4 cr.
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CAS MA 123 Calculus I
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.
Meets MCS divisional studies requirement. 4 cr.
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CAS MA 124 Calculus II
Prereq: CAS MA 121 or 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.
Meets MCS divisional studies requirement. 4 cr.
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CAS MA 214 Applied Statistics
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. Meets MCS divisional studies requirement. 4 cr.
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CAS MA 225 Multivariate Calculus
Prereq: CAS MA 124 or MA 127 or 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.
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CAS MA 226 Differential Equations
Prereq: CAS MA 225 or 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.
CAS MA 242 Linear Algebra
Coreq: CAS MA 122 or MA 124 or MA 127 or MA 129. 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.
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