COURSE UNIT TITLE

: LINEAR ALGEBRA II

DEGREE PROGRAMMES

Description of Individual Course Units

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

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SALAHATTIN ÖZDEMIR

Offered to

Mathematics (Evening)
Mathematics

Course Objective

The focus of this course will be on abstract vector spaces, linear operators, canonical forms, inner product spaces and bilinear forms. Students will be expected to learn the important theorems of linear algebra and understand their proofs.

Learning Outcomes of the Course Unit

1   be able to identify eigenvalues and related eigenvectors.
2   be able to operate diagonalization.
3   be able to use linear operators.
4   be able to find the Jordan form of a matrix.
5   be able to define inner product spaces.
6   be able to apply inner product operation to Gram Schmidt orthogonalization process.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Polynomials. Invariant Subspaces.
2 Eigenvectors and Eigenvalues.
3 Triangular Form. Nilpotent Operators.
4 Jordan Canonical Form.
5 Polynomials of Matrices and Linear Operators.
6 Minimal Polynomials. Midterm Exam -1
7 Inner Product Spaces. Orthogonality.
8 Gram-Schmidt's Orthogonalization Process.
9 Linear Operators and Functionals on Inner Product Spaces.
10 Unitary Operators. Commutative Linear Operators.
11 Normal Operators. Orthogonal Projections.
12 Spectral Theory. Midterm Exam -2
13 Positive Operators. Polar Decomposition.
14 Bilinear Forms.

Recomended or Required Reading

Textbook(s): Linear Algebra: A Geometric Approach, 2nd Edition; T. Shifrin, M.R. Adams, W.H. Freeman and Company, New York, 2010.

Supplementary Book(s):
1-Introduction to Linear Algebra, 5th Edition; Gilbert Strang, Wellesley-Cambridge Press, 2016.
2-Linear Algebra, 2nd Edition; Serge Lang, ADDISON-WESLEY PUBLISHING COMPANY.
3-Linear algebra, 4th Edition; S.H.Friedberg, A.J.Insel, L.E.Spence, Pearson, 2014.

Materials: Instructor's lecture notes and presentations

Planned Learning Activities and Teaching Methods

Lecture notes.
Problem solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE 1 MIDTERM EXAM 1
2 MTE 2 MIDTERM EXAM 2
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE1 * 0.30 + MTE2 * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE1 * 0.30 + MTE2 * 0.30 + RST * 0.40


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

Further Notes About Assessment Methods

None

Assessment Criteria

2 Midterm Exams
Final Exam

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

e-posta: salahattin.ozdemir@deu.edu.tr
Telefon: (232) 301 8608

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 2 28
Preparation for final exam 1 40 40
Preparation for midterm exam 2 20 40
Final 1 2 2
Midterm 2 2 4
TOTAL WORKLOAD (hours) 170

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.1544343
LO.2544353
LO.3534343
LO.443434
LO.554434
LO.654434

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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