Introduction to the theory of probability and stochasitc processes based on differential equations with applications to science and engineering. Poisson processes and continuous-time Markov processes, Brownian motions and diffusion. Prerequisite: AMATH/STAT 506, AMATH 402, or equivalent knowledge of probability and ordinary differential equations. Offered: Sp.
Score: 4.92532 Details | Listing | Web page
Methods for nonlinear partial differential equations (PDEs) leading to coherent structures and patterns. Includes symmetries, conservations laws, stability Hamiltonian and variation methods of PDEs; interactions of structures such as waves or solitons; Lax pairs and inverse scattering; and Painleve analysis. Prerequisite: AMATH 569, or permission of instructor. Offered: A.
Score: 4.92532 Details | Listing | Web page
Theory of linear and nonlinear hyperbolic conservation laws modeling wave propagation in gases, fluids, and solids. Shock and rarefaction waves. Finite volume methods for numerical approximation of solutions; Godunov's method and high-resolution TVD methods. Stability, convergence, and entropy conditions. Prerequisite: AMATH 586 or permission of instructor. Offered: W.
Score: 4.92532 Details | Listing | Web page
Overview of ways in which complex dynamics arise in nonlinear dynamical systems. Topics include bifurcation theory, universality, Poincare maps, routes to chaos, horseshoe maps, Hamiltonian chaos, fractal dimensions, Liapunov exponents, and the analysis of time series. Examples from biology, mechanics, and other fields. Prerequisite: AMATH 568 or equivalent.
Score: 4.92532 Details | Listing | Web page
Project-oriented computational approach to solving problems arising in the physical/engineering sciences, finance/economics, medical, social and biological sciences. Problems requiring use of advanced MATLAB routines and toolboxes. Covers graphical techniques for data presentation and communication of scientific results. Prerequisite: Proficiency in basic MATLAB or AMATH 301, or permission of instructor.
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Numerical methods for solving linear systems of equations, linear least squares problems, matrix eigen value problems, nonlinear systems of equations, interpolation, quadrature, and initial value ordinary differential equations. Offered: jointly with MATH 584; A.
Score: 4.92532 Details | Listing | Web page
Numerical methods for steady-state differential equations. Two-point boundary value problems and elliptic equations. Iterative methods for sparse symmetric and non-symmetric linear systems: conjugate-gradients, preconditioners. Prerequisite: AMATH 581 or MATH 584 which may be taken concurrently. Offered: jointly with MATH 585; W.
Score: 4.92532 Details | Listing | Web page
Numerical methods for time-dependent differential equations, including explicit and implicit methods for hyperbolic and parabolic equations. Stability, accuracy, and convergence theory. Spectral and pseudospectral methods. Prerequisite: AMATH 581 or AMATH 584. Offered: jointly with ATM S 581/MATH 586; Sp.
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Various advanced topics in numerical analysis and scientific computing, such as iterative methods, eigenvalue computations, approximation theory, finite element methods, inverse problems, nonlinear conservation laws, computational fluid dynamics. Prerequisite: AMATH 584, 585, 586, or equivalent. Offered: jointly with MATH 594.
Score: 4.92532 Details | Listing | Web page
Various advanced topics in numerical analysis and scientific computing. See the description for 594 for sample topics. Prerequisite: AMATH 584, 585, 586, or equivalent. Offered: jointly with MATH 595.
Score: 4.92532 Details | Listing | Web page
Various advanced topics in numerical analysis and scientific computing. See the description for 594 for sample topics. AMATH 584, 585, 586, or equivalent. Offered: jointly with MATH 596.
Score: 4.92532 Details | Listing | Web page
Credit/no credit only.
Score: 4.92532 Details | Listing | Web page
Credit/no credit only.
Score: 4.92532 Details | Listing | Web page
Credit/no credit only.
Score: 4.92532 Details | Listing | Web page
Introduction to recurring themes and practices in the visual arts. Moves beyond medium-based categories, surveying a diverse range of issues that motivate artists and create content in contemporary art. Examines the importance and influence of the visual arts in the larger context of contemporary culture and society.
Score: 4.92532 Details | Listing | Web page
Drawing studied as the means of creating a coherent visual and expressive statement. Development of ability in the fundamentals of drawing: line, tone, and gesture, theory and practice of linear and aerial perspective, and basic concepts of composition. Offered: AWSp.
Score: 4.92532 Details | Listing | Web page
Through use of a variety of materials, three-dimensional fundamentals are investigated for formal and conceptual concerns as they apply to the visual arts. Offered: AWSp.
Score: 4.92532 Details | Listing | Web page
Studio-based class introducing students, through particular studio practice of individual instructors, to methods of visual awareness, principles of organization, and approaches to visual and conceptual observation. Relationship between art history and contemporary art practice. Artistic medium in each class varies with instructor expertise. Offered: AWSpS.
Score: 4.92532 Details | Listing | Web page
Presentation of process through which artists discover and translate ideas, feelings, and concerns into images or objects. Use of a wide variety of methods and approaches, from traditional to technological, to promote visual expression. Discussion and critiques leading toward better understanding the creative process.
Score: 4.92532 Details | Listing | Web page
Examination of color as distinct visual phenomenon with investigations of its practical, theoretical, and illusionary aspects. Various media and materials employed in exercises and compositions that demonstrate properties of color structure, symbolism, and perception and their potential applications to art and design.
Score: 4.92532 Details | Listing | Web page
Exploration, study, and application of thematic concepts not generally associated with traditional three-dimensional art forms. Investigation of themes such as installation, performance, public, and socio-political art.
Score: 4.92532 Details | Listing | Web page
Introduction to theory, techniques, and processes of still photography. Projects stress the visual and creative potential of the medium. (Students must provide a cameral with lens, shutter, and aperture controls.) Offered: AWSpS.
Score: 4.92532 Details | Listing | Web page
Introduction to fundamentals of three-dimensional design process. Both practical and conceptual skills explored and demonstrated though assigned project or projects.
Score: 4.92532 Details | Listing | Web page
Provides a general introduction to industrial design. Develops students knowledge through lectures, readings, and studio projects that focus on the history of the discipline and the processes of brainstorming, ideation, skill building, problem solving, and professional presentation used in the creation of design. Includes participation by guest designers.
Score: 4.92532 Details | Listing | Web page
The rudiments of visual structure and organization in two-dimensional design. Covers formal principles of composition with an emphasis on design processes and serves as the groundwork for subsequent design courses. Required for application to the Visual Communication Design major. Offered: A.
Score: 4.92532 Details | Listing | Web page
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