| Course Description |
|
| Course Name |
: |
Mathematics II |
|
| Course Code |
: |
MMD102 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
|
|
| Learning Outcomes of the Course |
: |
Converts the equations of the curves from vertical coordinates to polar coordinates.
Understands that the concept of integral is the opposite of derivative.
Calculates center of mass, volume and area by using integral.
Calculates generalized integrals
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
To help students gain the understanding of basic engineering courses and mathematical infrastructure required for vocational courses in Geological Engineering. |
|
| Course Contents |
: |
Coordinate systems, integral and trigonometric functions |
|
| Language of Instruction |
: |
Turkish |
|
| Work Place |
: |
Faculty lecture hall and department lecture rooms. |
|
|
Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Polar coordinates, graphs of some special curves |
Read the relevant chapter in the book and discussion |
Lecture |
|
2 |
Definition of the indefinite integral, computing indefinite integrals |
Read the relevant chapter in the book and discussion |
Lecture |
|
3 |
Substitution rule, integration by parts |
Read the relevant chapter in the book and discussion |
Lecture |
|
4 |
Integration by partial fractions |
Read the relevant chapter in the book and discussion |
Lecture |
|
5 |
Trigonometric integrals |
Read the relevant chapter in the book and discussion |
Lecture |
|
6 |
Integration by trigonometric transformation |
Read the relevant chapter in the book and discussion |
Lecture |
|
7 |
Definite integral |
Read the relevant chapter in the book and discussion |
Lecture |
|
8 |
Midterm exam |
Midterm exam |
Midterm exam |
|
9 |
Finding the area, volume by the use of definite integrals |
Read the relevant chapter in the book and discussion |
Lecture |
|
10 |
Finding arc length and surface area by the use of definite integrals |
Read the relevant chapter in the book and discussion |
Lecture |
|
11 |
Finding the coordinates of the center of mass |
Read the relevant chapter in the book and discussion |
Lecture |
|
12 |
Pappus´s theorem and its application |
Read the relevant chapter in the book and discussion |
Lecture |
|
13 |
Generalized integral |
Read the relevant chapter in the book and discussion |
Lecture |
|
14 |
Generalized integral |
Read the relevant chapter in the book and discussion |
Lecture |
|
15 |
Final exam |
Final exam |
Final exam |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches |
4 |
|
2 |
Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves |
4 |
|
3 |
Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions |
5 |
|
4 |
Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems |
5 |
|
5 |
Students design and carry out experiments, collect data, analyze and interpret the results. |
5 |
|
6 |
Students gain the capacity to analyze a system, a component, and desing the process under realistic constraints to meet the desired requirements; and the ability to apply the methods of modern design accordingly |
4 |
|
7 |
Students choose and use the modern technical tools necessary for engineering practice. |
4 |
|
8 |
Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. |
5 |
|
9 |
Students use the resources of information and databases for the purpose of doing research and accesing information. |
5 |
|
10 |
Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. |
4 |
|
11 |
Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. |
4 |
|
12 |
Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. |
3 |
|
13 |
Students gain the ability to communicate using technical drawing. |
1 |
|
14 |
Students become informed of professional and ethical responsibility. |
5 |
|
15 |
Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
3 |
|
16 |
Students develop an awareness of the universal and social effects of engineering solutions and applications, the entrepreneurship and innovation subjects and gain knowledge of contemporary issues |
5 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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