TÜRKÇE
ENGLISH
Information
| Code | G253 |
| Name | Engineering Mathematics |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 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
Have students gain analitical thinking skills by teaching them to solve ways of engineeering problems to be faced in the real life and providing in-depth knowledge.
Course Content
Linear Algebra:Matrices and determinants, systems of linear equations; Eigenvalue Problems, Numeric Analysis, Linear Programming/Operations Research, Taylor and Maclaurin Series; Advanced Indefinite and Definite Integration Techniques, Improper Integrals
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.
Notes
Supplementary materials uploaded to ÇUBIS web site.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Gains the ability to define engineering problems. |
| LO02 | Develops analitical thinking and synthesizing skills. |
| LO03 | Formulates a problem mathematically. |
| LO04 | Analyses alternative solving techniques and chooses the optimal solution. |
| LO05 | Analyses the solution approaches; compares the solution by synthesizing, and proves the solution if it is corect or not. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge in the fields of basic sciences (mathematics / science) and food engineering and the ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies, defines and solves complex engineering problems in applications in the fields of food engineering and technology. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Gains the ability to apply a complex system or process related to food products and production components using modern design methods under certain constraints and conditions. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Choosing and using modern technical tools necessary for analysis and solution of complex problems encountered in food engineering and technology applications; For this purpose, he/she uses information technologies. | 2 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Gaining laboratory skills for the analysis and solution of complex problems in the field of food engineering, designing an experiment, conducting an experiment, collecting data, analyzing and interpreting the results. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Takes responsibility individually and as a team member to solve problems encountered in food engineering applications. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate verbally and in writing in Turkish / English related to the field of food engineering, to write reports, to prepare design and production reports, to present effectively and to use communication technologies. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Recognizing the necessity of lifelong learning and constantly improving himself/herself in the field of food engineering. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Gains the awareness of food legislation and management systems and professional ethics. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Using the knowledge of project design and management, he/she attempts to develop and realize new ideas about food engineering applications; have information about sustainability. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Has awareness about the effects and legal consequences of engineering practices related to food safety and quality on consumer health and environmental safety within the framework of national and international legal regulations. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to Matrices and Linear Systems: General Concepts and Notations, and some definitions | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Beyin Fırtınası |
| 2 | Unit Matrix, Scalar Matrix, Diagonal Matrix, Multiplication of Matrices | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 3 | Introduction to Linear Systems of Equations, Rank of a Matrix | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 4 | Elementary Row Operations for Solving Equations | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma |
| 5 | Linear Systems, Coefficient Matrix, Augmented Matrix and Solution of Linear Systems of Equations by Gauss Elimination and Gauss-Jordan Elimination Methods | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Soru-Cevap, Tartışma, Gösterip Yaptırma, Problem Çözme |
| 6 | Gauss Elimination and Gauss-Jordan Elimination Methods (Cont.) | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Soru-Cevap, Tartışma, Gösterip Yaptırma |
| 7 | Solving Homogeneous Linear Equation Systems | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Soru-Cevap, Tartışma, Benzetim |
| 8 | Mid-Term Exam | Sections from different chapters relevant to the subject | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Linear Programming: Principles, Minimisation, Maximisation Problems, Feasible Solution, Optimal Solution | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Linear Programming: Principles, Minimisation, Maximisation Problems, Feasible Solution, Optimal Solution (Cont.) | Study all the relevant subjects for the mid-term exam | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Gösterip Yaptırma |
| 11 | Introduction to Taylor and Maclaurin Series- Convergence and Divergence of Series | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Numerical integration: Trapezoidal and Simpsons Rule | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 13 | Newton-Raphson Root-finding Algorithm | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Beyin Fırtınası |
| 14 | Advanced indefinite integration rules such as a*sin(t), a*tan(t) and a*sec(t) substitutions | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Integration of some higher functions by using 2*arctan(t) substitution; improper integrals of TYPE I and TYPE II | Sections from different chapters relevant to the subject | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme |
| 16 | Term Exams | Study all the relevant subjects for final exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Study all the relevant subjects for final exam | 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 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||