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Class Notes And Worksheets For Calculus: Early Transcendentals, Bikash Das, Hashim Saber Oct 2019

Class Notes And Worksheets For Calculus: Early Transcendentals, Bikash Das, Hashim Saber

Mathematics Ancillary Materials

This set of Calculus 1 Lecture Notes and Worksheets was created under a Round Thirteen Mini-Grant for Ancillary Materials Creation and Revision. These materials were created to supplement the Lyrix version of Calculus: Early Transcendentals (https://lyryx.com/calculus-early-transcendentals/).

Topics covered include:

  • Limits;
  • Derivatives;
  • Differentiation;
  • Differentials;
  • Integrals and Integration.


Spacetime Groups, Ian M. Anderson, Charles G. Torre Jan 2019

Spacetime Groups, Ian M. Anderson, Charles G. Torre

Publications

A spacetime group is a connected 4-dimensional Lie group G endowed with a left invariant Lorentz metric h and such that the connected component of the isometry group of h is G itself. The Newman-Penrose formalism is used to give an algebraic classification of spacetime groups, that is, we determine a complete list of inequivalent spacetime Lie algebras, which are pairs (g,η), with g being a 4-dimensional Lie algebra and η being a Lorentzian inner product on g. A full analysis of the equivalence problem for spacetime Lie algebras is given which leads to a completely algorithmic solution to the …