COURSE UNIT TITLE

: CALCULUS IV

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 2014 CALCULUS IV COMPULSORY 4 0 0 4

Offered By

Faculty of Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SÜLEYMAN ŞAFAK

Offered to

Textile Engineering

Course Objective

To teach basic mathematical concepts and the methods of numerical analysis for engineering education

Learning Outcomes of the Course Unit

1   To learn the numerical analysis, the error of calculations
2   To learn exact and approximate methods of solution of linear systems of equations
3   To calculate the largest and smallest eigenvalues
4   To find numerical solutions of nonlinear equations
5   To learn finite differences, interpolation calculations and curve fitting
6   To calculate the numerical differentiation and integration,
7   To learn approximate solutions of ordinary differential equations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Basic informations related to numerical analysis, error in computations
2 Systems of Linear Equations: Exact and Approximate solution methods
3 Eigenvalues and eigenvectors. The computations of the largest and the smallest eigenvalues
4 Solutions of nonlinear equations: Bisection and Tangent (Newton-Raphson) Methods
5 Numerical solutions of nonlinear equations with the secant, fixed point and functional approach methodsı
6 Midterm Exam
7 Finite Differences: Difference Tables
8 Polinomial interpolation and inverse interpolation.
9 Least Squares Method: Curve fitting
10 Numerical Differentiation
11 Numerical Integration
12 Midterm Exam
13 Approximate solutions of Ordinary Differential Equations
14 Approximate solutions of initial value and boundary value problems

Recomended or Required Reading

1. Bulut, S.A. 2000,Sayısal Çözümleme, DEU. Müh. Yay., Izmir
2. Johnson, L. W. and Riess, R. D., 1982, Numerical Analysis, 2nd Edition, Addison Wesley, New York.
3. Buchanan, J. L. And Turner, P. R., 1992,Numerical Methods and Analysis, McGraw-Hill, New York,.

Planned Learning Activities and Teaching Methods

Lectures and examples in the class

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE 1 MIDTERM EXAM 1
2 MTE 2 MIDTERM EXAM 2
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE 1 * 0.25 + MTE 2 * 0.25 + FIN * 0.50
5 RST RESIT
6 FCG FINAL COURSE GRADE MTE 1 * 0.25 + MTE 2 * 0.25 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Course outcomes 1 , 2, 3 and 4 will be checked by the 1.th Mid-term exam,
Course outcomes 5 and 6 will be checked by the 21.th Mid-term exam,
Course outcomes 7 and 1-6 will be checked by the Final exam
questions.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

suleyman.safak@deu.edu.tr Phone: 3017527

Office Hours

Thursday, Time: 09.00 to 16:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Tutorials 0
Preparations before/after weekly lectures 13 1 13
Preparation for midterm exam 2 10 20
Preparation for final exam 1 15 15
Preparation for quiz etc. 0
Preparing assignments 0
Preparing presentations 0
Final 1 2 2
Midterm 2 2 4
Quiz etc. 0
TOTAL WORKLOAD (hours) 106

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.1543425
LO.2543425
LO.3543425
LO.4543425
LO.5543425
LO.6543425
LO.7543425

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

Copyright 2012 DEÜ. BİD

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