|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 Coordinator||Prof. Dr. Kadir AYDIN|
Informing engineering students of fundemental mathematical concepts found in engineering problems and showing them the basic analytical solution methods
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.
|1) Vector functions|
|2) Series Expansion of Functions|
|3) Line Integrals|
|4) Double Integrals (Area Integrals)|
|5) Differential Equations: Analytical Solutions|
|Course's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Utilizes computer systems and softwares
Is equipped with a variety of skills and techniques in engineering.
Generates solutions for the problems in other disciplines by using statistical techniques
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations.
Comprehends visual, database and web programming techniques and has the ability of writing objective program
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions.
Leads the identification, development and usage of a product or production method.
Is aware of the need for lifelong learning and self-renew
Has effective oral and written English for technical or non-technical use
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations.
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.
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality
|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|
|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|