MTH 303 (603): Complex Variables
Dr. Elmer K. Hayashi
Fall 2003
Assignments
Textbook: Erwin Kreyszig, Advanced Engineering Mathematics, 8th Edition.
- Mon, 10/20/2003. Complex Numbers.
- Read section 12.1.
Do 3, 5, 7, 9, 11, 13, 15, 17 in section 12.1,
and 1, 3, 5 in section 12.2.
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- Wed, 10/22/2003. Polar Form and DeMoivre's Formula.
- Read section 12.2.
Do problems 7, 11, 15, 23, 27, 31 in section 12.2.
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- Fri, 10/24/2003. Derivatives.
- Read section 12.3.
Do problems 1, 3, 5, 7, 8, 11, 13, 15, 17, 21, 23 in section 12.3.
- Mon, 10/27/2003. Cauchy-Riemann Equations and Exponential Function.
- Read sections 12.4 and 12.6
Do problems 1, 5, 7, 9, 11 in section 12.4
and problems 1, 3, 5, 6, 9, 13, 15 in section 12.6.
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- Wed, 10/29/2003. Trig and Hyperbolic Functions.
- Read section 12.7.
Do problems 17 and 19 in section 12.6.
Do problems 1, 3, 5, 9, 11, 15, 17, 19 in section 12.7.
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- Fri, 10/31/2003. Logarithm Function.
- Read section 12.8.
Do problems 2, 5, 7, 11, 13, 15, 19, 21, 23, 25 in section 12.8.
- Mon, 11/03/2003. Line Integrals, Cauchy's Integral Theorem.
- Read sections 13.1-13.2.
Do problems 5, 7, 11, 13, 15, 17, 21, 23 in section 13.1.
Do problems 7 and 9 in section 13.2.
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- Wed, 11/05/2003. Cauchy's Integral Formula.
- Read section 13.3.
Do problems 13, 15, 17, 21 in section 13.2.
Do problems 1, 3, 4, 5, 7, 11, 13, 19 in section 13.3.
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- Fri, 11/07/2003. Analytic Functions.
- Read section 13.4.
Do problems 1, 3, 5, 7, 13, 17, and 19 in section 13.4.
- Mon, 11/10/2003. Midterm Exam.
- The exam will cover sections 12.1-12.4, 12.6-12.8, 13.1-13.3.
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- Wed, 11/12/2003.
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No Class.
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- Fri, 11/14/2003. Review of Series.
- Read section 14.4.
Do problems 5 and 9 in section 14.3.
Do problems 1, 2, 5, 7, 11, 17, 24 in section 14.4.
- Mon, 11/17/2003. Laurent Series.
- Read section 15.1.
Do problems 1, 3, 5, 7, 9, 11, 13, 15 in section 15.1.
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- Wed, 11/19/2003. Singularities and Zeros.
- Read section 15.3.
Do problems 1, 3, 5, 7, 15, 16, 17 in section 15.3.
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- Fri, 11/21/2003. Residue Theorem.
- Read section 15.4.
Do problems 2, 5, 6, 7 in section 15.4.
- Mon, 11/24/2003. Integrals with Cosine and Sine.
- Read section 15.4.
Do problems 9, 13, 15 in section 15.4.
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- Wed, 11/26/2003. Thanksgiving Vacation.
- No Class.
- Mon, 12/01/2003. Improper Integrals.
- Read section 15.4.
Do problems 17, 19, 20 in section 15.4.
- Wed, 12/03/2003. Review.
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- Fri, 12/05/2003. Review.
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- Wed, 12/10/2003. Final Exam
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2-5 p.m.
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Created 07/01/2003. Last modified 12/01/2003. Email to ekh@wfu.edu