|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
3.00 Credits
This course is a continuation of Math. 215. It begins with a brief review of topics from the earlier course. The course then develops more deeply the theory of linear transformations on vector spaces and examines its applications. Topics include inner product spaces, orthogonality, eigenvalues and eigenvectors, and diagonizable linear operators. (Prerequisite: Math. 215.) Spring, odd years.
-
3.00 Credits
This course includes an introduction to insurance and risk management, an introduction to the actuarial profession, actuarial applications of calculus and probability, and preparation for the Society of Actuaries Exam P. (Prerequisites: Math. 216 and 314.) Spring, even years.
-
3.00 Credits
This course uses the basic probability theory of Math 314 to open up the field of stochastic processes, which are processes whose future behavior is dependent on the past and present. The course starts with a brief review of basic probability, moves to the Poisson process and Markov chains in discrete and continuous time, queuing theory, and continues with a non measure-theoretic introduction to martingale theory, stopping times, and stochastic integration. This course is useful to those interested in mathematical finance and operations research. (Prerequisite: Math. 314.) Spring, odd years.
-
3.00 Credits
This course develops a practical knowledge of the theory of interest in both finite and continuous time. This knowledge includes how these concepts are used in the various annuity functions and how to apply the concepts of present and accumulated value for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, duration, asset/liability management, investment income, capital budgeting, and contingencies. (Prerequisite: Math. 118.) Fall, even years.
-
3.00 Credits
This course provides a rigorous critical study of calculus of one real variable. Topics include the real number system and its properties, the theory of sequences, limits of functions, continuity, derivatives, integrals, and infinite series. Mathematical writing and the mathematical proof will be emphasized. (Prerequisites: Math. 118 and 231.) Fall, odd years.
-
3.00 Credits
A numerical method is used to solve a problem approximately when an exact solution cannot be found. The following topics will be covered: properties of a floating point number system and IEEE754; types of errors; stability and conditioning; solution of equations in one variable; interpolation and polynomial approximation; numerical differentiation and integration; numerical solution of ordinary differential equations; and direct methods for solving linear systems. (Prerequisite: Math. 118.) Fall, even years.
-
3.00 Credits
In this course we consider familiar concepts encountered in calculus in the new setting of functions of a complex variable. Topics covered include: the arithmetic, algebra, and geometry of the complex number system and complex plane; elementary functions of a complex variable; the derivative (analyticity and harmonicity); the integral (line and contour integrals); the topological aspects of the plane needed to develop the theory of differentiability and integrability (including Cauchy's Theorem, Cauchy's Integral Formula, and the Maximum Modulus Theorem); and series representations for functions. (Prerequisite: Math 216.) Fall, even years.
-
3.00 Credits
Selected topics in mathematics, intended to draw together and unify the various subject areas of the mathematics program. Emphasis given to research, written and oral reports. (Prerequisite: permission of instructor.) As required.
-
1.00 - 3.00 Credits
Guided reading or research in an area of special interest under the direction of a faculty member. As required.
-
3.00 Credits
An introduction to deterministic optimization. Topics include linear programming, sensitivity analysis, duality theory, network analysis, integer programming, and game theory. (Prerequisite: Math. 215.) Fall, odd years.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2025 AcademyOne, Inc.
|
|
|