| |
Topic |
details |
D
A
Y1 |
Mathematica
FRONT END,
I |
- math vs. mathematica
- kernel vs. front end
- pointer/cursor, Return/Enter
|
Basic
Mathematical
Operations
(NOTEBOOK) |
- Sin, Cos, Log,
ArcTan, Exp
- Algebraic manipulation: Factor, Simplify,
Together, ...
- Sum, Product, Series
- D y'[t] vs. D[y,t]
- Integrate, Solve, DSolve
- Statistics:
Mean, Median, Variance, ...
|
|---|
ANALYTIC
vs
NUMERICAL
(NOTEBOOK) |
- calculator. real/complex. N
- Solve and NSolve
- DSolve and NDSolve
- Integrate and NIntegrate
- Plots. Tables.
|
|---|
| SYNTAX |
-
Syntax tips
- everything is an *expression* -- FullForm, Head
- display forms: InputForm, OutputForm,
StandardForm, TraditionalForm
|
|---|
D
A
Y2 |
LISTS,
VECTORS,
LINEAR
ALGEBRA
(NOTEBOOK) |
- delimiters for {list}, [[element]]
- Take, Drop, Append, Part, Length, Min, Max
- Table
- Map, Apply
- vector/matrix/tensor; dot product
- Inverse, Det, Transpose, IdentityMatrix
- MatrixForm, TableForm
|
Mathematica
FRONT END,
II
(NOTEBOOK) |
- cut/copy/paste
- cells: brackets, open/close, evaluate
- save notebook
- using palettes
- Special Keys:
- Enter, Abort
- type of cell: Alt[1-7]
- greek letters: keyboard entry (Esc?Esc)
- super/sub/over/under/normal: Ctrl-[^_7= ]
- in-text formula: Ctrl-( and Ctrl-)
|
|---|
GRAPHICS
(NOTEBOOK) |
- Plot, ListPlot
- Plot3D, ListPlot3D
- Show
- ParametricPlot, ParametricPlot3D
- PlotVectorField
|
|---|
D
A
Y3 |
INPUT/
OUTPUT,
data files
(NOTEBOOK) |
- ReadList
- Directory, FileNames, SetDirectory
|
Functional
Programming
(NOTEBOOK) |
- built-in functions are all capitalized
- General / specific definitions;
f[x_]= vs. f[x]=
- definitions for a specific number of parameters, e.g.,
N, ArcTan
- immediate/delayed definition;
f[x_]= vs. f[x_]:=
- Clear, Remove
- Block, Module
- iterative functions: Table, Sum, Product
(rather than Do, For)
|
|---|
PACKAGES
(NOTEBOOK) |
- why needed?
- using Needs or Get to load a package
- packages most likely to be needed:
- Get["Graphics`PlotField`"]
- Get["Statistics`"]
- the usual pitfall...
- initialization cells
|
|---|
D
A
Y4 |
Mathematica
FRONT END,
III
(NOTEBOOK) |
- Help browser (online) and books
- Styles and formats, how to customize a notebook
- Tips for presenting or printing a notebook. Magnification.
- student homework; our expectations
- making buttons, palettes, hyperlinks
|
Mathematica
with
other
software
(NOTEBOOK) |
- ReadList for reading text data,
Put or
PutAppend
for writing text data
- TeX -- TexForm
- Fortran, C -- MathLink, FortranForm, CForm
- Netscape: helper app Mathematica
for *.nb files
- save notebook as HTML file
- save graphics as PNG or EPS files
|
|---|
More graphics
(NOTEBOOK) |
- combining graphs with line curves and with points
- text labelling of graphed points
- samples of programming
|
|---|