DOKUZ EYLUL UNIVERSITY FACULTY OF ENGINEERING OFFICE OF THE DEAN COURSE / MODULE / BLOCK DETAILS ACADEMIC YEAR / SEMESTER. Course Code: MAT 2011

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1 Offered by: Mühendislik Fakültesi Course Title: CALCULUS III Course Org. Title: MATEMATİK III Course Level: Lisans Course Code: MAT Language of Instruction: Türkçe Form Submitting/Renewal Date 6/5/3 Weekly Course Hours: Course Coordinator: DOÇENT SEVAL ÇATAL Theory Application Laboratory National Credit: ECTS Credit: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİR

2 Offered to: Course Status: Compulsory/Elective Name of the Department: Civil Engineering Mechanical Engineering Civil Engineering Environmental Engineering Geophysical Engineering Mechanical Engineering Metallurgical and Materials Engineering Geological Engineering Mining Engineering Textile Engineering Geological Engineering Industrial Engineering Mining Engineering Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİR

3 Instructor/s: DOÇENT MUSTAFA DOÇENT SÜLEYMAN Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİR

4 Course Objective: To define,to solve, classifications and applications of differential equations Learning Outcomes: 3 5 To define and classifications of differential equations To solve first order differential equations Applications of first order differential equations To solve higher order differential equations Applications of higher order differential equations Learning and Teaching Strategies: Books, presentations and homeworks, midterm exams, final exam. Assessment Methods: Name Code Calculation formula.vize.vize Final Bütünleme Notu BNS Bütünleme Sonu Başarı Notu VZ VZ FN BUT BNS BBN VZ * 5 + VZ * 5 + FN * 5 VZ * 5 + VZ * 5 + BUT * 5 Further Notes about Assessment Methods: Assessment Criteria: PO -5: Evaluated by midterm and final questions. Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİ

5 Textbook(s)/References/Materials: Akyıldız, E.T., Alpay, Ş., Erkip, A. (99).Differential Equations, Şafak Matbaacılık, Ankara. Kreyszig, E. (993).Advanced Engineering Mathematics, John Wiley&Sons. Inc, New York. Ayres, F. (978). Differential Equations, Schaums Outline Series, Mc-Graw-Hill Book Company, New York. Course Policies and Rules: Attendance will be considered in the evaluation. Contact Details for the Instructor: ASSOC.DR.SEVAL ÇATAL Office Hours: FRİDAY: :-: Course Outline: Week Topics: Notes: Introduction to differential equations, Definition and classifications of differential equations First order differential equations, separations of variable differential equations 3 Linear differential equations, homogen differential equations Exact differential equations, Integral multipliers, non-linear differential equations Envelopes 5 6 Higher degree first order differential equations, Envelopes, etc. Application of first order differential equations for geometric and physical problems Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİ

6 Higher order differential equations and their solutions Linear independency, wronskian,etc.. st midterm Higher order non-homogen differential equations and their solutions: Undetermined Coefficients method, Lagrange method Operator Method, Cauchy-Euler differential equation Legendre differential equation Power series, Solutions of differential equations with power series, Fourier series Laplace transformation method for solving differential equations nd.midterm Application of differential equations, Solutions of the system of differential equations with operator method and Laplace transformation methods Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİ

7 ECTS Table Course Activities Number Duration Total Work (hour) Load (hour) In Class Activities Lectures 56 Tutorials Exams Final Midterm Quiz etc. Out Class activities Preparations before/after weekly lectures Preparation for midterm exam 8 Preparation for final exam 6 6 Preparation for quiz etc. Total Work Load (hour) ECTS Credits of the Course= Total Work Load (hour) / 5 Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 356 Buca/İZMİ