Mth 611 Documents

This page lists old tests, notes, Maple worksheets, sample problems, etc., for Mth 611. You may find this material useful for studying. Expect some overlaps in the various files. Eventually very old files will dribble off the bottom.

Many of the documents are in Portable Document Format (PDF) or are Maple worksheets (MWS). You can use the free Adobe Acrobat Reader, available at http://www.adobe.com, to view or print PDF files. The Acrobat Reader plug-in is installed in the browser(s) on many campus computers. There are many other software packages for reading PDF files. Maple Worksheets require Maple to be useful.

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2005 Spring Mth 611 Complex Analysis Assignment 6
PDF, 15 KB. 1 page, 1 problem

Compute Laurant expansions by using partial fractions and geometric expansions. Lots of simple algebra and a little thought required.

2005 Spring Mth 611 Complex Analysis Assignment 5
PDF, 24 KB. 1 page, 1 problem

Problem 5.1 is an integral important in harmonic analysis. Have fun.

2005 Spring Mth 611 Complex Analysis Assignment 4
PDF, 20 KB. 1 page, 1 problem

Problem 4.1 is an example of evaluating an integral by recognizing that it is essentially a winding number.

2005 Spring Mth 611 Complex Analysis Assignment 3
PDF, 21 KB. 1 page, 2 problems

Problems 3.1-3.2. These problems deal with integration of rational combinations of sines and cosines over a period.

2005 Spring Mth 611 Complex Analysis Assignment 2
PDF, 21 KB. 1 page, 2 problems

Problems 2.1-2.2. These problems deal with reflections in "circles" (that is, circles or lines).

2005 Spring Mth 611 Complex Analysis Assignment 1
PDF, 18 KB. 1 page, 1 problem

Problem 1.1. This problem deals with symmetries of Möbius transforms.

2004 Spring Mth 611 Complex Analysis Assignment 4
PDF, 84 KB, 5 pages

Here are 12 problems dealing with Möbius transforms. Solutions to any 3 problems due April 30.

2004 Spring Mth 611 Complex Analysis Assignment 3
PDF, 50 KB, 1 page

6 problems dealing with the radius of convergence. Solutions to any 2 problems due April 11.

2004 Spring Mth 611 Complex Analysis Assignment 2
PDF, 81 KB, 3 pages

10 problems dealing with complex arithmetic. Solutions due April 9.

2004 Spring Mth 611 Complex Analysis Assignment 1
PDF, 47 KB, 2 pages

2 problems dealing with Cardano's method for the cubic. Solutions due April 5.

2003 Spring Mth 611 Complex Analysis Assignment 4
PDF, 61 KB, 2 pages, 10 problems

There are 10 problems on this set.

2003 Spring Mth611 Complex Analysis - Summary of Weeks 6, 7 and 8
PDF, 87 KB, 8 pages

Summary of most of the material from weeks 6-8.

2003 Spring Mth 611 Complex Analysis Assignment 3
PDF, 62 KB, 4 pages, 16 problems

This assignment contains 16 problems. You should choose 3 problems to solve and for which to turn in carefully written solutions. If a problem is easy your solution will need to meet a high standard, so you may not wish to limit yourself to the easier problems.

2003 Spring Mth 611 Complex Analysis - Summary of Fifth Week
PDF, 73 KB, 3 pages

Summary of the fifth week of lectures.

2003 Spring Mth 611 Complex Analysis - Summary of Fourth Week
PDF, 66 KB, 4 pages

Here is a summary of the highlights from the fourth week of lectures.

2003 Spring Mth 611 Complex Analysis - Summary of First Three Weeks
PDF, 39 KB, 1 page

Here is a summary of the highlights from the first 3 weeks. Having obtained primitive versions of the Cauchy theorem and the Cauchy Integral theorem, we are now in a position to obtain many important results relatively quickly.

2003 Spring Mth 611 Complex Analysis Assignment 2
PDF, 30 KB, 1 page, 6 problems

A few radius of convergence problems.

2003 Spring Mth 611 Complex Analysis Assignment 1
PDF, 30 KB, 1 page, 3 problems

This problem set is actually real analysis. The problems deal with computing the radius of convergence of a power series.

2002 Spring Mth 611 Complex Analysis Assignment 5 Laurent Series, etc.
PDF, 48 KB, 2 pages, 6 problems

2002 Spring Mth 611 Complex Contours and Contour Integrals
MWS, 25 KB, Maple Worksheet
PDF, 106 KB, 8 pages

2002 Spring Mth 611 Quantitative Fundamental Theorem of Algebra
PDF, 47 KB, 2 pages

2002 Spring Mth 611 Complex Analysis Assignment 4 Cauchy Inequalities
PDF, 38 KB, 1 page, 6 problems

2002 Spring Mth 611 Complex Analysis Assignment 3 Contour Integrals
PDF, 40 KB, 1 page, 6 problems

2002 Spring Mth 611 Complex Analysis Assignment 2 Power Series
PDF, 39 KB, 1 page, 7 problems

2002 Spring Mth 611 Complex Analysis Assignment 1 Complex Numbers
PDF, 34 KB, 1 page, 3 problems

Copyright © 2002-2004 Bent E. Petersen. The documents and the Maple worksheets described here, may be used, copied and distributed freely, entire and intact, for any educational noncommercial purpose, but may not be distributed in an altered form. If you want to improve on anything, which certainly can be done, then please write your own version(s).

petersen@math.oregonstate.edu

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