COURSE UNIT TITLE

: CALCULUS III

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 2011 CALCULUS III COMPULSORY 4 0 0 4

Offered By

Faculty of Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SEVAL ÇATAL

Offered to

Geophysical Engineering
Mechanical Engineering (Evening)
Mechanical Engineering
Civil Engineering
Environmental Engineering
Mining Engineering
Geological Engineering
Metallurgical and Materials Engineering
Civil Engineering (Evening)
Industrial Engineering
Geological Engineering (Evening)
Mining Engineering (Evening)

Course Objective

To define ,to solve, classifications and applications of differential equations

Learning Outcomes of the Course Unit

1   To define and classifications of differential equations
2   To solve first order differential equations
3   Applications of first order differential equations
4   To solve higher order differential equations
5   Applications of higher order differential equations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to differential equations, Definition and classifications of differential equations
2 First order differential equations, separations of variable differential equations
3 Linear differential equations, homogen differential equations
4 Exact differential equations, Integral multipliers, non-linear differential equations Envelopes
5 Higher degree first order differential equations, Envelopes , etc.
6 Application of first order differential equations for geometric and physical problems
7 Higher order differential equations and their solutions Linear independency, wronskian,etc..
8 Higher order non-homogen differential equations and their solutions: Undetermined Coefficients method, Lagrange method
9 Operator Method, Cauchy-Euler differential equation Legendre differential equation
10 Power series , Solutions of differential equations with power series, Fourier series
11 Laplace transformation method for solving differential equations
12 problem solutions
13 Application of differential equations.
14 Solutions of the system of differential equations with operator method and Laplace transformation methods

Recomended or Required Reading

Akyıldız, E.T., Alpay, Ş., Erkip, A. (1990) .Differential Equations, Şafak Matbaacılık, Ankara.
Kreyszig, E. (1993) .Advanced Engineering Mathematics, John Wiley&Sons. Inc, New York.
Ayres, F. (1978). Differential Equations, Schaums Outline Series, Mc-Graw-Hill Book Company, New York.

Planned Learning Activities and Teaching Methods

Books, presentations and homeworks, midterm exams, final exam.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

PO 1-5: Evaluated by midterm and final questions.

Language of Instruction

Turkish

Course Policies and Rules

Attendance will be considered in the evaluation.

Contact Details for the Lecturer(s)

Prof.Dr.Seval Çatal
seval.catal@deu.edu.tr

Office Hours

Instructor office hours are declared by instructor.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Tutorials 0 0 0
Lectures 14 4 56
Preparation for final exam 1 6 6
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 2 4 8
Preparation for quiz etc. 0 0 0
Quiz etc. 0 0 0
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 88

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.15335
LO.25335
LO.35335
LO.45335
LO.55335

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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