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Course Criteria
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3.00 Credits
An introduction to the basic methods of solving ordinary differential equations, including the methods of undetermined coefficients, variation of parameters, series, Laplace transforms and numerical methods. Separable, exact and linear equations. Applications. Prerequisite: MTH 155 with a grade of 2.0 or higher.
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4.00 Credits
Concepts and methods of discrete mathematics with an emphasis on their application to computer science. Logic and proofs, sets and relations, algorithms, induction and recursion, combinatorics, graphs and trees. Prerequisite: MTH 155 with a grade of 2.0 or higher.
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4.00 Credits
Eigen values, eigenvectors and their applications, matrix calculus, linear differential equations, Jordan canonical forms, and quadratic forms. Time will also be spent on various computational techniques. Prerequisite: MTH 275 with a grade of 2.0 or higher (or 256 with a grade of 2.0 or higher).
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4.00 Credits
Partial differential equations of physics, Fourier methods, Laplace transforms, orthogonal functions, initial and boundary value problems, and numerical methods. Prerequisite: MTH 254 with a grade of 2.0 or higher and APM 255 with a grade of 2.0 or higher (or 257).
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4.00 Credits
Computer algorithms, their design and analysis. Strategies for constructing algorithmic solutions, including divide-and-conquer dynamic programming and greedy algorithms. Development of algorithms for parallel and distributed architectures. Computational complexity as it pertains to time and space is used to evaluate the algorithms. A general overview of complexity classes is given. Identical with CSE 361. Prerequisites: CSE 231 and APM 263 with a grade of 2.0 or higher.
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4.00 Credits
Formal models of computation, including finite state automata, pushdown automata and Turing machines. Regular and context-free languages. The computational models are used to discuss computability issues. Identical with CSE 343. Prerequisite: APM 367 with a grade of 2.0 or higher.
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3.00 Credits
Advanced study of a selected topic in applied mathematics. May be repeated for additional credit. Prerequisite: Permission of instructor.
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4.00 Credits
Propagation of errors, approximation and interpolation, numerical integration, methods for the solution of equations, Runge-Kutta and predictor-corrector methods. Offered fall of even-numbered years. Preprequisites: MTH 275 with a grade of 2.0 or higher (or MTH 256 with a grade of 2.0 or higher), APM 255 with a grade of 2.0 or higher (or APM 257with a grade of 2.0 or higher) and knowledge of a scientific programming language, or permission of the instructor.
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4.00 Credits
Systems of linear equations, Gaussian elimination, LU factorization, approximation and curve fitting, Eigen value problems, and nonlinear systems. Offered winter of odd-numbered years. Prerequisite: MTH 254 with a grade of 2.0 or higher, 275 with a grade of 2.0 or higher (or 256 with a grade of 2.0 or higher) and knowledge of a scientific programming language, or permission of the instructor.
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4.00 Credits
Review of elementary techniques, existence and uniqueness theory, series methods, systems of equations, oscillation and comparison theorems, Sturm-Liouville theory, stability theory and applications. Prerequisite: APM 255 with a grade of 2.0 or higher (or 257 with a grade of 2.0 or higher) and MTH 452 with a grade of 2.0 or higher.
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