| Course Description |
|
| Course Name |
: |
Differential Equations |
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| Course Code |
: |
INS225 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
2 |
|
| Course Semester |
: |
Fall (16 Weeks) |
|
| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
Prof.Dr. MEHMET SALİH KIRKGÖZ
|
|
| Learning Outcomes of the Course |
: |
Thinks analytically in problem solving
Demonstrates ability to solve the differential equations in mathematical models concerning the basic laws employed in civil engineering
Gains mathematical background for post-graduate education
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
To teach the analitycal and numerical solutions of ordinary and partial differential equations |
|
| Course Contents |
: |
Ordinary differential equations of first order and first degree, Equations with separable variables, Homogeneous differential equations, Equations with functions of linear but nonhomogeneous, Exact differential equations, Linear equations, Differential equations of first order and higher degree, Equations of higher order, Linear equations of order n. Equations with constant coefficients, Particular solution of nonhomogeneous linear equations, Linear equations with variable coefficient, Systems of simultaneous linear equations, Partial differential equations, Numerical solution of differential equations. |
|
| Language of Instruction |
: |
Turkish |
|
| Work Place |
: |
Classroom |
|
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Basic ideas |
|
Lecture |
|
2 |
Ordinary differential equations; Equations of first order and first degree, Equations with separable variables |
Revision of previous lecture |
Lecture and problem solving |
|
3 |
Homogeneous differential equations, Equations with functions of linear but nonhomogeneous |
Revision of previous lecture |
Lecture and problem solving |
|
4 |
Differential equations in the form of y f(x,y)dx+x g(x,y)dy=0 |
Revision of previous lecture |
Lecture and problem solving |
|
5 |
Exact differential equations, Exact differential equations with integrating factors |
Revision of previous lecture |
Lecture and problem solving |
|
6 |
Linear and equations can be reduced to linear equations of first order |
Revision of previous lecture |
Lecture and problem solving |
|
7 |
Midterm exam |
|
|
|
8 |
Differential equations of first order and higher degree |
|
Lecture and problem solving |
|
9 |
Equations of higher order; Simple equations, Equations having one variable |
Revision of previous lecture |
Lecture and problem solving |
|
10 |
Linear equations of order n, Equations with constant coefficients |
Revision of previous lecture |
Lecture and problem solving |
|
11 |
Particular solution of nonhomogeneous linear equations |
Revision of previous lecture |
Lecture and problem solving |
|
12 |
Particular solution of nonhomogeneous linear equations, Solution of linear equations using Laplace transformation |
Revision of previous lecture |
Lecture and problem solving |
|
13 |
Linear equations with variable coefficients, Systems of simultaneous linear equations |
Revision of previous lecture |
Lecture and problem solving |
|
14 |
Partial differential equations |
Revision of previous lecture |
Lecture and problem solving |
|
15 |
Numerical solution of differential equations |
Revision of previous lecture |
Lecture and problem solving |
|
16/17 |
Final exam |
|
|
|
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. |
0 |
|
2 |
Identifies proper sources of information and databases, reaches them and uses them efficiently. |
1 |
|
3 |
Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. |
0 |
|
4 |
Uses the computers and information technologies related with civil engineering actively. |
0 |
|
5 |
Gains the ability to communicate effectively both orally and in writing. |
0 |
|
6 |
Communicates using technical drawing |
0 |
|
7 |
Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. |
0 |
|
8 |
Has an awareness of professional and ethical responsibility |
0 |
|
9 |
Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
0 |
|
10 |
Has the basic knowledge of math, science and civil engineering |
0 |
|
11 |
Has a good commman of basic concepts, theories and principles in civil engineering. |
3 |
|
12 |
Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions |
3 |
|
13 |
Selects and uses the modern techniques and tools necessary for engineering practice |
3 |
|
14 |
Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments |
0 |
|
15 |
Gains the abiltiy to work effectively as a member in interdisciplinary teams |
1 |
|
16 |
Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. |
0 |
|
17 |
Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements.
|
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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