The numbers refer to the problems of the book:
M. Laczkovich, V. T. Sós: Real Analysis (Series, Functions of Several Variables and Applications)
# | Date (2018) | Problems |
1 | 05.02. | Review of materials of the previous semester (problems, solutions in Hungarian) |
2 | 12.02. | 1.3 Convergence of point sequences: 1.2, 1.5, 1.6, 1.7 1.4 Basics of point set theory: 1.8, 1.12, 1.13, 1.17, 1.20, 1.21, 1.26 |
3 | 19.02. | 1.4 Basics of point set theory: 1.15, 1.22, 1.33 1.5 Limits: 1.43 a, b, c, d, e, f, i, l 1.6 Continuity: 1.46 |
4 | 26.02. | 1.7 Partial derivatives: 1.64, 1.65, 1.66, 1.70, 1.73, 1.76 |
5 | 05.03. | 1.8 Differentiability: 1.80 a, b, f, m, o, 1.88, 1.89, 1.93 1.10 Applications of differentiation: 1.103 |
6 | 12.03. | 1.10 Applications of differentiation: 1.102 (Find only second Taylor polynomials) Ch. 2 Functions from R^p to R^q: 2.1, 2.8, 2.9, 2.11, 2.12 |
7 | 19.03. | 2.4 Lagrange multiplier method: 2.21, 2.22, 2.23, 2.24 |
8 | 26.03. | Ch. 3 The Jordan measure: 3.1, 3.2 |
9 | 09.04. | Ch. 4 Integrals of multivariable functions I |
10 | 16.04. | Ch. 4 Integrals of multivariable functions I: 4.1, 4.6/a-e, 4.7, 4.11, 4.13, 4.14, 4.17, 4.18, 4.19 |
11 | 21.04. | Ch. 5 Integrals of multivariable functions II |
12 | 23.04. | |
13 | 07.05. | Ch. 7 Sequences and Series of Functions; |
14 | 14.15. | Ch. 8 Sequences and Series of Functions; Fourier series |