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

General Introduction Information of the Course

Course Code: MATH102
Ders İsmi: Matematik II
Ders Yarıyılı: Spring
Ders Kredileri:
Theoretical Practical Credit ECTS
3 2 4 7
Language of instruction: TR
Ders Koşulu:
Ders İş Deneyimini Gerektiriyor mu?: No
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 : Prof. Dr. Fatma KANCA
Course Lecturer(s):







Course Assistants:

Course Objectives and Content

Course Objectives: To provide basic knowledge of mathematics for engineers, to develop analytical thinking skills while developing the necessary mathematical skills and skills
Course Content: Infinite Sequences, Infinite Series, Parametric Equations and Polar Coordinates, Vectors, Vector-Valued Functions, Functions of Several Variables, Partial Derivatives, Double Integrals

Learning Outcomes

The students who have succeeded in this course;
Learning Outcomes
1 - Knowledge
Theoretical - Conceptual
1) Find partial derivatives of functions of several variables.
2 - Skills
Cognitive - Practical
1) Determine the convergence of the sequences and series.
2) Find the interval of convergence of power series and set the representations of the power series of the functions.
3) Use vector algebra in 3d-space and in plane.
4) Make optimization of functions of several variables.
5) Evaluate double integrals and applying double integrals for computing of area and volume.
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Course Weekly Plan

Week Subject Related Preparation
1) Infinite Sequences Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 10)
2) Infinite Series Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 10)
3) Infinite Series Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 10)
4) Infinite Series: Power Series, Taylor and Maclaurin Series Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 10)
5) Vectors Thomas Kalkülüs Cilt:2,George B. Thomas, Maurice D. Weir, Joel R. Hass ,and F. R. Giordano, Addison-Wesley (Chapter 12,13)
6) Vektors Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 12,13)
7) Vector-Valued Functions Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 12,13)
8) Midterm Exam -
9) Functions of Several Variables Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 14)
10) Partial Derivatives Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 14)
11) Partial Derivatives Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 14)
12) Applications of Partial Derivatives Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 14)
13) Double Integrals Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 15)
14) Integrals in Vector Fields Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 16)
15) Integrals in Vector Fields Thomas’ Calculus, 12th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley, (Chapter 16)
16) Final Exam

Sources

Course Notes / Textbooks: Thomas Kalkülüs (cilt 1-2) ,George B. Thomas ,Maurica D. Weir Joel R. Hass , Çeviri Editörü Mustafa Bayram , 2011, Ankara .
References: Calculus, Howard Anton, Irl Bivens, Stephen Davis, Wiley.

Relationship Between Course and Program Learning Outcomes

Course Learning Outcomes

1

2

3

5

6

4
Program Outcomes
1) It has sufficient infrastructure in mathematics, science and engineering related to its branches.
2) Uses mathematics, science and theoretical and applied knowledge in their fields together for engineering solutions
3) Identifies, defines, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose.
4) Analyzes a system, system component or process and designs it under realistic constraints to meet desired requirements; applies modern design methods accordingly.
5) Selects and uses modern techniques and tools required for engineering applications.
6) Be aware of the universal and social effects of engineering solutions and applications; Be aware of entrepreneurship and innovation issues and have knowledge about contemporary problems.
7) Uses technical drawing skills effectively in design and application.
8) Selects and uses up-to-date techniques and tools in technology.
9) It conducts experiments, analyzes and interprets the results of the experiment and applies them to improve experimental results.
10) Works effectively both individually and in multidisciplinary teams.
11) It accesses information and conducts resource research for this purpose, uses databases and other information resources.
12) It is aware of the necessity of lifelong learning; follows the developments in science and technology and renews itself continuously.
13) Has professional and ethical responsibility.
14) Observes environmental and work safety issues in professional practices
15) Consciously manage written, verbal, visual communication and interaction by integrating quantitative and qualitative data, and have the ability to influence their social circle.
16) Critically evaluate the knowledge and skills, norms and standards acquired in the field.
17) Gain the competence of resolving, evaluating, criticizing, managing with peaceful methods, and offering opinions and solutions to disagreements and conflicts.
18) Work independently, take initiative, take responsibilities and make decisions.
19) Know how to work together, take duties and responsibilities, and lead the team when necessary.
20) Follow digital transformation and use information and communication technologies competently.
21) Gain the awareness of lifelong learning, manage personal and social learning.
22) Think strategically and innovatively in related fields as well as in their social circle, and act with an entrepreneurial approach.
23) Gain awareness of social rights, ethical and social responsibility.
24) Accept cultural diversity as a value and support strengthening social consciousness.
25) Gain communication competence in English at least A2 level in line with the European Language Framework (Communication competence in English is at least B1 level in programs where medium of instruction is English).

Relationship Between Course and Learning Outcome

No Effect 1 Lowest 2 Low 3 Medium 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) It has sufficient infrastructure in mathematics, science and engineering related to its branches. 5
2) Uses mathematics, science and theoretical and applied knowledge in their fields together for engineering solutions 5
3) Identifies, defines, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. 4
4) Analyzes a system, system component or process and designs it under realistic constraints to meet desired requirements; applies modern design methods accordingly. 4
5) Selects and uses modern techniques and tools required for engineering applications.
6) Be aware of the universal and social effects of engineering solutions and applications; Be aware of entrepreneurship and innovation issues and have knowledge about contemporary problems.
7) Uses technical drawing skills effectively in design and application.
8) Selects and uses up-to-date techniques and tools in technology.
9) It conducts experiments, analyzes and interprets the results of the experiment and applies them to improve experimental results. 1
10) Works effectively both individually and in multidisciplinary teams.
11) It accesses information and conducts resource research for this purpose, uses databases and other information resources.
12) It is aware of the necessity of lifelong learning; follows the developments in science and technology and renews itself continuously.
13) Has professional and ethical responsibility.
14) Observes environmental and work safety issues in professional practices
15) Consciously manage written, verbal, visual communication and interaction by integrating quantitative and qualitative data, and have the ability to influence their social circle.
16) Critically evaluate the knowledge and skills, norms and standards acquired in the field.
17) Gain the competence of resolving, evaluating, criticizing, managing with peaceful methods, and offering opinions and solutions to disagreements and conflicts.
18) Work independently, take initiative, take responsibilities and make decisions.
19) Know how to work together, take duties and responsibilities, and lead the team when necessary.
20) Follow digital transformation and use information and communication technologies competently.
21) Gain the awareness of lifelong learning, manage personal and social learning.
22) Think strategically and innovatively in related fields as well as in their social circle, and act with an entrepreneurial approach.
23) Gain awareness of social rights, ethical and social responsibility.
24) Accept cultural diversity as a value and support strengthening social consciousness.
25) Gain communication competence in English at least A2 level in line with the European Language Framework (Communication competence in English is at least B1 level in programs where medium of instruction is English).

Learning Activities and Teaching Methods

Anlatım
Individual study and homework
Course
Homework
Problem Çözme
Soru cevap/ Tartışma

Assessment and Evaluation Methods and Criteria

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

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Quizzes 2 % 20
Midterms 1 % 30
Final 1 % 50
total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
total % 100

Workload and ECTS Credit Calculation

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 5 70
Study Hours Out of Class 14 1 14
Homework Assignments 5 2 10
Quizzes 4 6 24
Midterms 1 25 25
Final 1 30 30
Total Workload 173