DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH)
Qualification Awarded	Program Süresi	Toplam Kredi (AKTS)	Öğretim Şekli	Yeterliliğin Düzeyi ve Öğrenme Alanı
Bachelor's (First Cycle) Degree	4	240	FULL TIME	TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 44,52

Ders Genel Tanıtım Bilgileri

Course Code:

1400121002

Ders İsmi:

Calculus II

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Labs	Credit	ECTS
4	0	0	4	6

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Other Recommended Topics for the Course:

Type of course:

Necessary

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 :

Dr.Öğr.Üyesi Seda KARATEKE

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	To gain the ability to learn basic mathematical operations, theorems and definitions, which will form the basis of branch courses, and to apply and improve them in branch courses.
Course Content:	This course covers the topics of Series and Convergence in Series, Infinite Series, Convergence Tests for Positive Series, Absolute and Conditional Convergence, Power Series, Taylor and Maclaurin Series and Applications, Plane and Line Equations and Distances, Multivariable Functions, Limit and Continuity in Multivariable Functions. covers.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Acquiring basic Mathematics knowledge, methods and techniques
2 - Skills
Cognitive - Practical
1) Understanding the relationship between Engineering and Mathematics
3 - Competences
Communication and Social Competence
Learning Competence
1) Improving mathematical abilities
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Convergence in Sequences and Series, Infinite Series	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
2)	Convergence Tests for Positive Series, Absolute and Conditional Convergence	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
3)	Power Series	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
4)	Taylor and Maclaurin Series and Applications	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
5)	Multivariable Functions	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
6)	Limit in Multivariable Functions	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
7)	Continuity in Multivariable Functions	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
8)	Midterm Exam
9)	Partial Derivative	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
10)	Higher Order Derivatives	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
11)	Chain Rule	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
12)	Extreme Values	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
13)	Double Integrals	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
14)	An overview	1-Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2- Thomas Calculus 2 3- G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005. The Fundamentals of Mathematical Analysis 4- Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
15)	Final Exam

Sources

Course Notes / Textbooks:	1-Calculus Anton-Bivens-Davis - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2-GEORGE B. THOMAS, THOMAS CALCULUS 2. 3- Öğretim üyesi ders notları.
References:	1-Calculus Anton-Bivens-Davis - Calculus: LateTranscendentals 9th Edition, Wiley 2010 2-GEORGE B. THOMAS, THOMAS CALCULUS 2. 3-Lecturer notes.

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3
Program Outcomes
1) Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.
2) Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3) Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4) Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5) Engineering Design: Ability to design creative solutions to complex engineering problems.
6) Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7) Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8) Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9) Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10) Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.
11) Research and Investigation: Ability to collect data to investigate complex engineering problems.
12) Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.
13) Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14) Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15) Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.
16) Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17) Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18) Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19) Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20) Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21) Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22) Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23) Project Management: Awareness of entrepreneurship and innovation.
24) Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Ders - Öğrenme Kazanımı İlişkisi

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

	Program Outcomes	Level of Contribution
1)	Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.	5
2)	Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3)	Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4)	Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5)	Engineering Design: Ability to design creative solutions to complex engineering problems.
6)	Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7)	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8)	Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9)	Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10)	Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.
11)	Research and Investigation: Ability to collect data to investigate complex engineering problems.
12)	Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.	4
13)	Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14)	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable	3
15)	Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.	4
16)	Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17)	Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18)	Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19)	Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20)	Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21)	Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22)	Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23)	Project Management: Awareness of entrepreneurship and innovation.
24)	Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Öğrenme Etkinliği ve Öğretme Yöntemleri

Anlatım
Beyin fırtınası /Altı şapka
Bireysel çalışma ve ödevi
Course
Soru cevap/ Tartışma
Web Tabanlı Öğrenme

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Uygulama

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
total		%
PERCENTAGE OF SEMESTER WORK		% 0
PERCENTAGE OF FINAL WORK		%
total		%

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	4	56
Application	14	4	56
Study Hours Out of Class	14	4	56
Quizzes	1	1	1
Midterms	1	1	1
Final	1	1	1
Total Workload			171