Physics equations/00-Mathematics for this course

About the textbookEdit

This resources uses, openstax Physics, an open source textbook available for free at http://cnx.org/content/col11406/1.7) Most sections of the Physics equations have a link to the appropriate chapter.

This section is an exception, since openstax Physics has no such review.

Equations found on Physeq templatesEdit

RiemannSum
  •   is the Riemann sum representation of the integral of f(x) from x=a to x=b. It is the area under the curve, with contributions from f(x)<0 being negative (if a>b). The sum equals the integral in the limit that the widths of all the intervals vanish (Δxj→0).
UnitVectors
  • A unit vector is any vector with unit magnitude equal to one. For any nonzero vector,   is a unit vector. An important set of unit vectors is the orthonormal basis associated with Cartesian coordinates:
  •  
  •  
  • The basis vectors   are also written as  , so that any vector may be written  . Even more elegance is achieved by labeling the directions with integers:    
DotProduct
  •   is the dot product between two vectors separated in angle by θ.
CrossProductVisual
  •   is the cross product of   and  . The cross product,   is directed perpendicular to   and   by the right hand rule.
  •   wehre   is the angle between vectors   and  .
  •   is also the magnitude of the of the parallelogram defined by the vectors   and  .
  •   if   and   are either parallel or antiparallel.
  • The unit vectors obey  ,  , and  .

Wikiversity resourcesEdit

CALCULUS-based Wikiversity resourcesEdit

  • Vector calculus Vector derivatives. Gradient, div, and stokes theorems.
  • Coordinate systems Designed to facilitate a simple understanding of line, surface and volume integrals.
  • Coulomb's Law Introduces the Coulomb integral using a line charge. It then extends this result to a plane charge using a double integral.

WikibooksEdit

CALCULUS-based WikibooksEdit

Wikipedia articlesEdit

CALCULUS-based Wikipedia articlesEdit

Links outside WikimediaEdit

  • oregonstate BridgeBook a wiki focusing on the undergraduate physics major.
  • UC Davis physwiki Not much material but the wikis are first rate. Part of a suite that includes other subjects.
  • openstax Physics Commercial quality (and massive) algebra/trig based textbook, nominally the one used for this course. This book can be accessed as a wiki and edited; the only reason for doing so would be to re-write it as a calculus based text.