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| Course Description |
|
| Course Name |
: |
Engineering Mathematics II |
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| Course Code |
: |
AEN102 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
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| ECTS |
: |
4 |
|
| 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 |
: |
Recalling the effective use of students´ prior knowledge of mathematics concepts to improve their skills |
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| Course Contents |
: |
Sequences and series. Sequential convergence, arithmetic and geometric sequences. Convergence and divergence of series. Power series. Taylor and MacLaurin series. Binom series. Fourier series and applications. Complex numbers. Basic algebraic rules for complex numbers. Vector analysis. Curves and surfaces. Line integrals, calculation of work by line integrals. Gradient of scalar fields. Divergence and curl of vector fields. Existence and uniqueness of solutions. First order differential equations. Second-order differential equations with constant coefficients. Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations |
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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 |
Squences and series |
Lecture notes |
Oral presentation |
|
2 |
Sequential convergence, arithmetic and geometric sequences |
Lecture notes |
Oral presentation |
|
3 |
Convergence and divergence of series |
Lecture notes |
Oral presentation |
|
4 |
Power series |
Lecture notes |
Oral presentation |
|
5 |
Taylor and MacLaurin series |
Lecture notes |
Oral presentation |
|
6 |
Binom series |
Lecture notes |
Oral presentation |
|
7 |
Fourier series and applications |
Lecture notes |
Oral presentation |
|
8 |
Midterm examination |
|
Written examination |
|
9 |
Complex numbers |
Lecture notes |
Oral presentation |
|
10 |
Basic algebraic rules for complex numbers |
Lecture notes |
Oral presentation |
|
11 |
Vector analysis. |
Lecture notes |
Oral presentation |
|
12 |
Curves and surfaces |
Lecture notes |
Oral presentation |
|
13 |
Line integrals, calculation of work by line integrals |
Lecture notes |
Oral presentation |
|
14 |
First order differential equations. Second-order differential equations with constant coefficients. |
Lecture notes |
Oral presentation |
|
15 |
Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations |
Lecture notes |
Oral presentation |
|
16/17 |
Final examination |
|
Written examination |
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|
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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 |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
70 |
|
Homeworks/Projects/Others |
1 |
30 |
|
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 |
4 |
56 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
1 |
2 |
2 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
2 |
2 |
|
Final Exam |
1 |
2 |
2 |
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Total Workload: | 104 |
| Total Workload / 25 (h): | 4.16 |
| ECTS Credit: | 4 |
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