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MA 441: Real Analysis
3.00 Credits
Indiana University-Purdue University-Fort Wayne
The theory of functions of a real variable; continuity, theory of differentiation and Riemann integration, sequences and series of functions, uniform convergence, interchange of limit operations.
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MA 441 - Real Analysis
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MA 453: Elements of Algebra
3.00 Credits
Indiana University-Purdue University-Fort Wayne
Fundamental properties of homomorphisms, groups, rings, integers, polynomials, fields.
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MA 453 - Elements of Algebra
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MA 460: Geometry
3.00 Credits
Indiana University-Purdue University-Fort Wayne
This is a course in Euclidean geometry. It begins at the high-school level and then moves quickly to intermediate and advanced topics. Emphasis on proofs. Typically offered Fall, Spring.
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MA 460 - Geometry
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MA 487: Professional Practicum V
3.00 Credits
Indiana University-Purdue University-Fort Wayne
Authorized equivalent courses or consent of instructor may be used in satisfying course pre- and corequisites.
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MA 487 - Professional Practicum V
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MA 490: Topics in Mathematics for Undergraduates
1.00 - 5.00 Credits
Indiana University-Purdue University-Fort Wayne
Supervised reading and reports on approved topics in various fields. Cr. 1-5.
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MA 490 - Topics in Mathematics for Undergraduates
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MA 510: Vector Calculus
3.00 Credits
Indiana University-Purdue University-Fort Wayne
Calculus of functions of several variables and of vector fields in orthogonal coordinate systems; optimization problems; the implicit function theorem; Green's, Stokes', and the Divergence theorems; applications to engineering and the physical sciences.
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MA 510 - Vector Calculus
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MA 511: Linear Algebra with Applications
3.00 Credits
Indiana University-Purdue University-Fort Wayne
Real and complex vector spaces; linear transformations; Gram- Schmidt process and projections; least squares; QR and LU factorization; diagonalization, real and complex spectral theorem; Schur triangular form; Jordan canonical form; quadratic forms.
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MA 511 - Linear Algebra with Applications
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MA 521: Introduction to Optimization Problems
3.00 Credits
Indiana University-Purdue University-Fort Wayne
Necessary and sufficient conditions for local extrema in programming problems and in the calculus of variations. Control problems, statement of maximum principles, and applications. Discrete control problems.
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MA 521 - Introduction to Optimization Problems
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MA 523: Introduction to Partial Differential Equations
3.00 Credits
Indiana University-Purdue University-Fort Wayne
First-order quasi-linear equations and their application to physical and social sciences; the Cauchy-Kovalevsky theorem; characteristics, classification, and canonical form of linear equations: equations of mathematical physics; study of the Laplace, wave, and heat equations; methods of solution.
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MA 523 - Introduction to Partial Differential Equations
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MA 525: Introduction to Complex Analysis
3.00 Credits
Indiana University-Purdue University-Fort Wayne
Complex numbers and complex-valued functions of one variable; differentiation and contour integration; Cauchy's theorem; Taylor and Laurent series; residues; conformal mapping; applications.
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MA 525 - Introduction to Complex Analysis
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