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 ERSOY

Course Lecturer(s):

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
1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields.
2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems.
3) Ability to identify, formulate and solve complex engineering problems.
4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems.
5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements.
6) Ability to apply modern design methods to design a complex system, process, device or product.
7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
11) Ability to work effectively in disciplinary teams.
12) Ability to work effectively in multidisciplinary teams.
13) Individual working skills.
14) Ability to communicate effectively both orally and in writing.
15) Knowledge of at least one foreign language.
16) Effective report writing and comprehension of written reports, ability to prepare design and production reports.
17) Ability to make effective presentations, give and receive clear and understandable instructions.
18) Awareness of the necessity of lifelong learning.
19) Ability to access information, to follow developments in science and technology and to continuously renew oneself.
20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices.
21) Knowledge of business practices such as project management, risk management and change management.
22) Awareness about entrepreneurship and innovation.
23) Knowledge about sustainable development.
24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering.
25) Awareness of the legal implications of engineering solutions.

Ders - Öğrenme Kazanımı İlişkisi

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

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields.	5
2)	Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems.	4
3)	Ability to identify, formulate and solve complex engineering problems.	5
4)	Ability to select and apply appropriate analysis and modeling methods to complex engineering problems.	4
5)	The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements.
6)	Ability to apply modern design methods to design a complex system, process, device or product.
7)	Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8)	Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9)	Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10)	Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
11)	Ability to work effectively in disciplinary teams.
12)	Ability to work effectively in multidisciplinary teams.
13)	Individual working skills.
14)	Ability to communicate effectively both orally and in writing.
15)	Knowledge of at least one foreign language.
16)	Effective report writing and comprehension of written reports, ability to prepare design and production reports.
17)	Ability to make effective presentations, give and receive clear and understandable instructions.
18)	Awareness of the necessity of lifelong learning.
19)	Ability to access information, to follow developments in science and technology and to continuously renew oneself.
20)	Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices.
21)	Knowledge of business practices such as project management, risk management and change management.
22)	Awareness about entrepreneurship and innovation.
23)	Knowledge about sustainable development.
24)	Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering.
25)	Awareness of the legal implications of engineering solutions.

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