COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Applied Mathematics For Auto. Eng. AEN   251 3 3 3 4

Prerequisites and co-requisites Yok
Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Kadir AYDIN
Instructors
Prof.Dr.HAMİDE KAVAK1. Öğretim Grup:A
 
Assistants
Goals
Informing engineering students of fundemental mathematical concepts found in engineering problems and showing them the basic analytical solution methods
Content
Series.Power Series. Taylor and MacLaurin Series. Complex Numbers. Vektor Functions. Gradient., Divergence, Laplacian Operators. Directional Derivative. Line Integrals. Area Integrals. Differential Equations: Definition and Types. First-Order Equations. Linear Equations. First-Order Partial Differential Equations. Second-Order Equations with Constant Coefficients. Laplace Transformations.

Learning Outcomes
1) Vector functions
2) Series Expansion of Functions
3) Line Integrals
4) Double Integrals (Area Integrals)
5) Differential Equations: Analytical Solutions
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Utilizes computer systems and softwares
X
2
Is equipped with a variety of skills and techniques in engineering.
X
3
Generates solutions for the problems in other disciplines by using statistical techniques
X
4
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations.
X
5
Comprehends visual, database and web programming techniques and has the ability of writing objective program
X
6
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions.
X
7
Leads the identification, development and usage of a product or production method.
X
8
Is aware of the need for lifelong learning and self-renew
X
9
Has effective oral and written English for technical or non-technical use
X
10
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations.
X
11
Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning.
X
12
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Sequences. Series. Convergence-Divergence Lecture notes Lecture
2 Power Series. Taylor and MAclaurin Series Lecture notes Lecture
3 Complex Numbers Lecture notes Lecture
4 Partial Differentiation. Chain Rule Lecture notes Lecture
5 Vector Calculus. Gradient and Directional Derivative Lecture notes Lecture
6 Multiple Integrals: Double Integrals Lecture notes Lecture
7 Area Integrals using Polar Coordinates Lecture notes Lecture
8 Midterm Exam Writing Exam Testing
9 Divergence, Curl and Laplacian. Line Integrals Lecture Notes Lecture
Discussion
10 Differential Equations (DE), First-order DE Lecture notes Lecture
11 Linear First-order Partial DE Lecture notes Lecture
12 Nonhomogeneous DE Lecture notes Lecture
13 Laplace transformation Lecture notes Lecture
14 Second-order Linear Partial DE Lecture notes Lecture
15 DE Applications Lecture notes Lecture
16-17 Final Exam Writing Exam Testing

Recommended or Required Reading
Textbook
Additional Resources