COURSE INFORMATION
Course Title: ADVANCED NUMERICAL METHODS
Code Course Type Regular Semester Theory Practice Lab Credits ECTS
CE 442 A 2 4 0 0 3 7.5
Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature) NA
Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours: Enea Mustafaraj
Second 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
Classroom and Meeting Time:
Course Description: -
Course Objectives: This course aims to improve the students with skills on numerical methods rather than programming only. Several mathematical tools that students will find useful will be covered. The students will be able to simplify complex problems by writing them in elegant ways such as 'Ax=b' using Taylor Expansion formulas.
COURSE OUTLINE
Week Topics
1 Introduction
2 Analysis of uncertain data
3 Uncertainty analysis
4 Sensitivity analysis
5 Introduction to MATLAB
6 Systems of Linear Algebraic Equations (1)
7 Midterm exam
8 Systems of Linear Algebraic Equations (2)
9 Interpolation and Curve Fitting, Roots of Equations
10 Numerical Differentiation, Numerical Integration
11 Initial Value Problems
12 Two-Point Boundary Value Problems
13 Symmetric Matrix Eigenvalue problems
14 Introduction to Optimization
Prerequisite(s):
Textbook: 1- Numerical Methods for Engineers - Chapra, Steven C., Canale, Raymond P. Seventh edition, McGraw-Hill Education. 2- Numerical Methods in Engineering with MATLAB - Kiusalaas, Jann. Second Edition, Cambridge University Press.
Other References:
Laboratory Work:
Computer Usage:
Others: No
COURSE LEARNING OUTCOMES
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.
COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES
(Blank : no contribution, 1: least contribution ... 5: highest contribution)
No Program Competencies Cont.
MSc in Civil Engineering, Profile: Structural Engineering Program
1 an ability to apply knowledge of mathematics, science, and engineering 5
2 an ability to design a system, component, or process to meet desired needs 5
3 an ability to function on multidisciplinary teams 5
4 an ability to identify, formulate, and solve engineering problems 5
5 an understanding of professional and ethical responsibility 1
6 an ability to communicate effectively 5
7 the broad education necessary to understand the impact of engineering solutions in a global and societal context
8 a recognition of the need for, and an ability to engage in life long learning
9 a knowledge of contemporary issues
10 an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
11 skills in project management and recognition of international standards and methodologies
COURSE EVALUATION METHOD
Method Quantity Percentage
Presentation
1
15
Project
2
15
Final Exam
1
55
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) 16 8 128
Mid-terms 0
Assignments 0
Final examination 1 11.5 11.5
Other 0
Total Work Load:
187.5
Total Work Load/25(h):
7.5
ECTS Credit of the Course:
7.5