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MATH 455: Func of a Complex Var with App
3.00 Credits
University of Michigan-Ann Arbor
Complex number system. Functions of a complex variable, their derivatives and integrals. Taylor and Laurent series expansions. Residue theory and applications, elementary functions, conformal mapping, and applications to physical problems. Students cannot receive credit for both MATH 455 and MATH 555. (W). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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MATH 455 - Func of a Complex Var with App
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MATH 458: Introduction to Wavelets
3.00 Credits
University of Michigan-Ann Arbor
This course will introduce the students to theory and application of wavelets using linear algebra. Topics will include the discrete Fourier transform, the fast Fourier transform, linear transformations, orthogonal decomposition, discrete wavelet analysis, the filter bank, Haar Wavelet family, Daubechies's Wavelet family, and applications. Students cannot receive credit for both MATH 458 and MATH 558. (OC) 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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MATH 458 - Introduction to Wavelets
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MATH 462: Mathematical Modeling
3.00 Credits
University of Michigan-Ann Arbor
The processes of constructing, implementing, and evaluating mathematical models of "real world" phenomena are investigated. Models involving continuous and discrete mathematical constructs are considered. Deterministic and stochastic models are compared. Examples are taken from genetics, epidemiology, queuing theory, and other fields. Students cannot receive credit for both MATH 462 and MATH 562. (F). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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MATH 462 - Mathematical Modeling
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MATH 472: Intro to Numerical Analysis
3.00 Credits
University of Michigan-Ann Arbor
Solution of linear systems by Gaussian elimination, solution of non-linear equations by iterative methods, numerical solution of ordinary differential equations, data fitting with spline functions, numerical integration, optimization. Students cannot receive credit for both MATH 472 and MATH 572. (F). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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MATH 472 - Intro to Numerical Analysis
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MATH 473: Matrix Computation
3.00 Credits
University of Michigan-Ann Arbor
A study of the most effective methods for finding the numerical solution of problems which can be expressed in terms of matrices, including simultaneous linear equations, orthogonal projections and least squares, eigenvalues and eigenvectors, positive definite matrices, and difference and differential equations. Students cannot receive credit for both MATH 473 and MATH 573. (AY, W). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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MATH 473 - Matrix Computation
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MATH 480: History of Mathematics
3.00 Credits
University of Michigan-Ann Arbor
A unified view of the rise of mathematics from ancient times to the present, as seen in its conceptual developments and developers, its major themes and its applications (including computers). Students cannot receive credit for both MATH 480 and MATH 580. (OC). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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MATH 480 - History of Mathematics
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MATH 486: Sec School Math for Teachers
3.00 Credits
University of Michigan-Ann Arbor
Basic concepts, relationships, generalizations, and applications from the secondary school mathematics curriculum are discussed both from an advanced viewpoint and from the standpoint of the learner. Included are the roles of technology, problem solving, and current thinking on the teaching of secondary mathematics topics. Students cannot receive credit for both MATH 486 and MATH 586. (F). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Upper Division
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MATH 486 - Sec School Math for Teachers
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MATH 492: Introduction to Topology
3.00 Credits
University of Michigan-Ann Arbor
Metric spaces, topological spaces, continuous maps, connectedness, compactness, separation axioms. Students cannot receive credit for both MATH 492 and MATH 592. (AY,W). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Upper Division
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MATH 492 - Introduction to Topology
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MATH 499: Independent Studies in Math
1.00 - 3.00 Credits
University of Michigan-Ann Arbor
Independent study in mathematics for topics at the senior level. Topics and objectives chosen by agreement between student and instructor. (OC). 1.000 TO 3.000 Credit hours 1.000 TO 3.000 Other hours Levels: Undergraduate Schedule Types: Independent Study Mathematics Department Course Attributes: Upper Division
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MATH 499 - Independent Studies in Math
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MATH 507: Wrkshp in Micro for Teachers
2.00 Credits
University of Michigan-Ann Arbor
Thorough introduction to the Basic programming language and the writing of an educational program in the Basic language. Consideration is also given to the use of the microcomputer in the classroom. No credit for CASL concentration, minor, or area of focus. Open only to certified teachers or elementary education students. 2.000 Credit hours 2.000 Other hours Levels: Graduate, Rackham Schedule Types: Recitation Mathematics Department
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MATH 507 - Wrkshp in Micro for Teachers
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