Difference between revisions of "LibreOffice-Suite-Math-6.3/C2/Calculus-and-Logarithms/English"

Title Slide

Learning Objectives

• Write derivatives and differential equations.
• Write integrals.
• Write formulae using logarithms.
• Customize the shortcuts.

System Requirements

• Ubuntu Linux OS version 18.04 and
• LibreOffice Suite version 6.3.5.

https:\\spoken-tutorial.org

If not please access the relevant tutorials on this website.

Code Files

• The files used in the tutorial are provided in the Code files link.
• Please download and extract the files.
• Make a copy and use them for practising.

Type “Derivatives and Differential Equations: ” Press Enter .

Now type “Derivatives and Differential Equations: ” and press Enter.

From the sub-menu >> select the Formula option.

Click on the Insert menu and select Object.

From the sub-menu, select Formula.

Increase size to 18 pt.

Math provides a very easy way of writing them.

Total Derivative:

df over dx newline newline

To write a total derivative, df by dx, the markup is 'df over dx'.

{partial f} over {partial x} newline newline.

In FEW, point the mouse over curly brackets in the last markup.

Point mouse over del symbol in the last formula in Writer gray box

The keyword ‘partial’ has to be within curly brackets .

Notice the del symbol for partial derivatives in the Writer gray box.

The partial derivative is del f over del x.

Newton's second law of motion describes the relationship between acceleration and force. newline.

F = ma newline newline.

Newton's second law of motion which describes the relationship between acceleration “and” force.

Observe that “and” appears as inverted V as it is a reserved word.

To make it appear as a normal text we have to enclose it within double quotes.

F(t) = m {{d^2}x } over {dt^2 } newline newline

In FEW, point mouse over curly brackets in the last line.

Point mouse the last formula Writer gray box.

F of t is equal to m times d squared x over d t squared.

Here we have used curly brackets to state the order of operation.

''''''''''

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

{d %theta} over dt ~=~ -k(%theta – S) newline newline

Point mouse over the last formula in Writer gray box.

These lines explain Newton’s law of cooling.

Notice the equation in the Writer gray box.

Assignment

d squared y by d x squared is equal to d by dx of (dy by dx).

• Write the markup for following derivative.
• Use scalable brackets.

Press Ctrl + Enter.

Let us go to a new page.

Click outside the Writer gray box to go to the Writer document.

Press Ctrl and Enter keys to go to the new page.

From the submenu >> select Formula option.

Font size >> Increase size to 18 pt.

function f of a real variable x "and" newline

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

int from a to b f(x) dx newline newline

In FEW, point mouse over ‘int’ word in the last line

And point over ‘from’ and ‘to’

Point mouse over the last formula in Writer gray box

To write an integral symbol, we need to use the markup “int”.

To specify the limits a and b, we have used the markup ‘from’ and ‘to’.

Notice the formula in the Writer gray box.

Double Integral newline

iint from D p dx dy, `"where f(x,y) = p in the region D" newline newline

In FEW, point the mouse over

‘iint’.

The formula is shown on the screen.

The markup for a double integral is iint.

iiint_cuboid 1 dx dy dz, `"where constant function f(x, y, z) = 1"

In FEW, point mouse over ‘iiint’.

The markup for a triple integral is iiint.

character in the last line

Point mouse over the last 3 formulae in Writer gray box.

Subscript is used to place the character to the bottom right of the integral.

Assignment

• Integral with limits 0 to 1 of

{square root of x } dx.br/>

• Double integral from T of { 2 Sin x – 3 y cubed + 5 } dx dy

Write the markup for the following integrals.

First, let us go to a new page.

Press Ctrl + Enter.

Press Ctrl and Enter keys to go to the new page.

Let us write the logarithms in a fresh Math object.

Click Insert >> Object >> Formula.

Click Format >> >> Font Size. Make it 18pt.

Let us call Math application again.

Let’s change the font size to 18 point.

log_10 1000 = 3 newline newline

In FEW, point mouse over above markup

Notice the markup here.

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

Point mouse over last formula in the Writer gray box

Now let us write the integral representation of natural logarithm using markup.

Natural logarithm of t is equal to the integral from 1 to t of 1 by x dx.

It is a good practice to add shortcut keys to make our work easier.

Click on Tools >> >> click on Customize.

Point towards the Customize dialog box

Click on the Keyboard tab

Customize dialog box appears.

Click the Keyboard tab to access the options for adding keyboard shortcuts.

Go to function list at the bottom of the screen and select Import Formula.

In the Function list, scroll down and select Formula.

Click on Modify button at the right of the dialog box.

Click the Modify button.

Your keyboard shortcut will appear in the Keys list.

If necessary, continue to add keyboard shortcuts using the above steps.

Let us summarize.

Summary

• Write derivatives and differential equations.
• Write integrals.
• Write formulae using logarithms.
• Customize the shortcuts.

Assignment

log x to the power of p to the base b is equal to p times log x to the base b

• Write a markup for the following logarithm.
• Solve log 1024 to the base 2.

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Acknowledgement

Thank you

Acknowledgement to DesiCrew

This is Madhuri Ganapathi along with the Spoken Tutorial team from IIT Bombay.

Thank you for watching.