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5 O p e r a t o r P r e c e d e n c e........... 6 B e C a r e f u l!............ 7 C o m m o n M a t h e m a t i c a l F u n c t i o n s.........

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8 D a t a M a n i p u l a t i o n C o m m a n d s......... 9 A d v a n c e d T o p i c: M u l t i d i m e n s i o n a l A r r a y s....... 1 0 B e A b l e T o D o........... 1 1 B o u n d a r y - V a l u e O r d i n a r y D i ff e r e n t i a l E q u a t i o n s......

1 0 6 1 2 P o l y n o m i a l s a n d P o l y n o m i a l F u n c t i o n s........ 1 1 0 1 3 N u m e r i c a l O p e r a t i o n s o n F u n c t i o n s........ 1 1 2 1 4 D i s c r e t e F o u r i e r T r a n s f o r m.......... 1 1 5 1 5 M a t h e m a t i c a l F u n c t i o n s A p p l i e d t o M a t r i c e s....... 1 2 2 A p p e n d i x: R e f e r e n c e T a b l e s.......... 1 2 5 S o l u t i o n s T o E x e r c i s e s...........

1 3 7 A S C I I T a b l e............. 1 3 9 I n d e x.............. It contains a wide variety of toolboxes which allow it to perform a wide range of applications from sci- ence and engineeri ng. Since users can write their own toolboxe s, the bread th of applic ations is quite amazing. Mathematics is the basic building block of science and engineering, and MATLAB makes it easy to handle many of the computations involved.

Y ou should not think of MATLAB as another complication program- ming language, but as a powe rful calculator that gives you fingert ip acces s to explo ring interes ting prob- lems in scienc e, engineerin g, and math emat ics. And this access is av ailable by using only a small num ber of comm ands and funct ion.

Because MATLAB’s basic data element is a matrix (or an array). This is a crucial feature of MATLAB — it was designed to group large amounts of data in arrays and to perform mathema tical operatio ns on this data as individ ual arrays rather than as groups of data.