-to provide students knowledge of the fundamental principles and methods in Tensor Calculus -to enable students to solve practical problems in Tensor Calculus using acquired knowledge in Tensor Calculus -to prepare students to monitoring novelties in science and engineering

-to enable students to master terms, methods and principles in Tensor Calculus -to enable students to relate the knowledge from Tensor Calculus with knowledge in other scientific fields, to apply knowledge from Tensor Calculus in analysis, synthesis and prediction of solutions and consequences of problems in science

Basic basis. Conjugated basis. Components of metric tensor. Dyadic product. Bivalent tensors. Tensors of higher valence. Metric tensor. Simple operations over tensors. Symmetric and anti-symmetric bivalent tensors. Scalar product of tensors. Double scalar product of tensors. Pseudo-tensors. Vector product of tensors. Own vectors and own values. Tensor differentiation. Bivalent tensor derivation. Metric tensor differentiation. Tensor divergences. Orthogonal curvilinear coordinates. Lamé’s coefficients. Christophel’s symbols. Tensor rotor. Laplacian. The application to analytical mechanics and continuum mechanics.

Basic basis. Conjugated basis. Components of metric tensor. Dyadic product. Bivalent tensors. Tensors of higher valence. Metric tensor. Simple operations over tensors. Symmetric and anti-symmetric bivalent tensors. Scalar product of tensors. Double scalar product of tensors. Pseudo-tensors. Vector product of tensors. Own vectors and own values. Tensor differentiation. Bivalent tensor derivation. Metric tensor differentiation. Tensor divergences. Orthogonal curvilinear coordinates. Lamé’s coefficients. Christophel’s symbols. Tensor rotor. Laplacian. The application to analytical mechanics and continuum mechanics.

Defined by the curriculum study of Phd studies program.

Total assigned hours: 65

New material: 30
Elaboration and examples (recapitulation): 20

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 50
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 30

Andjelić T.: Tenzorski račun, Naučna knjiga, Beograd, 1980.; Leko M., Plavšić M.: Rešeni problemi iz tenzorskog računa sa primenama u mehanici, Gradjevinska knjiga, Beograd, 1973.