MATH5351 Mathematical Methods in Science and Engineering I

 

 

Lectures: Monday  18:30-21:20, Rm 5504, Lift 25-26

 

Office Hour: Monday 16:00-17:00, or by appointment

 

Textbook:  An introduction to nonlinear partial differential equations, J. David Logan, John Wiley & Sons, 2nd edition, 2008.

 

Syllabus

Academic Integrity

 

Announcements:

 

                     

Lectures 5&6 (Sep.18)

Traveling wave solutions, Plane wave solutions, dispersion relation, Fourier transform method, Cole-Hopf transformation

Textbook 1.5

Homework 2 (part I) Due Oct. 9

Lectures 3&4 (Sep.11)

Conservation laws, Constitutive equations, initial and boundary value problems, well-posedness

Textbook 1.2, 1,3, 1.4

Homework 1 (part II) Due Sep. 18

Lectures 1&2 (Sep. 4)

PDE, Order, Solution, Linear and Nonlinear PDEs, Fundamental types of PDEs

Textbook 1.1

Homework 1 (part I) Due Sep. 18