Textbook
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<br>Walter Strauss: Partial Differential Equations, An Introduction, Second Edition, 2008 
<br>(First edition would be also fine!)
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<br>Course Desc<x>ription
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<br>This course is an introduction to the theory of partial differential equations intended for students majoring in 
<br>mathematics. Our aim is to introduce basic concepts and techniques of partial differential equations. 
<br>Throughout the course we will illustrate by some important mathematical models for problems from physics, 
<br>such as wave propagation, diffusion, heat transfer, potential theory, etc. Students registering to this course 
<br>should have some background knowledge on advanced calculus, linear algebra, and elementary differential 
<br>equations. 
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<br>Topics to be covered include:
<br>1. Where PDEs come from
<br>2. Waves and Diffusions
<br>3. Reflections and Sources
<br>4. Boundary Problems
<br>5. Fourier Series
<br>6. Harmonic Functions
<br>7. Green's identity and Green's Functions
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<br>Grading
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<br>Quizzes/Homework (20%): Homework assignments will be mostly selected from the textbook. Some of them 
<br>will be collected and graded. Quizzes will be ba<x>sed on homework assignments and taken place during 
<br>discussion sessions. Details are to be announced during the first week of classes. 
<br>Exams (80%): There will be two exams, each worth 40% of the course grade. Precise dates will be 
<br>scheduled during the first week of classes.
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