Sumários

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6 Outubro 2022, 11:00 Carlos da Camara

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Lesson 4 – 04/10/2022

4 Outubro 2022, 11:00 Carlos da Camara

Deformation. Continuity. Motion. Material and spatial description.

Support material

Gyarmati, I. (1970) Non-Equilibrium Thermodynamics: Field Theory and Variational Principles, Engineering Science Library, Springer, New York, Chapter 1: Fundamental concepts of field theories, pp. 4-14

Homework

Problems 12-17


Lesson 3 – 29/09/2022

29 Setembro 2022, 11:00 Carlos da Camara

Einstein’s notational convention. The Kronecker delta symbol. Permutations. The Levi-Civita symbol. Relation between the Kronecker delta and the Leviti-Civita symbols. Identities in vector algebra. Identities in vector fields.

Support material

Yiu, C., Wilde, C.O. (1979) The Levi-Civita tensor and identities in vector analysis. Modules and Monographs in UMAP Project Unit 427, Education Development Center, Inc., Newton, Mass., National Science Foundation, Washington, D.C., pp. 1-16

Homework

Problems 27-33


Lesson 2 – 27/09/2022

27 Setembro 2022, 11:00 Carlos da Camara

The Del operator. The gradient. Flux. The divergence. Gauss’ divergence theorem. Line integrals. The curl. Stokes’ theorem.

Support material

Shadowitz, A. (2010) The Electromagnetic Field. Dover Publications, New York – Chapter1: The Del operator, pp. 1-55


Lesson 1 – 20/09/2022

20 Setembro 2022, 11:00 Carlos da Camara

Scope of the course.

Grading: Final exam (40%) + Paper presentation (40%) + Homework (20%)

Hydrologic cycle. Systems concept. Hydrologic system model. Hydrologic model classification.

Support material

Chow, V.T., Maidment, D.R. and Mays, L.W. (1988) Applied Hydrology. International Edition, McGraw-Hill Book Company, New York – Chapter1: Introduction, pp. 1-19

Homework

Problems 1-11