Mathematical Methods In Engineering

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

-

Weekly Schedule

1) Differential equations and definitions, classification of differential equations
2) First order linear differential equations
3) First order nonlinear differential equations, first order differential equations of separable type, homogeneous first order differential equations, exact differential equations
4) Systematic approach for first order differential equations, applications of first order differential equations
5) Higher order linear differential equations, differential equations with constant coefficients, theory of inhomogeneous differential equations, method of indeterminate coefficients, method of change of constant (change of parameters)
6) Systems of linear differential equations, vanishing method, eigenvalue method, Cauchy-Euler equation
7) Properties of homogeneous linear differential equation systems, homogeneous linear systems with constant coefficients, analysis of roots
8) Application of differential equation systems
9) Odd and even functions, periodic functions, trigonometric Fourier series, exponential Fourier series
10) Laplace transform and definitions, laplace transform properties
11) Inverse Laplace transform and definition, properties, partial fractionalization method
12) Laplace and inverse laplace transforms sample applications
13) Using Laplace transforms in electrical engineering problems
14) Mixed application problems for differential equations, Fourier series and Laplace transform

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Contribution of Quiz to Course Grade	30%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required