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MA 497: Undergraduate Research
1.00 - 3.00 Credits
Clarkson University
Students engage in mathematical research with a faculty member. The topic will be determined by student interest and faculty research programs. This course may be repeated for credit.
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MA 497 - Undergraduate Research
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MA 499: Professional Experience
0.00 Credits
Clarkson University
This course records success in completing the requirements other than conventional course work for all mathematics majors. The student must present evidence demonstrating skill in communications and understanding the profession. The requirement can be satisfied in a number of ways including internships or co-ops with appropriate professional content, participation in REU programs, a mathematical honors thesis, teaching assistance in mathematics, active participation in professional societies including attendance at regional or national conferences and presentation of work at such. Directed study or research courses that lead to such presentations would also satisfy the requirement. Check with the Math department for specific requirements.
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MA 499 - Professional Experience
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MA 525: Functional Analysis
3.00 Credits
Clarkson University
This course introduces the students to the fundamental aspects of applied functional analysis. This field builds upon the concepts of real and complex analysis, developing the general theories of Banach spaces, bounded linear operators, and linear functionals. The primary focus of the course will be applications of functional analysis to other fields of mathematics, including such topics as dual spaces, weak topologies and weak convergence, approximation theory, and the applications of operator theory to the solutions of partial differential equations. Recommended prerequisites: courses in Real Analysis and Complex Analysis or consent of the instructor.
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MA 525 - Functional Analysis
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MA 526: Convex Optimization and Analysis
3.00 Credits
Clarkson University
Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax and extremal volume problems. Optimality conditions, Lagrange multipliers and KKT conditions, duality theory, primal and dual decomposition theorems of alternative interior point methods. Possible applications to come from signal processing, physics, control theory, mechanical engineering, image processing, manifold learning. Other topics may include epigraphs, subdifferentials and cone convexity, and multiobjective optimization.
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MA 526 - Convex Optimization and Analysis
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MA 562: Complex Analysis with Applications
3.00 Credits
Clarkson University
Complex numbers and functions, conformal mapping and applications, derivative, Cauchy-Riemann equations, real and complex line integrals, Fundamental Theorem, Cauchy and Poisson formulas, Taylor series, analytic continuation, special functions, Laurent series, residues. Applications to partial differential equations. Prerequisite: MA231.
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MA 562 - Complex Analysis with Applications
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MA 571: Numerical Solution of Differential Equations
3.00 Credits
Clarkson University
Numerical solution of initial and boundary value problems in ordinary differential equations, finite difference methods for elliptic, parabolic, and hyperbolic partial differential equations. Additional topics may include introduction to finite element and spectral methods. Prerequisites: MA377 or consent of the instructor and the ability to program.
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MA 571 - Numerical Solution of Differential Equations
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MA 582: Mathematical Statistics I
3.00 Credits
Clarkson University
A rigorous course in statistics. Topics include random variables and their distributions, data reduction, estimation, sampling distributions, testing, optimal tests, analysis of variance and nonparametric statistics. A large project is required. Prerequisites: MA381.
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MA 582 - Mathematical Statistics I
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MA 601: Topics in Mathematics
1.00 - 10.00 Credits
Clarkson University
Prerequisites: consent of the instructor.
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MA 601 - Topics in Mathematics
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MA 701: Directed Study in Mathematics
1.00 - 10.00 Credits
Clarkson University
Prerequisites: consent of the instructor.
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MA 701 - Directed Study in Mathematics
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MA 705: Directed Study in Applied Mathematics
1.00 - 10.00 Credits
Clarkson University
Prerequisites: consent of the instructor.
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MA 705 - Directed Study in Applied Mathematics
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