COURSE UNIT TITLE

: MATHEMATICS III

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTE 2101 MATHEMATICS III COMPULSORY 4 0 0 5

Offered By

Marine Transportation Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR HANDE TUNÇEL GÖLPEK

Offered to

Marine Transportation Engineering

Course Objective

1. A basic mathematical knowledge gain to create of engineering lectures bases,
2. A basic mathematical ideas gain to create of engineering lectures bases.

Learning Outcomes of the Course Unit

1   will be able to understand System of linear equations, matrices, Echelon form a matrix,
2   will be able to understand Equivalent matrices, real vector spaces, vectors in the plane and in 3-space, subspaces
3   will be able to understand Linear independence, basis and dimension, coordinates and isomorphism, homogeneous systems, rank of a matrix,
4   will be able to understand Eigenvalue and eigenvector
5   will be able to understand Gram-Schmidt process, linear transformations, kernel and range of a linear transformations,

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Linear Equations: Linear Systems, Row Reduction and Echolon Forms, Vectors, Matrix Vector product
2 Solution of Linear systems, Applications
3 Matrices: Operations, Dot Product, Multiplication, Properties, Matrix Transformation
4 Inverse of a Matrix, LU factorization
5 Determinants
6 Vector Spaces:Vector Spaces, subspaces, linear independence, bases and dimension
7 Rank, change of basis
8 Midterm
9 Orthogonality, Gram Schimidt Process
10 Eigenvalue and Eigenvector
11 Diagonalization
12 Applications:Dynamical Systems
13 Linear Transformations, kernal and Range of a linear transformation
14 Review

Recomended or Required Reading

Introductory Linear Algebra An Applied First Course (8th edition) by Bernard Kolman, David Hill. Pearson
Linear Algebra and Its Applications (5th ed.) David C. Lay, Stephan R. Lay, Judi McDonald. Pearson

Planned Learning Activities and Teaching Methods

Literature review, Solving problems, Presentation and discussion, Assignments, Case studies

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60


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

Further Notes About Assessment Methods

None

Assessment Criteria

In relation to mathematics topics at undergraduate level , skills and competencies in having knowledge , research, interpretation, verbal and written expression, solving problems will be evaluated.

Language of Instruction

English

Course Policies and Rules

The minimum rate of attendance for the course is 70 per cent.

Contact Details for the Lecturer(s)

Asst. Prof. Dr. Hande Tunçel Gölpek
phone:0232 301 88 22
e-mail: hande.tuncel@hotmail.com

Office Hours

To 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 4 56
Preparation for midterm exam 1 5 5
Preparation for final exam 1 5 5
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 126

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17
LO.15353
LO.25353
LO.35353
LO.45353
LO.55353

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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