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Course Criteria
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3.00 Credits
Spring. Continuation of topics from MATH 403; vector spaces, extensions of fields, finite fields. Prerequisite: C or better in MATH 403 or consent of instructor.
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3.00 Credits
Spring. History of Mathematics through calculus. Prerequisite or corequisite: MATH 332.
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3.00 Credits
Fall, Spring. History of mathematics, direct and indirect proof, induction, mathematical systems, binary operations, finite geometries, non-Euclidean geometry. Open only to middle school education majors. Prerequisites: C or better in MATH 215 and MATH 216, and in either MATH 222 or MATH 322, and in one of MATH 245, MATH 247, or MATH 341, or consent of instructor.
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3.00 Credits
Fall, Spring. Topics from the middle and secondary school mathematics curricula presented from an advanced point of view. Topics include the development of various number systems, the meaning of area, the fundamental theorem of calculus, infinite cardinalities and classical problems of geometry. History of mathematics integrated into course. Prerequisites: C or better in MATH 332 and MATH 339. Corequisite: EDTL 474 or consent of instructor.
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3.00 Credits
Logic; set theory (including informal discussion of infinite sets and cardinals); axiomatic method (including models, consistency, and independence). Prerequisite: C or better in MATH 339 or MATH 403 or consent of instructor.
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3.00 Credits
Spring even years. General theories of interest, annuities, yield rates, amortization schedules and sinking funds, bonds and other securities and additional topics in financial analysis. Prerequisite: C or better in MATH 232 or consent of instructor.
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3.00 Credits
Fall. Brief introduction to annuities certain; survival distributions and life tables, life insurance, life annuities, net premiums, net premium reserves. Intended to prepare students for actuarial examinations. Prerequisite: C or better in MATH 441.
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3.00 Credits
Spring. Multiple life functions; multiple decrement models; valuation theory for pension plans; insurance models including expenses, nonforfeiture benefits and dividends. Prerequisite: C or better in MATH 426.
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3.00 Credits
Spring. Matrices and vector spaces, eigenvalues, orthogonal matrices, positive definite matrices, quadratic forms. Applications to differential equations, Markov chains, least squares. Prerequisite: C or better in MATH 332 or consent of instructor.
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3.00 Credits
Fall of even years. Advanced topics from the differential and integral calculus of functions of several variables including: curvilinear coordinates, Jacobian matrices, Lagrange multipliers, gradient fields, divergence and curl of a vector field. Prerequisites: C or higher in MATH 233 or MATH 235, and C or higher in MATH 332, or consent of instructor.
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