Schedule SS 2016/2017
Matematika IV (15bNMMA704x01) - cvičení
Komplexni cisla
Linearni diferencni rovnice
Mathematics II (NMMA712) - course
Lecture texts: printout version, presentation.
Textbooks: book 1, book 2.
lecture 1 (21.2.2017) - the space Rn, Euclidean metric and its properties, open sets in Rn, interior, properties of open sets,
boundary, closure, closed set in Rn, convergence of sequences in Rn, "coordinatewise" convergence, characterisation of closed sets
lecture 2 (22.2.2017) - characterisation of closed sets, properties of closed sets, bounded sets
lecture 3 (28.2.2017) - review; functions of several variables - continuity, continuity of composed function, Heine theorem
lecture 4 (1.3.2017) - coordinate projections, level sets of continuous functions, compact sets in Rn
lecture 5 (7.3.2017) - characterisation of compactness in Rn, extrema of continuous functions on compact sets, limits of functions of several variables
lecture 6 (8.3.2017) - partial derivatives, necessary condition for a local extremum, functions of class C1
lecture 7 (14.3.2017) - weak Lagrange theorem
lecture 8 (15.3.2017) - tangent hyperplane, continuity of C1 functions
lecture 9 (21.3.2017) - chain rule
lecture 10 (22.3.2017) - gradient, critical point, partial derivatives of higher order
lecture 11 (28.3.2017) - implicit function theorem
lecture 12 (29.3.2017) - implicit functions theorem
lecture 13 (4.4.2017) - Lagrange multipliers theorem
lecture 14 (5.4.2017) - finding extrema of functions
lecture 15 (11.4.2017) - concave functions, quasi-concave functions
lecture 16 (12.4.2017) - overview of matrix calculus
lecture 17 (18.4.2017) - overview of matrix calculus
lecture 18 (19.4.2017) - overview of matrix calculus
lecture 19 (25.4.2017) - antiderivatives
lecture 20 (26.4.2017) - antiderivatives - integration by parts, integration of rational functions
lecture 21 (2.5.2017) - antiderivatives - integration by parts, integration of rational functions
lecture 22 (3.5.2017) - Riemann integral
lecture 23 (9.5.2017) - Infinite series
lecture 24 (10.5.2017) - Infinite series
Old tests - Kalenda
Old tests - Zeleny
Subsets of Euclidean space
Lagrange multiplier
Implicit function
Matrixes
Integral
Několik užitečných rad a odpovědí na často kladené otázky.
Odpovědi na některé připomínky studentů IES ke kurzům matematiky.