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1
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1
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Sep 25, 2024
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14:00
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2
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Kl: B - 137
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Number sets, sequences of numbers, basic notions and properties of the sequences, limit of a sequence.
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prof. RNDr. Jiří Neustupa, CSc.
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2
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1
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Oct 2, 2024
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14:00
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2
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Kl B - 137
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More on the set of complex numbers, operations with complex numbers. Series of real and complex numbers, sum of a series, comparison test for convergence. Power series.
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prof. RNDr. Jiří Neustupa, CSc.
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3
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1
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Oct 9, 2024
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14:00
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2
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Kl:B - 137
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Real function of one real variable, basic notions, operations with functions, composite and inverse function, survey of elementary functions.
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prof. RNDr. Jiří Neustupa, CSc.
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4
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1
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Oct 16, 2024
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14:00
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2
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Kl B - 137
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Limit of a function, basic properties. Improper limits and limits in improper points. Continuity of a function at a point and in an interval, properties of continuous functions.
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prof. RNDr. Jiří Neustupa, CSc.
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5
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1
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Oct 23, 2024
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14:00
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2
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Kl B - 137
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Derivative of a function, geometrical and physical meaning, basic properties and formulas for derivatives of a sum, difference, product and quotient of two functions. Derivative of a composite and inverse function. Derivatives of elementary functions.
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prof. RNDr. Jiří Neustupa, CSc.
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6
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1
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Oct 30, 2024
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14:00
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2
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Kl B - 137
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L’Hospital’s rule. Higher order derivatives. Investigation of local and global extremes of functions by means of the derivative.
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prof. RNDr. Jiří Neustupa, CSc.
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7
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1
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Nov 6, 2024
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14:00
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2
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Kl B - 137
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Vertical and slant asymptotes of the graph of a function. Behavior of a function. Differential of a function.
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prof. RNDr. Jiří Neustupa, CSc.
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8
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1
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Nov 13, 2024
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14:00
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2
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Kl B - 137
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Taylor’s polynomial. Taylor’s series. Concrete examples: Taylor’s polynomials and Taylor’s series of the exponential function and the functions sin x and cos x.
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prof. RNDr. Jiří Neustupa, CSc.
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9
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1
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Nov 20, 2024
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14:00
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2
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Kl B - 137
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Vector space. Linear combination of vectors. Linear dependence and independence of vectors. Basis and dimension of a vector space.
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prof. RNDr. Jiří Neustupa, CSc.
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10
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1
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Nov 27, 2024
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14:00
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2
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Kl B - 137
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Subspace of a vector space. Linear hull of a group of vectors. Matrices, types of matrices, operations with matrices. Rank of a matrix, finding the rank.
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prof. RNDr. Jiří Neustupa, CSc.
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11
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1
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Dec 4, 2024
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14:00
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2
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Kl B - 137
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A square matrix, identity matrix, inverse matrix, regular and singular matrices. Determinant of a square matrix, methods of evaluation.
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prof. RNDr. Jiří Neustupa, CSc.
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12
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1
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Dec 11, 2024
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14:00
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2
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Kl B - 137
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Relation between the determinant and the existence of an inverse matrix. Methods of evaluation of the inverse matrix. System of linear algebraic equations, homogeneous and inhomogeneous system.
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prof. RNDr. Jiří Neustupa, CSc.
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13
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1
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Dec 18, 2024
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14:00
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2
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Kl B - 137
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Structure of the set of all solutions of the hoimogeneous and inhomogeneous system of linear algebraic equations. Gauss elimination method.
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prof. RNDr. Jiří Neustupa, CSc.
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14
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1
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Jan 8, 2025
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14:00
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2
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Kl B - 137
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Frobenius’ theorem. Cramer’s rule. Eigenvalues and eigenvectors of squate matrices.
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prof. RNDr. Jiří Neustupa, CSc.
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