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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
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R1- Chapter6
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8
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Lineer Systems of ODEs
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R1- Chapter7
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9
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Lineer Systems of ODEs 2
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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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SR1. Rice R.G., Do, D.D., (1994) Applied mathematics and modeling for chemical engineers, John Willey & Sons. SR2. Edwards, C.H., Penney, D.E. (2010) (Çeviri Editörü: Ömer Akın) Diferansiyel Denklemler ve Sınır Değer Problemleri, Palme Yayınevi. SR3. James Stewart (Çeviri), (2007) Kalkülüs: Kavram ve Kapsam Difransiyel ve İntegral Hesap, (ikinci baskı) Türkiye Bilimler Akademisi. SR4. 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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To own sufficient background in mathematics, sciences and related engineering subjects; use the theoretical and practical knowledge in these fields together for Civil Engineering solutions.
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-
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2
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Identify, define, formulate and solve civil engineering problems; selects and applies modeling techniques with appropriate analytical methods to this aim.
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-
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3
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Analyze a system, system component or process and design under realistic constraints to meet the desired requirements; apply modern design methods in this aim.
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-
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4
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Designs and conducts experiments, collects data, analyzes and interprets results.
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-
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5
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Selects and uses the modern techniques and tools required for engineering applications; effectively use information technologies and at least one computer software (European Computer Using License Advanced Level).
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-
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6
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Accesses information and conducts resource research for this purpose, uses databases and other information sources.
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7
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Work effectively in individual and multi-disciplinary teams, take responsibilityi.
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8
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Aware of the necessity of lifelong learning; follows developments in science and technology and renews itself continuously.
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-
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9
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It manages the project, is aware of workplace practices, employee health, environment and occupational safety; is aware of the legal consequences of engineering applications,
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-
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10
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Communicates effectively in oral and written Turkish; Have at least one foreign language knowledge at the general level of European Language Portfolio B1,
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-
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11
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It is aware of the universal and social effects of engineering solutions and applications; is aware of the issues of entrepreneurship and innovation and has knowledge about the problems of the time.
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12
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To have the awareness of professional and ethical responsibility.
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