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| Course Description |
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| Course Name |
: |
Mathematics for Engineers |
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| Course Code |
: |
J 215 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
3 |
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| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. KAMURAN TARIM GÖZÜBATIK
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| Learning Outcomes of the Course |
: |
Calculates the partial derivatives.
Calculates the double integral over a planar area and the trple integral over a region of corporal.
Makes physical applications such as volume, center of gravity or inertia moment of an object with the help of multiple integral.
Explains solution techniques of I.and II. differential equations and finds out the age of fossils by using radiocarbon.
Solves some engineering problems such as increase and decrease, mixture and temperature problems.
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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 |
: |
To teach the mathematical background for basic engineering and geological courses, the introduction of differential equations,the solution implementations and the engineering applications. |
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| Course Contents |
: |
Limits, derivatives, integrals, diferential equations and solution implementations. |
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| Language of Instruction |
: |
Turkish |
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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 |
Descriptions of functions of several variables, limits and continuity. |
Reading the related subject (pages 849-856; 858-863) |
Lecture |
|
2 |
Partial derivatives and applications |
Reading the related subject (pages 863-869) |
Lecture |
|
3 |
Definite integral over a planar area at the vertical coordinates |
Reading the related subject (pages 943-952; 953-960) |
Lecture |
|
4 |
Definite integral over a planar area at the polar coordinates |
Reading the related subject (pages 968-972) |
Lecture |
|
5 |
Definite integral over an object at the cylindiric and spherical coordinates |
Reading the related subject (pages |
Lecture |
|
6 |
Solution methods of Separeble and homogeneous Diferential equations |
Reading the related subject (pages 976-984) |
Lecture |
|
7 |
Solution methods of exact differential equations |
Reading the related subject (pages 52-62) |
Lecture |
|
8 |
Mid-term exam |
Exam preparation |
Written exam |
|
9 |
Solution methods of Linear and Bernoulli differential equations |
Reading the related subject (pages 46-52) |
Lecture |
|
10 |
Physical and engineeing applications of differential equations of the first order. |
Reading the related subject (chapter problems ) |
Lecture |
|
11 |
Higher order of differential equations I |
Reading the related subject (pages 98-100) |
Lecture |
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12 |
Solution methods of differential equations of the III. order. |
Reading the related subject (pages 112-118) |
Lecture |
|
13 |
Methods of undetermined coefficient |
Reading the related subject (pages 118-122) |
Lecture |
|
14 |
Physical and engineeing applications of differential equations of the II. order. |
Reading the related subject (chapter problems ) |
Lecture |
|
15 |
Application examples |
Reading the related subject (chapter problems ) |
Lecture |
|
16/17 |
Final exam |
Exam Preparation |
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Calculus ve Analitik Geometri II. Cilt, SHERMAN K. STEIN, ANTHONY McGraw-Hill Inc., London, U.K., 1992
Theory of differntial equations, Prof.Dr. Elman HASANOV, Prof.Dr. Gökhan UZGÖREN, Prof.Dr. Alinur BÜYÜKAKSOY, 2002 (In Turkish).
Schaum’s Outline Differansiyel Equations, McGraw-Hill Inc., London, U.K., 1992.
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| |
| Required Course Material(s) |
General Mathematics, Prof.Dr. Mustafa BALCI, (In Turkish) 2008.
Analize Giriş II, Prof.Dr.Fikri AKDENİZ, Prof.Dr. Yusuf ÜNLÜ, Prof.Dr. Doğan DÖNMEZ, Baki Kitabevi 1999 (In Turkish)
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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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 |
Thinks, interprets, analyzes and synthesizes geological events in 3D. |
0 |
|
2 |
Chooses and applies necessary methods and instruments for engineering applications |
2 |
|
3 |
Uses the information technology effectively. |
3 |
|
4 |
Designs and performs experiments, collects data and interprets the results. |
2 |
|
5 |
Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups |
0 |
|
6 |
Investigates to obtain scientific information, and uses data bases and other data sources actively. |
4 |
|
7 |
Has an awareness of life long learning; follows developments in science and technology to keep up to date |
0 |
|
8 |
Uses Fundamental Geological information, having necessary information in Mathematical and Natural sciences and employs theoretical and applied information in these areas in engineering solutions. |
4 |
|
9 |
Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications |
0 |
|
10 |
Knows the universal and societal effects of engineering solutions and applications. |
4 |
|
11 |
Has an awareness of entrepreneuring and innovative subjects; knows and finds solutions for the new century |
0 |
|
12 |
Identifies, formulizes and solves geological problems. |
3 |
|
13 |
Realizes the social effects of identified solutions for geological problems. |
1 |
|
14 |
Identifies, defines, formulizes and solves engineering problems. Chooses and applies the appropriate analytical and modelling techniques for this purpose. |
4 |
|
15 |
Investigates and reports all kinds of natural resources and geological hazards |
0 |
|
16 |
Initiates effective interactions in Turkish both orally and in written form, and speaks at least one foreign language |
4 |
|
17 |
Uses necessary techniques and instruments for geological applications |
0 |
|
18 |
Identifies rock types, draws geological maps and cross sections. |
0 |
|
19 |
Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. |
0 |
| * 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 |
2 |
26 |
|
Out of Class Study (Preliminary Work, Practice) |
13 |
1 |
13 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
15 |
15 |
|
Final Exam |
1 |
15 |
15 |
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Total Workload: | 69 |
| Total Workload / 25 (h): | 2.76 |
| ECTS Credit: | 3 |
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