Industrial Engineering
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

FEC101

Ders İsmi:

Mathematics I

Ders Yarıyılı:

Fall

Ders Kredileri:

Theoretical	Practical	Laboratory	ECTS
3	1	0	7

Language of instruction:

Turkish

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Required

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Asst. Prof. Dr. BAHAR YALÇIN KAVUŞ

Course Lecturer(s):

Asst. Prof. Dr. TOLGA KUDRET KARACA
Asst. Prof. Dr. BAHAR YALÇIN KAVUŞ
Asst. Prof. Dr. SEDA YAMAÇ AKBIYIK

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:

In addition to introducing limits, derivatives, integrals and teaching basic mathematical operations used in computer engineering courses, it also provides the ability to think analytically.

Course Content:

Limit definition, Limit taking rules, Right and left sided limits, trigonometric limit taking, limits of special functions, Indefinite shapes, Continuity, Definition of derivative, Differentiation rules, derivatives of exponential, logarithmic and trigonometric functions, Derivative of inverse functions, Derivation of implicit functions, Parametric Derivative of functions, Logarithmic Differentiation, Higher order differentiation, Applications of derivative, Geometric and physical meaning of derivative, Minimum and maximum problems, Curve plots, Definition of differential, Definition of indefinite integral and integration rules, Integration methods, Changing variables, Partial integration method , Simple fractionation method, Trigonometric integrals,

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
1) To be able to take limits of elementary functions
2) To be able to take the derivative of functions
3) To be able to use integration methods by classifying integrals
4) Solve maximum and minimum problems
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Set of Numbers, Cartesian Coordinates, Line Equations
2)	Functions and Graphs
3)	Functions and Graphs
4)	Limit and continuity
5)	Limit and Continuity
6)	Derivatives
7)	Derivatives
8)	MIDTERM
9)	Derivative Applications
10)	Multivariable Functions
11)	Functions of Several Variables, Partial Derivative
12)	Integrals
13)	Integration Techniques
14)	Integration Techniques
15)	FINAL EXAM

Sources

Course Notes / Textbooks:	Thomas' Calculus (12th Edition), G. B. Thomas, M. D. Weir, J. R. Hass,(2014) Pearson (Türkçe Çeviri)
References:	Thomas' Calculus (12th Edition), G. B. Thomas, M. D. Weir, J. R. Hass,(2014) Pearson

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3	4
Program Outcomes

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

Program Outcomes

Level of Contribution

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 50
Final	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100