Instructor: Sujin Khomrutai, Ph.D. (contact)
Course Syllabus : 314 syllabus.pdf
Midterm Exam
Date: Friday December 24, 2010, Time 8.30-11.30
Textbooks/Lecture notes from classes are NOT ALLOWED
Lecture notes
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Lectures |
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1 |
Lecture 1, slide01.pdf |
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2 |
Lecture 2, slide02.pdf |
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3 |
Lecture 3, slide03.pdf |
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4 |
Lecture 4, slide04.pdf |
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5 |
Lecture 5, slide05.pdf |
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6 |
Lecture 6, slide06.pdf |
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7 |
Lecture 7, slide07.pdf |
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8 |
Lecture 8, slide08.pdf |
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9 |
Lecture 9, slide09.pdf |
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10 |
Lecture 10, slide10.pdf |
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11 |
Separation of variables, Separated solutions, Generalized superposition principle, Classical Fourier series |
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12 |
Nonhomogeneous equations, Dirichlet, Neumann, Robin, and Periodic BCs |
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13 |
Eigenfunction expansion technique |
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14 |
Sturm-Liouville problems, generalized Fourier expansion |
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15 |
Properties of Sturm-Liouville operators, Convergence of generalized Fourier expansion, Gibbs Phenomena |
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16 |
Elliptic equations, Laplace and Poisson equations, Maximum principle, Invariance, Fundamental solutions |
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17 |
BVP of Laplace and Poisson equations, Poisson formula and its consequences |
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18 |
Equations in higher dimension, Green's first and second identity, Green functions on a domain |
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19 |
Lecture 19, slide19.pdf |
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20 |
Lecture 20, slide20.pdf |