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

Ders Genel Tanıtım Bilgileri

Course Code:

FEC102

Ders İsmi:

Math II

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Laboratory	ECTS
3	1	0	7

Language of instruction:

Turkish

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Yes

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 :

Assoc. Prof. Dr. MERVE TEMİZER ERSOY

Course Lecturer(s):

Asst. Prof. Dr. BAHAR YALÇIN KAVUŞ
Asst. Prof. Dr. SEDA YAMAÇ AKBIYIK

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:

It is to gain the ability to learn basic mathematical operations, theorems and definitions, which will be the basis in branch courses, and to apply and develop them in branch courses.

Course Content:

This course covers Area Calculation with Definite Integrals, Volume Calculation with Definite Integrals, Convergence in Sequences and Sequences, Infinite Series, Convergence Tests for Positive Series, Absolute and Conditional Convergence, Power Series, Taylor and Maclaurin Series and Applications, Multivariable Functions, Multivariable Functions. It covers the topics of Limits and Continuity in Functions, Double Integrals.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) To be able to calculate area and volume for definite integrals
2) To be able to find the convergence of sequences and series.
2 - Skills
Cognitive - Practical
1) To be able to calculate partial derivatives in multivariable functions
2) To be able to calculate double integrals.
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)	Calculating area with definite integral	Lecture Notes
2)	Calculating valume with definite integral	Lecture Notes
3)	Sequences and Convergence in Sequences	Lecture Notes
4)	Infinite Series	Lecture Notes
5)	Convergence Tests for Positive Series, Absolute and Conditional Convergence	Lecture Notes
6)	Power Series	Lecture Notes
7)	Taylor and Maclaurin Series and Applications	Lecture Notes
8)	Mid term	Lecture Notes
9)	Functions of Multivariables, Limits and Continuity of Functions of Multivariables	Lecture Notes
10)	Linear Approximations, Differentiability, and Derivatives, Gradients and Direction Derivatives	Lecture Notes
10)	Partial Derivative, Higher Order Derivatives, Chain Rule	Lecture Notes
12)	Implicit Functions, Extreme Values	Lecture Notes
13)	Double Integrals	Lecture Notes
14)	Double Integrals	Lecture Notes
15)	Final

Sources

Course Notes / Textbooks:

Calculus, R. A. Adams and C. Essex, 7th Edition, Addison Wesley

References:

Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010
Thomas Calculus

G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano
Pearson Education Inc., 2005
.The Fundamentals of Mathematical Analysis
Matematik Analiz 3-4 Doç. Dr. Cevdet Cerit
Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
Genel Matematik 2: Prof. Dr. Mustafa BALCI .
Temel ve Genel Matematik –H. Hilmi Hacısalihoğlu-Mustafa Balcı-Fikri Gökdal

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