Issue date: 01.10.2019

Revision date: 01.10.2019

Revision No: 00

DF Board Decision No: -

Course Name :  Numerical Analysis for Engineers

Degree: Bachelor

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

SMME412

4/1 (Fall)

2.5

4

1

1

0

Department

Marine Engineering

Instructors

Contact Information

Office Hours

Web page

-

Course Type

 Compulsory

Course Language

English

Course Prerequisites

  MF111

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

60

40

-

-

Course Description

Basic principles of numerical methods used in engineering

Course Objectives

The student is able to use numerical calculation devices (ranging from handheld calculator to highly sophisticated computers) effectively.

Course Learning Outcomes

1. The student is able to use numerical calculation devices (ranging from handheld calculator to highly sophisticated computers) effectively.
2. The student has knowledge of the advantages and weak points of numerical methods.
3. Student can perform numerical calculations

Instructional Methods and Techniques

Classroom instruction and problem solving

Tutorial Place

Classroom

Co-term Condition

-

Textbook

Numerical Methods for Engineers

Chapra, S.C., Canale, R.P.

McGraw-Hill Book Comp.

Other References

Practical Numerical Methods for Engineers, Michael C. Kohn

 Macmillan Publishing Company, 1987

Homework & Projects

When required

Laboratory Work

-

Computer Use

When required

Other Activities

-

Assessment Criteria

Activities

Quantity

Effects on Grading, %

Attendance

Midterm

1

40

Quiz

Homework

2

10

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

50

TOTAL

%100

Effects of Midterm on Grading, %

%40

Effects of Final on Grading, %

%50

TOTAL

%100

ECTS/

WORKLOAD TABLE

Activities

Count

Hours

Total

Workload

Lecture

14

1

14

Midterm

1

15

15

Quiz

Homework

2

20

15

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

20

20

Total Workload

64

Total Workload/25

64/25

Course ECTS Credits

3

Week

Topics

Course Outcomes

1

Introduction to numerical methods, errors and their sources

II

2

Solution of algebraic equations:  Bisection, Regula Falsi, direct iteration, Newton-Raphson and Secant Methods

I-III

3

Solution of linear systems of equations:  Gauss-Jordan, Matrix Inversion, Cholesky, Crout, Jacobi and Gauss-Seidel Methods

I-III

4

Solution of linear and nonlinear systems of equations:  Jacobi and Gauss-Seidel Methods

I-III

5

Interpolation and extrapolation of tabulated data, spline fits

I-III

6

Curve fitting by least squares

I-III

7

Numerical differentiation

I-III

8

Midterm exam

9

Numerical Integration : Trapezoidal, Simpson’s first, second, third methods

I-III

10

Romberg integration and integration by Tschebicheff polynomials

I-III

11

Numerical solution of differential equations:  Picard’s method, Taylor series method, Euler, Modified Euler and Runge-Kutta methods

I-III

12

Series solution of differential equations

I-III

13

Collocation methods, finite difference and finite element methods

I-III

14

General repetition

I-III

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

X

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

X

g

An ability to communicate effectively

X

h

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

X

i

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

X

j

A knowledge of contemporary issues

X

k

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

X

l

An ability to apply legal, societal and environmental knowledge in maritime transport and in all respective modes of transport operations.

X

m

An ability to interpret and analysis of the data regarding maritime management and operations, recognition and solution of problems for decision making process.

X

Course

Outcomes

I

II

III

Programme Outcomes

a

b

X

X

X

c

X

X

X

d

e

f

g

h

i

j

k

l

m

X

X

X