MA 4291 Applicable Complex Variables

**** Third Test - Tuesday, May 4. Sections 3.1-4.2 OPEN BOOK' ****

Text:

"Basic Complex Analysis"

J. Marsden., M. Hoffman, Freeman, NY 3rd Edition 1999

Instructor:

Herman Servatius

          Office: SH 305C - Office Hours: After class or by appointment
          EMAIL: hservat@wpi.edu
 
 

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Syllabus

An introduction to complex analysis for students in mathematics, the physical sciences, and engineering.  A knowledge of Calculus and basic differential equations is assumed.  Topics
covered:  basic definitions, analytic functions, Cauchy's Theorem, Taylor and Laurent
Expansions, the Calculus of Residues, conformal mapping, and applications.
 

Chapters 1-5 of the text will be covered. 

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Grading

      There will be three tests, each worth 30% of your grade.
      Homework will be collected every Friday, and selected problems graded.
      Homework is worth 10% of your grade.

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Homework

Chapter 4:
Section 4.1 - 1, 3, 7, 9, 13
Section 4.2 - 1, 3, 5, 9, 10

Chapter 3:
Section 3.1 - 1, 3, 5, 7, 11, 13, 14
Section 3.2 - 1, 3, 5, 7, 13, 17, 25
Section 3.3 - 1, 2, 3, 4, 7, 9, 11, 19

Chapter 2:
Section 2.1; - 1, 3, 9, 11, 13.
Section 2.2; - 1, 3, 5, 7
Section 2.3; - 1, 3, 5, 7
Section 2.4; - 1, 2, 3, 5, 7, 13, 19
Section 2.5; - 1

Chapter 1:
     Section 1.1;  Introduction to Complex Numbers
                         1, 3, 5, 13, 14
     Section 1.2;  Properties of Complex Numbers
                         1, 3, 5, 7, 9, 11, 19, 27, 29
     Section 1.3;  Some Elementary Functions
                          1, 3, 5, 7, 9, 10, 11, 12, 14, 15, 21, 22, 23, 24
     Section 1.4;  Continuous Functions
                          3, 5, 7, 8, 11, 13, 15
     Section 1.5;   Basic Properties of Analytic Functions
                          1, 3, 5, 11, 15, 19, 23
     Section 1.6;   Differentiation of Elementary Functions
                          1, 3, 5, 7