MATH400-201 :       Applied Partial Differential Equations   (2nd term 2015/2016)
Lecture   I: Tuesday 9:30am--11:00am, Math Annex 1100.
Lecture II: Thursday 9:30am--11:00am, Math Annex 1100.
Office Hours: Every Monday, Wednesday, Friday, 4:30pm-5:20pm, LSK 303B.
Lecture Notes For MATH400
Downloads For MATH400
Updates For MATH 400
Jan. 4: Method of Characteristics.
Jan. 7: Method of Characteristics for linear and quasilinear 1st order PDE.
Jan. 12: Method of change of variables to obtain general solutions.
Jan. 14: Quasilinear first order PDEs. Expansion Fan.
Jan. 19: Expansion Fans and shocks. Traffic flow problems. Lecture Notes 2.
Jan. 21: First order fully nonlinear PDE (Lecture 3).
Jan. 26: Derivation of Wave and heat Equations. Well-posedness of PDE problems. (Lecture 4).
Jan. 28: Classification of 2nd order linear PDE. Change of variables. Lecture 4.
Feb: 2. D'Alembert's formula. General solutions for general hyperbolic equations.
Feb. 4: Wave equations on quarter plane. Wave equation with discontinuous speed. Wave equation with source. Lecture Note 5.
Feb. 9: Wave equations with sources. Wave equation on half line. Lecture note 5.
Feb. 11: Wave equation on a bounded domain. Lecture Note 6. Diffusion Equation. Lecture Note 7.
Feb. 25: Diffusion Equation with initial and sources. Lecture Note 8 and 9.
March 1: Diffusion equation on half space. Lecture Note 8.
March 3: Method of Separation of Variables. Lecture Note 9.
March 8: Method of Separation of Variables. Lecture Note 9.
March 10: Remarks on Lecture Note 9.5. Reduction to Sturm-Liouville EVP. Lecture Note 10.
March 15: General S-L Problems. Examples. Lecture Note 11.
March 17: General S-L Problems. Finished Lecture Note 11.
March 22: Method of Separations to inhomogeneous. Lecture Note 12.
March 24: Laplace equation. Uniqueness by energy method. Method of Separation of Variables to rectangles, cubes. Lecture Note 12/13.
March 29: Poisson formula. Applications.
March 31: Annulus, Exterior Domain, Wedges. Bessel Function.
April 5: Bessel functions of order $n$. Diffusion equation on a disk.
April 7: Bessel functions and applications. Finished Lecture Note 14.
Announcements For MATH 400
Office Hours: Every Monday, Wednesday, Friday, 4:30pm-5:20pm, LSK 303B. Starting Date: Jan. 6
Midterm date: Feb. 23, 2016, in class. Coverage: whatever before the term break.
Revised due date for assignment 3: Feb. 22
Coverage of Midterm test: up to Lecture Note 6.
No Office Hours on March 21, March 23.
From April 11 to April 15, and April 18, 19, I shall be in my office from 10am to 4pm. If you have questions, please knock on my door or send me an email.