# Math 300: Mathematical Computing

## LaTeX Math Symbols

### Prepared by L. Kocbach, on the basis of this document (origin: David Carlisle, Manchester University)

File A.tex contains all necessary code
This file is prepared by running
latex A.tex
and cutting the pictures out of the resulting preview. Relevant parts of the latex code are reproduced under each of the pictures.
Some of the symbols have an explanatory text. This text is found in the latex code, mostly stating that they are parts of some spacial setup and cannot be used in standard LaTeX. Each of the figures also has a link to itself.

## Greek Letters

t1.gif
 \alpha               \theta               o                  \tau
\beta                \vartheta           \pi                 \upsilon
\gamma               \gamma              \varpi              \phi
\delta               \kappa              \rho                \varphi
\epsilon             \lambda             \varrho             \chi
\varepsilon          \mu                 \sigma              \psi
\zeta                \nu                 \varsigma           \omega
\eta                 \xi

\Gamma               \Lambda             \Sigma              \Psi
\Delta               \Xi                 \Upsilon            \Omega
\Theta               \Pi                 \Phi



## Binary Operation Symbols

t2.gif
 \pm                  \cap                \diamond                    \oplus
\mp                  \cup                \bigtriangleup              \ominus
\times               \uplus              \bigtriangledown            \otimes
\div                 \sqcap              \triangleleft               \oslash
\ast                 \sqcup              \triangleright              \odot
\star                \vee                \lhd$^b$                    \bigcirc
\circ                \wedge              \rhd$^b$                    \dagger
\bullet              \setminus           \unlhd$^b$                  \ddagger
\cdot                \wr                 \unrhd$^b$                  \amalg
+                    -

$^b$ Not predefined in a format based on {\tt basefont.tex}.
Use one of the style options
{\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.



## Relation Symbols

t3.gif
 \leq                 \geq                \equiv              \models
\prec                \succ               \sim                \perp
\preceq              \succeq             \simeq              \mid
\ll                  \gg                 \asymp              \parallel
\subset              \supset             \approx             \bowtie
\subseteq            \supseteq           \cong               \Join$^b$
\sqsubset$^b$        \sqsupset$^b$       \neq                \smile
\sqsubseteq          \sqsupseteq         \doteq              \frown
\in                  \ni                 \propto             =
\vdash               \dashv              <                   >
:

$^b$ Not predefined in a format based on {\tt basefont.tex}.
Use one of the style options
{\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.



## Punctuation Symbols

t4.gif
 ,            ;           \colon              \ldotp              \cdotp


## Arrow Symbols

t5.gif
 \leftarrow                   \longleftarrow              \uparrow
\Leftarrow                   \Longleftarrow              \Uparrow
\rightarrow                  \longrightarrow             \downarrow
\Rightarrow                  \Longrightarrow             \Downarrow
\leftrightarrow              \longleftrightarrow         \updownarrow
\Leftrightarrow              \Longleftrightarrow         \Updownarrow
\mapsto                      \longmapsto                 \nearrow
\hookleftarrow               \hookrightarrow             \searrow
\leftharpoonup               \rightharpoonup             \swarrow
\leftharpoondown             \rightharpoondown           \nwarrow
\rightleftharpoons           \leadsto$^b$

$^b$ Not predefined in a format based on {\tt basefont.tex}.
Use one of the style options
{\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.



## Miscellaneous Symbols

t6.gif
 \ldots               \cdots              \vdots              \ddots
\aleph               \prime              \forall             \infty
\hbar                \emptyset           \exists             \Box$^b$
\imath               \nabla              \neg                \Diamond$^b$
\jmath               \surd               \flat               \triangle
\ell                 \top                \natural            \clubsuit
\wp                  \bot                \sharp              \diamondsuit
\Re                  \|                  \backslash          \heartsuit
\Im                  \angle              \partial            \spadesuit
\mho$^b$             .                   |

$^b$ Not predefined in a format based on {\tt basefont.tex}.
Use one of the style options
{\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.



## Variable-sized Symbols

t7.gif
 \sum                 \bigcap             \bigodot
\prod                \bigcup             \bigotimes
\coprod              \bigsqcup           \bigoplus
\int                 \bigvee             \biguplus
\oint                \bigwedge



## Log-like Symbols

t8.gif
 \arccos     \cos       \csc      \exp      \ker         \limsup      \min      \sinh
\arcsin     \cosh      \deg      \gcd      \lg          \ln	      \Pr       \sup
\arctan     \cot       \det      \hom      \lim         \log	      \sec      \tan
\arg        \coth      \dim      \inf      \liminf      \max	      \sin      \tanh



## Delimiters

t9.gif
 (                    )                   \uparrow            \Uparrow
[                    ]                   \downarrow          \Downarrow
\{                   \}                  \updownarrow        \Updownarrow
\lfloor              \rfloor             \lceil              \rceil
\langle              \rangle             /                   \backslash
|                    \|


## Large Delimiters

t10.gif
  \rmoustache        \lmoustache         \rgroup            \lgroup
\arrowvert         \Arrowvert          \bracevert


## Math mode accents

t11.gif
 \hat{a}            \acute{a}         \bar{a}           \dot{a}           \breve{a}
\check{a}          \grave{a}         \vec{a}           \ddot{a}          \tilde{a}


## Some other constructions

t12.gif
 \widetilde{abc}                     \widehat{abc}
\overleftarrow{abc}                 \overrightarrow{abc}
\overline{abc}                      \underline{abc}
\overbrace{abc}                     \underbrace{abc}
\sqrt{abc}                          \sqrt[n]{abc}
$f'$                                \frac{abc}{xyz}


The "final exam" for this course will take place at 8:00 AM on Tuesday, 12 December. This will be an ordinary 50 minute test. It will be comprehensive, but weighted toward the latter half of the semester. As always, paper notes will be permitted, but no electronic devices will be allowed. A sample exam is available.

A Solution example is available for the quiz. The solution to Test 1 is still available too.

The ultimate assignment is posted.

Department of Mathematics, PO Box 643113, Neill Hall 103, Washington State University, Pullman WA 99164-3113, 509-335-3926, Contact Us