1. COURSE INFORMATION:
School  Chemical and Environmental Engineering  
Course Level  Undergraduate  
Direction    
Course ID  MATH 201  Semester  3^{rd} 
Course Category  Required  
Course Modules  Instruction Hours per Week  ECTS  
Lectures and Tutorial Exercises  5 Th=4, E=1, L=0  4  
Course Type  General Background  
Prerequisites  
Instruction/Exam Language  Greek  
The course is offered to Erasmus students  No  
Course URL  https//www.eclass.tuc.gr/courses/MHPER313/ (in Greek) 
2. LEARNING OUTCOMES
Learning Outcomes 
The goal of the course is to introduce the basic fundamental ideas and techniques of Linear Algebra, ideas the students will meet in many other basic and advanced courses .The course begins with the algebra of matrices and vectors and then considers methods of solution of Linear systems (some of them are produced by the modeling of physical phenomena).The notions of the inverse and the determinant of a matrix are presented. The notion of vector space (and subspace) is introduced and we learn how these notions are related to linear systems. The notions of linear independents, basis and dimension are defined. We discuss complemented subspaces, and how to find projections onto them. The notions of eigenvalue and eigenvector is introduced. We study the diagonalization of a matrix and the method of least squares The last section contains the basic recursive methods of solution of linear systems. With the successful completeness of the course the student is in a position to:

General Competencies/Skills 

3. COURSE SYLLABUS

4. INSTRUCTION and LEARNING METHODS  ASSESSMENT
Lecture Method  Direct (face to face)  
Use of Information and Communication Technology  Specialized software, Eclass support  
Instruction Organisation  Activity  Workload per Semester (hours)  
 Lectures  52  
 Lab assignments  13  
 Autonomous study  35  
Course Total  100  
Assessment Method  Written final examination (100%) or Written final examination (85%) and midterm exams (15%) 
5. RECOMMENDED READING

6. INSTRUCTORS
Course Instructor:  Professor G. Karatzas (Faculty  ChEnvEng), Assistant Professor N. Diangelakis (Faculty  ChEnvEng)  
Lectures:  Professor G. Karatzas (Faculty  ChEnvEng), Assistant Professor N. Diangelakis (Faculty  ChEnvEng)  
Tutorial exercises:  Professor G. Karatzas (Faculty  ChEnvEng), Assistant Professor N. Diangelakis (Faculty  ChEnvEng)  
Laboratory Exercises: 