Applied Mathematics
COURSE CONTENT
Partial Differential Equations. (PDE) Solution of 1st order PDE, PDE of 2nd order, Characteristics and Classification of Partial Differential Equations, Canonical forms, The Cauchy problem, Boundary –Value Problems, Method of separation of variables: Solution of homogeneous and non homogeneous problems (Diffusion and Wave equations) and Laplace equations in Cartesian coordinates. Integral transformations: d’ Alembert solution of the wave equation. Solution of Laplace, Poisson, and Helmholtz equations in polar and cylindrical coordinates.
Complex Functions (CF): Complex Variables (CV) and functions, limits, continuity, differentiation and integration of CF, analytical functions, Equations of Cauchy-Riemann, Cauchy theorem and integral formulas, Series of (CV), Taylor and Laurent expansions, Theory of Residues, Evaluation of real definite integrals, Laplace inversion integral, Conformal mappings and applications.
LEARNING OUTCOMES
To give the student in mechanical engineering the knowledge of advanced applied engineering mathematics that he/she needs in his/her science in the areas of partial differential equations, integral equations and complex functions. This knowledge is necessary and is used in many subsequent specialization courses in mechanical engineering.
Course Features
- Lectures 0
- Quizzes 0
- Skill level All levels
- Language English
- Students 0
- Assessments Self