Numerical Methods for Engineering Applications

Degree: Master

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

NAME 518

1/1  

3

7.5

3

-

-

Department

Naval Architecture and Marine Engineering

Instructors

Asst. Prof. Murat ÖZBULUT

Contact Information

mozbulut@pirireis.edu.tr

Office Hours

Tuesday, 14:00-16:00

Web page

Students are requested to assign NAME 518 course in PRU Online system.

Course Type

Elective

Course Language

English

Course Prerequisites

  -

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

30

50

20

-

Course Description

An introduction course in numerical methods, theory and application. Emphasizes building algorithms for solution of numerical problems, the sensitivity of these algorithms to numerical errors and efficiency of these algorithms. Topics include: solutions to non-linear equations; system of linear equations, interpolation, polynomial approximations, and quadrature solutions; numerical differentiations and integrations, eigenvalues and eigenvectors.

Course Objectives

1. Provide a basis on numerical techniques used in engineering problems,

2. To further develop concepts and theories in analysis and construct of algorithms,

3. To sharpen students’ problem solving techniques as well as their analytical and

intellectual thought processes,

4. To hone students’ programming skill using appropriate programming language(s).

Course Learning Outcomes

Upon completion of the course, students will be able to:

1. Acquire basic knowledge in theory and application of numerical methods used to solve physical problems.
2. Gain advanced programming skills in the appropriate programming language(s).
3. Enhance their ability in analysis and construct of algorithms related to numerical methods. 
4. Improve analytical and intellectual thought process in problem solving.
5. Enhance problem solving skills.

Instructional Methods and Techniques

Interactive teaching methods will be used. Hands on MATLAB applications will be performed during the classes. 

Tutorial Place

Computer Laboratory

Co-term Condition

Textbook

N.S. Asaithambi, “Numerical Analysis: Theory and Practice”, Saunders college Publications, Fort Worth, 1995.

Other References

1. Jaan Kiusalaas,  Numerical Methods in Engineering Applications with MATLAB, Cambridge University Press, 2005.  

2. Steven T. Karris, Numerical Analysis Using MATLAB and Excel, 3^rd Edition, Orchard Publications, 2007.

Homework & Projects

3 Homework will be given which will require developing computational codes and constructing the numerical algorithms.

Laboratory Work

-

Computer Use

Classes will be carried in computer laboratory and MATLAB applications will be performed during the lectures.

Other Activities

-

Assessment Criteria

Activities

Quantity

Effects on Grading, %

Attendance

Midterm

1

30

Quiz

Homework

3

30

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

 1

40

TOTAL

%100

Effects of Midterm on Grading, %

%60

Effects of Final on Grading, %

%40

TOTAL

%100

ECTS/

WORKLOAD TABLE

Activities

Count

Hours

Total

Workload

Lecture

14

3

42

Midterm

1

25

25

Quiz

Homework

3

25

75

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

45

45

Total Workload

187

Total Workload/25

187/25=7.48

Course ECTS Credits

7.5

Week

Topics

Course Outcomes

1

Introduction, Preliminaries: Review of calculus, Taylor series expansion, error analysis

I

2

Sensitivity, Uncertainty, Stability and Convergence, Interpolation

I,II,III

3

Data Fitting

I,II,III

4

Systems of Linear Algebraic Equations

I,II,IV,V

5

Matrix Computations

I,II, IV,V

6

Numerical Differentiation

II,III,IV

7

Numerical Integration

II,III, IV

8

Further Numerical Integration Methods

IV,V

9

Introduction to Optimization

I,IV,V

10

Initial Value Problems - Mid-term Exam (Take Home Exam)

I,II,III

11

Boundary Value Problems

I,II,III

12

Solutions of Parabolic and Elliptic Partial Differential Equations

IV,V

13

Solutions of Hyperbolic Partial Differential Equations

IV, V

14

Smoothed Particle Hydrodynamics Method

I,IV,V

Program Outcomes

Level of Contribution

1

2

3

a

An ability to apply knowledge of mathematics, science, and engineering

X

b

An  ability to design and conduct experiments, as well as to analyze and interpret data

c

An ability to design a system, component or process to meet desired needs

X

d

Ability to function on multi-disciplinary teams

X

e

An ability to identify, formulate, and solve engineering problems

X

f

An understanding of professional and ethical responsibility

g

An ability to communicate effectively

h

The broad education necessary to understand the impact of engineering solutions in a global and societal context

i

A recognition of the need for, and an ability to engage in life-long learning

X

j

A knowledge of contemporary issues

k

An ability to use the techniques, skills and modern engineering tools necessary for engineering practice

X

l

An ability to apply basic knowledge in fluid mechanics, structural mechanics, material properties, and energy/propulsion systems in the context of marine vehicles

X

Course

Outcomes

I

II

III

IV

V

Programme Outcomes

a

X

b

c

X

X

d

X

X

e

X

X

X

f

g

h

i

j

k

X

X

X

X

l

X

Prepared by

Dr. Murat Özbulut

Date

01.09.2018

Signature