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12 .. ------------- |
12 .. ------------- |
13 |
13 |
14 .. Getting Started -- Sage |
14 .. Getting Started -- Sage |
15 |
15 |
16 .. Author : Puneeth |
16 .. Author : Puneeth |
17 Internal Reviewer : |
17 Internal Reviewer : Anoop Jacob Thomas<anoop@fossee.in> |
18 External Reviewer : |
18 External Reviewer : |
19 Checklist OK? : <put date stamp here, if OK> [2010-10-05] |
19 Checklist OK? : <put date stamp here, if OK> [2010-10-05] |
20 |
20 |
21 Script |
21 Script |
22 ------ |
22 ------ |
29 |
29 |
30 In this tutorial we shall quickly look at a few examples of the areas |
30 In this tutorial we shall quickly look at a few examples of the areas |
31 (name the areas, here) in which Sage can be used and how it can be |
31 (name the areas, here) in which Sage can be used and how it can be |
32 used. |
32 used. |
33 |
33 |
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34 .. #[[Anoop: add name of areas and further introduction if needed for |
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35 a smooth switch]] |
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36 |
34 {{{ show the slide with Calculus outline }}} |
37 {{{ show the slide with Calculus outline }}} |
35 |
38 |
36 Let us begin with Calculus. We shall be looking at limits, |
39 Let us begin with Calculus. We shall be looking at limits, |
37 differentiation, integration, and Taylor polynomial. |
40 differentiation, integration, and Taylor polynomial. |
38 |
41 |
57 |
60 |
58 To find the limit from the negative side, we say, |
61 To find the limit from the negative side, we say, |
59 :: |
62 :: |
60 |
63 |
61 lim(1/x, x=0, dir='above') |
64 lim(1/x, x=0, dir='above') |
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65 |
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66 .. #[[Anoop: both the above codes are going the same thing isn't it?]] |
62 |
67 |
63 Let us now see how to differentiate, using Sage. We shall find the |
68 Let us now see how to differentiate, using Sage. We shall find the |
64 differential of the expression ``exp(sin(x^2))/x`` w.r.t ``x``. We |
69 differential of the expression ``exp(sin(x^2))/x`` w.r.t ``x``. We |
65 shall first define the expression, and then use the ``diff`` function |
70 shall first define the expression, and then use the ``diff`` function |
66 to obtain the differential of the expression. |
71 to obtain the differential of the expression. |
206 gives all the combinations of ``[1, 2, 3, 4]`` |
211 gives all the combinations of ``[1, 2, 3, 4]`` |
207 |
212 |
208 That brings us to the end of this session showing various features |
213 That brings us to the end of this session showing various features |
209 available in Sage. |
214 available in Sage. |
210 |
215 |
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216 .. #[[Anoop: I feel we should add more slides, a possibility is to add |
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217 the code which they are required to type in, I also feel we should |
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218 add some review problems for them to try out.]] |
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219 |
211 {{{ Show summary slide }}} |
220 {{{ Show summary slide }}} |
212 |
221 |
213 We have looked at some of the functions available for Linear Algebra, |
222 We have looked at some of the functions available for Linear Algebra, |
214 Calculus, Graph Theory and Number theory. |
223 Calculus, Graph Theory and Number theory. |
215 |
224 |