JZ225 Engineering Mathematics

5 ECTS - 3-0 Duration (T+A)- 3. Semester- 3 National Credit

Information

Code JZ225
Name Engineering Mathematics
Term 2023-2024 Academic Year
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 Instructor Doç. Dr. DOĞAN KAYA (A Group) (Ins. in Charge)


Course Goal / Objective

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

Update Time: 05.05.2023 01:44