Your transaction is in progress.
Please Wait...
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Mechatronics Engineering
Course Details
Course Code Course Name Year Period Semester T+A+L Credit ECTS
99600002 Calculus I 1 Autumn 1 4+0+0 5 5
Course Type Compulsory
Course Cycle Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6)
Course Language English
Methods and Techniques -
Mode of Delivery Face to Face
Prerequisites -
Coordinator -
Instructor(s) Asst. Prof. Sümeyye BAKIM
Instructor Assistant(s) -
Course Instructor(s)
Name and Surname Room E-Mail Address Internal Meeting Hours
Asst. Prof. Sümeyye BAKIM A-130 [email protected] 7483 Wednesday
12:40-13:25
Course Content
Cartesian coordinate system, slope and right equations. Functions, limit and continuity. Derivative, derivation rules, chain rule. Change rate, L'hospital rule. Extremum values, mean value theorem. Graph drawing. Optimization problems. Indefinite integral, integration techniques. Definite integral, area, arc length and integral calculation of volumes.
Objectives of the Course
This course is a standard introductory course for basic concepts and methods of analysis and is required for all engineering students. The aim of the course is to improve the mathematics literacy and problem solving abilities of the students.
Contribution of the Course to Field Teaching
Basic Vocational Courses X
Specialization / Field Courses
Support Courses
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
P1 Adequate knowledge of mathematics, science, and Mechatronics Engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. 5
Course Learning Outcomes
Upon the successful completion of this course, students will be able to:
No Learning Outcomes Outcome Relationship Measurement Method **
O1 Ability to know basic mathematical knowledge and theorems P.1.18 1
O2 Ability to know numerical calculations and analysis P.1.20 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 Cartesian coordinate system, slope and right equations. Functions, graph of function and types of functions
2 Limit, limit rules, formal definition of limit, unilateral and infinite limits, continuity.
3 Tangents and derivatives, rules of derivation
4 Tangents and derivatives, rules of derivation
5 Derivatives of chain rule, trigonometric, logarithmic and exponential functions
6 Derivatives of chain rule, trigonometric, logarithmic and exponential functions
7 Higher order derivatives, logarithmic derivatives, derivatives of closed and parametric functions
8 Rate of change, ambiguous shapes and L`Hospital rule
9 Extremum values, Rolle and Mean value theorems
10 Asymptotes and graphic drawing, optimization problems
11 Indefinite integral, integration techniques. Definite integral
12 Basic theorem, area between curves, arc length and surface area of rotating bodies
13 Basic theorem, area between curves, arc length and surface area of rotating bodies
14 The volume of revolutions, shell method.
Textbook or Material
Resources George B.Thomas, Maurice D. Weir, Joel R.Hass, Thomas'Calculus 11th Edition
Evaluation Method and Passing Criteria
In-Term Studies Quantity Percentage
Attendance - -
Laboratory - -
Practice - -
Course Specific Internship (If Any) - -
Homework - -
Presentation - -
Projects - -
Quiz - -
Midterms 1 40 (%)
Final Exam 1 60 (%)
Total 100 (%)
ECTS / Working Load Table
Quantity Duration Total Work Load
Course Week Number and Time 14 4 56
Out-of-Class Study Time (Pre-study, Library, Reinforcement) 14 3 42
Midterms 1 20 20
Quiz 0 0 0
Homework 0 0 0
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 30 30
Other 0 0 0
Total Work Load: 148
Total Work Load / 30 4,93
Course ECTS Credits: 5
Course - Learning Outcomes Matrix
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Learning Outcomes P1
O1 Ability to know basic mathematical knowledge and theorems 5
O2 Ability to know numerical calculations and analysis 5