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| Course Description |
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| Course Name |
: |
Applied Mathematics For Auto. Eng. |
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| Course Code |
: |
AEN201 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
|
| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
|
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| Learning Outcomes of the Course |
: |
Vector functions
Series Expansion of Functions
Line Integrals
Double Integrals (Area Integrals)
Differential Equations: Analytical Solutions
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|
| 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 |
: |
Informing engineering students of fundemental mathematical concepts found in engineering problems and showing them the basic analytical solution methods |
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| Course Contents |
: |
Series.Power Series. Taylor and MacLaurin Series. Complex Numbers. Vektor Functions. Gradient., Divergence, Laplacian Operators. Directional Derivative. Line Integrals. Area Integrals. Differential Equations: Definition and Types. First-Order Equations. Linear Equations. First-Order Partial Differential Equations. Second-Order Equations with Constant Coefficients. Laplace Transformations. |
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| Language of Instruction |
: |
English |
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| 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 |
Sequences. Series. Convergence-Divergence |
Lecture notes |
Classroom Lecture |
|
2 |
Power Series. Taylor and MAclaurin Series |
Lecture notes |
Classroom Lecture |
|
3 |
Complex Numbers |
Lecture notes |
Classroom Lecture |
|
4 |
Partial Differentiation. Chain Rule |
Lecture notes |
Classroom Lecture |
|
5 |
Vector Calculus. Gradient and Directional Derivative |
Lecture notes |
Classroom Lecture |
|
6 |
Multiple Integrals: Double Integrals |
Lecture notes |
Classroom Lecture |
|
7 |
Area Integrals using Polar Coordinates |
Lecture notes |
Classroom Lecture |
|
8 |
Divergence, Curl and Laplacian. Line Integrals |
Lecture notes |
Classroom Lecture |
|
9 |
Midterm |
|
Written exam |
|
10 |
Differential Equations (DE), First-order DE |
Lecture notes |
Classroom Lecture |
|
11 |
Linear First-order Partial DE |
Lecture notes |
Classroom Lecture |
|
12 |
Nonhomogeneous DE |
Lecture notes |
Classroom Lecture |
|
13 |
Laplace transformation
|
Lecture notes |
Classroom Lecture |
|
14 |
Second-order Linear Partial DE |
Lecture notes |
Classroom Lecture |
|
15 |
DE Applications |
Lecture notes |
Classroom Lecture |
|
16/17 |
Final Exam |
|
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Lecture notes
|
| |
| Required Course Material(s) | |
|
|
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Assessment Methods and Assessment Criteria |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
60 |
|
Homeworks/Projects/Others |
10 |
40 |
|
Total |
100 |
|
Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
|
Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Utilizes computer systems and softwares |
5 |
|
2 |
Generates solutions for the problems in other disciplines by using statistical techniques |
3 |
|
3 |
Comprehends visual, database and web programming techniques and has the ability of writing objective program |
1 |
|
4 |
Is equipped with a variety of skills and techniques in engineering. |
4 |
|
5 |
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations. |
2 |
|
6 |
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions. |
5 |
|
7 |
Leads the identification, development and usage of a product or production method. |
2 |
|
8 |
Is aware of the need for lifelong learning and self-renew |
3 |
|
9 |
Has effective oral and written English for technical or non-technical use |
5 |
|
10 |
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations. |
1 |
|
11 |
Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning. |
3 |
|
12 |
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality |
2 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
10 |
4 |
40 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
1 |
1 |
|
Final Exam |
1 |
1 |
1 |
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Total Workload: | 126 |
| Total Workload / 25 (h): | 5.04 |
| ECTS Credit: | 5 |
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