Food Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH216 | ||||||||
Course Name: | Mathematics IV | ||||||||
Course Semester: | Spring | ||||||||
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. SEZGİN SEZER |
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Course Assistants: |
Course Objectives: | The aim of this course is to gain basic knowledge and abilities about classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods to the students. |
Course Content: | This course will investigate classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Some Basic Mathematical Models; Direction Fields Classification of Differential Equations | Lecture Notes |
2) | First Order Differential Equations | Lecture Notes |
3) | First Order Differential Equations | Lecture Notes |
4) | Higher Order Linear Equations | Lecture Notes |
5) | Higher Order Linear Equations | Lecture Notes |
6) | The Laplace Transform | Lecture Notes |
7) | The Laplace Transform | Lecture Notes |
8) | The Laplace Transform | Lecture Notes |
9) | ||
10) | Systems of First Order Linear Differential Equations | Lecture Notes |
11) | Systems of First Order Linear Differential Equations | Lecture Notes |
12) | Systems of First Order Linear Differential Equations | Lecture Notes |
13) | Systems of First Order Linear Differential Equations | Lecture Notes |
14) | Systems of First Order Linear Differential Equations | Lecture Notes |
Course Notes / Textbooks: | Elementary Differential Equations and Boundary Value Problems, 10th Edition with WileyPlus Card William E. Boyce, Richard C. DiPrima John Wiley & Sons Pte Ltd |
References: | Lecture notes- Ders notu |
Learning Outcomes | 1 |
2 |
3 |
4 |
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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. | 5 |
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. | 5 |
9) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 5 |
10) | Accesses information and conducts resource research for this purpose, uses databases and other information sources. | 5 |
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 | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 2 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Study Hours Out of Class | 15 | 4 | 60 |
Midterms | 2 | 15 | 30 |
Final | 1 | 20 | 20 |
Total Workload | 170 |