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
MTH 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

ASSISTANT PROFESSOR GÜLTER BUDAKÇI

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 solution methods
3 Systems of Linear Equations: Approximate solution methods
4 Eigenvalues and eigenvectors. The computations of the largest and the smallest eigenvalues
5 Solutions of nonlinear equations: Bisection and Tangent (Newton-Raphson) Methods
6 Numerical solutions of nonlinear equations with the secant, fixed point and functional approach methods
7 Finite Differences: Difference Tables
8 Polinomial interpolation and inverse interpolation
9 Least Squares Method: Curve fitting
10 Numerical Differentiation
11 Numerical Integration
12 Applications
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 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

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

Language of Instruction

English

Course Policies and Rules

You can be successful in this course by studying from your textbooks and lecture notes on the topics to be covered every week, coming to class by solving the given problems, establishing the concepts by discussing the parts you do not understand with your questions, learning the methods, and actively participating in the course.

Contact Details for the Lecturer(s)

gulter.budakci@deu.edu.tr

Office Hours

Will be announced

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 1 15 15
Preparation for final exam 1 22 22
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 111

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.154534
LO.254534
LO.354534
LO.454534
LO.554534
LO.654534
LO.754534

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 2015 DEÜ. BİD

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