mathematica

Tricks and short-cuts

2008-07-19T22:24:00.002+08:00

I managed to find some videos on how to do fast math. The trick is to follow certain steps or remember some steps.
Try it, have fun and amaze your friends!!!!

Fast Math Trick

2008-07-19T22:23:00.001+08:00

Math is so easy!

2008-07-19T22:20:00.001+08:00

Secret Trick : Math Division

2008-07-19T22:18:00.002+08:00

Be Human Calculator

2008-07-19T22:18:00.001+08:00

Fast Maths Trick of Calculation

2008-07-19T22:15:00.001+08:00

Solving Simultaneous Equations by Graphs

2008-04-09T17:43:00.001+08:00

Solving 1 Linear and 1 Quadratic Simultaneous Equation

2008-04-09T17:40:00.001+08:00

Solving Simultaneous Equations by Substitution

2008-04-09T17:40:00.000+08:00

Solving Simultaneous Equations by Elimination (2)

2008-04-09T17:34:00.000+08:00

Solving Simultaneous Equations by Elimination (1)

2008-04-09T17:30:00.000+08:00

Solving quadratic inequality (2)

2008-03-20T22:52:00.001+08:00

Tutorial on solving quadratic inequality Part 2.

Solving Quadratic Inequality (1)

2008-03-20T22:49:00.001+08:00

A tutorial on solving quadratic inequality.

Determining the nature of stationary point(s).

2008-03-20T22:36:00.005+08:00

In this video, you will learn how to determine the nature of a stationary point, whether it is a minimum or a maximum point by using the second derivative.

Finding Stationary point(s)

2008-03-20T22:32:00.007+08:00

In this video, you will learn how to find stationary points by differentiation.

Solving trigonometric equations by the quadrant methods (1)

2008-03-20T22:20:00.003+08:00

The following video shows how a trigo equation is solved by the quadrant method.

Online Probability Game

2008-03-12T13:16:00.005+08:00

Hi everyone - there is a fun probability game at the following website.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/fish.html

The game gets to be quite challenging when you play on. Do give it a try and let me know how you find it.

Probability - Part 2 : Tree Diagram

2008-03-04T19:00:00.003+08:00

Hi - I found this video on tree diagram.
Watch it over the weekend and answer question 6 on page 168 (textbook). Draw a tree diagram to answer this question. Bring the work to school when term re-opens on 17 March. If you have any questions, pls post them as comments and I will try to answer them.

Probability - Part 1

2008-02-20T21:52:00.001+08:00

Finding the mean of grouped data

2008-02-20T17:01:00.002+08:00

Circle Angle Facts and Circle Theorems

2008-02-16T00:26:00.002+08:00

Median, Quartiles, Boxplot

2008-02-15T22:42:00.006+08:00

The following 2 videos explain how the boxplot is drawn from the median and quartile values of a set of data. Watch the videos to prepare yourself for our lesson next Monday.

Mean, Median and Mode

2008-02-15T20:00:00.001+08:00

Survey to find out your most difficult topics in E Math and Add Math

2008-02-14T16:24:00.003+08:00

Dear students,
Can you do the 2 surveys on the right-hand side by 21 Feb?

How anxious (worried) are you over math?

2008-02-14T15:14:00.002+08:00

Hi everyone
I found this in the internet and thought perhaps you do this self-test to see where you are in your anxiety level over math.

Rate your answers from 1 to 5; add them up and check your score below.
(1) = Disagree, (5) = Agree.

1. I cringe (become fearful) when I have to go to math class. 1 2 3 4 5
2. I am uneasy about going to the board in a math class. 1 2 3 4 5
3. I am afraid to ask questions in math class. 1 2 3 4 5
4. I am always worried about being called on in math class. 1 2 3 4 5
5. I understand math now, but I worry that it's going to get really difficult soon.1 2 3 4 5
6. I tend to "black out" (or get lost) in math class. 1 2 3 4 5
7. I fear math tests more than any other kind. 1 2 3 4 5
8. I don't know how to study for math tests. 1 2 3 4 5
9. It's clear to me in math class, but when I go home it's like I was never there. 1 2 3 4 5
10. I'm afraid I won't be able to keep up with the rest of the class. 1 2 3 4 5

CHECK YOUR SCORE:
40-50 Sure thing, you have math anxiety.
30-39 No doubt! You're still fearful about math.
20-29 On the fence!.
10-19 Wow! Loose as a goose!

[http://www.mathpower.com/anxtest.htm]

When done, please post your SCOREs and say something about what you think about your SCORE.
Do this by 16 Feb.

Applications of differentiation

2008-02-13T18:31:00.003+08:00

Finding the equations of tangents to curves

To obtain the equation of the tangent to a curve with equation y = f(x), we need to be able to differentiate f(x).

The following steps show how to find the equation of the tangent to the curve with given equation at the point where x is given.

Step 1:-
Differentiate y or find dy/dx
This would give the gradient function of the curve.
Substituting the given value of x would give the value of the gradient of the tangent to the curve at the point.
Hence the equation of the tangent would begin with y = m x + c where m is the value of the gradient found.

Step 2:-
Find the y-coordinate of the point with the given value of x. The values of x and y are needed to be substituted into the equation y = m x + c to calculate the value of c.
Hence the equation of the tangent would be obtained.

Worked example:-
Find the equation of the tangent to the curve with equation
y = 3x^2 + 2x - 5 at the point where x = - 2.

Step 1:-
dy/dx = 6x + 2
At x = -2, dy/dx = - 10
Hence y = - 10 x + c ---------equation [1]

Step 2:-
When x = - 2, y = 3
Substitute these values into equation [1]
Hence c = - 17
And the equation of the tangent is y = - 10 x – 17

Cumulative Frequency Curves

2008-02-05T18:26:00.003+08:00

Watch the following video to revise on cumulative frequency curves.

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Cramer's Rule

2008-02-04T18:23:00.001+08:00

Hi everyone.
I have discovered another way to solve simultaneous equations using matrices.
It's called the Cramer's Rule.

Look at the following example to study how Cramer's Rule is used to solve the simultaneous equations below:-

5x + 3y= −11

2x + 4y = −10

Worked solution

D = det of

5 3
2 4

= 20 − 6 = 14

Dx = det of

−11 3
- 10 4

= −44 + 30 = −14

Dy = det of

5 −11
2 -10

= −50 + 22 = −28

Therefore,

x = Dx/D = −14/ 14 = −1

and y = Dy/D = −28/14 = −2

Now it's your turn to use Cramer's Rule to solve the following simultaneous equations.

- x + 5y = 4

2x + 5y = - 2

Work out D, Dx and Dy and then the solutions x and y. Post these as your comments. You have until 10 Feb to do this.

Matrices and Solving Linear Equations

2008-02-04T18:11:00.001+08:00

Solving simultaneous linear equations using matrices.

Solve - x + 5y = 4
2x + 5y = - 2

by matrix method.

By posting your answers as comments, write about the following.

What do you need to do to solve the simultaneous equation above using matrices?

Work out the answers to x and y.

Do this by 7 Feb.

Are you okay with matrices?

2008-02-02T23:39:00.001+08:00

Hello, we have learnt matrices together in class and now I hope you will take the following quiz on matrices to check how well you have learnt the topic.

1) When adding matrices of the same orders/dimensions, will the answer have the order/dimension of the matrices?

2) When multiplying, do matrices need to be of the same orders/dimensions?

3) Can you multiply a matrix by something other than another matrix?

4) When adding matrices, do you add different positions together?

If any of your answers is a "no", please write to explain why you say so.

Post your answers to these 4 questions by 5 Feb.

Stare if you dare !

2008-02-02T23:19:00.000+08:00

Look at this picture and see what your mind tells you........