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Week
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Topics
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Study Metarials
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1
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Introduction to differential equations, classification
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R1. CHAPTER1
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2
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First order ordinary differential equations (ODE)
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R1. CHAPTER2
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3
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Applications of first order ODEs
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R1. CHAPTER3
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4
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Higher order ODEs
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R1. CHAPTER4
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5
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higher order ODEs with constant coefficients
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R1. CHAPTER5
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6
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higher order ODEs with variable coefficients
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R1. CHAPTER6
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7
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higher order ODEs with variable coefficients -II
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R1. CHAPTER6
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8
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Lineer Systems of ODEs - I
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R1. CHAPTER7
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9
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Lineer Systems of ODEs - II
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R1. CHAPTER7
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10
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Series solutions of ODEs
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R1. CHAPTER6
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11
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Boundary Value Problems
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R1. CHAPTER9
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12
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Laplace Transforms and solution of differential equations
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R1. CHAPTER8
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13
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Mathematical modelling of engineering problems
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R1. CHAPTER10
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14
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Partial Differential Equations
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R1. CHAPTER11
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Prerequisites
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-
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Language of Instruction
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Turkish
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Responsible
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Assoc.Prof. Deniz BAŞ
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Instructors
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-
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Assistants
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-
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Resources
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R1. Aydın, M., Kuryel, B., Oturanç, G.,Gündüz,G., (2019) Diferansiyel Denklemler ve Uygulamaları, (13.Baskı) Barış Yayınları.
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Supplementary Book
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S1. Rice R.G., Do, D.D., (1994) Applied mathematics and modeling for chemical engineers, John Willey & Sons. S2. Edwards, C.H., Penney, D.E. (2010) (Çeviri Editörü: Ömer Akın) Diferansiyel Denklemler ve Sınır Değer Problemleri, Palme Yayınevi. S3. James Stewart (Çeviri), (2007) Kalkülüs: Kavram ve Kapsam Difransiyel ve İntegral Hesap, (ikinci baskı) Türkiye Bilimler Akademisi. S4. Boyce W. E., Di Prima, R. C., (2001) Elementary Differential Equations and Boundary Value Problems, John Willey & Sons.
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Goals
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To gain the necessary knowledge and skills in the differential equations and their applications, use of analytical and numerical methods of differential equations, mathematical modeling of engineering problems and applications
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Content
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Applications of engineering mathematics and modelling
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Program Learning Outcomes |
Level of Contribution |
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1
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Using the knowledge acquired in the fields of Mathematics, Science and Engineering for solving and modeling chemical engineering problems
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5
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2
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Identifing, modeling and solving engineering problems by selecting and applying appropriate analysis methods
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4
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3
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To be able to design and conduct experiments within the scope of engineering research and to analyze and interpret the obtained data
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3
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4
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To be able to design a system, system part or process for a specific purpose within the current economic and technical possibilities
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-
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5
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To be able to use modern engineering techniques and information technologies effectively
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1
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6
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Having the awareness of professional and ethical responsibility
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-
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7
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Ability to work individually or in interdisciplined and multidisciplined team work
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-
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8
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Ability to communicate effectively verbally and in writing
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-
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9
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Gaining awareness of lifelong learning and in this context, the ability to constantly renew oneself by following the developments in science and technology
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-
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10
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Gaining awareness of business life, health, safety and environment
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-
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11
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To have knowledge about entrepreneurship, innovation and contemporary issues
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-
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