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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MEN 2031 MATHEMATICS III COMPULSORY 4 0 0 4

Offered By

Marine Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASISTANT PROFESSOR HANDE TUNÇEL GÖLPEK

Offered to

Marine Engineering

Course Objective

Linear equations and matrices, Real vector spaces, Inner product spaces. Linear transformations and matrices, Determinants, Eigenvalues and Eigenvectors.

Learning Outcomes of the Course Unit

1   An ability to apply knowledge of mathematics 2   An ability to analyze and interpret data 3   An ability to identify, formulate and solve engineering problems 4   Comprehension of how to apply to solve different engineering problems. 5   to analyze problems in different forms

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 System of linear equations, matrices, matrix operations, special types of matrices 2 Echelon form a matrix, elementary matrices, finding the inverse of a matrix 3 Equivalent matrices, real vector spaces 4 Vectors in the plane and in 3-space, subspaces 5 Linear independence, basis and dimension 6 Coordinates and isomorphisms, homogeneous systems, rank of a matrix Inner product spaces 7 Midterm 8 Gram-Schmidt process, linear transformations 9 Kernel and range of a linear transformations 10 Kernel and range of a linear transformations 11 Matrix of a linear transformations 12 Determinants, cofactor expansion, inverse of a matrix 13 Other applications of determinants, Eigenvalues and Eigenvectors 14 Supplementary exercises, diagonalization

Recomended or Required Reading

1. Elementary Linear Algebra, Bernard Kolman, Prentice Hall, 1996 2. David C. Lay, Linear Algebra and its Applications, Addison Wesley Longman, 2003. 3. Lineer Cebir I-II-III Fasiküller, Birsen Kitapevi Yayınları, 2000. 4. Bernard Kolman, David R. Hill, Elemantary Linear Algebra, Prentice Hall, 8th ed. 2001.

Planned Learning Activities and Teaching Methods

Cooperative and active teaching and learning strategies

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

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 13 1 13 Preparation for midterm exam 1 5 5 Preparation for final exam 1 10 10 Preparation for quiz etc. 1 5 5 Preparing assignments 1 5 5 Final 1 2 2 Midterm 1 2 2 Quiz etc. 1 1 1 TOTAL WORKLOAD (hours) 95

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 PO.16 PO.17 PO.18 PO.19 PO.20 LO.1 5 5 5 5 LO.2 5 5 5 LO.3 5 5 5 5 5 5 LO.4 5 5 5 5 5 5 LO.5 5 5 5 5 5 5