1. COURSE INFORMATION:
School  Environmental Engineering  
Course Level  Undergraduate  
Course ID  MATH 201  Semester  2^{nd} 
Course Category  Required  
Course Modules  Instruction Hours per Week  ECTS  
Lectures and Laboratory Exercises  5 Th=4, E=0, L=1  6  
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 
This course aims to introduce the basic ideas and techniques of linear algebra for use in many other lecture courses, as well as in solving linear systems that arise from the modeling of natural phenomena. Topics include systems of linear equations and their solutions, matrices and matrix algebra, inverse matrices, determinants; real ndimensional vector spaces, abstract vector spaces and their axioms, linear transformations; inner products (dot products), orthogonality, cross products, and their geometric applications; subspaces, linear independence, bases for vector spaces, dimension, matrix rank; eigenvectors, eigenvalues, matrix diagonalization. Some applications of linear algebra will be discussed, such as linear regression (least squares), elementary Markov chains. Upon successful completion of this course, the student will be able to

General Competencies/Skills 

3. COURSE SYLLABUS
Contents: Introduction to linear algebra and the algebra of vectors and matrices. Direct methods of solving systems of linear equations. Determinants. Vector spaces, subspaces. Linear dependence, independence, basis of a vector space. Fundamental subspaces of a matrix. Eigenvector,eigenvalues. Diagonalization and applications. GramSchmidt process of orthonormalization, least square method. Iterative methods for solving linear systems. Laboratories: Introduction to MATLAB software with emphasis on the problems and the theory of Linear Algebra as well as the linear systems solving algorithms. Supported Operations for Vectors and Matrices. Creating, Concatenating vectors and matrices,expanding matrices. Functions and Subfunctions. 
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  85  
Course Total  150  
Assessment Method  Ι. Written final examination (80%) ΙΙ. Laboratory exercises (20%). 
5. RECOMMENDED READING

6. INSTRUCTORS
Course Instructor:  Associate Professor A. Manoussakis (Faculty  EnvEng)  
Lectures:  Associate Professor A. Manoussakis (Faculty  EnvEng)  
Tutorial exercises:  
Laboratory Exercises:  Associate Professor A. Manoussakis (Faculty  EnvEng) 