Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / MM209 - DEPARTMENT OF MECHANICAL ENGINEERING

Code: MM209 Course Title: ENGINEERING MATHEMATICS Theoretical+Practice: 3+0 ECTS: 5
Year/Semester of Study 2 / Fall Semester
Level of Course 1st Cycle Degree Programme
Type of Course Compulsory
Department DEPARTMENT OF MECHANICAL ENGINEERING
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer MEHMET PARLAK (mehmetparlak@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
The objective of this course is to teach the establishment and solution of mathematical models of basic engineering problems, to provide an understanding of the functioning of existing models, to improve their ability to solve problems for engineering applications, and to improve the ability to apply mathematical knowledge.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 can explain the functions of multiple variables, limit, continuity and differentiation PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
Examination
LO-2 can explain different mathematical methods of solution of engineering problems PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
Examination
LO-3 can explain vector functions; gradient, divergence, rotational and laplace operators PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
Examination
LO-4 will be able to apply partial derivatives of compound and closed functions, variable change in differential calculus, mean value theorem and analytical geometry of partial derivatives. PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
Examination
LO-5 can solve the problems of two and three-fold integral. PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Application of First and Second Order Linear Differential Equations, The Laplace Transform, Laplace Transform Solution of Linear Differential Equations with Constant Coefficients, The Solution of Initial-Boundary Value Problems, Fourier Series, Partial Differential Equations
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Introduction to Applications of First-Order Differential Equations (Orthogonal and Oblique Tragectories) Presentation, answer- question, solution of problems methods
2 Applications of First-Order Differential Equations (Problems in Mechanics) Presentation, answer- question, solution of problems methods
3 Applications of First-Order Differential Equations (Rate Problems,Population Growth, Mixture Problems, Heat Problems ) Presentation, answer- question, solution of problems methods
4 Applications of Second-Order Differential Equations ( Basics of Vibration Analysis and Its Classification) Presentation, answer- question, solution of problems methods
5 Basics of Vibration Analysis(Free-Undamped Motion, Free Damped Motion and Forced Motion) Presentation, answer- question, solution of problems methods
6 Applications of Second-Order Differential Equations ( Mechanics and Heat transfer Problems) Presentation, answer- question, solution of problems methods
7 Laplace Transform (Definition, Existence, and Basic Properties) Presentation, answer- question, solution of problems methods
8 mid-term exam
9 The Inverse Transform and the Convolution Presentation, answer- question, solution of problems methods
10 Laplace Transform Solution of Linear Differential Equations With Discontinous Nonhomogenous Terms Presentation, answer- question, solution of problems methods
11 Initial and Boundary Condition Problems Presentation, answer- question, solution of problems methods
12 Fourier Series of Trigonometric Fuctions Presentation, answer- question, solution of problems methods
13 Partial Differential Equations (Definition, and Basic Properties) Presentation, answer- question, solution of problems methods
14 1D-2D Wave Equations Presentation, answer- question, solution of problems methods
15 1D-2D Heat Equations Presentation, answer- question, solution of problems methods
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Bayrakçı, H. E., ´Lineer Sistemlerin Mühendislik Matematiği´, Çağlayan Kitapevi, İstanbul, 1991.
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 1 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 1 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 1 14 14
       b) Search in internet/Library 1 14 14
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 6 6 36
mid-term exam 1 1 1
Own study for final exam 6 6 36
final exam 1 1 1
0
0
Total work load; 144