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Course Details
KTO KARATAY UNIVERSITY
Graduate Education Institute
Programme of Mechatronics Engineering Master of Science
Course Details
Course Code Course Name Year Period Semester T+A+L Credit ECTS
81811115 Advanced Engineering Mathematics 1 Spring 2 3+0+0 7 7
Course Type Elective
Course Cycle -
Course Language Turkish
Methods and Techniques -
Mode of Delivery Face to Face
Prerequisites -
Coordinator -
Instructor(s) Assoc. Prof. Ahmet MERAM
Instructor Assistant(s) -
Course Instructor(s)
Name and Surname Room E-Mail Address Internal Meeting Hours
Assoc. Prof. Ahmet MERAM A-129 [email protected] 7723
Course Content
Türev, geometrik anlamı ve özellikleri, temel elementer fonksiyonların türevleri. Diferansiyel, yüksek mertebeden türev ve diferansiyel. Türevin uygulamaları, Türevle ilgili temel teoremler. Fonksiyonların ekstremumu ve asimptotları. Fonksiyonların değişiminin incelenmesi ve grafiklerinin çizimi. Belirsiz integral ve özellikleri. Değişken değiştirme ve kısmi integrasyon. Rasyonel ve irrasyonel fonksiyonların integralleri. Binom integrali. Trigonometrik ve hiperbolik fonksiyonları integralleri. Belirli integralin uygulamaları ve özellikleri. Belirli integralin uygulamalrı (alan, hacim ve yay uzunluğu hesabı).
Objectives of the Course
To learn basic mathematical operations, theorems and definitions which will form the basis of branch courses and to gain the ability to apply and develop them in branch courses.
Contribution of the Course to Field Teaching
Basic Vocational Courses X
Specialization / Field Courses X
Support Courses X
Transferable Skills Courses
Humanities, Communication and Management Skills Courses
Relationships between Course Learning Outcomes and Program Outcomes
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Program Learning Outcomes Level
P2 Know the applications of mathematics in engineering 5
Course Learning Outcomes
Upon the successful completion of this course, students will be able to:
No Learning Outcomes Outcome Relationship Measurement Method **
O1 Knowing engineering applications of basic mathematics knowledge and theorems P.2.2 1
** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7
Weekly Detailed Course Contents
Week Topics
1 Derivative, geometric meaning and properties
2 Derivatives of basic elementary functions.
3 Higher order derivative and differential.
4 Applications of derivative, Basic theorems related to derivative
5 Examination of functions and drawing of the graphs.
6 Indefinite integral and its properties.
7 Variable change method
8 Partial integration method
9 Integrals of rational and irrational functions.
10 Binomial integral. Integrals of trigonometric and hyperbolic functions.
11 Definite integral
12 Applications and properties of definite integral.
13 Area account
14 Volume and spring length
Textbook or Material
Resources Calculus for Engineering Students 1st Edition Fundamentals, Real Problems, and Computers, ELSEVIER, AUGUST 2020
Evaluation Method and Passing Criteria
In-Term Studies Quantity Percentage
Attendance - -
Laboratory - -
Practice - -
Homework - -
Presentation - -
Projects - -
Seminar - -
Quiz - -
Midterms - -
Final Exam 1 100 (%)
Total 100 (%)
ECTS / Working Load Table
Quantity Duration Total Work Load
Course Week Number and Time 14 3 42
Out-of-Class Study Time (Pre-study, Library, Reinforcement) 14 10 140
Midterms 0 0 0
Quiz 0 0 0
Homework 5 5 25
Practice 0 0 0
Laboratory 0 0 0
Project 0 0 0
Workshop 0 0 0
Presentation/Seminar Preparation 0 0 0
Fieldwork 0 0 0
Final Exam 1 3 3
Other 0 0 0
Total Work Load: 210
Total Work Load / 30 7
Course ECTS Credits: 7
Course - Learning Outcomes Matrix
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Learning Outcomes P2
O1 Knowing engineering applications of basic mathematics knowledge and theorems 5