Math 346: Mathematical Analysis 2 - Revision history

Dac47: moved Math 346: Linear & Nonlinear Analysis 2 to Math 346: Mathematical Analysis 2

2015-05-04T21:12:31Z

moved Math 346: Linear & Nonlinear Analysis 2 to Math 346: Mathematical Analysis 2

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2015-05-04T21:12:15Z

‎Title

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2013-06-07T14:21:16Z

‎Prerequisites

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2013-06-07T14:21:02Z

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Ls5: moved Math 346: Linear and Nonlinear Analysis 2 to Math 346: Linear & Nonlinear Analysis 2

2013-04-03T22:20:20Z

moved Math 346: Linear and Nonlinear Analysis 2 to Math 346: Linear & Nonlinear Analysis 2

Ls5: moved Math 346 to Math 346: Linear and Nonlinear Analysis 2

2013-04-03T22:05:07Z

moved Math 346 to Math 346: Linear and Nonlinear Analysis 2

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2012-06-13T20:13:19Z

‎Description

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2012-06-13T19:48:19Z

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2012-06-06T19:42:51Z

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2012-06-06T19:41:34Z

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 === Title ===
-Linear and Nonlinear Analysis 2
+Mathematical Analysis 2
 === (Credit Hours:Lecture Hours:Lab Hours) ===

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 === Prerequisites ===
-[[Math 344]]; concurrent with [[Math 347]]
+[[Math 341]], [[Math 344]]; concurrent with [[Math 347]]
 === Minimal learning outcomes ===

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 === Prerequisite ===
-[[Math 344]]; concurrent with [[Math 347]]
+[[Math 341]], [[Math 344]]; concurrent with [[Math 347]]
 === Description ===

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 === Description ===
-The theory of Riemann-Darboux Integration, Calculus on Curves and Surfaces, Complex Integration, Spectral Calculus, Generalized Inverses of matrices, Basic Matrix Perturbation Theory, Groups of Permutations and Matrices.  Time permitting, Exterior Calculus and Differential Form
+Theory of Riemann-Darboux integration, calculus on curves and surfaces, complex integration, spectral calculus, generalized inverses of matrices, basic matrix perturbation theory, groups of permutations and matrices. Time permitting, exterior calculus and differential forms.
 == Desired Learning Outcomes ==

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 === (Credit Hours:Lecture Hours:Lab Hours) ===
-(3:3:1)
+(3:3:0)
 === Offered ===

← Older revision	Revision as of 21:12, 4 May 2015
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← Older revision	Revision as of 22:20, 3 April 2013
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← Older revision	Revision as of 22:05, 3 April 2013
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 # Riemann-Darboux Integration
-Definition and Examples
+#* Definition and Examples
-Integrability of continuous functions
+#* Integrability of continuous functions
-Iterated integrals and Fubini’s Theorem
+#* Iterated integrals and Fubini’s Theorem
-The Jacobian and change of variables
+#* The Jacobian and change of variables
-Polar and spherical coordinates
+#* Polar and spherical coordinates
 # Calculus on Curves and Surfaces
-Line and surface integrals
+#* Line and surface integrals
-Stokes’ Theorem
+#* Stokes’ Theorem
-Applications
+#* Applications
 # Complex Integration
-Contour Integrals on C
+#* Contour Integrals on C
-Laurent Series
+#* Laurent Series
-Residues
+#* Residues
-Cauchy Integral Formula
+#* Cauchy Integral Formula
-Important Theorems (Liouville, Rouche’s, Maximum Modulus, Fund. Thm. Algebra)
+#* Important Theorems (Liouville, Rouche’s, Maximum Modulus, Fund. Thm. Algebra)
 # Exterior Calculus and Differential Forms (time permitting)
-Tensors and Alternating Forms
+#* Tensors and Alternating Forms
-Differential Forms
+#* Differential Forms
-Calculus of Forms (Poincare Lemma)
+#* Calculus of Forms (Poincare Lemma)
-The Generalized Stokes’ Theorem
+#* The Generalized Stokes’ Theorem
-Applications
+#* Applications
 # Spectral Calculus
-The Resolvent
+#* The Resolvent
-Local properties
+#* Local properties
-Spectral Resolution
+#* Spectral Resolution
-Spectral Decomposition
+#* Spectral Decomposition
-The Spectral Mapping Theorem
+#* The Spectral Mapping Theorem
-Positive and Nonnegative Matrices (Perron-Frobenius)
+#* Positive and Nonnegative Matrices (Perron-Frobenius)
 # Generalized Inverses
-Moore-Penrose Inverse
+#* Moore-Penrose Inverse
-Drazin Inverse
+#* Drazin Inverse
-Other Inverses
+#* Other Inverses
 # Basic Matrix Perturbation Theory
 # Groups of Permutations and Matrices
-Permutations and Groups
+#* Permutations and Groups
-Homomorphisms
+#* Homomorphisms
-Canonical Groups
+#* Canonical Groups
-Matrix Groups and Representation Theory
+#* Matrix Groups and Representation Theory
-Symmetries and Applications
+#* Symmetries and Applications
-−
 === Textbooks ===