Class 5

29 Fevereiro 2016, 08:00 • João Janela

Limits in Rn. Alternative definitions according tio Heine and to Cauchy.

Basic properties of limits.

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Exercises (symmetric matrices, domain and topology of functions in Rn)

25 Fevereiro 2016, 10:00 • GILSON INÁCIO DUARTE SOARES SILVA

Exercices of List 1:

1.6 a), b), c), e), f), h)

Ecercices of List 2:

2.1 a), d)

2.2 a), b)

2.3 b)

2.4

 

 

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Class 4

23 Fevereiro 2016, 08:00 • João Janela

Topological concepts. Limit points and limit sets. Bounded and unbounded sets. Compact sets.

Sequences in Rn. Convergence of sequences. Calculation of limits of sequences.

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Class 3

22 Fevereiro 2016, 08:00 • João Janela

Functions of several variables.

Domain, image, graphic.

Examples of graphical representation.

Distance, balls in Rn, topology.

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Exercises: Eigenvalues and Eigenvectors. Quadratic forms.

18 Fevereiro 2016, 10:00 • GILSON INÁCIO DUARTE SOARES SILVA

Exercices:

1.1 a), b), g)

1.2 a),b),c)

1.4 a), b), c), d), e)

1.5 a), d)

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