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Information
| Code | TYP202 |
| Name | Engineering Mathematics |
| 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 Goal
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 | ||