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

From Script | Spoken-Tutorial
Jump to: navigation, search
(Created page with '{| border=1 !Visual Cues !Narration |- ||00:01 ||Welcome to the Spoken tutorial on LibreOffice Math. |- ||00:05 ||In this tutorial, we will learn how to write Derivatives and D…')
 
 
(5 intermediate revisions by 3 users not shown)
Line 1: Line 1:
 
{| border=1
 
{| border=1
−
!Visual Cues
+
|'''Time'''
−
!Narration
+
|'''Narration'''
  
 
|-
 
|-
 
||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'''.
  
 
|-
 
|-
Line 73: Line 73:
 
|-
 
|-
 
||02:21
 
||02:21
−
||which describes the relationship between acceleration and force
+
||which describes the relationship between acceleration and force-
  
 
|-
 
|-
 
||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'''.
 
   
 
   
 
|-
 
|-
 
||02:45
 
||02:45
−
||Notice that we have used various sets of curly brackets to state the order of operation.
+
||Notice that we have used various sets of curly brackets to state the order of operation
  
 
|-
 
|-
 
||02:56
 
||02:56
−
||And the equation looks like as shown on the screen
+
||and the equation looks like as shown on the screen.
  
 
|-
 
|-
Line 105: Line 105:
 
|-
 
|-
 
||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;
  
 
|-
 
|-
 
||04:17
 
||04:17
−
||increase the font size to 18 point  
+
||increase the '''Font size''' to '''18 point'''
  
 
|-
 
|-
 
||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.
  
 
|-
 
|-
Line 181: Line 181:
 
|-
 
|-
 
||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..
  
 
|-
 
|-
Line 189: Line 189:
 
|-
 
|-
 
||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;
  
 
|-
 
|-
 
||06:35
 
||06:35
−
||and change the font to 18 point  
+
||and change the Font to '''18 point'''
  
 
|-
 
|-
 
||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.
  
 
|-
 
|-
Line 261: Line 261:
 
|-
 
|-
 
||07:31
 
||07:31
−
||Write the following derivative formula:
+
||Write the following '''derivative''' formula:
  
 
|-
 
|-
 
||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)'''.
  
 
|-
 
|-
Line 277: Line 277:
 
|-
 
|-
 
||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'''.
  
 
|-
 
|-
Line 293: Line 293:
 
|-
 
|-
 
||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'''.
  
 
|-
 
|-
 
||08:41
 
||08:41
−
||Format your formulae.
+
||'''Format''' your formulae.
  
 
|-
 
|-
 
||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 325:
 
|-
 
|-
 
||09:13
 
||09:13
−
||This project is co-ordinated by http://spoken-tutorial.org.  
+
||This project is coordinated by http://spoken-tutorial.org.  
  
 
|-
 
|-
Line 333: Line 333:
 
|-
 
|-
 
||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
+
 
|-
 
|-

Latest revision as of 11:15, 21 May 2018

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

Retrieved from "https://script.spoken-tutorial.org/index.php?title=LibreOffice-Suite-Math/C2/Derivatives-Differential-Equations-Integral-Equations-Logarithms/English-timed&oldid=43205"