[Note: The Reading references are to the textbook, Advanced Engineering
Mathematics, 4th ed., by Peter O'Neil, Brooks/Cole Publishing Co., 1995.]
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Week
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Class Days
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Topics
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Readings
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Activities
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1
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Jan. 11 | Organization, complex numbers | Section 17.1 | Maple Tutorial |
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2
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Jan. 16 & 18 | geometry of complex numbers, complex functions | Sections 17.2 & 17.4 | Worksheet |
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3
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Jan. 23 & 25 | derivatives, transcendental functions, Cauchy-Riemann equations | Sections 17.4, 17.5, & 17.7 | Complex Transcendental Functions |
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4
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Jan. 30 & Feb. 1 | logarithms, hyperbolic functions, complex line integrals | Sections 17.7, 17.8, &18.1 | Complex Line Integrals I |
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5
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Feb. 6 & 8 | Cauchy Integral Theorem, Cauchy Integral Formula | Sections 18.2 and 18.3 | TBA |
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6
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Feb. 13 & 15 | Taylor series, review | Sections 18.3 & 18.4 | |
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7
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Feb. 20 & 22 | Test 1 (Feb. 20), Laurent Series | Section 18.4 | Isolated Singularities and Series Expansions |
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8
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Feb. 27 & Mar. 1 | Residue Theorem and application to real integrals | Sections 18.5 and 18.7 | TBA |
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9
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Mar. 6 & 8 | wave equation, Fourier series | Sections 14.1, 14.2, & 16.3 | Review of Fourier Series |
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10
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Mar. 20 & 22 | Laplace's equation | Section 16.2 | Laplace's Equation |
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11
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Mar. 27 & 29 | complex Fourier series, Fourier transform | Sections 14.5 & 15.1 | |
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12
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Apr. 3 & 5 |
Fourier Transform, review, Test 2 (Apr. 5) |
Sections 15.1 & 15.2 | |
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13
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Apr. 10 & 12 | Laplace Transform | Chapter 3 | Experiments With the Laplace Transform |
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14
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Apr. 17 & 19 | inverse Laplace transform | Section 18.6 | The Inverse Laplace Transform |
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15
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Apr. 24 | review and evaluation |