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MATH 307: Math and Music
3.00 Credits
SUNY at Fredonia
Explores how mathematical ideas have been used to understand and create music, and how musical ideas have influenced math and science. Topics selected from the history of tuning and alternative tuning, the Music of the Spheres doctrine, historical theories of consonance, contributions to music theory by mathematicians, mathematical analysis of sound, philosophical and cognitive connections between math and music, and math in music composition and instrument design. An ability to read music is recommended. This course is not intended for Mathematics majors.
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MATH 307 - Math and Music
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MATH 309: Mathematical Sciences Internship
1.00 - 6.00 Credits
SUNY at Fredonia
Participation in an approved professional experience applying mathematics or statistics in a real world setting. Students must submit a Learning Contract describing the work experience, its relationship to the mathematical sciences, and how it will be monitored and evaluated. Permission of the department required.
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MATH 309 - Mathematical Sciences Internship
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MATH 315: Theory of Equations
3.00 Credits
SUNY at Fredonia
Study of the theory of polynomial equations. Rational, real and complex roots of algebraic equations, the Remainder and Factor theorems, Fundamental Theorem of Algebra, solutions of cubic and bi-quadratic equations and approximation of roots.
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MATH 315 - Theory of Equations
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MATH 322: Partial Differential Equations
3.00 Credits
SUNY at Fredonia
Introductory course in partial differential equations with emphasis on boundary value problems encountered in mathematical physics. Fourier series; separation of variables; D'Alembert's solution; the heat, wave and potential equations. Additional topics such as Sturm-Liouville problems or Laplace transforms as time permits.
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MATH 322 - Partial Differential Equations
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MATH 323: Intermediate Real Analysis
3.00 Credits
SUNY at Fredonia
Careful presentation of the ideas of calculus that are developed intuitively in the usual freshman-sophomore calculus courses. Techniques of proof in analysis; countable sets and cardinality; the real line as a complete ordered field; some topology of the real line; sequences and their limits; continuous functions and their properties; other topics as time permits.
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MATH 323 - Intermediate Real Analysis
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MATH 325: Numerical Analysis
3.00 Credits
SUNY at Fredonia
Introductory course in numerical methods for digital computers. Floating point arithmetic, errors, error analysis. Roots of equations, systems of equations. Numerical differentiation and integration. Interpolation and least squares approximations.
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MATH 325 - Numerical Analysis
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MATH 329: Mathematical Modeling
3.00 Credits
SUNY at Fredonia
An introduction to the development of mathematical models to solve various applied and industrial problems. Topics will include optimization, Lagrange multipliers, sensitivity analysis in optimization models, analysis and simulation of discrete and continuous dynamic models.
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MATH 329 - Mathematical Modeling
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MATH 331: Abstract Algebra I
3.00 Credits
SUNY at Fredonia
Study of algebraic structures, such as groups and rings. The fundamental theorem of finite abelian groups, basic homomorphism theorems for groups, permutation groups and polynomial rings are presented.
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MATH 331 - Abstract Algebra I
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MATH 332: Abstract Algebra II
3.00 Credits
SUNY at Fredonia
Continuation of the study of algebraic structures such as groups, rings, integral domains and fields, with applications such as: geometric symmetry and crystallography, switching networks, and error-correcting codes.
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MATH 332 - Abstract Algebra II
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MATH 335: Number Theory
3.00 Credits
SUNY at Fredonia
Study of integers and their properties; divisibility; primes; congruencies; multiplicative functions; quadratic residues; quadratic reciprocity; Diophantine equations.
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MATH 335 - Number Theory
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