| GENERAL INFORMATION: | Instructors: Schinas Christos |
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| CREDITS: | ECTS Units: 5 Teaching Units: 5 Theory Hours: 3 Exercises Hours: 2 Lab Hours: 0 |
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| COURSE PAGE: | https://eclass.duth.gr/courses/TMA298/ | |
Course Description |
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| Differentiation and integration of functions of one variable and applications. Definitions of functions, limits and continuity. Rules of differentiation and applications to graphs, limits, approximations and extrema of functions. Definite and indefinite integral. Basic theorems of Calclulus. Integration techniques. Applications of integration in Geometry and Physics. Approximations of definite integrals. Improper integrals. Definitions, improper integrals of the first and the second type and of mixed type, convergence criteria, conditional convergence. Series of real numbers: definitions, criteria of convergence, absolute convergence, conditional convergence. Alternating (positive and negative) terms series, range and interval of convergence. Differentiation and integration of power series. Taylor series and Mac-Laurin series. Vector spaces. Linear dependence and linear independence. Basis and dimension of a vector space. Matrices and determinants. Rank of a matrix. Inverse matrix. Linear systems. Characteristic equation of a table. Eigenvalues and eigenvectors. Jordan canonical form. Lines and planes. Square curves and surfaces. | ||
