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Course Criteria
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1.00 Credits
This course is designed to give students experience and practice with the types of problems encountered on the second examination in the series of Society of Actuaries exams. Prerequisites: MT 3400 and MT 3410.
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4.00 Credits
Fall semester Improper integrals, analytic geometry, polar coordinates, functions of several variables, higher partial derivatives, vector operations and multiple integrals. Prerequisite: A grade of C or better in MT 1810. (MTP)
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3.00 Credits
Fall semester of even-numbered calendar year Basic probability theory, counting techniques, discrete random variables and probability distributions, probability distribution functions, cumulative distribution functions, expected value, conditional probability and independence, Tchebysheff's theorem, statistical inference, confidence intervals, hypothesis testing, regression analysis and applications in physical and social sciences. Prerequisite: MT 1810.
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3.00 Credits
Spring semester of odd-numbered calendar year Continuous random variables and probability distributions, probability density functions, cumulative distribution functions, central limit theorem, moment-generating functions, functions of random variables, sampling distributions, statistical inference, confidence intervals, hypothesis testing, regression analysis and applications in physical and social sciences. Prerequisite: MT 3400.
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3.00 Credits
Spring semester of even-numbered calendar year Numerical solutions to algebraic and differential equations; numerical integration; interpolating polynomials and regression analysis; simultaneous equations and solutions to partial differential equations. Prerequisites: MT 1810.
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3.00 Credits
Spring semester A dynamical systems approach to the study of solutions to differential equations. Some analytical solution techniques are covered, but emphasis is placed on qualitative, geometric and numerical techniques of finding solutions. Modeling is incorporated throughout the course. Prerequisite: MT 1810.
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3.00 Credits
Spring semester of odd-numbered calendar year Determinants and matrices, introduction to functions of a complex variable, Fourier series and integrals, vector analysis, introduction to partial differential equations with applications and calculus of variations. Prerequisite: MT 3700 or instructor approval.
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3.00 Credits
Spring semester A basic introduction emphasizing the development and presentation of sound mathematical arguments. Topics include logic, sets, relations, functions, and proof techniques. Little formal mathematics is needed, but intensive logical thought and an interest in the goal of the course are essential. Prerequisite: A grade of C or better in MT 1810 or instructor approval.
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3.00 Credits
Fall semester Vector spaces, linear transformations, matrices, linear systems, determinants, eigenvalues and eigenvectors. Prerequisite: A grade of C or better in either MT 1810 or MT 1510.
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3.00 Credits
Topology of Euclidean spaces and metric spaces; general topological spaces. Continuous mappings and Homeomorphisms. Separation axioms, connectedness and compactness. Prerequisite: MT 3800.
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