Civil Engineering | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT216 | ||||||||
Course Name: | Matematik IV | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
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Language of instruction: | |||||||||
Course Requisites: |
MAT114 - Matematik II |
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Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Prof. Dr. İBRAHİM ALİNUR BÜYÜKAKSOY |
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Course Assistants: |
Course Objectives: | The aim of this course is to gain basic knowledge and abilities about classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods to the students. |
Course Content: | This course will investigate classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Some Basic Mathematical Models; Direction Fields Classification of Differential Equations | Lecture Notes |
2) | First Order Differential Equations | Lecture Notes |
3) | First Order Differential Equations | Lecture Notes |
4) | Higher Order Linear Equations | Lecture Notes |
5) | Higher Order Linear Equations | Lecture Notes |
6) | The Laplace Transformation | Lecture Notes |
7) | The Laplace Transform | Lecture Notes |
8) | The Laplace Transform | Lecture Notes |
9) | ||
10) | Systems of First Order Linear Differential Equations | Lecture Notes |
11) | Systems of First Order Linear Differential Equations | Lecture Notes |
12) | Systems of First Order Linear Differential Equations | Lecture Notes |
13) | Systems of First Order Linear Differential Equations | Lecture Notes |
14) | Systems of First Order Linear Differential Equations | Lecture Notes |
Course Notes / Textbooks: | Elementary Differential Equations and Boundary Value Problems, 10th Edition with WileyPlus Card William E. Boyce, Richard C. DiPrima John Wiley & Sons Pte Ltd |
References: | Lecture Notes Ders notları |
Learning Outcomes | 1 |
2 |
3 |
4 |
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Program Outcomes | ||||||||||
1) Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. | ||||||||||
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | ||||||||||
3) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety isuues, and social and political issues according to the nature of the design.) | ||||||||||
4) Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. | ||||||||||
5) Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems. | ||||||||||
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||||||
7) Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language. | ||||||||||
8) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | ||||||||||
9) Awareness of professional and ethical responsibility. | ||||||||||
10) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | ||||||||||
11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. | 5 |
2) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | |
3) | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety isuues, and social and political issues according to the nature of the design.) | |
4) | Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. | |
5) | Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems. | |
6) | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
7) | Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language. | |
8) | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
9) | Awareness of professional and ethical responsibility. | |
10) | Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
11) | Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. |
Lesson | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 2 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Study Hours Out of Class | 15 | 4 | 60 |
Midterms | 2 | 15 | 30 |
Final | 1 | 20 | 20 |
Total Workload | 170 |