Prerequisites# (104013 Or 104014 Or 104020 Or 104022 Or 104281 ) And (104016 Or 104171) and (104131 Or 104135 Or 104285). Introduction to Partial Differential Equations (pdes). Solution Of First Order Equations. Cauchy Problem and Characteristic Curves. Classification of Pdes and Canonical Forms. Well Posed Problems. One-dimensional Wave Equation, D'alembert Method. Sturm-liouville Problem, Inner Product Spaces and Orthonormal Systems, Parseval (in)equality. Convergence of Classical Fourier Series, Dirichlet Theorem, Derivation and Integration Theorems. The Method Of Separation of Variables, The Heat and Wave Equations in a Finite Interval. Laplace and Poisson Equations. The Maximum Principle And Properties of Harmonic Functions. The Green Function.

Faculty: Mathematics
|Undergraduate Studies

Course with no extra credit

104030 - Int.to Partial Differential Equations 104214 - Fourier Series and Integral Transforms 104273 - Int.to Functional and Fourier Analysis 104276 - Introduction to Functional Analysis 234299 - Math. Methods For Computer Applications


Course with no extra credit (contained)

104218 - Partial Differential Equations/h 104220 - Partial Differential Equations/t 104228 - Partial Differential Equations/m


Semestrial Information