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3. Mathematica is a general computer software system and language intended for mathematical and other applications. Mathematica is a general computer software system and language intended for mathematical and other applications. Mathematica is an exceptionaly flexible and powerful tool for producing mathematical graphics. Mathematica makes it easy to create graphs of functions, plots of data pictures of geometrical solids, and other mathematical illustration either with built-in functions or with simple programs of our own Mathematica is an exceptionaly flexible and powerful tool for producing mathematical graphics. Mathematica makes it easy to create graphs of functions, plots of data pictures of geometrical solids, and other mathematical illustration either with built-in functions or with simple programs of our own Next

4. A numerical and symbolic calculator where A numerical and symbolic calculator where You type in questions, and Mathematics prints out answers. You type in questions, and Mathematics prints out answers. A visualization system for functions and data. A visualization system for functions and data. A high level programming language in which you can create programs,large and small. A high level programming language in which you can create programs,large and small. A modeling and data analysis environment A modeling and data analysis environment A way to create interactive documents that mix text,animated graphics and sound with active formulas. A way to create interactive documents that mix text,animated graphics and sound with active formulas. Next

6. Mathematica is a very high level language,we call it Fourth Generation Language..because it can do in one step what the other languages (such as Basic, Fortran,Pascal,C ++ )can make it in many steps for example: Mathematica is a very high level language,we call it Fourth Generation Language..because it can do in one step what the other languages (such as Basic, Fortran,Pascal,C ++ )can make it in many steps for example: 4+7 (in Fortran) 4+7 (in Fortran) Read *,a,b Read *,a,b d=a+b d=a+b Print*,a,b,d Print*,a,b,d Stop Stop End End In Mathematica 4+7 11 Next

7. Stephen Wolfram designed Mathematica program,in 1988 Wolfram Research company gave early versions of Mathematica (1.03,1.04,1.1,1.2,…,2.0,2.1,2.2…..,6) Stephen Wolfram designed Mathematica program,in 1988 Wolfram Research company gave early versions of Mathematica (1.03,1.04,1.1,1.2,…,2.0,2.1,2.2…..,6) It is very important to tell that we can use Mathematica under Dos or Mackintosh or windows..every system has special version It is very important to tell that we can use Mathematica under Dos or Mackintosh or windows..every system has special version Next

8. Mathematica Diagram Kernel Front End User Next

9. The kernel is the computational engine of The kernel is the computational engine of Mathematica you inter the constructions and the kernel responds with answers in the form of numbers, graphs,matrices or other appropriate displays Mathematica you inter the constructions and the kernel responds with answers in the form of numbers, graphs,matrices or other appropriate displays The interface between the user and the kernel is called the front end The interface between the user and the kernel is called the front end The kernel is the computational engine of The kernel is the computational engine ofMathematica Next

10. ?Name ?Name ?Log ?Log ?Plot ?Plot ??Plot ??Plot ?A* ?A* ?Z*a ?Z*a Getting information from Getting information fromMathematica Next

12. Numerical Calculations There are four kinds of numbers: Integers Rationals Real Complex

13. Mathematica & Expressions Operatorors - Subtraction / division * Multiplication + addition ^ power The numbers 0,1,2,…9 The symbols A,B,C,..,z Paranthesis(),{},[]

14. Variables When we choose the names of variables: The names of the variables contain un limited numbers & symbols but we must not use(+,-,/,*). The name of the variable must not start 2x,2*x….but we can use x2 x y,xy,5x,x5,x^2y,?x

15. Relationals & Logical Operators X=y X==y X>y X>=y X<y X<=y X!=y !p P&&q P Pllq

16. Sqrt[x] Exp[x] Log[x] Log[x,b] Sin[x],Cos[x],Sinh[x], Cosh[x]….. To introduce some of the functions & Commands Sqrt[x] Exp[x] Log[x] Log[x,b] Sin[x],Cos[x],Sinh[x], Cosh[x]….. Factor[Poly] Expand[expr] ExpandAll[expr] Together[expr] Simplify[expr] Collect[expr, x] Apart[expr] FindRoot Next

17. Mathematica uses symbolic expressions to provide a very general representation of mathematical and other structures. Mathematica uses symbolic expressions to provide a very general representation of mathematical and other structures. The generality of symbolic expressions allows Mathematica to cover a wide variety of applications with a fairly small number of methods from mathematics and computer science. The generality of symbolic expressions allows Mathematica to cover a wide variety of applications with a fairly small number of methods from mathematics and computer science. Next

18. What is the difference between Mathematica and calculator? The simplest way to use Mathematica is like a calculator. We type in a calculator calculations, and Mathematica prints back the answer. The range of calculations that you can do with mathematica is however far greater than with a traditional electronic calculator, or, for that matter, with a traditional programming language such as Fortran or BASIC. Thus, for example,while a traditional system might support perhaps 30 mathematical operations, Mathematica has over 1000 built in functions. In addition, while traditional systems handle only numerical computations, Mathimatica also handles symbolic and graphical computations. The simplest way to use Mathematica is like a calculator. We type in a calculator calculations, and Mathematica prints back the answer. The range of calculations that you can do with mathematica is however far greater than with a traditional electronic calculator, or, for that matter, with a traditional programming language such as Fortran or BASIC. Thus, for example,while a traditional system might support perhaps 30 mathematical operations, Mathematica has over 1000 built in functions. In addition, while traditional systems handle only numerical computations, Mathimatica also handles symbolic and graphical computations. Next

19. Very useful in many branches: Calculus Differential Equations Linear algebra Vector analysis Complex Variables Fourier and Laplace Transform Group theory Discrete Mathaematica Mathematical Programing Advanced Computer Programing Advanced Mathematics Statistics Zoology & Botany Next

20. To do the procedure of Plot we have to determine 3 main things : Define the function we need to draw. Define independent variable. Define the domain of independent variables Next

21. Two dimensional graphics: A function with one variable is Y=f(x),where x is an independent variable Y is dependent variable,and range is on Y axis. Plot the fun. in a plane through (x,y) which satisfy Y=f(x). The most important command is …..plot. Next

22. Three dimensional graphics A function in two variables is z=f(x,y),x,y are dependent variables,z is independent variable We can display the points (x,y) which show the fun. f(x,y) on z axis,in 3D corresponding z=f(x,y) The most important command is Plot3D Next

23. Parametric Functions F(x) is a parametric fun. with one magnitude,then y=f(x) describe the curve In the plane crossed by any vertical line. Y=f(x) for every single point,but we can deal with the curves through parametric formulas By making x,y as functions of t, x=g(t),y=h(t) then for every value of t there are new x,y. We called them parametric eqns.for the curve and t is a parameter The suitable command is ParametricPlot Next

24. Some examples Here are some simple examples. Each one consists of a short “ dialog ” with Mathimatica. The text on the lines labeled in (n):=is what you type in; the lines labeled out (n)= are what Mathematica prints back. Here are some simple examples. Each one consists of a short “ dialog ” with Mathimatica. The text on the lines labeled in (n):=is what you type in; the lines labeled out (n)= are what Mathematica prints back. Next

25. Statistics No.of teacher (2) No.of teacher(1) Academic level 74Full Prof. 1510Associ. Prof. 129Assista. Prof. 107Lecturer Next

31. The website is www.wolfram.com Next

32. References Wolfram, Stephen ‘‘Mathematica’’Addison Wesley,1994. Abell,Marthadl & Braselton,James P.’’Mathematica By Example’’ Academic Press,1992. Smith,C. and Blachman,N.’’ The Mathematica Graphics Guidebook’’ Addison Wesley,1995. Meader,R.E.’’Computer Science With Mathematica’’Ronman E.Meader 2000.