Basic Information
Basic Concepts For Partial Equations (pdes) and Associated Conditions. Solving Pdes of First Order, The Cauchy Problem, And The Characteristic Curves. Classification of Second-order Pdes, And Canonical Forms. Well-posedness. The One-dimensional Wave Equation, D'alambert's Method. Trigonometric Fourier Series, Fourier Transform Applications to Odes and Pdes, The Method Of Separation of Variables and Sturm-liouville Problem. The Heat And Wave Equations On a Finite Interval. The Laplace and Poisson Equations. The Maximun Principle and Properties of Harmonic Functions. Introduction to Numerical Methods For Solving Pdes.