Writtens Workshop: 2011 Spring

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General Information

Instructor: Evan Chou (chou at cims)

Location/Time: 312 WWH, Tuesdays 7:10p-9p

Office: 608 WWH

Office Hours: By appointment

Advanced Calculus

February 1: Basic Limits, Convergence Tests for Series and Integrals
- Problems we covered: Jan. 04 #3, Jan. 04 #1, Sept. 03 #1a, Sept. 01 #1b, Jan. 91 #1
- Extra Practice: Sept. 00 #1, Sept. 92 #2, and for these last three problems, only do parts that test convergence of series: Jan. 00 #1, Jan. 91 #3, Jan. 09 #5
February 8 : Behavior for Sequences of Functions, Uniform Convergence, Evaluating Limits
- Problems we covered: (review Sep. 99 #2, Jan. 98 #4) Sep. 98 #3, Jan. 99 #2, Sep. 98 #4, Jan. 00 #1, Jan. 91 #3, Jan. 09 #5
February 15: Multivariable Calculus (for problems/notes click the link)
February 22: Stokes Theorem, Optimization, Misc Problems.

Linear Algebra

March 1: Change of Basis, Eigenvalues, Spectral Theorem, Jordan Form, Characteristic and Minimal Polynomial, Min-Max Theorem
March 8: Orthogonality, Projections/Reflections, SVD, Least Squares
March 15: No class (Spring Break)
March 22 : Trace and Determinant, Positive Definite Matrices
March 29: Miscellaneous... Inner Product Spaces (Riesz Representation and Adjoints), Matrix Norms, Matrix Power Series

Complex Analysis

April 5: Starting with Argument Principle, Rouche's Theorem, Cauchy Integral Formula
April 12: Laurent Series/Power Series, Classification of Singularities, Branch Cuts
April 19: Residue Theorem, Contour Integration
April 26: Finish some Contour Integrals, Möbius Transformations, Conformal Mapping
May 3: Maximum Principle, Harmonic Functions

Note: Later stopped including problems because they come from just going to the section and sampling the problems :)