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MATH 521: Foundations of Mathematics
3.00 Credits
Bowling Green State University-Main Campus
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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MATH 521 - Foundations of Mathematics
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MATH 525: Theory of Interest
3.00 Credits
Bowling Green State University-Main Campus
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: MATH 232 or consent of instructor.
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MATH 525 - Theory of Interest
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MATH 526: Actuarial Mathematics I
3.00 Credits
Bowling Green State University-Main Campus
Fall. Survival distributions and life tables, life insurance, life annuities, net premiums. Intended to prepare students for actuarial examinations. Prerequisite: MATH 541.
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MATH 526 - Actuarial Mathematics I
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MATH 527: Actuarial Mathematics II
3.00 Credits
Bowling Green State University-Main Campus
Spring. Multiple life functions; multiple decrement models; valuation theory of pension plans; insurance models including expenses, nonforfeiture benefits, and dividends. Prerequisite: MATH 526.
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MATH 527 - Actuarial Mathematics II
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MATH 532: Linear Algebra with Applications
3.00 Credits
Bowling Green State University-Main Campus
Matrices and vector spaces, eigenvalues, orthogonal matrices, positive definite matrices, quadratic forms. Possible applications: differential equations, Markov chains, least squares. Prerequisite: MATH 332 or consent of instructor.
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MATH 532 - Linear Algebra with Applications
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MATH 534: Advanced Calculus
3.00 Credits
Bowling Green State University-Main Campus
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 better in MATH 233 and MATH 332 or consent of instructor.
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MATH 534 - Advanced Calculus
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MATH 537: Qualitative Theory of Differential Equations
3.00 Credits
Bowling Green State University-Main Campus
Existence theorems for linear and nonlinear equations, systems of first order linear equations, nonlinear equations and stability, applications. Prerequisite: MATH 337.
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MATH 537 - Qualitative Theory of Differential Equations
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MATH 539: Boundary Value Problems of Differential Equations
3.00 Credits
Bowling Green State University-Main Campus
Boundary value problems, Sturm-Liouville theory, singular boundary conditions, Fourier series, partial differential equations of mathematical physics, e.g., heat, wave, and Laplace's equation in one and several dimensions. Applications. Prerequisite: C or better in MATH 337.
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MATH 539 - Boundary Value Problems of Differential Equations
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MATH 541: Probability and Statistics I
3.00 Credits
Bowling Green State University-Main Campus
Fall, Summer. Axiomatic probability; conditional probability; random variables/vectors; distribution functions; expectations; moment-generating functions; special distributions; functions of random variable/vectors; random sampling and sampling distributions; central limit theorem; weak law of large numbers. Prerequisite or corequisite: MATH 233.
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MATH 541 - Probability and Statistics I
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MATH 542: Probability and Statistics II
3.00 Credits
Bowling Green State University-Main Campus
Spring. Statistical models; point estimation; interval estimation; testing statistical hypotheses; analysis of discrete data; nonparametric methods. Prerequisite: MATH 541.
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MATH 542 - Probability and Statistics II
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