Physics equations/00Mathematics for this course
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About the textbook
[edit  edit source]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.
 See also Calculus review and Fundamental theorem of calculus
Equations found on Physeq templates
[edit  edit source]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 (Δx_{j}→0).

Left sum

Right sum

Middle sum
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 resources
[edit  edit source] Vectors Has most of what you need to get started and a bit of what you do not need.
 Topic:Trigonometry Concise.
 Trigonometry Parallel Wikiversity effort
 Trigonometry/Polar Relevant to this course
CALCULUSbased Wikiversity resources
[edit  edit source] 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.
Wikibooks
[edit  edit source] b:Subject:Physics an impressive list is growing. If a book is listed as "featured" it is probably good. If it is not classified as "complete" it probably very incomplete.
 b:Physics Study Guide a featured book
 b:FHSST_Physics a featured high school textbook
CALCULUSbased Wikibooks
[edit  edit source] b:Calculus Seems to be first rate.
 b:Engineering_Tables#Mathematical_Tables
Wikipedia articles
[edit  edit source] w:Linear_equation#Algebraic_equations misplaced but interesting list of pages.
 w:Elementary_algebra Fun to skim if you already know the subject.
 w:List_of_trigonometric_identities a really long list
 w:Euclidean vector
 w:Dot product
 w:Cross product
 w:Vector algebra relations Encyclopedic but useful and convenient.
 w:Vector_(mathematics_and_physics) A wide assortment of entities are called "vectors".
 w:Riemann sum. Everybody needs to know something about the Riemann sum.
CALCULUSbased Wikipedia articles
[edit  edit source] w:Differentiation rules Long and complete list of rules associated with first semester calculus.
 w:Vector calculus Advanced. Everything you need in a calculusbased first year physics course.
 w:Del_in_cylindrical_and_spherical_coordinates Long list of essential identities regarding the operator.
 w:Vector calculus identities Encyclopedic list.
 w:Surface integral an honest look at a difficult topic
Links outside Wikimedia
[edit  edit source] 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 rewrite it as a calculus based text.