Lesson plan / MATHEMATICAL APPLICATIONS IN MECHANICAL ENGINEERING

Lesson Information

Course Credit 2.0
Course ECTS Credit 2.0
Teaching Language of Instruction Türkçe
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Compulsory
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? Z
Course Coordinator
Instructor (s) Assist. Prof. Dr. MAHDI TABATABAEIMALAZI
Course Assistant

Purpose and Content

The aim of the course Formation of mathematical model of various engineering problems, Teaching solution techniques of mathematical models.
Course Content Mathematical modeling and solution methods of various engineering problems: Heat conduction, Linear and nonlinear initial value problems, strength and buckling of building elements, vibration and wave propagation, natural and forced vibrations, electromagnetic wave propagation, Maxwell equations.

Weekly Course Subjects

1Basic concepts
2Heat problems; boundary conditions in heat transfer problems
3Initial conditions in time-dependent heat transfer problems
4Linear and non-linear initial value problems
5Strength and buckling problems of structural elements
6Explanation of mechanical events, specific hypotheses
7Determination of mathematical model and boundary conditions
8Mid-term Exam
9Approximation of boundary conditions
10Applications
11Vibration and wave propagation problems
12Obtaining of equations, boundary and initial conditions
13Solution methods
14Natural and forced vibration problems

Resources

1-N. Tikhonov, Andreĭ Nikolaevich Tikhonov, Aleksandr Andreevich Samarskiĭ, Equations of Mathematical Physics, Courier Dover Publications, 1990. 2.A.C. Eringen and E.S. 3.Special Mechanics, wave propagation, heat conduction, etc. 3.Shububi, Elastodynamics, Vol.2, Linear Theory, Academic Press, New York, books.