Course Name Code Semester T+U Hours Credit ECTS
Differential and Differential Eqationas IKT 623 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level Doctorate Degree Course Type Compulsory Course Coordinator Dr.Öğr.Üyesi ÜNSAL OZAN KAHRAMAN Course Lecturers Dr.Öğr.Üyesi ÜNSAL OZAN KAHRAMAN, Course Assistants Research Assistants of the Department Course Category Course Objective The aim of this course is to make the student be able to use some basic technics and properties of differential equations in some basic macro and micro issues. Course Content In this course the relationship between mathematics and economy, differancial equations and the economical applications and optimization will be studied.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 To define basic differantial principles.
2 To analyse separable functions, diffusion models and phase portrait. Lecture, Question-Answer, Discussion, Testing, Homework,
3 To solve first order differancial equations. Lecture, Question-Answer, Discussion, Testing, Homework,
4 To solve second order differancial equations. Lecture, Question-Answer, Discussion, Testing, Homework,
5 To apply optimal control theory Lecture, Question-Answer, Discussion, Testing, Homework,
6 To analyse demend and supply models Lecture, Question-Answer, Discussion, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Solutions to first-order linear differential equations Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
2 First-order equations and isoclines Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
3 Separable functions, diffusion models and phase portrait Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
4 Second-order linear homogeneous equations Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
5 Second-order linear nonhomogeneous equations Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
6 Solving first-order difference equations Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
7 Solving second-order difference equations Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
8 The phase plane, fixed points and stability Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
9 Solutions with repeating roots Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
10 The optimal control problem Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
11 The Pontryagin maximum principle:continuous model Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
12 The Pontryagin maximum principle:discrete model Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
13 Optimal control with discounting Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
14 A demand and supply model in continuous time Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
Resources
Course Notes
Course Resources Economic Dynamics Phase Diagrams and Their Economic Application Second Edition, RONALD SHONE University of Stirling
Fundamental Methods of Mathematical Economics, Alpha CHIANG
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 they constitute an idea in economic subjects analitically and advocacy this idea coherent and critique the ideas constituted by others X
2 They have perfect knowledge They have perfect knowledge about general microeconomic theory through numeric and graphical methods X
3 They have perfect knowledge about general macroeconomic theory through numeric and graphical methods X
4 They know econometricThey have perfect knowledge about international trade theory through numeric X
5 They know econometric theories and have ability to solve economic problems by using these theories X
6 They make academic studies when needed to economic perspective X
7 They are specialists at some of theese areas:public economics, industrial economics,money and banking economics, environment and natural sources economics, labour economics, knowledge and property economics, international trade and finance economics, economic growth and development X
8 they have ability of translation at language orally and written X
9 they use basic computer programs helping to make economic analysis X
10 they have proffecional, social and scientific etic value X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 40
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 40
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 20 20
Assignment 1 10 10