Semester: | 1st |
Course Type: | Mandatory |
Course Code: | Y1204 |
eClass URL | ➽ |
Hours per Week | |
- Lecturing: | 4+2* |
- Practical/Lab Exersices: | - |
Total Hours of Fieldwork Exersice: | - |
ERASMUS: | ✘ |
ECTS: | 6 |
Teaching Units: | 6 |
Prerequisites: | - |
Expected Prior Knowlegde: | - |
*4 teaching hours, 2 tutorials hours
The purpose of the course is for students to acquire the ability to handle basic algebra and analysis tools that will help them in the computational part of their work. In this context, basic concepts of Linear Algebra and Integral and Differential Calculus are taught in this course.
Basic definitions of matrices, matrix operations, matrix inverse, solving systems using inverses, determinants of matrices, properties of determinants, finding inverse matrix using adjoint, solving systems using Cramer's method, Eigenvalues and eigenvectors - definitions and properties, eigenspaces, Characteristic polynomial, matrix similarity, diagonalization, Cayley-Hamilton Theorem; Derivative of a function, geometric interpretation, rules of derivation, derivative of a complex function, limit of a function, l'Hospital rules; Indefinite integral- definition and properties, methods of integration; Definite integral- definition and properties, calculation of definite integral, Generalized integrals, applications; Functions of many variables. Partial derivative, higher order derivatives, calculation of partial derivatives; Least squares method; Double integral- definition and properties, calculation of double integral (Cartesian-polar coordinates), contour integral, applications.