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| Course Description |
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| Course Name |
: |
Engineering Mathematics I |
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| Course Code |
: |
AEN151 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
: |
|
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| Learning Outcomes of the Course |
: |
Acquires analytical thinking ability and improves skills by using mathematical concepts
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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 |
: |
This course aims to improve the students´ skills for using concepts effectively by recalling their prior knowledge of mathematics. |
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| Course Contents |
: |
Concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives. Applications of definite integrals; area, volume and centroid calculations. Polar coordinates. Vectors, matrices (definition, types, sum and multiplication). Law of determinants and their calculations. Linear equations and their solutions. Lines and planes in space. Transformation of coordinate axes. Multiple integrals and their uses |
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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 |
Concept of function |
Lecture notes |
Oral presentation |
|
2 |
Limit |
Lecture notes |
Oral presentation |
|
3 |
Continuity |
Lecture notes |
Oral presentation |
|
4 |
Derivatives |
Lecture notes |
Oral presentation |
|
5 |
Definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points) |
Lecture notes |
Oral presentation |
|
6 |
Introduction to exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives |
Lecture notes |
Oral presentation |
|
7 |
Applications of definite integrals; area, volume and centroid calculations |
Lecture notes |
Oral presentation |
|
8 |
Midterm examination |
|
Written examination |
|
9 |
Polar coordinates |
Lecture notes |
Oral presentation |
|
10 |
Vectors, matrices (definition, types, sum and multiplication) |
Lecture notes |
Oral presentation |
|
11 |
Law of determinants and their calculations |
Lecture notes |
Oral presentation |
|
12 |
Linear equations and their solutions |
Lecture notes |
|
|
13 |
Lines and planes in space |
Lecture notes |
Oral presentation |
|
14 |
Transformation of coordinate axes |
Lecture notes |
Oral presentation |
|
15 |
Multiple integrals and their uses |
Lecture notes |
Oral presentation |
|
16/17 |
Final examination |
|
Written examination |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Calculus: William E. Boyce, Richard C. DePrima
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| |
| Required Course Material(s) | |
|
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
70 |
|
Homeworks/Projects/Others |
1 |
30 |
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Total |
100 |
|
Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
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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 |
3 |
|
2 |
Generates solutions for the problems in other disciplines by using statistical techniques |
4 |
|
3 |
Comprehends visual, database and web programming techniques and has the ability of writing objective program |
2 |
|
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. |
3 |
|
6 |
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions. |
4 |
|
7 |
Leads the identification, development and usage of a product or production method. |
3 |
|
8 |
Is aware of the need for lifelong learning and self-renew |
4 |
|
9 |
Has effective oral and written English for technical or non-technical use |
4 |
|
10 |
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations. |
2 |
|
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. |
4 |
|
12 |
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality |
5 |
| * 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 |
5 |
70 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
1 |
2 |
2 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
2 |
2 |
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Final Exam |
1 |
2 |
2 |
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Total Workload: | 118 |
| Total Workload / 25 (h): | 4.72 |
| ECTS Credit: | 5 |
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