# Physics equations/00-Mathematics 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).

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

### CALCULUS-based 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

### CALCULUS-based 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.

### CALCULUS-based 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 calculus-based 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 re-write it as a calculus based text.