COURSE UNIT TITLE

: COMPUTATIONAL MATHEMATICS II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 4072 COMPUTATIONAL MATHEMATICS II ELECTIVE 4 0 0 7

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR CEM ÇELIK

Offered to

Mathematics

Course Objective

The aim of this course is to combine basic mathematical expressions and methods with current programming languages and to learn how to solve mathematical problems using this programming languages when necessary.

Learning Outcomes of the Course Unit

1   Will be able to make symbolic solutions of differential equations and their types using computer.
2   Will be able to learn about floating-point numbers and types.
3   Will be able to learn real and complex intervals in computers and their arithmetic.
4   Will be able to use matrix decomposition methods.
5   Will be able to apply methods related to nonlinear equations.
6   Will be able to use numerical integration techniques.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 First- and second-order differential equations.
2 The Laplace transform, and systems of linear differential equations.
3 Linear and non-homogeneous recurrence relations.
4 Floating-point numbers, rounding.
5 Complex floating-point numbers, real intervals.
6 Complex intervals, interval arithmetic.
7 Non-linear equations.
8 The fundamental theorem of algebra.
9 Iterative approximation methods.
10 Matrix norms and condition number.
11 Dense matrices, decomposition methods.
12 The method of least squares.
13 Curve fitting methods.
14 Numerical integration, multiple integrals.

Recomended or Required Reading

Textbook(s): Zimmermann P., Casamayou A., Cohen N., Connan G., Dumont T., Fousse L., Maltey F., Meulien M., Mezzarobba M., Pernet C., Thiéry N. M., Bray E., Cremona J., Forets M., Ghitza A., Thomas H., Computational Mathematics with SageMath, Philadelphia: Society for Industrial and Applied Mathematics, 2018.
Supplementary Book(s):
References:
Materials: Instructor s notes and presentations.

Planned Learning Activities and Teaching Methods

Lecture Notes, Presentation, Problem Solving.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

%40 (Midterm examination) + %60 (Final examination)

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)

To be announced.

Office Hours

To be announced later.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 14 4 56
Preparation for midterm exam 1 30 30
Preparation for final exam 1 30 30
Midterm 1 3 3
Final 1 3 3
TOTAL WORKLOAD (hours) 178

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.1555554
LO.2555554
LO.3555554
LO.4555554
LO.5555554
LO.6555554

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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