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Course Criteria
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3.00 Credits
Prerequisite(s): MATH 2280 with a grade of C or higher and University Advanced Standing. Introduction to partial differential equations. Topics include Bessel functions, Legendre polynomials, Fourier analysis, partial differential equations, and boundary value problems.
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3.00 Credits
Prerequisite(s):(MATH 2210 or MATH 221H) and MATH 2270 with a grade of C or higher and University Advanced Standing; CS 1400 with a grade of C or higher is recommended.. Includes linear, quadratic, and nonlinear programming, network problems, convexity, necessary and sufficient optimality conditions, numerical algorithms, and special topics.
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3.00 Credits
Prerequisite(s): (MATH 1220 or FIN 3100 each with a grade of C or higher) and University Advanced Standing. Prepares students to take Exam FM/Exam 2 given by the Society of Actuaries/Casualty Actuarial Society. Trains students to answer complex questions under significant time pressure. Teaches the principles and mathematics of interest, annuities, amortization, investments, financial economics, derivative investment contracts and financial risk management.
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1.00 Credits
Prerequisite(s): STAT 4710 and University Advanced Standing. Provides preparation for the probability actuarial examination (Exam P) by linking concepts of probability and mathematical statistics to actuarial applications.
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1.00 Credits
Prerequisite(s): (MATH 3750 or Departmental Approval) and University Advanced Standing. Provides preparation for the financial mathematics actuarial examination (Exam FM) by linking concepts of finance to actuarial applications.
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3.00 Credits
Prerequisite(s): Math 3100 with a grade C or higher and University Advanced Standing. For Mathematics Education Majors. Includes the exploration of important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, and instructional practices to support and assess the learning of geometry. Teaches constructions and transformations, congruence and similarity, analytic geometry, solid geometry, conics, trigonometry, and the historical development of content and perspectives from diverse cultures. Makes explicit connections to various mathematical content strands (modeling, complex numbers, function, and algebra).
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3.00 Credits
Prerequisite(s): Math 1210 with a grade B- or higher and STAT 2040 with a grade C or higher and University Advanced Standing. For Mathematics Education Majors. Includes the exploration of important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, and instructional practices to support and assess the learning of statistics and probability. Focuses on summarizing and representing data, study design and sampling, probability, testing claims and drawing conclusions, and the historical development of content and perspectives from diverse cultures.
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3.00 Credits
Prerequisite(s): MATH 3250 with a grade of C or higher and University Advanced Standing. Presents the differential geometry of curves and surfaces. Includes parametrized curves, arc length, surfaces, tangent planes, area, curvature, the Gauss map, vector fields, isometries, geodesics, the Gauss-Bonnet theorem, and other curves and surfaces topics selected by the instructor.
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3.00 Credits
Prerequisite(s): MATH 3250 with a grade of C or higher and MATH 2280 with a grade of C or higher and University Advanced Standing. Covers limit and differentiation theorems, L'Hopital's rule, integration, the Fundamental Theorem of Calculus, series convergence, Taylor series, compactness, and an introduction to the geometry and topology of Euclidean spaces.
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3.00 Credits
Prerequisite(s): MATH 4210 with a grade of C or higher, and University Advanced Standing. Covers the topology of Euclidean spaces, vectors and linear transformations, multivariable limits and continuity, multivariable differentiation, Jordan regions, multivariable Riemann integration, and Taylor series in multiple variables.
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