FACULTY OF ENGINEERING
Department of Food Engineering
MATH 207 | Course Introduction and Application Information
| Course Name |
Introduction to Differential Equations I
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 207
|
Fall/Spring
|
2
|
2
|
3
|
5
|
| Prerequisites |
|
|||||||||
| Course Language |
English
|
|||||||||
| Course Type |
Elective
|
|||||||||
| Course Level |
First Cycle
|
|||||||||
| Mode of Delivery | - | |||||||||
| Teaching Methods and Techniques of the Course | Problem SolvingCase StudyQ&A | |||||||||
| Course Coordinator | ||||||||||
| Course Lecturer(s) | ||||||||||
| Assistant(s) | ||||||||||
| Course Objectives | This course is an introduction to the basic concepts, theory, methods and applications of ordinary differential equations. The aim of this course is to solve differential equations and to develop the basics of modeling of real life problems. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | In this course basic concepts of differential equations will be discussed.The types of first order ordinary differential equations will be given and the solution methods will be taught. Also, solution methods for higherorder ordinary differential equations will be analyzed. |
|
|
Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Description and Classification of differential equations. Separable Differential Equations. First - Order Linear Differential Equations. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 1.1, 2.2, 2.3 |
| 2 | Description and Classification of differential equations. Separable Differential Equations. First - Order Linear Differential Equations. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section: 1.1, 2.2, 2.3 |
| 3 | Exact Differential Equations. Non- Exact Differential Equations. Bernoulli Differential Equations. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 2.4, 2.5 |
| 4 | Systems of Linear Differential Equations | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 9.5 |
| 5 | Systems of Linear Differential Equations/ Matrix Exponential | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 9.8 |
| 6 | Midterm I | |
| 7 | Homogeneous Constant Coefficient Second Order Differential Equations. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 4.2 |
| 8 | Non-homogeneous Constant Coefficient Second Order Differential Equations. Variation of parameters. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 4.4 |
| 9 | Laplace Transforms: Definition of the Laplace Transform, Properties of the Laplace Transform, Inverse Laplace Transforms. Solving Initial Value Problems by Laplace Transforms. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 7.2, 7.3.,7.4, 7.5. |
| 10 | Midterm II | |
| 11 | Laplace Transform: Systems of Linear Differential Equations (Including Non-homogeneous Case)Series Solutions of Differential Equations. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 7.9 |
| 12 | Power Series Solutions: Series Solutions around an Ordinary Point. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 8.3 |
| 13 | Series Solutions around a Singular Point. | R. Kent Nagle, Edward B. Saff and Arthur David Snider, ''Fundamentals of Differential Equations and Boundary Value Problems'’, (Pearson, 2011), Section 8.3 |
| 14 | Review | |
| 15 | Semester review | |
| 16 | Final exam |
| Course Notes/Textbooks | Kent Nagle, Edward B. Saff and Arthur David Snider, “Fundamentals of Differential Equations and Boundary Value Problems” 6th Edition, (Pearson, 2011), ISBN-13: 978-0321747747. |
| Suggested Readings/Materials | Shepley L. Ross, ''Introduction to Ordinary Differential Equations'', Fourth Edition, (John Wiley and Sons,1989), ISBN-13: 978-0471032953. |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
2
|
50
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
2
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
2
|
12
|
24
|
| Final Exam |
1
|
20
|
20
|
| Total |
150
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | Being able to transfer knowledge and skills acquired in mathematics and science into engineering, | |||||
| 2 | Being able to identify and solve problem areas related to Food Engineering, | |||||
| 3 | Being able to design projects and production systems related to Food Engineering, gather data, analyze them and utilize their outcomes in practice, | |||||
| 4 | Having the necessary skills to develop and use novel technologies and equipment in the field of food engineering, |
|||||
| 5 | Being able to take part actively in team work, express his/her ideas freely, make efficient decisions as well as working individually, |
|||||
| 6 | Being able to follow universal developments and innovations, improve himself/herself continuously and have an awareness to enhance the quality, |
|||||
| 7 | Having professional and ethical awareness, |
|||||
| 8 | Being aware of universal issues such as environment, health, occupational safety in solving problems related to Food Engineering, | |||||
| 9 | Being able to apply entrepreneurship, innovativeness and sustainability in the profession, |
|||||
| 10 | Being able to use software programs in Food Engineering and have the necessary knowledge and skills to use information and communication technologies that may be encountered in practice (European Computer Driving License, Advanced Level), |
|||||
| 11 | Being able to gather information about food engineering and communicate with colleagues using a foreign language ("European Language Portfolio Global Scale", Level B1) |
|||||
| 12 | Being able to speak a second foreign language at intermediate level. |
|||||
| 13 | Being able to relate the knowledge accumulated during the history of humanity to the field of expertise |
|||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
NEWS |ALL NEWS
Online 'weight loss' period
The increase in time spent at home to protect against coronavirus and the habit of sedentary life caused a "weight" crisis for
The Aegean is distributing healing
The fear of catching coronavirus, which is transmitted to more than 73 million people worldwide, and the increase in flu cases with
Pandemic changed eating habits
The coronavirus, which negatively affected life in many issues from daily life to work and social interaction, also changed the eating habits
HIGH-SCHOOL STUDENTS EXPERIENCED COLLEGE IN FOOD ENGINEERING LABORATORIES
“SCIENCE DAYS” event was organized by Department of Food Engineering in Izmir University of Economics. This event aimed to teach science in
STUDENTS OF FOOD ENGINEERING DEPARTMENT DEVELOPED 'ATRICHOKE PASTE' FOR FIRST INTERNATIONAL URLA ARTICHOKE FESTIVAL
Most of the attenders enjoyed the 'Artichoke Paste', developed by the students of Food Engineering Department.
MAINTAINING HEALTHY EATING HABITS DURING HOLIDAY SEASON!
As the students got their report cards and started a long summer holiday, the experts pointed out the importance of not to
MAKE THIS BAIRAM ‘SWEET’ WITH NATURAL FOODS
The experts strongly suggest opting for natural foods when it comes to consuming sweets, candies at this Sweet Festival (a.k.a Sugar Feast).