TÜRKÇE
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Information
| Unit | FACULTY OF AGRICULTURE |
| FOOD ENGINEERING PR. | |
| Code | G238 |
| Name | Differential Equations |
| Term | 2018-2019 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 | - | Has knowledge in the fields of basic science, engineering and food science and technology | 3 |
| PLO02 | - | Determines, identifies and resolves the problems in the areas regarding food engineering and technology applications | 3 |
| PLO03 | - | Gains the ability to use knowledge and skills in his/her field. | 4 |
| PLO04 | - | Improve a process-based system using the methods of measurement and evaluation | 0 |
| PLO05 | - | Researches and analyzes complex systems using scientific methods | 4 |
| PLO06 | - | Uses objective and subjective methods to evaluate food quality and interprets the results | 0 |
| PLO07 | - | Selects and uses modern technical systems in food engineering and technology applications | 2 |
| PLO08 | - | Uses laboratories, does food analyses and evaluates, interprets and reports the results, | 0 |
| PLO09 | - | Has skills of Independent decision-making, self-confidence, creativity and the ability to take responsibility | 5 |
| PLO10 | - | Complies with teamwork | 0 |
| PLO11 | - | Analytically and critically evaluates the learned information. | 4 |
| PLO12 | - | Knows the necessity of lifelong learning. | 0 |
| PLO13 | - | Communicates effectively and healthily in the relevant field and uses communication technologies | 3 |
| PLO14 | - | Knows a foreign language at a level to follow the literature about foods and communicate | 2 |
| PLO15 | - | Constantly improves himself/herself determining his/her training needs in accordance with his/her interests and abilities in the scientific, cultural, artistic and social fields besides his/her professional development | 0 |
| PLO16 | - | is respectful of professional ethics | 0 |
| PLO17 | - | Has ability to plan, implement and develop a food process | 0 |
| PLO18 | - | Knows the legislation and management systems related to foods | 0 |
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. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |