## Fall 2006

Time and Place:  MW 9:40-10:30am, AEB 110
Instructor:  Grady Wright, JWB 126, 581-8649, Email:
Office Hours:  MTW 10:35-11:45am, or by appointment (email is best).

### Homework

See "How to Present your Work" for instructions on writing up your homework assignments.  You may also be interested in this page describing some basic mathematical  symbols.

Homework will now be assigned on Mondays and due on the following Monday, unless otherwise stated.

 # Due Section(s) Topic Page[Problem Numbers] Additional Problems 1 08-30-2006 1-2 4 Complex Numbers Geometric Properties 4[2,3,4,5,10], 7[1,5] 11[1,4] 2 09-06-2006 5 6-7 Geometric Properties Polar Coordinates 13[1,2,7,10] 21[1,2,5,6,7] 3 09-13-2006 6-7 8-10 11 Polar Coordinates Roots Functions of a complex variable 21[5,10] 28[3,6,7,8],31[1,5] 35[1b,1d,2,4] 4 09-20-2006 New due date: 09-25-2006 12-13 14-17 Mapping Limits 42[1,3,7],Supplemental 53[1c,2a,2b,3b,5,10] 5 09-25-2006 18-19 Derivatives 59[1b,1d,3,7,8] 6 Monday: 10-02-2006 20-22 23-24 25 Cauchy-Riemann Analytic functions Harmonic functions 68[1b,1d,2b,2d,3c,4a] 73[2c,4a,4c] 78[1b,1d,9] Exam 1 Wednesday: 10-04-2006 1-27 All material up to 10-02-2006 Practice Exam A Practice Exam B Solutions Practice A Solutions Practice B 7 Monday: 10-16-2006 28-30 31-32 Exponential and log Complex exponents 89[3,6,8a,10],94[1b,3b,4,5] 96[1,4],99[2a,2b,3,6,9] 8 Monday: 10-23-2006 33-35 36-37 Trigonometric functions Definite integrals 103[13,17],107[1,15],110[3] 115[2a,2c,3] 9 Monday: 10-30-2006 38-41 Contour Integrals 121[5],128[2,3,6,7,10],133[4] 10 Monday: 11-06-2006 42-43 44-48 Antiderivatives Cauchy Integral Formula 141[2,4] 153[1a,1c,1e,1f,2b,3,4,6], 162[1b,1d,2b,4,7] 11 Monday: 11-13-2006 49-50 51-54 55-56 Max. principle Power series Laurent series 171[4,8] 181[4],188[2,3,7,8] 198[1,2,4] Exam 2 (solutions) Wednesday: 11-15-2006 28-56 All material up to 11-8-2006 Practice Exam A Practice Exam B Solutions Practice A Solutions Practice B 12 Monday: 11-27-2006 57-61 62-65 Manipulating power series Residues and singular points 212[1,3,4,6],218[1,2,4] 230[1a-c,2a,2c,3a],233[1a,1c,1d,2b] 13 Monday: 12-11-2006 66-69 71-72 73-74, 81-82 Residues and poles Improper integrals Fourier and Laplace integral 238[2,3,5,6a],245[1,2b,4b,8b] 257[2,4,6] 265[2.3,5,8],296[1,4] Ex. Credit Monday: 12-11-2006 1-82 Choose any 12 of the following 26 problems. 14[14],28[5],42[6],59[4],68[1c],73[4b], 78[3],89[12],94[7],99[1b],103[11],107[14], 115[7],128[11],153[1d],162[5],188[13],198[6], 212[2],218[8],230[1e],233[2c],238[4],245[5],257[8],265[12] Review Friday: 12-08-2006, 10:00am - 12:00pm Location: JWB 208 Come with questions! Final Exam Monday: 12-11-2006 Comprehensive exam Practice Exam A Practice Exam B Solutions Practice A Solutions Practice B