Vector spaces- Vectors in -Inner product and exterior product.
Equations of a line in space-Parallel lines-Skew lines-Equation of a plane-Distance
from a plane-Equation of sphere.
Sequences and Series-Differential Calculus (limits, continuity, derivative, Taylor
expansion, approximations)-Integral Calculus (definite integral, indefinite integral
with applications)-Integration of rational functions-Fourier Series.
Complex numbers-Modulus and argument-De Moivre’s formula-roots of unity.
Matrices-Operations of matrices-Determinants-Inverse matrix-Systems of linear
equations.
- Teacher: Ιάσων Καραφύλλης
ECTS : 5
Language : el
Learning Outcomes : Students learn the basic concepts of single-variable functions. They learn the basic concepts of linear algebra and analytical geometry. They know how to handle series and calculate generalized integrals. They learn matrices and linear systems as well as vector analysis in three-dimensional space. They also learn the Taylor expansion of a single-variable function, power series, and Fourier series.