Food Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH215 | ||||||||
Course Name: | Mathematics III | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
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Language of instruction: | EN | ||||||||
Course Requisites: | |||||||||
Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Prof. Dr. HASAN ÖZEKES |
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Course Assistants: |
Course Objectives: | The aim of this course to understand basic concepts of linear algebra ( systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, Gram-Schmidt process, least squares, orthogonal diagonalization and singular value decomposition) and solve problems about it. |
Course Content: | This course will investigate systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, Gram-Schmidt process, least squares, orthogonal diagonalization and singular value decomposition. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Syllabus. Systems of linear equations. Elementary row operations. Gauss-Jordan Elimination | Lecture Notes |
2) | Matrix Algebra | Lecture Notes |
3) | Matrix Algebra | Lecture Notes |
4) | Determinants | Lecture Notes |
5) | Determinants | Lecture Notes |
Course Notes / Textbooks: | Linear Algebra and Its Applications, 5th Edition David C. Lay, Stephan R. Lay, Judi J. McDonald Pearson Education Limited |
References: | Lecture notes - Ders notları |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
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Program Outcomes | ||||||||||||||||||||||
1) Has sufficient background in mathematics, science and engineering related fields. | ||||||||||||||||||||||
2) Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | ||||||||||||||||||||||
3) Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | ||||||||||||||||||||||
4) Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | ||||||||||||||||||||||
5) Selects and uses the modern techniques and tools necessary for engineering applications. | ||||||||||||||||||||||
6) Design experiments, conduct experiments, collect data, analyze and interpret results. | ||||||||||||||||||||||
7) Works individually and in multi-disciplinary teams. | ||||||||||||||||||||||
8) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
9) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
10) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
11) Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | ||||||||||||||||||||||
12) Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | ||||||||||||||||||||||
13) Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | ||||||||||||||||||||||
14) Selects and uses the modern techniques and tools necessary for engineering applications. | ||||||||||||||||||||||
15) Works individually and in multi-disciplinary teams | ||||||||||||||||||||||
16) Uses information and communication technologies together with computer software required by the field at least Advanced Level of European Computer Skills License. | ||||||||||||||||||||||
17) Communicate effectively verbally and in writing; use a foreign language at least at level B1 of the European Language Portfolio. | ||||||||||||||||||||||
18) Communicates using technical drawing. | ||||||||||||||||||||||
19) Accesses information and conducts resource research for this purpose, uses databases and other information sources. | ||||||||||||||||||||||
20) Becomes aware of the universal and social effects of engineering solutions and applications; entrepreneurship and innovation and have knowledge about the problems of the age. | ||||||||||||||||||||||
21) Has professional and ethical responsibility. | ||||||||||||||||||||||
22) Have awareness of project management, workplace practices, employee health, environmental and occupational safety; the legal consequences of engineering applications. | ||||||||||||||||||||||
23) Demonstrates awareness of the universal and social impact of engineering solutions and applications; is aware of entrepreneurship and innovation and has knowledge about the problems of the age. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Has sufficient background in mathematics, science and engineering related fields. | 5 |
2) | Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | 5 |
3) | Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | 5 |
4) | Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | 5 |
5) | Selects and uses the modern techniques and tools necessary for engineering applications. | 5 |
6) | Design experiments, conduct experiments, collect data, analyze and interpret results. | 4 |
7) | Works individually and in multi-disciplinary teams. | 5 |
8) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 4 |
9) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 4 |
10) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 4 |
11) | Uses the theoretical and practical knowledge in mathematics, science and their fields together for engineering solutions. | 5 |
12) | Identifies, formulates and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques for this purpose. | 5 |
13) | Analyze a system, system component or process and design it under realistic constraints to meet desired requirements; apply modern design methods accordingly. | 5 |
14) | Selects and uses the modern techniques and tools necessary for engineering applications. | 5 |
15) | Works individually and in multi-disciplinary teams | 5 |
16) | Uses information and communication technologies together with computer software required by the field at least Advanced Level of European Computer Skills License. | 5 |
17) | Communicate effectively verbally and in writing; use a foreign language at least at level B1 of the European Language Portfolio. | 5 |
18) | Communicates using technical drawing. | |
19) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | |
20) | Becomes aware of the universal and social effects of engineering solutions and applications; entrepreneurship and innovation and have knowledge about the problems of the age. | |
21) | Has professional and ethical responsibility. | |
22) | Have awareness of project management, workplace practices, employee health, environmental and occupational safety; the legal consequences of engineering applications. | |
23) | Demonstrates awareness of the universal and social impact of engineering solutions and applications; is aware of entrepreneurship and innovation and has knowledge about the problems of the age. |
Lesson | |
Reading | |
Homework | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Homework Assignments | 5 | % 20 |
Midterms | 2 | % 40 |
Final | 1 | % 40 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Study Hours Out of Class | 15 | 3 | 45 |
Homework Assignments | 5 | 5 | 25 |
Midterms | 2 | 10 | 20 |
Final | 1 | 15 | 15 |
Total Workload | 165 |