COURSE INFORMATION Course Title: ADVANCED NUMERICAL METHODS

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
CEN 545	B	2	3	2	0	4	7.5

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	NA
Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	Dr. Shkëlqim Hajrulla shhajrulla@epoka.edu.al
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Teaching Assistant(s) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Study program: (the study for which this course is offered)	Master of Science in Computer Engineering (2 years)
Classroom and Meeting Time:	A-126 18:00-20:45
Code of Ethics:	Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline"
Attendance Requirement:	N/A
Course Description:	This course will help student understand advanced numerical methods for graduate level studies.
Course Objectives:

BASIC CONCEPTS OF THE COURSE

1	Introduction of advanced numerical methods and use the techniques,
2	Application to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of theory to the solution of differential equations.
3	Solutions of nonlinear equations and systems: advanced methods and engineering tools necessary for engineering practice
4	Intro MATLAB and Python and use the techniques in practice,
5	Numerical methods applied in solving problems
6	Applications of Theory, simulations, graphics, results, conclusions, references.
7	Curve Fitting. Numerical Differentiation.
8	Applications of MATLAB and Python on Partial Differential Equations
9	Advanced Numerical Solutions of the initial value and boundary value problems
10	Engineering graduates with the necessary technical, academic and practical knowledge

COURSE OUTLINE

Week	Topics
1	Introduction in Matlab/Octave
2	Special nonlinear equations. Systems of Linear Algebraic Equations
3	Free fall. Interpolation and Curve Fitting
4	Linear fitting: Hubble Law and Ohm's Law
5	Landing of a spacecraft.
6	Simple Pendulum. Numerical Differentiation.
7	Systems of differential equations.
8	MIDTERM PROJECT
9	Stationary waves in a medium. Numerical Integration
10	Algorithm of Ordering of pages
11	Monte Carlo quadrature
12	Initial Value Problems. Two-Point Boundary Value Problems
13	Maxwell's distribution.
14	Generating random numbers through chaotic processes

Prerequisite(s):	Numerical Analysis MTH 206
Textbook(s):	Numerical Methods in Engineering with MATLAB, Second Edition; Jaan Kiusalaas Programim, Artan Borici (in Albanian)
Additional Literature:
Laboratory Work:
Computer Usage:	Yes
Others:	No

COURSE LEARNING OUTCOMES

1	Applying numerical methods in solving real life problems
2	Versatility in various programming environments
3	Practical abilities acquisition in problem solving
4	Familiarization with numerical methods through specific case studies

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Master of Science in Computer Engineering (2 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.
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
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.
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	Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions.
6	Ability of identifying the potential resources for information or knowledge regarding a given engineering issue.
7	The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence.
8	Ability for effective oral and official communication skills in foreign language.
9	Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology.
10	Engineering graduates with well-structured responsibilities in profession and ethics.
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.
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.

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Homework	2	10
Project	1	30
Case Study	1	10
Term Paper	1	40
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	3	48
Hours for off-the-classroom study (Pre-study, practice)	14	3	42
Mid-terms			0
Assignments	5	19.5	97.5
Final examination			0
Other			0
Total Work Load:			187.5
Total Work Load/25(h):			7.5
ECTS Credit of the Course:			7.5

CONCLUDING REMARKS BY THE COURSE LECTURER

Code of Ethics. Statute of Student Council. Code of Ethics. REGULATIONS-Regulation “Undergraduate Studies and Examinations”. Regulation “On the English Preparatory School”. Regulation “On Student D... etc… Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline"