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MATH 331: Topology
0.00 - 3.00 Credits
Iowa State University
Cr. 3. Alt. S., offered 2009. Prereq : 307 or 317. Topological properties of metric spaces, including Euclidean n-space, continuous functions, homeomorphisms, and topological invariants. Examples from surfaces, knots, links, and threedimensional manifolds. Nonmajor graduate credit.
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MATH 331 - Topology
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MATH 341: Introduction to the Theory of Probability and Statistics I.
0.00 - 3.00 Credits
Iowa State University
(3-0) Cr. 3. Prereq : Math 265 (or 265H). Probability; distribution functions and their properties; classical discrete and continuous distribution functions; moment generating functions, multivariate probability distributions and their properties; transformations of random variables; simulation of random variables and use of the R statistical package.
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MATH 341 - Introduction to the Theory of Probability and Statistics I.
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MATH 342: Introduction to the Theory of Probability and Statistics II.
0.00 - 3.00 Credits
Iowa State University
(3-0) Cr. 3. Prereq : Stat 341; Math 307 or 317. Sampling distributions; confi dence intervals and hypothesis testing; theory of estimation and hypothesis tests; linear model theory, enumerative data.
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MATH 342 - Introduction to the Theory of Probability and Statistics II.
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MATH 350: Number Theory.
0.00 - 3.00 Credits
Iowa State University
(3-0) Cr. 3. S. Prereq: 307 or 317. Divisibility, integer representations, primes and divisors, linear diophantine equations, congruences, and multiplicative functions. Applications to cryptography. Nonmajor graduate credit.
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MATH 350 - Number Theory.
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MATH 365: Complex Variables with Applications
0.00 - 3.00 Credits
Iowa State University
(3-0) Cr. 3. F.S. Prereq: 265. Functions of a complex variable, including differentiation, integration and series expansions, residues, evaluation of integrals, conformal mapping. Nonmajor graduate credit.
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MATH 365 - Complex Variables with Applications
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MATH 373: Introduction to Scientifi c Computation
0.00 - 3.00 Credits
Iowa State University
(3-0) Cr. 3. S. Prereq: 265. Vector, matrix and graphics programming in MATLAB for scientifi c applications. Algorithms for interpolation, systems of linear equations, least squares, nonlinear equations and optimization in one and several variables. Additional topics may include ordinary differential equations, symbolic calculation and the Fast Fourier Transform. Emphasis on effective use of mathematical software, and understanding of its strengths and limitations.
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MATH 373 - Introduction to Scientifi c Computation
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MATH 385: Introduction to Partial Differential Equations
0.00 - 3.00 Credits
Iowa State University
(3-0) Cr. 3. F.S. Prereq: 265 and one of 266, 267. Separation of variables methods for elliptic, parabolic, and hyperbolic partial differential equations. Fourier series, Sturm-Liouville theory, Bessel functions, and spherical harmonics. Nonmajor graduate credit.
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MATH 385 - Introduction to Partial Differential Equations
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MATH 398: Cooperative Education
2.00 Credits
Iowa State University
Cr. R. Repeatable for maximum of 2 credits. F.S.SS. Prereq: Permission of the department cooperative education coordinator; junior classifi cation. Required of all cooperative education students. Students must register for this course prior to commencing each work period.
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MATH 398 - Cooperative Education
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MATH 414: Analysis I
0.00 - 3.00 Credits
Iowa State University
Cr. 3. F.S.SS. Prereq: 201; 265; and 307 or 317. A careful development of calculus of functions of a real variable: limits, continuity, differentiation, integration, series. Nonmajor graduate credit.
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MATH 414 - Analysis I
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MATH 415: Analysis II
0.00 - 3.00 Credits
Iowa State University
Cr. 3. S. Prereq: 414. Sequences and series of functions of a real variable, uniform convergence, power series and Taylor series, Fourier series, topology of n-dimensional space, implicit function theorem, calculus of the plane and 3-dimensional space. Additional topics may include metric spaces or Stietjes or Lebesgue integration. Nonmajor graduate credit.
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MATH 415 - Analysis II
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