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Information
| Code | JZ225 |
| Name | Engineering Mathematics |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ |
Course Goal
To teach the mathematical background for basic engineering and geological courses, the introduction of differential equations,the solution implementations and the engineering applications.
Course Content
Limits, derivatives, integrals, diferential equations and solution implementations.
Course Precondition
There are no prerequisites for this course.
Resources
Mathematical Methods in Engineering Seçkin Yayıncılık Prof. Dr. Emine Öztürk
Notes
Mathematical Methods in Physics and Engineering
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Calculates the partial derivatives. |
| LO02 | Calculates the double integral over a planar area and the trple integral over a region of corporal. |
| LO03 | Makes physical applications such as volume, center of gravity or inertia moment of an object with the help of multiple integral. |
| LO04 | Explains solution techniques of I.and II. differential equations and finds out the age of fossils by using radiocarbon. |
| LO05 | Solves some engineering problems such as increase and decrease, mixture and temperature problems. |
| LO06 | Knows Solution methods of Separeble and homogeneous Diferential equations |
| LO07 | Knows Solution methods of exact differential equations |
| LO08 | Knows Lineer ve Bernoulli Diferensiyel Denklemlerin Çözüm Yöntemleri, |
| LO09 | Can make Physical and engineeing applications of differential equations of the first order. |
| LO10 | Learn Higher order of differential equations |
| LO11 | Knows Solution methods of differential equations of the II. order. |
| LO12 | Learn Methods of undetermined coefficient. |
| LO13 | Can make Physical and engineeing applications of differential equations of the II. order. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient background in basic geological knowledge, mathematics and science related subjects. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Designs and performs experiments, collects data and interprets the results. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Realizes the social effects of identified solutions for geological problems. | 2 |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Searches for underground and aboveground natural resources | |
| PLO05 | Yetkinlikler - Alana Özgü Yetkinlik | Chooses and applies necessary methods and instruments for engineering applications. | 5 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups | 4 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Has an awareness of life long learning; follows developments in science and technology to keep up to date | |
| PLO08 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Entrepreneurship has knowledge about innovation issues and the problems of the age. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Recognizes and solves geological and engineering problems. | 5 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Thinks, interprets, analyzes and synthesizes geological events in 3D. | 5 |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Knows the formation of rocks, rock types, minerals. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Has an awareness of life long learning; follows developments in science and technology to keep up to date | |
| PLO15 | Yetkinlikler - Alana Özgü Yetkinlik | Draws maps and extracts geological sections by using necessary techniques and tools for geological applications. | |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | Investigates and reports all kinds of natural resources and geological hazards | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Descriptions of functions of several variables, limits and continuity. | Reading the related subject (pages 849-856; 858-863) | Öğretim Yöntemleri: Soru-Cevap |
| 2 | Partial derivatives and applications | Reading the related subject (pages 863-869) | Öğretim Yöntemleri: Soru-Cevap |
| 3 | Definite integral over a planar area at the vertical coordinates | Reading the related subject (pages 943-952; 953-960) | Öğretim Yöntemleri: Soru-Cevap |
| 4 | Definite integral over a planar area at the polar coordinates | Reading the related subject (pages 968-972) | Öğretim Yöntemleri: Soru-Cevap |
| 5 | Definite integral over an object at the cylindiric and spherical coordinates | Reading the related subject (pages 976-984) | Öğretim Yöntemleri: Soru-Cevap |
| 6 | Solution methods of Separeble and homogeneous Diferential equations | Reading the related subject (pages 39-45) | Öğretim Yöntemleri: Soru-Cevap |
| 7 | Solution methods of exact differential equations | Reading the related subject (pages 52-62) | Öğretim Yöntemleri: Soru-Cevap |
| 8 | Mid-Term Exam | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Solution methods of Linear and Bernoulli differential equations | Reading the related subject (pages 46-52) | Öğretim Yöntemleri: Soru-Cevap |
| 10 | Physical and engineeing applications of differential equations of the first order. | Reading the related subject (chapter problems ) | Öğretim Yöntemleri: Soru-Cevap |
| 11 | Higher order of differential equations I | Reading the related subject (pages 98-100) | Öğretim Yöntemleri: Soru-Cevap |
| 12 | Solution methods of differential equations of the III. order. | Reading the related subject (pages 112-118) | Öğretim Yöntemleri: Anlatım |
| 13 | Methods of undetermined coefficient | Reading the related subject (pages 118-122) | Öğretim Yöntemleri: Anlatım |
| 14 | Physical and engineeing applications of differential equations of the II. order. | Reading the related subject (chapter problems ) | Öğretim Yöntemleri: Anlatım |
| 15 | Application examples | Reading the related subject (chapter problems ) | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | 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.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||