COURSE UNIT TITLE

: NUMERICAL AND APPROXIMATE METHODS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASSISTANT PROFESSOR MELTEM ADIYAMAN

Offered to

M.Sc. in Biochemistry
Ph.D. in Biotechnology
Computer Engineering Non-Thesis
MARINE CHEMISTRY
COASTAL ENGINEERING
Statistics
Mineral Processing
PHYSICS
COMPUTER ENGINEERING
Biomedical Tehnologies (English)
GEOGRAPHICAL INFORMATION SYSTEMS
Environmental Engineering
Computer Science
Industrial Ph.D. Program In Advanced Biomedical Technologies
Industrial Ph.D. Program In Advanced Biomedical Technologies
PHYSICAL OCEANOGRAPHY
GEOGRAPHICAL INFORMATION SYSTEMS - NON THESIS (EVENING PROGRAM)
NATURAL BUILDING STONES AND GEMSTONES
MARINE GEOLOGY AND GEOPHYSICS
ENVIRONMENTAL EARTH SCIENCES
PHYSICS
STATISTICS
Applied Geology
Mining Operation
Computer Engineering
Mineral Processing
Economic Geology
MARINE LIVING RESOURCES
NAVAL ARCHITECTURE
MARINE LIVING RESOURCES
Mining Operation
Geothermal Energy
MARINE CHEMISTRY
ENVIRONMENTAL EARTH SCIENCES-NON THESIS
Chemistry
ENVIRONMENTAL ENGINEERING
Ph.D. in Computer Science
Ph.D. in Biotechnology
EARTHQUAKE MANAGEMENT - NON THESIS
UNDERWATER ARCHAELOGY
Economic Geology
Mathematics
Mathematics
GEOGRAPHIC INFORMATION SYSTEMS
Chemistry
Textile Engineering
Statistics
M.Sc. Textile Engineering
COASTAL ENGINEERING
Geographical Information Systems (Non-Thesis)
NAVAL ARCHITECTURE
Textile Engineering
M.Sc. Geothermal Energy (Non-Thesis-Evening)
EARTHQUAKE MANAGEMENT
Mining Operation
INDUSTRIAL ENGINEERING - NON THESIS (EVENING PROGRAM)
Ph.D in Biochemistry
Ph.D. in Occupational Health and Safety
Mineral Processing
Applied Geology
ENGINEERING MANAGEMENT- NON THESIS (EVENING PROGRAM)
Computer Engineering
BIOTECHNOLOGY
Occupational Healty and Safety
Computer Engineering (Non-Thesis-Evening)
COASTAL ZONE MANAGEMENT
MARINE GEOLOGY AND GEOPHYSICS
Logistics Engineering
Chemistry

Course Objective

This course aims to give an introduction to numerical methods for engineering problems

Learning Outcomes of the Course Unit

1   Will be able to adopt the concept of error, converge and stability.
2   Will be able to find Taylor expansion of functions
3   Will be able to find exact or approximate solution of equations.
4   Will be able to find exact or approximate solution of system of equations.
5   Will be able to find a nearest curve to a function that lies on a different space.
6   Will be able to solve Numeriacal Differentiation
7   Will be able to solve Integration

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Computational and Mathematical Preliminaries
2 Stability and Taylor Theorem
3 Newton's method for non-linear systems
4 The solution of linear systems: Direct methods
5 The solution of linear systems: Error Analysis and Norms
6 The solution of linear systems: Iterative methods
7 The solution of linear systems: Algebraic Eigenvalue Problem
8 Midterm
9 Curve Fitting: The method of Least Squares
10 Curve Fitting: Interpolation
11 Numerical Differentiation
12 Numerical Integration

Recomended or Required Reading

John H. Mathews ''Numerical Methods for Mathematics, Science and Engineering''. Prentice-Hall. 1992.

Planned Learning Activities and Teaching Methods

Lecture notes, Presentation, Problem solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 ASG ASSIGNMENT
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE ASG * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) ASG * 0.50 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

Attending at least 70 percent of lectures is mandatory.

Contact Details for the Lecturer(s)

sennur.somali@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 8 104
Preparation for midterm exam 1 35 35
Preparation for final exam 1 35 35
Midterm 1 3 3
Final 1 3 3
TOTAL WORKLOAD (hours) 219

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.14
LO.23
LO.3443
LO.4
LO.54
LO.63
LO.73