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| Course Description |
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| Course Name |
: |
Calculus II |
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| Course Code |
: |
EEE104 |
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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 |
: |
Spring (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
: |
Asst.Prof.Dr. MUSTAFA KEREM ÜN
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| Learning Outcomes of the Course |
: |
Analyzes infinite series in conjuction with convergence and divergence concepts
Derives the Taylor-Maclaurin expansion of a given function.
Calculates and comments on the partial derivatives of multivariable functions.
Calculates multiple integrals, line and surface integrals
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| Mode of Delivery |
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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 student the topics of infinite series, functions of several variables, multiple integrals and integral theorems, which are the main topics of engineering mathematics, in a functional integrity. |
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| Course Contents |
: |
Integral applications, volumes and areas of surfaces of revolution, arc length. Parametric equations and curves, polar coordinates. Infinite sequences and series, convergence tests, power series, Taylor and Maclaurin series, approximation with Taylor polynomials. Functions of several variables, partial derivatives. Double and triple integrals, change of variables, integrals over polar coordinates. Surface area, line integrals, Green´s theorem, surface integrals, divergence theorem, Stokes´ theorem. |
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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 |
Integral applications, arc length, volume and surface area calculation |
|
Lecture |
|
2 |
Parametric curves |
|
Lecture |
|
3 |
Polar coordinates, polar curves |
|
Lecture |
|
4 |
Infinite series, convergence tests |
|
Lecture |
|
5 |
Convergence tests (continued) |
|
Lecture |
|
6 |
Taylor and Maclaurin expansions, Taylor approximation |
|
Lecture |
|
7 |
Introduction to multivariable functions, partial derivatives and the chain rule |
|
Lecture |
|
8 |
Review, midterm exam |
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Interactive lecture |
|
9 |
Double integrals over general regions |
|
Lecture |
|
10 |
Triple integrals, change of variables in multiple integrals |
|
Lecture |
|
11 |
Double and triple integrals in polar coordinates |
|
Lecture |
|
12 |
Surface area calculation, line integrals |
|
Lecture |
|
13 |
Surface integrals, Green´s theorem |
|
Lecture |
|
14 |
Stokes and Divergence theorems |
|
Lecture |
|
15 |
Review |
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Interactive lecture |
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16/17 |
Final Exam |
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Exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Calculus - G. Thomas
Calculus - G.Strang
Kalkülüs:Kavram ve Kapsam - J. Stewart
Calculus ve Analitik Geometri- S. Stein, A. Barcellos
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| |
| Required Course Material(s) |
Internet resources
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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 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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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 |
Has capability in those fields of mathematics and physics that form the foundations of engineering. |
5 |
|
2 |
Grasps the main knowledge in the basic topics of electrical and electronic engineering. |
4 |
|
3 |
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. |
4 |
|
4 |
Identifies problems and analyzes the identified problems based on the gathered professional knowledge. |
0 |
|
5 |
Formulates and solves a given theoretical problem using the knowledge of basic engineering. |
3 |
|
6 |
Has aptitude for computer and information technologies |
0 |
|
7 |
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English. |
2 |
|
8 |
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. |
0 |
|
9 |
Has the ability to write a computer code towards a specific purpose using a familiar programming language. |
0 |
|
10 |
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. |
1 |
|
11 |
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. |
2 |
|
12 |
Becomes able to communicate with other people with a proper style and uses an appropriate language. |
0 |
|
13 |
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. |
1 |
|
14 |
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
1 |
| * 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) |
13 |
4 |
52 |
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Out of Class Study (Preliminary Work, Practice) |
13 |
4 |
52 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
12 |
12 |
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Final Exam |
1 |
18 |
18 |
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Total Workload: | 134 |
| Total Workload / 25 (h): | 5.36 |
| ECTS Credit: | 5 |
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