Mathematics 5

  • Mechanical Engineering |
  • English

Description

Series solution for ordinary differential equations with variable coefficients: Taylor`s and power series. Special s: Gamma, Beta, Bessel and Legendre s. Partial differential equations: method of separation of variables. Applications on partial differential equations: heat equation, wave equation, Laplace equation. Conformal mapping: complex s as mapping, linear fractional mapping, Schwarz – Christoffel mapping.

Program

Bachelor degree in Mechanical Engineering (Automotive Engineering)

Objectives

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Textbook

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Course Content

content serial Description
2Week Number 2: Differential equation with variable coefficients, ordinary and singular points, solution about ordinary points.
3Week Number 3: Solution about singular points: Regular singular points, the method of Frobenius - Case I.
4Week Number 4: The method of Frobenius - Case II and Case III.
5Week Number 5: Gamma and Beta functions.
6Week Number 6: Lengendre differential equation and Legendre polynomials.
7Week Number 7: Bessel differential equation.
8Week Number 8: Bessel function of the 1st kind.
9Week Number 9: Boundary value problems, partial differential equations and the method of separation of variables.
10Week Number 10: Heat equation - heat transfer in a bar.
11Week Number 11: Wave equation - vibration of a string.
12Week Number 12: Laplace equation and potential fields.
13Week Number 13: Conformal mappings - Complex functions as mappings.
14Week Number 14: Bilinear transformations – linear fraction transformation.
15Week Number 15: Schwarz Christoffel transformation.
16Week Number 16: Final Exam.
2Week Number 2: Differential equation with variable coefficients, ordinary and singular points, solution about ordinary points.
3Week Number 3: Solution about singular points: Regular singular points, the method of Frobenius - Case I.
4Week Number 4: The method of Frobenius - Case II and Case III.
5Week Number 5: Gamma and Beta functions.
6Week Number 6: Lengendre differential equation and Legendre polynomials.
7Week Number 7: Bessel differential equation.
8Week Number 8: Bessel function of the 1st kind.
9Week Number 9: Boundary value problems, partial differential equations and the method of separation of variables.
10Week Number 10: Heat equation - heat transfer in a bar.
11Week Number 11: Wave equation - vibration of a string.
12Week Number 12: Laplace equation and potential fields.
13Week Number 13: Conformal mappings - Complex functions as mappings.
14Week Number 14: Bilinear transformations – linear fraction transformation.
15Week Number 15: Schwarz Christoffel transformation.
16Week Number 16: Final Exam.
2Week Number 2: Differential equation with variable coefficients, ordinary and singular points, solution about ordinary points.
3Week Number 3: Solution about singular points: Regular singular points, the method of Frobenius - Case I.
4Week Number 4: The method of Frobenius - Case II and Case III.
5Week Number 5: Gamma and Beta functions.
6Week Number 6: Lengendre differential equation and Legendre polynomials.
7Week Number 7: Bessel differential equation.
8Week Number 8: Bessel function of the 1st kind.
9Week Number 9: Boundary value problems, partial differential equations and the method of separation of variables.
10Week Number 10: Heat equation - heat transfer in a bar.
11Week Number 11: Wave equation - vibration of a string.
12Week Number 12: Laplace equation and potential fields.
13Week Number 13: Conformal mappings - Complex functions as mappings.
14Week Number 14: Bilinear transformations – linear fraction transformation.
15Week Number 15: Schwarz Christoffel transformation.
16Week Number 16: Final Exam.
2Week Number 2: Differential equation with variable coefficients, ordinary and singular points, solution about ordinary points.
3Week Number 3: Solution about singular points: Regular singular points, the method of Frobenius - Case I.
4Week Number 4: The method of Frobenius - Case II and Case III.
5Week Number 5: Gamma and Beta functions.
6Week Number 6: Lengendre differential equation and Legendre polynomials.
7Week Number 7: Bessel differential equation.
8Week Number 8: Bessel function of the 1st kind.
9Week Number 9: Boundary value problems, partial differential equations and the method of separation of variables.
10Week Number 10: Heat equation - heat transfer in a bar.
11Week Number 11: Wave equation - vibration of a string.
12Week Number 12: Laplace equation and potential fields.
13Week Number 13: Conformal mappings - Complex functions as mappings.
14Week Number 14: Bilinear transformations – linear fraction transformation.
15Week Number 15: Schwarz Christoffel transformation.
16Week Number 16: Final Exam.

Markets and Career

  • Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
  • Electrical power feeding for civil and military marine and aviation utilities.
  • Electrical works in construction engineering.

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