Download Nicholson, Kimberly

Nicholson, Kimberly
From:
Sent:
To:
Cc:
Subject:
Below, Scott
Wednesday, January 30, 2013 2:16 PM
Choi, Jungmin
Eakins, Stan
RE: Notification of potential impact on your programs of new course offering Math
4300/6300 Financial and Actuarial Mathematics
Jungmin, Thank you for notifying us about the new course offerings. We have reviewed the information and have no concerns regarding the impact of these courses on any of our programs. We wish you the best in this endeavor. ‐‐Scott Scott D. Below, PhD
Chair and Associate Professor, Department of Finance Bate Building 3419 East Carolina University Greenville, NC 27858 (252) 328‐6670 [email protected] From: Choi, Jungmin
Sent: Tuesday, January 29, 2013 4:06 PM
To: Eakins, Stan; Below, Scott
Subject: Notification of potential impact on your programs of new course offering Math 4300/6300 Financial and
Actuarial Mathematics
To: Stan Eakins and Scott Below From: Jungmin Choi, Department of Mathematics Re: Notification of potential impact on your programs of new course offering MATH 4300/6300 Financial and Actuarial Mathematics Dear Professors Eakins and Below, As advised by the Undergraduate Curriculum Committee and the Graduate Curriculum Committee, the Mathematics Department is writing you to notify you of a proposed new course offering MATH 4300/6300 (Financial and Actuarial Mathematics) designed to prepare students for taking and passing the Society of Actuaries exam FM “Financial Mathematics” and MFE “Models for Financial Economics”, for students with the prerequisite knowledge of Calculus. Since your program has been identified as a potentially impacted program, we are contacting you so that you are aware of the course. We would certainly welcome any eligible and interested students in your programs to register for the course. We anticipate offering MATH 4300/6300 in the near future, upon approval of course by UCC and GCC. The course proposal is attached as an MSWord file, for your information, and the Marked Catalog Copy is reproduced here in the body of this letter, with MATH 4300/6300 in blue. We welcome any comments or response you may have, and we will forward such comments to the UCC and GCC. Best, 1
Jungmin Choi 4100. Mathematics of Risk Analysis (3) (S)
P: MATH 3308. Comprehensive introduction to the single-period mathematical risk theory. Explores
approaches to modeling and measuring risks. Topics include distribution theory with an emphasis on
exponential models, risk measurement and policy modifications. Prepares the student for of the Society
of Actuaries Exam P “Probability”.
4101. Advanced Calculus I (3) (F,S)
P: MATH 2173, 2300; or consent of instructor. May receive credit for one of MATH 4101, 5101.
Axioms of real number system, completeness, sequences, infinite series, power series, continuity,
uniform continuity, differentiation, Riemann integral, and Fundamental Theorem of Calculus.
4110. Elementary Complex Variables (3)
P: MATH 2173. Complex numbers, analytic functions, mapping by elementary functions, integrals,
residues, and poles.
4300. Financial and Actuarial Mathematics (3) (F)
P: Math 2172 or equivalent. A comprehensive introduction of the mathematical interest theory. Topics
include time value of money, annuities, loan repayment, bond, options and financial markets. Prepares
the student for of the Society of Actuaries Exam FM “Financial Mathematics”.
4201. Introduction to Stochastic Processes (3)
P: MATH 3307 or equivalent or consent of instructor. Fundamental theory and models of stochastic
processes. Expectations and independence, sums of independent random variables, Markov chains and
their limiting behavior and applications, Poisson processes, birth and death processes; and Gaussian
processes.
6100. Mathematics of Risk Analysis (3)
P: MATH 2172, 3307, 3308; or consent of instructor. Single-period mathematical risk theory is covered,
including approaches to modeling and measuring (insurance) risks. Topics include (univariate)
distribution theory: exponential dispersion models, elliptical distributions, (a,b,k) class, heavy-tailness;
risk measurement: value-at-risk, expected shortfall, coherency; policy modifications: deductibles,
(co)insurance, limits. Students are prepared to take the Society of Actuaries Exam P “Probability” and
Exam C “Construction and Evaluation of Actuarial Models."
6111, 6112. Introduction to Complex Variables I, II (3,3)
P for 6111: MATH 5102; P for 6112: MATH 6111. I. Analytic functions, mapping of functions,
differentiation and integration, power series, and residues. II. Integral functions, infinite products,
Mittag-Leffler expansion, maximum modulus theorem, convex functions, the Schwarz Christoffel
transformation, analytic continuation, Riemann surfaces, and selected topics in functions of a complex
variable.
6121, 6122. Real Variables I, II (3,3)
P for 6121: MATH 5101 or consent of instructor; P for 6122: MATH 6121 or consent of instructor. I.
Study of functions of one real variable and convergence of sequences and series of functions: functions
of bounded variation, measures, measurable sets, measurable functions, convergence almost
everywhere, absolutely continuous functions, Lebesque integration, differentiation, and the Fundamental
Theorem of the Calculus. II. Lebesque spaces and associated inequalities, measures in Rn, measure
spaces and the associated theory of integration and differentiation; the Radon-Nikodym Theorem with
applications to probability and statistics.
2
6150. Graph Theory (3)
P: MATH 2300 or consent of instructor. Structure of graphs, trees, connectivity, Eulerian and
Hamiltonian graphs, planar graphs, graph colorings, matchings, independence, and domination.
6251, 6252. Advanced Placement Mathematics for Secondary Teachers I, II (3,3)
May count toward certificate renewal or certification in teaching gifted and talented students. May not
count toward MA in mathematics. Intensive study of topics covered in Calculus AB and Calculus BC of
advanced placement mathematics.
6271. Teaching Collegiate Mathematics (2)
P: Consent of instructor. Curricula and methods of teaching mathematics to adults in colleges and
technical schools.
6300. Financial and Actuarial Mathematics (3)
P: Math 2172, 3307, 4100; or consent of instructor. A comprehensive introduction of the mathematical
interest theory. Topics include time value of money, annuities, loan repayment, bond, valuation of
derivative securities (European options, American options, Exotic options), Black-Scholes Model, deltahedging risk management. Prepares the student for of the Society of Actuaries Exam FM “Financial
Mathematics”, and MFE “Models for Financial Economics”.
Jungmin Choi, PhD. Assistant Professor Department of Mathematics East Carolina University (252)328‐5348 3
Nicholson, Kimberly
From:
Sent:
To:
Subject:
Ericson, Richard E.
Tuesday, January 29, 2013 4:10 PM
Choi, Jungmin
RE: Notification of potential impact on your programs of new course offering MATH
4300/6300 Financial and Actuarial Mathematics
Dear Professor Choi, Thank you for the notification. We may indeed have some students interested in such courses. Sincerely, Richard E. Ericson Professor and Chair Department of Economics, Mail Stop 580 Brewster A‐428 Thomas Harriot College of Arts & Sciences East Carolina University Greenville, NC 27858 1‐252‐328‐6750 (phone) 1‐252‐328‐6743 (fax) <[email protected]> From: Choi, Jungmin
Sent: Tuesday, January 29, 2013 4:08 PM
To: Ericson, Richard E.
Subject: Notification of potential impact on your programs of new course offering MATH 4300/6300 Financial and
Actuarial Mathematics
To: Richard Ericson From: Jungmin Choi, Department of Mathematics Re: Notification of potential impact on your programs of new course offering MATH 4300/6300 Financial and Actuarial Mathematics Dear Professor Ericson, As advised by the Undergraduate Curriculum Committee and the Graduate Curriculum Committee, the Mathematics Department is writing you to notify you of a proposed new course offering MATH 4300/6300 (Financial and Actuarial Mathematics) designed to prepare students for taking and passing the Society of Actuaries exam FM “Financial Mathematics” and MFE “Models for Financial Economics”, for students with the prerequisite knowledge of Calculus. Since your program has been identified as a potentially impacted program, we are contacting you so that you are aware of the course. We would certainly welcome any eligible and interested students in your programs to register for the course. We anticipate offering MATH 4300/6300 in the near future, upon approval of course by UCC and GCC. The course proposal is attached as an MSWord file, for your information, and the Marked Catalog Copy is reproduced here in the body of this letter, with MATH 4300/6300 in blue. We welcome any comments or response you may have, and we will forward such comments to the UCC and GCC. 1
Best, Jungmin Choi 4100. Mathematics of Risk Analysis (3) (S)
P: MATH 3308. Comprehensive introduction to the single-period mathematical risk theory. Explores
approaches to modeling and measuring risks. Topics include distribution theory with an emphasis on
exponential models, risk measurement and policy modifications. Prepares the student for of the Society
of Actuaries Exam P “Probability”.
4101. Advanced Calculus I (3) (F,S)
P: MATH 2173, 2300; or consent of instructor. May receive credit for one of MATH 4101, 5101.
Axioms of real number system, completeness, sequences, infinite series, power series, continuity,
uniform continuity, differentiation, Riemann integral, and Fundamental Theorem of Calculus.
4110. Elementary Complex Variables (3)
P: MATH 2173. Complex numbers, analytic functions, mapping by elementary functions, integrals,
residues, and poles.
4300. Financial and Actuarial Mathematics (3) (F)
P: Math 2172 or equivalent. A comprehensive introduction of the mathematical interest theory. Topics
include time value of money, annuities, loan repayment, bond, options and financial markets. Prepares
the student for of the Society of Actuaries Exam FM “Financial Mathematics”.
4201. Introduction to Stochastic Processes (3)
P: MATH 3307 or equivalent or consent of instructor. Fundamental theory and models of stochastic
processes. Expectations and independence, sums of independent random variables, Markov chains and
their limiting behavior and applications, Poisson processes, birth and death processes; and Gaussian
processes.
6100. Mathematics of Risk Analysis (3)
P: MATH 2172, 3307, 3308; or consent of instructor. Single-period mathematical risk theory is covered,
including approaches to modeling and measuring (insurance) risks. Topics include (univariate)
distribution theory: exponential dispersion models, elliptical distributions, (a,b,k) class, heavy-tailness;
risk measurement: value-at-risk, expected shortfall, coherency; policy modifications: deductibles,
(co)insurance, limits. Students are prepared to take the Society of Actuaries Exam P “Probability” and
Exam C “Construction and Evaluation of Actuarial Models."
6111, 6112. Introduction to Complex Variables I, II (3,3)
P for 6111: MATH 5102; P for 6112: MATH 6111. I. Analytic functions, mapping of functions,
differentiation and integration, power series, and residues. II. Integral functions, infinite products,
Mittag-Leffler expansion, maximum modulus theorem, convex functions, the Schwarz Christoffel
transformation, analytic continuation, Riemann surfaces, and selected topics in functions of a complex
variable.
6121, 6122. Real Variables I, II (3,3)
P for 6121: MATH 5101 or consent of instructor; P for 6122: MATH 6121 or consent of instructor. I.
Study of functions of one real variable and convergence of sequences and series of functions: functions
of bounded variation, measures, measurable sets, measurable functions, convergence almost
everywhere, absolutely continuous functions, Lebesque integration, differentiation, and the Fundamental
Theorem of the Calculus. II. Lebesque spaces and associated inequalities, measures in Rn, measure
2
spaces and the associated theory of integration and differentiation; the Radon-Nikodym Theorem with
applications to probability and statistics.
6150. Graph Theory (3)
P: MATH 2300 or consent of instructor. Structure of graphs, trees, connectivity, Eulerian and
Hamiltonian graphs, planar graphs, graph colorings, matchings, independence, and domination.
6251, 6252. Advanced Placement Mathematics for Secondary Teachers I, II (3,3)
May count toward certificate renewal or certification in teaching gifted and talented students. May not
count toward MA in mathematics. Intensive study of topics covered in Calculus AB and Calculus BC of
advanced placement mathematics.
6271. Teaching Collegiate Mathematics (2)
P: Consent of instructor. Curricula and methods of teaching mathematics to adults in colleges and
technical schools.
6300. Financial and Actuarial Mathematics (3)
P: Math 2172, 3307, 4100; or consent of instructor. A comprehensive introduction of the mathematical
interest theory. Topics include time value of money, annuities, loan repayment, bond, valuation of
derivative securities (European options, American options, Exotic options), Black-Scholes Model, deltahedging risk management. Prepares the student for of the Society of Actuaries Exam FM “Financial
Mathematics”, and MFE “Models for Financial Economics”.
Jungmin Choi, PhD. Assistant Professor Department of Mathematics East Carolina University (252)328‐5348 3