COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Engineering Mathamatics I AEN   151 1 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
This course aims to improve the students skills for using concepts effectively by recalling their prior knowledge of mathematics.
Content
Concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives. Applications of definite integrals; area, volume and centroid calculations. Polar coordinates. Vectors, matrices (definition, types, sum and multiplication). Law of determinants and their calculations. Linear equations and their solutions. Lines and planes in space. Transformation of coordinate axes. Multiple integrals and their uses

Learning Outcomes
1) Acquires analytical thinking ability and improves skills by using mathematical concepts
2) Acquires analytical thinking ability and improves skills by using mathematical concepts
3) Acquires analytical thinking ability and improves skills by using mathematical concepts
4) Acquires analytical thinking ability and improves skills by using mathematical concepts
5) Acquires analytical thinking ability and improves skills by using mathematical concepts
6) Acquires analytical thinking ability and improves skills by using mathematical concepts
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Utilizes computer systems and softwares
2
Is equipped with a variety of skills and techniques in engineering.
3
Generates solutions for the problems in other disciplines by using statistical techniques
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
9
Has effective oral and written English for technical or non-technical use
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

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Concept of function Lecture notes Lecture
2 Limit Lecture notes Lecture
3 Continuity Lecture notes Lecture
4 Derivatives Lecture notes Lecture
5 Definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points) Lecture notes Lecture
6 Introduction to exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives Lecture notes Lecture
7 Applications of definite integrals; area, volume and centroid calculations Lecture notes Lecture
8 Midterm exam Lecture notes Testing
9 Polar coordinates Lecture notes Lecture
10 Vectors, matrices (definition, types, sum and multiplication) Lecture notes Lecture
11 Law of determinants and their calculations Lecture notes Lecture
12 Linear equations and their solutions Lecture notes Lecture
13 Lines and planes in space Lecture notes Lecture
14 Transformation of coordinate axes Lecture notes Lecture
15 Multiple integrals and their uses Lecture notes Lecture
16-17 Final exam Lecture notes Testing

Recommended or Required Reading
Textbook
Additional Resources