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Course Criteria
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3.00 Credits
In this course, there will be a survey of classic papers and current research in computer graphics. Topics include: advanced ray tracing, global illumination, photon mapping, subsurface scattering, mesh generation and simplification, subdivision surfaces, volumetric modeling, procedural modeling and texturing, weathering, physical simulation, appearance models. Course activities include programming assignments, oral presentations and a term project. Prerequisites/Corequisites: Prerequisites: CSCI 2300; previous coursework or experience in computer graphics such as ECSE 4750 or computational geometry is recommended. When Offered: Spring semester. Cross Listed: Cross-listed with CSCI 4530. Credit Hours: 3
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4.00 Credits
Gaussian elimination, special linear systems (such as positive definite, banded, or sparse), introduction to parallel computing, iterative methods for linear systems (such as conjugate gradient and preconditioning), QR factorization and least squares problems, and eigenvalue problems. Prerequisites/Corequisites: Prerequisite: MATH 4800 or CSCI 4800 or permission of instructor. When Offered: Fall term even-numbered years. Cross Listed: Cross-listed as MATH 6800. Students cannot obtain credit for both this course and MATH 6800. Credit Hours: 4
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4.00 Credits
Numerical methods and analysis for ODEs with applications from mechanics, optics, and chaotic dynamics. Numerical methods for dynamic systems include Runge-Kutta, multistep and extrapolation techniques, methods for conservative and Hamiltonian systems, methods for stiff differential equations and for differential-algebraic systems. Methods for boundary value problems include shooting and orthogonalization, finite difference and collocation techniques, and special methods for problems with boundary or shock layers. Prerequisites/Corequisites: Prerequisite: MATH 4800 or CSCI 4800 or permission of instructor. When Offered: Spring term odd-numbered years. Cross Listed: Cross-isted as MATH 6820. Students cannot obtain credit for both this course and MATH 6820. Credit Hours: 4
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4.00 Credits
Numerical methods and analysis for linear and nonlinear PDEs with applications from heat conduction, wave propagation, solid and fluid mechanics, and other areas. Basic concepts of stability and convergence (Lax equivalence theorem, CFL condition, energy methods). Methods for parabolic problems (finite differences, method of lines, ADI, operator splitting), methods for hyperbolic problems (vector systems and characteristics, dissipation and dispersion, shocks capturing and tracking schemes), methods for elliptic problems (finite difference and finite volume methods). Prerequisites/Corequisites: Prerequisite: MATH 4800 or CSCI 4800 or permission of instructor. When Offered: Fall term odd-numbered years. Cross Listed: (Cross listed as MATH 6840. Students cannot obtain credit for both this course and MATH 6840). Credit Hours: 4
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4.00 Credits
Galerkin's method and extremal principles, finite element approximations (Lagrange, hierarchical and 3-D approximations, interpolation errors), mesh generation and assembly, adaptivity (h-, p-, hp-refinement). Error analysis and convergence rates. Perturbations resulting from boundary approximation, numerical integration, etc. Time dependent problems including parabolic and hyperbolic PDEs. Applications will be selected from several areas including heat conduction, wave propagation, potential theory, and solid and fluid mechanics. Prerequisites/Corequisites: Prerequisite: MATH 4800 or CSCI 4800 or permission of instructor. When Offered: Spring term even-numbered years. Cross Listed: (Cross listed as MATH 6860. Students cannot obtain credit for both this course and MATH 6860.) Credit Hours: 4
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1.00 Credits
Presentation of current developments in computer science. Reports by students. Credit Hours: 1
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1.00 - 3.00 Credits
Credit Hours: 1 to 3
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1.00 - 3.00 Credits
Credit Hours: 1 to 3
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3.00 Credits
Active participation in a semester-long project, under the supervision of a faculty adviser. A Professional Project often serves as a culminating experience for a Professional Master's program but, with departmental or school approval, can be used to fulfill other program requirements. With approval, students may register for more than one Professional Project. Professional Projects must result in documentation established by each department or school, but are not submitted to the Graduate School and are not archived in the library. Grades of A, B,C, or F are assigned by the faculty adviser at the end of the semester. If not completed on time, a formal Incomplete grademay be assigned by the faculty adviser, listing the work remaining to be completed and the time limit for completing this work.
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1.00 - 9.00 Credits
Active participation in a master's-level project under the supervision of a faculty adviser, leading to a master's project report. Grades of IP are assigned until the master's project has been approved by the faculty adviser. If recommended by the adviser, the master's project may be accepted by the Office of Graduate Education to be archived in the Library. Grades will then be listed as Credit Hours: 1 to 9
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