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Calculus 2 (BMETE92AM37), Exercises for practice
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Calculus 2 (BMETE92AM37), Exercises for practice

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