LibreOffice-Suite-Math-6.3/C2/Calculus-and-Logarithms/English
Title: Calculus and Logarithms
Keywords: LibreOffice Math, LibreOffice Writer, derivatives, partial derivatives, differential equations, integrals, logarithms, font size, key board shortcuts, spoken tutorial, video tutorial.
Visual Cue | Narration |
Slide:
Title Slide |
Welcome to the spoken tutorial on Calculus and Logarithms. |
Slide:
Learning Objectives |
In this tutorial, we will learn how to:
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Slide:
System Requirements |
This tutorial is recorded using:
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Slide: Prerequisites
https:\\spoken-tutorial.org |
To follow this tutorial, learner should be familiar with Math interface.
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Slide:
Code Files |
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Open the MathExample1.odt | Let us first open the MathExample1.odt file. |
Press Ctrl + Enter to go to a new page.
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Press Ctrl and Enter, keys to go to a new page.
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Click on the Insert menu >> select the Object.
From the sub-menu >> select the Formula option.
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Let us call the Math application inside Writer.
Click on the Insert menu and select Object. From the sub-menu, select Formula. |
Click Format menu >> Font size.
Increase size to 18 pt. |
Before we go ahead, let us increase the font size to 18 point. |
Narration only | Let us now learn how to write derivatives and differential equations.
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In FEW, copy and paste:
Total Derivative: df over dx newline newline |
We have to treat the derivatives as fractions and use the markup over.
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In FEW, press Enter twice, copy and paste:
{partial f} over {partial x} newline newline.
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We can use the ‘partial’ keyword for a partial derivative.
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In FEW, press Enter twice, copy and paste:
Newton's second law of motion describes the relationship between acceleration and force. newline.
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Let’s write an example to show Newton’s second law of motion.
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In FEW, press Enter twice, copy and paste:
F(t) = m {{d^2}x } over {dt^2 } newline newline
Point mouse the last formula Writer gray box. |
Let us write an ordinary differential equation.
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In FEW, press Enter twice, copy and paste:
'''''''''' Newton’s Law of cooling. newline If theta of t is the temperature of an object at time t, newline then we can write a differential equation: newline d of `theta over d of t "is equal to" minus k into theta minus S. newline where S is the temperature of the surrounding environment. newline newline
Point mouse over the last formula in Writer gray box. |
Let us write the differential equation for Newton’s law of cooling.
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Click Save icon on the standard toolbar. | Let us save the file now. |
Slide:
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Pause the tutorial and do this assignment.
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Click outside of the Writer gray box.
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Now let us see how to write integrals.
Click outside the Writer gray box to go to the Writer document.
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Type: “Integral Equations: ” and press Enter. | Type “Integrals: ” and press Enter. |
Click on the Insert menu >> select Object.
From the submenu >> select Formula option. |
Now let us call the Math application.
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Click Format menu >>
Font size >> Increase size to 18 pt. |
Let’s increase the font size to 18 point . |
In FEW, copy and paste:
an interval a, b of the real line on the x-axis, newline the definite integral is written as Integral "from" a "to" b, ` f of x dx newline newline
In FEW, point mouse over ‘int’ word in the last line And point over ‘from’ and ‘to’
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Here is an example of an integral.
To specify the limits a and b, we have used the markup ‘from’ and ‘to’.
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In FEW, press Enter twice, copy and paste:
Double Integral newline iint from D p dx dy, `"where f(x,y) = p in the region D" newline newline
‘iint’. |
Let us write an example of a double integral to calculate the area of a region.
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Triple Integral newline
iiint_cuboid 1 dx dy dz, `"where constant function f(x, y, z) = 1" In FEW, point mouse over ‘iiint’. |
Similarly, we can use a triple integral to find the volume of a cuboid.
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In FEW, point mouse over the _
character in the last line
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We can use the subscript markup to specify the Limits of the integral.
Subscript is used to place the character to the bottom right of the integral.
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Slide:
Assignment
{square root of x } dx.br/>
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Pause the tutorial and do this assignment.
Write the markup for the following integrals. |
Now let us see how to write formulae containing logarithms.
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Click outside of the Writer gray box.
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Click outside the gray box to go back to Writer.
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Type ‘Logarithms: ‘ and press Enter.
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Type ‘Logarithms: ‘ and press Enter .
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In FEW, copy and paste:
log_10 1000 = 3 newline newline
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A simple formula using logarithm is Log 1000 to the base 10 is equal to 3.
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In FEW, press Enter twice, copy and paste:
log_2 (64) = log_2 (2)^ 6 = 6 log_2 (2) = 6 (1) = 6 newline newline
In FEW, press Enter twice, copy and paste: ln(t) = int from 1 to t {1 over x} dx
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Here is another example: Log 64 to the base 2 is equal to 6.
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Only Narration. | Now let us learn about shortcuts.
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Cursor on the interface.
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Go to Tools menu and select Customize option.
Click the Keyboard tab to access the options for adding keyboard shortcuts. |
Select Math radio button.
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Select the Writer radio button at the extreme right if not selected.
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Click on F7 in the shortcut keys list at the top of the dialog box.
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In the Shortcut Keys list, let us select F7.
Your keyboard shortcut will appear in the Keys list.
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Click OK at the bottom. | Click the OK button to save your keyboard shortcuts. |
Ctrl + S. | Let us now save the changes. |
Narration only: | With this we come to the end of this tutorial.
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Slide:
Summary
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In this tutorial we have learnt how to:
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Slide:
Assignment log x to the power of p to the base b is equal to p times log x to the base b |
Here is an assignment for you
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Slide:
About Spoken Tutorial Project |
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Slide:
Spoken tutorial workshops |
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Answers for THIS Spoken Tutorial |
Please post your time queries in this forum. |
Slide:
Acknowledgement |
The Spoken Tutorial project is funded by the Ministry of Education, Govt. of India. |
Slide:
Thank you Acknowledgement to DesiCrew |
This tutorial was originally contributed by DesiCrew Solutions Pvt. Ltd. in 2011
This is Madhuri Ganapathi along with the Spoken Tutorial team from IIT Bombay. Thank you for watching. |