|
Academic staff member responsible for the design of the course syllabus
(name, surname, academic title/scientific degree, email address and signature)
|
Dr. Emre Eroğlu eeroglu@epoka.edu.al
|
|
Main Course Lecturer (name, surname, academic title/scientific degree, email address
and signature) and Office Hours:
|
Dr. Emre Eroğlu eeroglu@epoka.edu.al
, Mon 10:00-12:00
|
|
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email
address and signature) and Office Hours:
|
NA
|
| Language: |
English
|
| Compulsory/Elective: |
Compulsory
|
| Study program: (the study for which this course is offered) |
Bachelor in Computer Engineering (3 years)
|
| Classroom and Meeting Time: |
A130 - A131
|
| Teaching Assistant(s) and Office Hours: |
NA
|
| Code of Ethics: |
Code of Ethics of EPOKA University
Regulation of EPOKA University "On Student Discipline"
|
| Attendance Requirement: |
N/A
|
| Course Description: |
The objective of this course is to provide the necessary information about computer engineering and the computer engineering profession. This includes hardware and software components of a computer system, basic computer usage, basics of operating systems, file operations, internet and office applications.
|
| Course Objectives: |
Mathematical topics aimed at applications in engineering. Matrices, operations on them. Row-echelon form. Simultaneous linear equations. Square matrices, determinants, matrix inversion. Vector spaces, subspaces, span, linear independence, change of basis, fundamental subspaces. Eigenvalues and eigenvectors, diagonalization, singular-value decomposition.
|
|
BASIC CONCEPTS OF THE COURSE
|
| 1 |
Matrix Operations
|
| 2 |
Linear systems
|
| 3 |
Vector spaces
|
| Week |
Topics |
| 1 |
Matrices, basic operations: addition, scalar multiplication, matrix transposes and matrix multiplication. |
| 2 |
Elementary row operations. Row echelon form (REF) and reduced row echelon form (RREF) |
| 3 |
Linear systems. Consistency. Simplifying operations. Gaussian elimination and Gauss-Jordan elimination techniques. |
| 4 |
Square matrices, diagonal matrices and triangular matrices. Elementary matrices. |
| 5 |
Matrix inversion by elementary row operations. Solving matrix equations. |
| 6 |
Determinants. Expansion by cofactors. Evaluation by pivotal condensation. |
| 7 |
Vector spaces. Definition of operations and the axioms. Subspaces. |
| 8 |
Midterm exam. |
| 9 |
Span. Linear independence. |
| 10 |
Basis. Change of basis. |
| 11 |
Fundamental subspaces: row space, column space, null space. |
| 12 |
Eigenvalues and eigenvectors. Diagonalization. |
| 13 |
Applications of eigenvalues and eigenvectors. |
| 14 |
Singular value decomposition. |
| 1 |
The students will demonstrate an understanding of the matrix semantics, operations on matrices, to determine the row-echelon form and rank, to solve systems of linear equations, evaluate determinants and find inverses in several methods. |
| 2 |
The students will develop an understanding of vector spaces, subspaces, span, linear independence, basis, change of basis. |
| 3 |
To understand eigenvalues and eigenvectors and solve problems applying these concepts. |
| 4 |
To understand the essence of the diagonalization and its use in matrices. |
| No |
Program Competencies |
Cont. |
| Bachelor in Computer Engineering (3 years) Program |
| 1 |
Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice. |
5 |
| 2 |
Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations |
4 |
| 3 |
Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects. |
3 |
| 4 |
Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies. |
5 |
| 5 |
Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions. |
4 |
| 6 |
Ability of identifying the potential resources for information or knowledge regarding a given engineering issue. |
4 |
| 7 |
The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence. |
5 |
| 8 |
Ability for effective oral and official communication skills in foreign language. |
3 |
| 9 |
Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology. |
3 |
| 10 |
Engineering graduates with well-structured responsibilities in profession and ethics. |
3 |
| 11 |
Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues. |
3 |
| 12 |
Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity. |
4 |
