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metropolitan college academic
courses undergraduate
courses
mathematics
| Mathematics Undergraduate Courses |
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| MET
MA 100 Elementary Algebra |
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Introduction to algebraic concepts necessary for further study
of mathematics. Linear equations and inequalities, graphing linear
systems, exponents and polynomials, factoring, rational expressions,
roots and radicals, and quadratic equations. Does not give College
of Arts and Sciences credit. (4 cr.)
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| MET
MA 113 Elementary Statistics |
| Prereq: MET MA 100
or equivalent. 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:
MET MA 113, MA 213, or CAS MA 113, MA 115, or MA 213. 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. (4 cr.)
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| CAS
MA 118 College Algebra and Trigonometry |
| MA 118 may not be
taken for credit by any student who has completed any MA course
numbered 121 or higher. 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 distribution requirement. Satisfies the mathematics requirement
in the College program. (4 cr.)
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| MET
MA 120 Applied Mathematics for Social and Management Sciences |
| MA 120 may not be
taken for credit by any student who has completed any MA course
numbered 124 or higher. 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 both mathematics
requirement and divisional studies requirement. (4 cr.)
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CAS
MA 121 Calculus for the Life and Social Sciences I |
| Students may receive
credit for either MET MA 121 or MA 123 or CAS MA 121 or MA 123,
but not both. Differentiation and integration of functions of
one variable. Same topics as MA 123, but with less emphasis on
mathematical generality and more on application. Especially suitable
for students concentrating in the biological and social sciences.
( 4 cr.)
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CAS
MA 122 Calculus for the Life and Social Sciences II |
| Students may receive
credit for not more than one of the following courses: MET MA
122 or MA 124 or CAS MA 122, MA 124, MA 127, or MA 129. Prereq:
MA 121 or MA 123. Continuation of 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. (4 cr.)
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| MET
MA 123 Calculus I |
| Students may receive
credit for either MET MA 121 or MA 123 or CAS MA 121 or MA 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. (4 cr.)
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MA 124 Calculus II |
| Prereq: MET MA 121
or MA 123 or CAS MA 121 or MA 123. Students may receive credit
for not more than one of the following courses: 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.
(4 cr.)
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MA 213 Basic Statistics and Probability |
| Prereq: Solid background in high school algebra. Students may receive credit for not more than one
of the following courses: MET MA 113, MA 213, 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. (4 cr.)
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MA 214 Applied Statistics |
| Prereq: MET MA 213
or CAS MA 213. Students may receive credit for not more than
one of the following courses: MET MA 214, 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. (4 cr.)
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| MET
MA 225 Multivariate Calculus |
| Prereq: MET MA 124,
or CAS MA 124, MA 127, or MA 129.
Vectors, lines, and planes. Multiple integration and cylindrical
and spherical coordinates. Partial derivatives, directional derivatives,
scalar and vector fields, the gradient, potentials, approximation,
and multivariate minimization. (4 cr.)
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| MET
MA 226 Differential Equations |
| Prereq: MET MA 225
or 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.)
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| CAS
MA 242 Linear Algebra |
| Coreq: MET MA 122 or 124
or CAS 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 to differential and difference
equation problems. (Cannot be taken for credit in addition to
CAS MA 142, MA 442, or ENG EK 102.) (4 cr.)
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