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Course Criteria
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3.00 Credits
Credits: 1; Prereq: 90 hours earned and 3.6 UF GPA. A thesis is required for magna cum laude or summa cum laude designations. To qualify, students will normally have completed 90 semester hours of course work (exceptions may be made) and have at least a 3.6 GPA at the time they enroll. The thesis will be reviewed by at least one faculty member chosen by the honors coordinator from the student's department. (S-U)
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3.00 Credits
Credits: 3; Prereq: grade of C or better in MAC 2312, MAC 2512 or MAC 3473. First-order ordinary differential equations, theory of linear ordinary differential equations, solution of linear ordinary differential equations with constant coefficients, the Laplace transform and its application to solving linear ordinary differential equations. (M) (MR)
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2.00 Credits
Credits: 3; Prereq: grade of C or better in STA 4321. Random walks and Poisson processes, martingales, Markov chains, Brownian motion, stochastic integrals and Ito's formula.
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3.00 Credits
Credits: 3; Prereq: grade of C or better in MAP 2302 and in either MAS 3114 or MAS 4105. This is a second course in differential equations. Topics are systems of linear differential equations, stability theory and phase plane analysis, power series solutions of differential equations, Sturm-Liouville boundary-value problems and special functions. (Note: Credit will be given for, at most, one of MAP 4305 and MAP 5304.)
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3.00 Credits
Credits: 3; Prereq: grade of C or better in MAP 2302 and MAP 4305. Introduction to second-order linear partial differential equations (heat, wave and Laplace equations), separation of variables in PDEs, Sturm-Liouville eigenvalue problems, method of eigenfunction expansions (Fourier analysis) and Green's functions. Possible introduction to first-order PDEs and the method of characteristics. (Note: Credit will be given for, at most, one of MAP 4341 and MAP 5345.)
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3.00 Credits
Credits: 3; Prereq: grade of C or better in MAC 2313 (or MAC 3474) and MAP 2302. Complex variables, including derivatives and integrals, singularities, Taylor/Laurent series and residues; linear algebra, including Gaussian elimination, determinants, inversion, linear independence, eigenvalues and eigenvectors, and (time permitting) QR decomposition, systems of differential equations; (time permitting) numerical methods, including roots of equations, numerical integration, and numerical optimization.
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1.00 Credits
Credits: 3; Prereq: grade of C or better in MAC 2313 (or MAC 3474) and MAP 2302; MAP 4305 recommended. Introduction to linear systems and transforms; Laplace, Fourier and Z transforms and their mutual relationship; convolutions. Operational calculus; computational methods including the fast Fourier transform; second-order stationary processes and their autocorrelation functions; and problems of interpolation, extrapolation, filtering and smoothing of second-order stationary processes.
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3.00 Credits
Credits: 3; Prereq: grade of C or better in MAP 2302. Mathematical models of biological systems. Topics include models of growth, predator-prey populations, competition, the chemostat, epidemics, excitable systems and analytical tools such as linearization, phase-plane analysis, Poincare-Bendixson theory, Lyapunov functions and bifurcation analysis.
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3.00 Credits
Credits: 1; can be repeated with a change in content up to 2 credits. Each of a series of weekly lectures features a different executive making a presentation in his/her area of expertise. Major issues in retailing are addressed. Discussions of career opportunities and career paths in retailing are included. (S-U)
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1.00 Credits
Credits: 1 to 3; can be repeated for a total of 6 credits. Projects related to business in marketing as approved by the college. (S-U)
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