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MA 110: Finite Mathematics: MOT/Mathematics
3.00 Credits
DeSales University
An introduction to mathematical concepts and, techniques useful in business and the social, sciences. Topics include linear functions, matrix, algebra, systems of linear equations, linear, programming, and mathematics of finance. , Applications and elementary mathematical modeling, will be stressed.
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MA 110 - Finite Mathematics: MOT/Mathematics
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MA 111: Probability and Statistics:, MOT/Mathematics
3.00 Credits
DeSales University
Emphasizes quantitative methods for decision, making. Topics discussed include the nature, of probability and statistics, frequency, distributions and graphs, organization and, analysis of data, elementary probability theory, and techniques,, discrete probability distributions, the normal, distribution, confidence intervals, correlation, and regression, and hypothesis testing.
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MA 111 - Probability and Statistics:, MOT/Mathematics
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MA 112: Precalculus Mathematics:, MOT/Mathematics
3.00 Credits
DeSales University
Provides the background necessary to study, calculus. Topics include relations, functions and, graphs, exponential and logarithmic functions,, trigonometric functions and identities, inverse, trigonometric functions, and applications.
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MA 112 - Precalculus Mathematics:, MOT/Mathematics
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MA 121: Calculus I: MOT/Mathematics
3.00 Credits
DeSales University
An introduction to differential calculus. Topics, include limits and continuity; differentiation, of elementary functions; product, quotient and, chain rules; local linear approximations;, implicit differentiation; related rates; extrema;, concavity; curve sketching; mathematical, modeling; antiderivates; applications.
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MA 121 - Calculus I: MOT/Mathematics
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MA 122: Calculus II
3.00 Credits
DeSales University
An introduction to integral calculus. Topics, include Riemann sums; methods of indefinite and, definite integration including substitution,, parts, trigonometric substitution and partial, fractions; the Fundamental Theorem; improper, integrals; separable differential equations., Applications include area; volume; average value;, growth and decay and probability.
Prerequisite:
MA-121
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MA 122 - Calculus II
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MA 222: Statistical Analysis Using R
3.00 Credits
DeSales University
An applied introduction to statistics and, statistical computing. Fundamental concepts in, descriptive and inferential statistics will be, taught and will include measures of central, tendency, variability and position; confidence, intervals and hypothesis testing; ANOVA;, regression and correlation. Use of the statistical, software package R for computation and, visualization will be introduced and used, extensively throughout the course Course fee.
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MA 222 - Statistical Analysis Using R
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MA 223: Calculus III
3.00 Credits
DeSales University
A continuation of the calculus sequence. Topics, include parametric equations and polar, coordinates including area and length; infinite, sequences and series; vectors and the geometry of, space; vector functions in two and three, dimensions; aplications of these topics.
Prerequisite:
MA-122
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MA 223 - Calculus III
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MA 224: Calculus IV
3.00 Credits
DeSales University
The conclusion of the calculus sequence. Topics, include partial derivatives; multiple integrals, including triple integrals in the cylindrical and, spherical coordinate systems; vector calculus, including vector fields, line integrals and, Green's Theorem; the application of these topics., The course concludes with an introduction to, direct, indirect, vacuous, trivial, contradiction, and induction proofs.
Prerequisite:
MA-223
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MA 224 - Calculus IV
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MA 231: Discrete Mathematics
3.00 Credits
DeSales University
Selected topics from mathematical logic,, induction, relations and functions, basic, combinatorics, discrete probability, graph theory,, and recursion. An emphasis will be given to an, introduction to proof-writing.
Prerequisite:
MA-122
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MA 231 - Discrete Mathematics
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MA 243: Differential Equations
3.00 Credits
DeSales University
An introduction to techniques of modeling and, solution of ordinary differential equations. , Topics include complex numbers and exponentials,, first-order separable and exact differential, equations, linear differential equations, linear, independence and the Wronskian, general and, particular solutions, Laplace transforms, and, numerical methods.
Prerequisite:
MA-122
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MA 243 - Differential Equations
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