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FAST-BAA008Acad. year: 2024/2025
Linear algebra (basics of matrix calculus, rank of a matrix, solution of linear systems by Gauss elimination method). Inverse matrix, determinants. Eigenvalues and eigenvectors of a matrix.Geometrical vectors in three dimensional Euclidean space, operations with vectors. Applications of vector calculus in spherical trigonometry. Vector space, base, dimension, coordinates of a vector. Application of vector calculus in analytic geometry.Real function of one real variable, limit and continuity of a function (basic notions and properties), derivative of a function (geometrical and physical meaning, techniques of differentiation, basic theorems on derivatives, higher order derivatives, sketching the graph of a function, differentials of a function, Taylor expansion of a function).
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