• HOME
• ABOUT US
  • Name Address
  • General Description
  • Governance
  • Academic Calendar
  • Degree Programmes
  • List of Programmes in English
  • General Admission and Registration Procedures
  • Credit Mobility and Recognition of Prior Learning
  • ECTS Credit Allocation
  • Academic Guidance
  • Contacts
• Degree Programmes
  • Third Cycle Programmes (Doctorate Degree)
  • Second Cycle Programmes (Master's Degree)
  • First Cycle Programmes (Bachelor's Degree)
  • Short Cycle Programmes (Associate's Degree)
• GENERAL INFORMATION FOR STUDENTS
  • Cost of Living
  • Accommodation
  • Meals
  • Medical Facilities
  • Facilities for Disabled Students
  • Insurance
  • Financial Supports
  • Student Affairs Office
  • Practical Information for International Students
  • Language Courses
  • Work Placement Possibilities
  • Sports, Social and Cultural Facilities
  • Student Associations and Clubs
  • About İzmir - Turkey
• INTERNATIONAL RELATIONS
  • International Relations Office
  • Registration Procedures
  • Agreements
  • Coordinators
  • Documents
  • List of Programmes in English
  • ECTS / DS Labels

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS CME 2207 DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA COMPULSORY 4 0 0 5

Offered By

Computer Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR BURCU SILINDIR YANTIR

Offered to

Computer Engineering

Course Objective

The goal of this course is to establish the mathematical background about the fundamental concepts, solution methodologies and technical applications of linear algebra and differential equations.

Learning Outcomes of the Course Unit

1   Understand solution methods of first order ordinary differential equations. 2   Understand the theory and the solutions of higher order linear differential equations with homogeneous and inhomogeneous terms. 3   Understand matrix algebra. 4   Analyze linear transformations. 5   Compute eigenvalues and eigenvectors of a matrix. 6   Solve systems of linear differential equations by matrix exponential function.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Introduction to differential equations, solution curves. First order ordinary differential equations: Seperable differential equations. 2 Homogeneous differential equations, linear differential equations. 3 Bernoulli type nonlinear differential equations, exact differential equations. 4 Integrating factors and non-exact differential equations. 5 Existence and uniqueness theorems of first order differential equations. Applications of first order differential equations. 6 Midterm Exam - I 7 Matrix Calculus: Matrix operations, transpose of a matrix, Symmetric and skew-symmetric matrices. 8 Elementary row operations, inverse of a matrix. Solutions of systems of linear equations by elementary row operations. 9 Determinant, properties of determinant. Cramer s rule. 10 Linear Transformations, image, kernel and associated properties. 11 Matrix representations of linear transformations. 12 Midterm Exam - II 13 Higher order linear differential equations, linear dependence and independence of solutions, representation of solution spaces. Method of Variation of Parameters. 14 Eigenvalues and eigenvectors. Diagonalization. Matrix formulation of systems of linear differential equations and the solutions of systems of linear differential equations by matrix exponential function.

Recomended or Required Reading

1. Lectures on Differential equations, E.Akyıldız, et all, 2012, METU Press. 2. Differential Equations and Linear Algebra, C.H. Edwards, D.E. Penney, Third Edition, 2010, Pearson. 3. Linear algebra with applications, S. J. Leon, Eight edition, 2010, Pearson.

Planned Learning Activities and Teaching Methods

Lecture presentation, application and assignment

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 MTE 1 * 0.30 + MTE 2 * 0.30 + FIN * 0.40 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE 1 * 0.30 + MTE 2 * 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

1.MIDTERM (%30) + 2.MIDTERM(%30) + 3. FINAL EXAM (%40)

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

DEÜ Eng. Fak. Computer Engineering. Tınaztepe Campus Buca-Izmir

Office Hours

TBA

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparing assignments 3 5 15 Preparations before/after weekly lectures 13 2 26 Preparation for final exam 1 16 16 Preparation for midterm exam 2 11 22 Final 1 2 2 Midterm 2 2 4 TOTAL WORKLOAD (hours) 124

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 LO.1 5 3 3 LO.2 5 3 3 LO.3 5 3 4 LO.4 5 3 4 LO.5 5 3 4 LO.6 5 3 3