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| Course Description |
|
| Course Name |
: |
Engineering Mathematics II |
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| Course Code |
: |
ME 152 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
Prof.Dr. VEBİL YILDIRIM
|
|
| Learning Outcomes of the Course |
: |
Knowledge of application of mathematics, science and engineering.
Ability to identify, formulate, and solve engineering problems
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
Explanation of the physical and mathematical meaning of derivative and integral |
|
| Course Contents |
: |
Applications of definite integral; 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. |
|
| 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 |
Definite Integral and Its Applications (Area) |
References |
Lecture, Application |
|
2 |
Integral Applications (Volume, Arc Length, Surface Area, Momentum ...) |
References |
Lecture, Application |
|
3 |
Polar Coordinates and Parametric Systems |
References |
Lecture, Application |
|
4 |
Polar Coordinate System (Area, Arc Length, Surface Area) |
References |
Lecture, Application |
|
5 |
generalized integrals |
References |
Lecture, Application |
|
6 |
Midterm Exam |
|
|
|
7 |
Vectors, Matrices |
References |
Lecture, Application |
|
8 |
Determinants |
References |
Lecture, Application |
|
9 |
Solving Systems of Linear Equation |
References |
Lecture, Application |
|
10 |
Homogeneous Linear Equation Systems |
References |
Lecture, Application |
|
11 |
Eigenvalues and Eigenvectors |
References |
Lecture, Application |
|
12 |
Midterm Exam |
|
|
|
13 |
Lines and Planes in Space |
References |
Lecture, Application |
|
14 |
Transformation of coordinate axes |
References |
Lecture, Application |
|
15 |
Multiple Integrals and Applications |
References |
Lecture, Application |
|
16/17 |
Final Exam |
|
|
|
|
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Calculus and Analytic Geometry (Sherman K. STEIN, Anthhony BARCELLOS,McGraw-Hill, Inc.)
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| |
| Required Course Material(s) | |
|
|
|
Assessment Methods and Assessment Criteria |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
2 |
100 |
|
Homeworks/Projects/Others |
0 |
0 |
|
Total |
100 |
|
Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
|
Rate of Final Assessments to Success
|
60 |
|
Total |
100 |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Students gain a command of basic concepts, theories and principles in mechanical engineering |
5 |
|
2 |
Student become equipped with the basic knowledge of math, science and engineering |
5 |
|
3 |
Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments |
5 |
|
4 |
Students become equipped with a variety of skills and knowledge regarding engineering techniques |
5 |
|
5 |
Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. |
5 |
|
6 |
Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique |
5 |
|
7 |
Students take initiative in identification, design, development and use of a product or production process. |
5 |
|
8 |
Students become aware of the necessity of lifelong learning and continuously self-renew |
5 |
|
9 |
Students use English effectively for technical or non-technical topics orally or in wirtten form. |
4 |
|
10 |
Students become effective in using computer, computer-aided drafting, design, analysis, and presentation |
4 |
|
11 |
Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team |
5 |
|
12 |
Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative |
5 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
|
|
| 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 |
0 |
0 |
0 |
|
Mid-term Exams (Written, Oral, etc.) |
2 |
10 |
20 |
|
Final Exam |
1 |
10 |
10 |
|
Total Workload: | 114 |
| Total Workload / 25 (h): | 4.56 |
| ECTS Credit: | 5 |
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