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Course Criteria
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3.00 Credits
An introduction to the historical development of, mathematics from ancient times to the twentieth, century. Topics highlighted include formulation, of number systems in various cultures,, standardization of mathematical notation, and, progress made in fields of algebra, geometry,, trigonometry, calculus, probability and number, theory. Designed for students seeking teacher, certification, this course emphasizes the, application of mathematics history to the, classroom.
Prerequisite:
MA-122
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3.00 Credits
A calculus-based course in probability. Topics, include sample spaces, random variables, descrete, and continuous distributions, conditional, probability, Bayes' Theorem, expectation and, variance, moment generating functions, joint, probability distribution functions, and, applications of these concepts.
Prerequisite:
MA-122
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3.00 Credits
A calculus-based course in statistics. Both the, methods and the theory of the following topics, are covered: sampling, estimation, confidence, intervals, hypothesis testing, correlation, and, regression.
Prerequisite:
MA-301
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3.00 Credits
An intensive review for the Society of Actuaries, Exam P/Casualty Actuarial Society Exam 1. , Actuarial foundations from calculus-based, probability theory are covered with emphasis on, application to risk management and insurance., Course fee.
Prerequisite:
MA-301
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3.00 Credits
An introduction to the topics found on the Society, of Actuaries Exam FM/Casualty Actuarial Society, Exam 2. Fundamental concepts of financial, mathematics will be explored. Topics include time, value of money, annuities, loans, bonds, cash, flows and portfolios, immunization, interest rate, swaps, and determinants of interest rates. Course, Fee.
Prerequisite:
MA-122
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3.00 Credits
An introduction to linear algebra. Topics include, solution of linear systems, vector spaces, linear, independence, basis and dimension, matrix algebra,, determinants, eigenvalues and eigenvectors,, diagonalization, and applications.
Prerequisite:
MA-122
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3.00 Credits
The examination of the Euclidian postulates and, the axioms of Hilbert, non-Euclidian geometries,, the influence of geometry on physics and, philosophy, and the use of computers in the study, of geometrical concepts.
Prerequisite:
MA-224 & MA-231
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3.00 Credits
Topics include linear and nonlinear equations,, interpolation and approximation, numerical, integration, curve fitting, simultaneous, equations, and the analysis of errors.
Prerequisite:
MA-122
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3.00 Credits
An introduction to the study of complex , variables. Topics include the properties of , complex numbers, analytic functions, Cauchy's , Theorem, Cauchy's Integral Formula, Taylor and , Laurent series representations of analytic , functions, residue theory, and conformal , mappings.
Prerequisite:
MA-224 or permission of instructor
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3.00 Credits
A study of the theory of numbers. Topics include , the properties of the integers, divisibility, , primality and factorization, congruences, Chinese , remainder theorem, multiplicative functions, , quadratic residues and quadratic reciprocity.
Prerequisite:
MA-224 or MA-231 or permission of instructor
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