COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Applied Mathematics For. Mech. Eng. ME   251 3 3 3 5

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Naki TÜTÜNCÜ
Instructors
Prof.Dr.NAKİ TÜTÜNCÜ1. Öğretim Grup:A
Prof.Dr.NAKİ TÜTÜNCÜ2. Öğretim Grup:A
 
Assistants
Goals
Carrying one level up the tools learned in basic Calculus; advanced applications
Content
Advanced Calculus topics, dierivative applications, infinite series and introductory differential equation analysis

Learning Outcomes
1) Review of Basic Mathematics
2) Application of Advanced Analysisi topics
3) Development of problem formulation abilities
4) Mathematical expression of physical phenomena
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Student become equipped with the basic knowledge of math, science and engineering
X
2
Students gain a command of basic concepts, theories and principles in mechanical engineering
X
3
Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments
4
Students become equipped with a variety of skills and knowledge regarding engineering techniques
5
Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits.
X
6
Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique
X
7
Students take initiative in identification, design, development and use of a product or production process.
X
8
Students become aware of the necessity of lifelong learning and continuously self-renew
X
9
Students use English effectively for technical or non-technical topics orally or in wirtten form.
X
10
Students become effective in using computer, computer-aided drafting, design, analysis, and presentation
11
Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team
12
Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Series Basic Algebra Lecture
Homework
2 Convergence, Divergence Basic Algebra Lecture
Homework
3 Convergence Tests Basic Calculus Lecture
Homework
4 Power Series Basic Calculus Lecture
Homework
5 Taylor Series Basic Calculus Lecture
Homework
6 Partial Derivatives Basic Calculus Lecture
Homework
7 Vector Functions Basic Calculus and Linear Algebra Lecture
Homework
8 Directional Derivative Basic Calculus and Linear Algebra Lecture
Homework
9 Line İntegrals Basic Calculus Lecture
Homework
10 Area Integrals Basic Calculus Lecture
Homework
11 Definition of Differential Equations Basic Calculus Lecture
Homework
12 First-Order Differential Equations Basic Calculus Lecture
Homework
13 First-Order Differential Equations Basic Calculus Lecture
Homework
14 First-Order Linear Differential Equations Basic Calculus Lecture
Homework
15 Second-Order Constant-Coefficient Differential Equations Basic Calculus Lecture
Homework
16-17 Laplace Transformation Method Basic Differential Equations Lecture
Homework

Recommended or Required Reading
Textbook
Additional Resources