equal
deleted
inserted
replaced
26 |
26 |
27 Hello Friends. Welcome to this tutorial on using Sage. |
27 Hello Friends. Welcome to this tutorial on using Sage. |
28 |
28 |
29 {{{ show the slide with outline }}} |
29 {{{ show the slide with outline }}} |
30 |
30 |
31 In this tutorial we shall quickly look at a few examples of the areas |
31 In this tutorial we shall quickly look at a few examples of using Sage |
32 (name the areas, here) in which Sage can be used and how it can be |
32 for Linear Algebra, Calculus, Graph Theory and Number theory. |
33 used. |
|
34 |
|
35 .. #[[Anoop: add name of areas and further introduction if needed for |
|
36 a smooth switch]] |
|
37 |
33 |
38 {{{ show the slide with Calculus outline }}} |
34 {{{ show the slide with Calculus outline }}} |
39 |
35 |
40 Let us begin with Calculus. We shall be looking at limits, |
36 Let us begin with Calculus. We shall be looking at limits, |
41 differentiation, integration, and Taylor polynomial. |
37 differentiation, integration, and Taylor polynomial. |
60 lim(1/x, x=0, dir='above') |
56 lim(1/x, x=0, dir='above') |
61 |
57 |
62 To find the limit from the negative side, we say, |
58 To find the limit from the negative side, we say, |
63 :: |
59 :: |
64 |
60 |
65 lim(1/x, x=0, dir='above') |
61 lim(1/x, x=0, dir='below') |
66 |
|
67 .. #[[Anoop: both the above codes are going the same thing isn't it?]] |
|
68 |
62 |
69 Let us now see how to differentiate, using Sage. We shall find the |
63 Let us now see how to differentiate, using Sage. We shall find the |
70 differential of the expression ``exp(sin(x^2))/x`` w.r.t ``x``. We |
64 differential of the expression ``exp(sin(x^2))/x`` w.r.t ``x``. We |
71 shall first define the expression, and then use the ``diff`` function |
65 shall first define the expression, and then use the ``diff`` function |
72 to obtain the differential of the expression. |
66 to obtain the differential of the expression. |