Difference between revisions of "LibreOffice-Suite-Math/C2/Derivatives-Differential-Equations-Integral-Equations-Logarithms/English-timed"

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|-
 
|-
 
||00:01
 
||00:01
−
||Welcome to the Spoken tutorial on LibreOffice Math.
+
||Welcome to the '''Spoken tutorial''' on '''LibreOffice Math'''.
  
 
|-
 
|-
 
||00:05
 
||00:05
−
||In this tutorial, we will learn how to write Derivatives and Differential equations, Integral equations And Formulae with Logarithms
+
||In this tutorial, we will learn how to write:
 +
* '''Derivatives''' and '''Differential equations'''
 +
* '''Integral equations''' and
 +
* Formulae with '''Logarithm'''s.
  
 
|-
 
|-
 
||00:17
 
||00:17
−
||For this, let us first open our example Writer document that we created in our previous tutorials: MathExample1.odt.
+
||For this, let us first open our example '''Writer document''' that we created in our previous tutorials- 'MathExample1.odt'.
  
 
|-
 
|-
 
||00:29
 
||00:29
−
||Here let us scroll to the last page of the document and press Control Enter to go to a new page.
+
||Here, let us scroll to the last page of the document and press '''Control, Enter''' to go to a new page.
  
 
|-
 
|-
 
||00:37
 
||00:37
−
||Now type “Derivatives and Differential Equations: ” and press the Enter key twice.
+
||Now, type: “Derivatives and Differential Equations: ” and press the '''Enter''' key twice.
  
 
|-
 
|-
 
||00:45
 
||00:45
−
||Now let us call Math by clicking Insert menu, then Object and then Formula.
+
||Now, let us call '''Math''' by clicking '''Insert''' menu, then '''Object''' and then '''Formula'''.
  
 
|-
 
|-
 
||00:54
 
||00:54
−
||Before we go ahead, let us increase the font size to 18 point.
+
||Before we go ahead, let us increase the font-size to 18 point.
  
 
|-
 
|-
 
||01:00
 
||01:00
−
||Change the alignment to the left
+
||Change the '''alignment''' to the '''Left'''
  
 
|-
 
|-
 
||01:03
 
||01:03
−
||and add newlines and blank lines in between each of our examples for better readability.
+
||and add '''newline'''s and blank lines in between each of our examples for better readability.
  
 
|-
 
|-
 
||01:11
 
||01:11
−
||Let us now learn how to write Derivatives and differential equations.
+
||Let us now learn how to write '''Derivatives''' and '''differential equations'''.
  
 
|-
 
|-
 
||01:19
 
||01:19
−
||Math provides a very easy way of writing these formulae or equations.
+
||'''Math''' provides a very easy way of writing these formulae or equations.
  
 
|-
 
|-
 
||01:25
 
||01:25
−
||We just have to treat them like a fraction, and use the mark up ‘over’.
+
||We just have to treat them like a fraction and use the '''mark up''' ‘over’.
  
 
|-
 
|-
 
||01:33
 
||01:33
−
||For example, to write a total derivative, df by dx, the mark up is 'df over dx' in the Formula Editor Window.
+
||For example- to write a '''total derivative''', df by dx, the '''mark up''' is 'df over dx' in the '''Formula Editor Window'''.
  
 
|-
 
|-
 
||01:50
 
||01:50
−
||Next, for a partial derivative, we can use the word ‘partial’.And the markup looks like: del f over del x.
+
||Next, for a '''partial derivative''', we can use the word ‘partial’. And the '''markup''' looks like: "del f over del x".
  
 
|-
 
|-
 
||02:02
 
||02:02
−
||We have to use the curly brackets when we use the mark up ‘partial’
+
||We have to use the curly brackets when we use the mark up ‘partial’.
  
 
|-
 
|-
 
||02:08
 
||02:08
−
||Notice the del symbol for partial derivatives in the Writer gray box.
+
||Notice the 'del' symbol for '''partial derivatives''' in the '''Writer gray box'''.
  
 
|-
 
|-
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|-
 
|-
 
||02:26
 
||02:26
−
||F is equal to m a.  
+
||'''F is equal to m a'''.  
  
 
|-
 
|-
 
||02:30
 
||02:30
−
||This can be written as an ordinary differential equation as:F of t is equal to m into d squared x over d t squared.
+
||This can be written as an ordinary differential equation as: '''F of t is equal to m into d squared x over d t squared'''.
 
   
 
   
 
|-
 
|-
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|-
 
|-
 
||02:56
 
||02:56
−
||And the equation looks like as shown on the screen
+
||And the equation looks like as shown on the screen.
  
 
|-
 
|-
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|-
 
|-
 
||03:18
 
||03:18
−
||d of theta over d of t  is equal to minus k into theta minus S
+
||'''d of theta over d of t  is equal to minus k into theta minus S'''
  
 
|-
 
|-
 
||03:30
 
||03:30
−
||where S is the temperature of the surrounding environment.
+
||where 'S' is the temperature of the surrounding environment.
  
 
|-
 
|-
 
||03:35
 
||03:35
−
||Notice the equation in the Writer gray box.
+
||Notice the equation in the '''Writer gray box'''.
  
 
|-
 
|-
 
||03:39
 
||03:39
−
||Let us save our work now. Go to File and click on Save.
+
||Let us '''save''' our work now. Go to '''File''' and click on '''Save'''.
  
 
|-
 
|-
 
||03:45
 
||03:45
−
||Now let us see how to write Integral equations.
+
||Now let us see how to write '''Integral equations'''.
  
 
|-
 
|-
 
||03:50
 
||03:50
−
||And let us go to a new page by clicking three times slowly outside the Writer gray box
+
||And, let us go to a new page by clicking three times slowly outside the '''Writer gray box'''
  
 
|-
 
|-
 
||03:58
 
||03:58
−
||And then press Control Enter.
+
||and then press '''Control, Enter'''.
  
 
|-
 
|-
 
||04:03
 
||04:03
−
||Type “Integral Equations: ”  
+
||Type: “Integral Equations: ”  
  
 
|-
 
|-
 
||04:06
 
||04:06
−
||and press enter twice.
+
||and press '''Enter''' twice.
  
 
|-
 
|-
 
||04:11
 
||04:11
−
||Now, let us call Math from the Insert Object menu;
+
||Now, let us call '''Math''' from the '''Insert Object''' menu;
  
 
|-
 
|-
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|-
 
|-
 
||04:22
 
||04:22
−
||and change the alignment to the left.
+
||and change the '''alignment''' to the left.
  
 
|-
 
|-
 
||04:25
 
||04:25
−
||To write an integral symbol, we just need to use the mark up “int” in the Formula Editor Window.
+
||To write an '''integral''' symbol, we just need to use the '''mark up''' “int” in the '''Formula Editor Window'''.
  
 
|-
 
|-
 
||04:35
 
||04:35
−
||So, given a function f of a real variable x and an interval a, b of the real line on the x-axis, the definite integral is written as Integral from a to b f of x dx.
+
||So, given a function f of a real variable x and an interval a, b of the real line on the x-axis, the definite integral is written as '''Integral from a to b f of x dx'''.
  
 
|-
 
|-
 
||04:58
 
||04:58
−
||We have used the mark up ‘int’ to denote the integral symbol.
+
||We have used the '''mark up''' ‘int’ to denote the '''integral''' symbol.
  
 
|-
 
|-
 
||05:04
 
||05:04
−
||To specify the limits a and b, we have used the mark up ‘from’ and ‘to’.
+
||To specify the '''limits''' 'a' and 'b', we have used the '''mark up''' ‘from’ and ‘to’.
  
 
|-
 
|-
 
||05:13
 
||05:13
−
||Notice the formula in the Writer gray box.
+
||Notice the formula in the '''Writer gray box'''.
  
 
|-
 
|-
 
||05:17
 
||05:17
−
||Next let us write an example double integral formula to calculate the volume of a cuboid.
+
||Next, let us write an example '''double integral formula''' to calculate the volume of a cuboid.
  
 
|-
 
|-
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|-
 
|-
 
||05:30
 
||05:30
−
||As we can see, the mark up for a double integral is ‘i i n t’. Simple.
+
||As we can see, the '''mark up''' for a '''double integral''' is ‘i i n t’. Simple..
  
 
|-
 
|-
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|-
 
|-
 
||05:46
 
||05:46
−
||And the mark up for a triple integral is ‘i i i n t’.
+
||And the '''mark up''' for a triple integral is ‘i i i n t’.
  
 
|-
 
|-
 
||05:52
 
||05:52
−
||We can also use the subscript mark up to specify Limits of an integral.  
+
||We can also use the '''subscript mark up''' to specify '''Limits''' of an '''integral'''.  
  
 
|-
 
|-
 
||06:00
 
||06:00
−
||Using the subscript, Math places the character to the bottom right of the integral.
+
||Using the '''subscript''', '''Math''' places the character to the bottom right of the integral.
  
 
|-
 
|-
 
||06:06
 
||06:06
−
||So these are the ways we can write integral formulae and equations in Math.
+
||So, these are the ways we can write integral formulae and equations in Math.
  
 
|-
 
|-
 
||06:13
 
||06:13
−
||Now let us see how to write formulae containing logarithms.
+
||Now, let us see how to write formulae containing '''logarithm'''s.
  
 
|-
 
|-
 
||06:19
 
||06:19
−
||Let us write these in a fresh Math gray box or Math object.
+
||Let us write these in a fresh '''Math gray box''' or '''Math object'''.
  
 
|-
 
|-
 
||06:24
 
||06:24
−
||Type ‘Logarithms: ‘ and press Enter twice.
+
||Type ‘Logarithms: ‘ and press '''Enter''' twice.
  
 
|-
 
|-
 
||06:29
 
||06:29
−
||Call   Math again;
+
||Call Math again;
  
 
|-
 
|-
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|-
 
|-
 
||06:39
 
||06:39
−
||and align them to the left.
+
||and '''align''' them to the left.
  
 
|-
 
|-
 
||06:42
 
||06:42
−
||A simple formula using logarithm is Log 1000 to the base 10 is equal to 3.
+
||A simple formula using '''logarithm''' is '''Log 1000 to the base 10 is equal to 3'''.
  
 
|-
 
|-
 
||06:52
 
||06:52
−
||Notice the mark up here.
+
||Notice the '''mark up''' here.
  
 
|-
 
|-
 
||06:55
 
||06:55
−
||Here is another example: Log 64 to the base 2 is equal to 6.
+
||Here is another example: '''Log 64 to the base 2 is equal to 6'''.
  
 
|-
 
|-
 
||07:03
 
||07:03
−
||Let us now write the integral representation of the natural logarithm .
+
||Let us now write the '''integral''' representation of the '''natural logarithm'''.
  
 
|-
 
|-
 
||07:10
 
||07:10
−
||The natural logarithm of t is equal to the integral of 1 by x dx from 1 to t.
+
||The '''natural logarithm of t is equal to the integral of 1 by x dx from 1 to t.'''
  
 
|-
 
|-
 
||07:20
 
||07:20
−
||And the mark up looks like as shown on the screen.
+
||And the '''mark up''' looks like as shown on the screen.
  
 
|-
 
|-
 
||07:25
 
||07:25
−
||Let us save our examples.
+
||Let us '''save''' our examples.
  
 
|-
 
|-
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|-
 
|-
 
||07:35
 
||07:35
−
||d squared y by d x squared is equal to d by dx of ( dy by dx).
+
||'''d squared y by d x squared is equal to d by dx of ( dy by dx)'''.
  
 
|-
 
|-
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|-
 
|-
 
||07:53
 
||07:53
−
||Integral with limits 0 to 1 of {square root of x } dx.
+
||'''Integral with limits 0 to 1 of {square root of x } dx'''.
  
 
|-
 
|-
 
||08:04
 
||08:04
−
||Next, write a double integral as follows:
+
||Next, write a '''double integral''' as follows:
  
 
|-
 
|-
 
||08:09
 
||08:09
−
||Double integral from T of { 2 Sin x – 3 y cubed + 5 } dx dy  
+
||'''Double integral from T of { 2 Sin x – 3 y cubed + 5 } dx dy'''.
  
 
|-
 
|-
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|-
 
|-
 
||08:25
 
||08:25
−
||log x to the power of p to the base b is equal to p into log x to the base b;
+
||'''log x to the power of p to the base b is equal to p into log x to the base b'''
  
 
|-
 
|-
 
||08:35
 
||08:35
−
||solve log 1024 to the base 2
+
||solve '''log 1024 to the base 2'''.
  
 
|-
 
|-
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|-
 
|-
 
||08:43
 
||08:43
−
||This brings us to the end of this tutorial on writing Differential and Integral equations and logarithms in LibreOffice Math.
+
||This brings us to the end of this tutorial on '''writing Differential and Integral equations and logarithms''' in '''LibreOffice Math'''.
  
 
|-
 
|-
 
||08:52
 
||08:52
−
||To summarize, we learned how to write:Derivatives and Differential equations
+
||To summarize, we learned how to write: Derivatives and Differential equations.
  
 
|-
 
|-
 
||08:58
 
||08:58
−
||Integral equations And Formulae with Logarithms
+
||* Integral equations and *Formulae with Logarithms.
  
 
|-
 
|-
 
||09:02
 
||09:02
−
||Spoken Tutorial Project is a part of the Talk to a Teacher project,
+
||'''Spoken Tutorial''' project is a part of the '''Talk to a Teacher''' project,
  
 
|-  
 
|-  
Line 325: Line 328:
 
|-
 
|-
 
||09:13
 
||09:13
−
||This project is co-ordinated by http://spoken-tutorial.org.  
+
||This project is coordinated by http://spoken-tutorial.org.  
  
 
|-
 
|-
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|-
 
|-
 
||09:24
 
||09:24
−
||This tutorial has been contributed by ...............................(Name of the translator and narrator)
+
||This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions signing off.   
−
 
+
Thanks for joining.
−
And this is -----------------------(name of the recorder) from --------------------------(name of the place)signing off. Thanks for watching.   
+
−
 
+
−
Thanks for joining
+
 
|-
 
|-

Revision as of 23:02, 15 October 2015

Time Narration
00:01 Welcome to the Spoken tutorial on LibreOffice Math.
00:05 In this tutorial, we will learn how to write:
  • Derivatives and Differential equations
  • Integral equations and
  • Formulae with Logarithms.
00:17 For this, let us first open our example Writer document that we created in our previous tutorials- 'MathExample1.odt'.
00:29 Here, let us scroll to the last page of the document and press Control, Enter to go to a new page.
00:37 Now, type: “Derivatives and Differential Equations: ” and press the Enter key twice.
00:45 Now, let us call Math by clicking Insert menu, then Object and then Formula.
00:54 Before we go ahead, let us increase the font-size to 18 point.
01:00 Change the alignment to the Left
01:03 and add newlines and blank lines in between each of our examples for better readability.
01:11 Let us now learn how to write Derivatives and differential equations.
01:19 Math provides a very easy way of writing these formulae or equations.
01:25 We just have to treat them like a fraction and use the mark up ‘over’.
01:33 For example- to write a total derivative, df by dx, the mark up is 'df over dx' in the Formula Editor Window.
01:50 Next, for a partial derivative, we can use the word ‘partial’. And the markup looks like: "del f over del x".
02:02 We have to use the curly brackets when we use the mark up ‘partial’.
02:08 Notice the 'del' symbol for partial derivatives in the Writer gray box.
02:14 Here is another example: Newton's second law of motion
02:21 which describes the relationship between acceleration and force
02:26 F is equal to m a.
02:30 This can be written as an ordinary differential equation as: F of t is equal to m into d squared x over d t squared.
02:45 Notice that we have used various sets of curly brackets to state the order of operation.
02:56 And the equation looks like as shown on the screen.
03:01 Here is another example of a differential equation.
03:05 Newton’s law of cooling.
03:08 If theta of t is the temperature of an object at time t, then we can write a differential equation:
03:18 d of theta over d of t is equal to minus k into theta minus S
03:30 where 'S' is the temperature of the surrounding environment.
03:35 Notice the equation in the Writer gray box.
03:39 Let us save our work now. Go to File and click on Save.
03:45 Now let us see how to write Integral equations.
03:50 And, let us go to a new page by clicking three times slowly outside the Writer gray box
03:58 and then press Control, Enter.
04:03 Type: “Integral Equations: ”
04:06 and press Enter twice.
04:11 Now, let us call Math from the Insert Object menu;
04:17 increase the font size to 18 point
04:22 and change the alignment to the left.
04:25 To write an integral symbol, we just need to use the mark up “int” in the Formula Editor Window.
04:35 So, given a function f of a real variable x and an interval a, b of the real line on the x-axis, the definite integral is written as Integral from a to b f of x dx.
04:58 We have used the mark up ‘int’ to denote the integral symbol.
05:04 To specify the limits 'a' and 'b', we have used the mark up ‘from’ and ‘to’.
05:13 Notice the formula in the Writer gray box.
05:17 Next, let us write an example double integral formula to calculate the volume of a cuboid.
05:26 And the formula is as shown on the screen.
05:30 As we can see, the mark up for a double integral is ‘i i n t’. Simple..
05:38 Similarly, we can also use a triple integral to find the volume of a cuboid.
05:46 And the mark up for a triple integral is ‘i i i n t’.
05:52 We can also use the subscript mark up to specify Limits of an integral.
06:00 Using the subscript, Math places the character to the bottom right of the integral.
06:06 So, these are the ways we can write integral formulae and equations in Math.
06:13 Now, let us see how to write formulae containing logarithms.
06:19 Let us write these in a fresh Math gray box or Math object.
06:24 Type ‘Logarithms: ‘ and press Enter twice.
06:29 Call Math again;
06:35 and change the font to 18 point
06:39 and align them to the left.
06:42 A simple formula using logarithm is Log 1000 to the base 10 is equal to 3.
06:52 Notice the mark up here.
06:55 Here is another example: Log 64 to the base 2 is equal to 6.
07:03 Let us now write the integral representation of the natural logarithm.
07:10 The natural logarithm of t is equal to the integral of 1 by x dx from 1 to t.
07:20 And the mark up looks like as shown on the screen.
07:25 Let us save our examples.
07:29 Here is an assignment for you:
07:31 Write the following derivative formula:
07:35 d squared y by d x squared is equal to d by dx of ( dy by dx).
07:47 Use scalable brackets.
07:51 Write the following integral:
07:53 Integral with limits 0 to 1 of {square root of x } dx.
08:04 Next, write a double integral as follows:
08:09 Double integral from T of { 2 Sin x – 3 y cubed + 5 } dx dy.
08:23 And using the formula:
08:25 log x to the power of p to the base b is equal to p into log x to the base b
08:35 solve log 1024 to the base 2.
08:41 Format your formulae.
08:43 This brings us to the end of this tutorial on writing Differential and Integral equations and logarithms in LibreOffice Math.
08:52 To summarize, we learned how to write: Derivatives and Differential equations.
08:58 * Integral equations and *Formulae with Logarithms.
09:02 Spoken Tutorial project is a part of the Talk to a Teacher project,
09:06 supported by the National Mission on Education through ICT, MHRD, Government of India.
09:13 This project is coordinated by http://spoken-tutorial.org.
09:18 More information on the same is available at the following link.
09:24 This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions signing off.

Thanks for joining.

Contributors and Content Editors

Minal, PoojaMoolya, Pratik kamble, Sandhya.np14

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