TÜRKÇE
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Information
| Unit | FACULTY OF AGRICULTURE |
| FOOD ENGINEERING PR. | |
| Code | G238 |
| Name | Differential Equations |
| Term | 2019-2020 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MAHMUT ÇETİN |
| Course Instructor |
Prof. Dr. MAHMUT ÇETİN
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Primary objectives of the course are to: 1) formulate derivatively any engineering problem, 2) learn how to find general and particular solution of differential equations, 3) define initial and boundary values of the paroblem, and find the particular solution accordingly.
Course Content
Introduction to differential equations and general definitions; First-Order differential equations; One variable second order differential equations; Second-order linear differential equations with constant coefficients; Higher-order linear differential equations with constant coefficients; Linear differential equations with vaqriable coefficients; Systems of Differential Equations; Laplace transformations; Partial differential equations; Numerical solutions of differential equations
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learns to formulate derivatively any engineering problem. |
| LO02 | Gain skills how to find general and particular solution of differential equations. |
| LO03 | Defines initial and boundary values of the paroblem in the hand |
| LO04 | Finds particular solutions based on initial and boundary values by applying numerical techniques, and interprets the solution for his own purposes. |
| LO05 | Learns how to formulate a differential equation. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | 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 | - | Identifies, defines and solves complex engineering problems in applications in the fields of food engineering and technology. | 4 |
| PLO03 | - | 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. | 4 |
| PLO04 | - | 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. | 0 |
| PLO05 | - | 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. | 4 |
| PLO06 | - | Takes responsibility individually and as a team member to solve problems encountered in food engineering applications. | 0 |
| PLO07 | - | 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. | 2 |
| PLO08 | - | Recognizing the necessity of lifelong learning and constantly improving himself/herself in the field of food engineering. | 0 |
| PLO09 | - | Gains the awareness of food legislation and management systems and professional ethics. | 5 |
| PLO10 | - | 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. | 0 |
| PLO11 | - | 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. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to differential equations and basic definitions regarding ordinary and partial d,ifferential equations | Sections from different chapters relevant to the subject | |
| 2 | First-Order Differential Equations: Separable Equations | Sections from different text books relevant to the subject | |
| 3 | First-Order Differential Equations: Separable Equations | Sections from different text books relevant to the subject | |
| 4 | First-Order Differential Equations: Homogeneous Polar Equations (Cont.) | Sections from different chapters relevant to the subject | |
| 5 | First-Order Differential Equations:Bernoulli Equation | Sections from different text books relevant to the subject | |
| 6 | First-Order Differential Equations: Exact Differential Equations and Integrating Factor | Sections from different chapters relevant to the subject | |
| 7 | First-Order Differential Equations: Clairaut and Lagrange Differential Equations | Sections from different text books relevant to the subject | |
| 8 | Mid-Term Exam | Sections from different text books relevant to the subject | |
| 9 | Second-order linear differential equations with constant coefficients | Sections from different chapters relevant to the subject | |
| 10 | Second-order linear differential equations with constant coefficients (Cont.) | Study all the relevant subjects from different sources | |
| 11 | Higher-order linear differential equations with constant coefficients | Sections from different text books relevant to the subject | |
| 12 | Differential Equations with Variable Coefficients: Euler equation | Sections from different text books relevant to the subject | |
| 13 | Systems of Differential Equations | Sections from different chapters relevant to the subject | |
| 14 | The Laplace Transformations; Numerical Methods for Solving Differential Equations | Sections from different chapters relevant to the subject | |
| 15 | Numerical Methods for Solving Differential Equations (Cont.); Partial Differential Equatioms | Sections from different text books relevant to the subject | |
| 16 | Term Exams | Study all the relevant subjects for the final exam | |
| 17 | Term Exams | Study all the relevant subjects for the final exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Homework | 100 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 20 |
| 1. Final Exam | - | 80 |
| Grand Total | - | 100 |