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MTH 261: Introduction to Linear Algebra
4.00 Credits
Portland State University
Introduction to rudimentary set theory, the algebra of sets, systems of linear equations, linear transformations, matrix algebra, vector spaces, and determinants.
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MTH 261 - Introduction to Linear Algebra
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MTH 271: Mathematical Computing
4.00 Credits
Portland State University
Machine representation of the real number field and its consequences. Elements of error analysis. Introduction to the design, analysis and stability of algorithms. Well/ill-conditioned problems. Programming, graphics, numeric and symbolic computations in MATLAB (a high level programming environment). Examples and applications in mathematics, science and engineering.
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MTH 271 - Mathematical Computing
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MTH 299: Special Studies
1.00 Credits
Portland State University
See depatment for course description.
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MTH 299 - Special Studies
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MTH 311: Advanced Calculus
4.00 Credits
Portland State University
Properties of the real numbers, introduction to metric spaces, Euclidean spaces, functions of a real variable, limits, continuity, the extreme and intermediate value theorems, sequences.
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MTH 311 - Advanced Calculus
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MTH 343: Applied Linear Algebra
4.00 Credits
Portland State University
Topics in matrix algebra, determinants, systems of linear equations, eigenvalues, eigenvectors, and linear transformations. Selected applications from science, engineering, computer science, and business.
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MTH 343 - Applied Linear Algebra
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MTH 344: Introduction to Group Theory and Applications
4.00 Credits
Portland State University
Groups, homomorphisms, factor groups. Selected applications from geometry, combinatorics, computer science, chemistry.
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MTH 344 - Introduction to Group Theory and Applications
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MTH 346: Number Theory
4.00 Credits
Portland State University
A presentation of the properties of numbers as found in the theory of divisibility, congruence, diophantine equations, continued fractions, and algebraic numbers.
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MTH 346 - Number Theory
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MTH 410: Selected Topics
3.00 Credits
Portland State University
See department for course description.
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MTH 410 - Selected Topics
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MTH 411: Introduction to Real Analysis I
3.00 Credits
Portland State University
Sequences and series of functions; Lebesgue measure and integration; the Stone-Weierstrass and Baire category theorems; Fourier Series; elements of functional analysis. Courses must be taken in sequence.
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MTH 411 - Introduction to Real Analysis I
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MTH 427: Partial Differential Equations I
3.00 Credits
Portland State University
Solution techniques, qualitative analysis and applications: separation of variables, eigenfunction expansion, Sturm-Liouville problems, Green's functions, Fourier transform solutions, finite difference and finite element methods. Courses must be taken in sequence.
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MTH 427 - Partial Differential Equations I
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