TYP202 Engineering Mathematics

5 ECTS - 3-0 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code TYP202
Name Engineering Mathematics
Term 2024-2025 Academic Year
Semester 4. 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 Prof. Dr. MAHMUT ÇETİN
Course Instructor
1 2
Prof. Dr. MAHMUT ÇETİN (A Group) (Ins. in Charge)


Course Goal / Objective

To enable students to gain analytical thinking skill by teaching the ways to solve engineering problems to be encountered in real life and deepening knowledge

Course Content

Matrix algebra, solving systems of linear equations, numerical integration, series approximation, numerical root finding

Course Precondition

There is no prerequisite for enrolling to this course.

Resources

1. Chapra, S. C., R. P., Conale, 1998. Numerical Methods for Engineers with Programming and Software. McGraw-Hill International Editions, 924 p. 2. Goldstein, L. J., Lay, D. C., Schneider, D. I., 1996. Calculus and Its Applications. Prentice-Hall International Editions, 795 p. 3. Hoffman, J. D., 1993. Numerical Methods for Engineers and Scientists. McGraw-Hill International Editions, 825 p. 4. James, G., Searl, J., Wright, J., 1996. Modern Engineering Mathematics. Addison-Wesley Publishing Company, 954 p. 5. Jeffrey, A., 1995. Essentials of Engineering Mathematics: Worked Examples and Problems. Chapman and Hall, Inc., 825 p. 6. Karadeniz, A., 1996. Yüksek Matematik Problemleri. Çağlayan Kitabevi, İstanbul. 7. Karadeniz, A., 1997. Yüksek Matematik. Cilt 1-3, Çağlayan Kitabevi, İstanbul. 8. Pekol, S., Demirseren, 1975. Diferansiyel Denklemler, Uygulamalrı ve Çözüm Tekniği. Çağlayan Kitabevi, İstanbul, 436 s. (Spiegel, M., 1967. Applied differential Equations isimli yayının Türkçe Çevirisi). 9. Rabenstein, A. L., 1975. Elementary Differential Equations with Linear Algebra. Academic Press, Inc., 374 p. 10. Spiegel, M., 1967. Applied differential Equations. Second Edition, Prentice-Hall, Inc., USA, 412 p.

Notes

Supplementary materials uploaded to ÇUBIS web site.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Gains the capability to define engineering problems.
LO02 Develops the skils for analitical thinking and synthesising
LO03 Formulates a problem mathematically.
LO04 Analyses alternative solving techniques and chooses the optimal solution.
LO05 Evaluates the solution obtained; compares the solution by making synthesis and proves the solution if it is corect or not.
LO06 Symbolize any oral statement mathematically by using universally accepted symbols.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports 1
PLO02 Bilgi - Kuramsal, Olgusal Developes and implements strategies for wastewater, drainage water, runoff water such as treated waste water re-use of non-conventional water without adversely affecting the environment, makes laboratory analysis about saline alkali soils and water suitability to irrigation and reports. 3
PLO03 Bilgi - Kuramsal, Olgusal Prepares project about soil and water structures, animal houses, storage structures and crop production structures. Analyzes in terms of static and strength. Determines the properties of materials used in construction and makes the relevant tests. 2
PLO04 Bilgi - Kuramsal, Olgusal Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report.
PLO05 Bilgi - Kuramsal, Olgusal Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management. 2
PLO06 Bilgi - Kuramsal, Olgusal Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production.
PLO07 Bilgi - Kuramsal, Olgusal Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties
PLO08 Bilgi - Kuramsal, Olgusal Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects.
PLO09 Bilgi - Kuramsal, Olgusal Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project.
PLO10 Bilgi - Kuramsal, Olgusal Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report
PLO11 Bilgi - Kuramsal, Olgusal Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks.
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Works independently and takes responsibility 3
PLO13 Beceriler - Bilişsel, Uygulamalı Has the ability to design and apply analytical, modelling and experimental researches,and acquires the skill of analyzing and interpreting the complex issiues occured during this process .
PLO14 Beceriler - Bilişsel, Uygulamalı Creates effective solutions for sustainable agricultural production
PLO15 Yetkinlikler - Öğrenme Yetkinliği Accesses to the resources in the field, uses of these resources and continuous self-improvement
PLO16 Yetkinlikler - Alana Özgü Yetkinlik Developes projects to protect natural resources like water,and offers the benefit to society, using the information of basic engineering, basic agricultural engineering and agricultural structures and irrigation engineering . 5
PLO17 Yetkinlikler - Alana Özgü Yetkinlik Has the ability to analyze problems ,make decisions and solve about professional subjects


Week Plan

Week Topic Preparation Methods
1 Introduction to matrix algebra: Some fundemental definitions, notations, vectors Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
2 Unit matrix, scalar matrix; addition, scalar multiplication and transposition-1. Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Problem Çözme
3 Inverse and traspose of square matrices; elemanter row and column operations-2. Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma
4 Determinants of square matrices Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma, Problem Çözme
5 Systems of linear equations Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma, Proje Temelli Öğrenme
6 Definition of rank; solving linear equations with matrix algebra Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
7 Characteristic polinomials; Eigenvalues and eigenvectors Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Beyin Fırtınası, Problem Çözme
8 Mid-Term Exam Sections from different chapters relevant to the subject Ölçme Yöntemleri:
Yazılı Sınav
9 Evaluation of experimental data and conventional functions Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma
10 Evaluation of experimental data and conventional functions (Cont.) Study all the relevant subjects for the mid-term exam Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
11 Introduction to series: Taylor and Maclaurin series Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Problem Çözme, Gösterip Yaptırma
12 Maclaurin series of a function Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
13 Numerical integration: Trapezoidal and Simpsons rules Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
14 Numerical integration: Trapezoidal and Simpsons rules continued Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma
15 Root-finding algorithm: Newtons method Sections from different chapters relevant to the subject Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama
16 Term Exams Study all the relevant subjects for the final exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Study all the relevant subjects for the final exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 12 7 84
Out of Class Study (Preliminary Work, Practice) 6 7 42
Assesment Related Works
Homeworks, Projects, Others 1 1 1
Mid-term Exams (Written, Oral, etc.) 1 1 1
Final Exam 1 1 1
Total Workload (Hour) 129
Total Workload / 25 (h) 5,16
ECTS 5 ECTS

Update Time: 09.05.2024 09:05