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Sunday, 8 June 2014

A Mathematical Paradox


Look carefully at the argument below.
Let
a
=
b
Multiply both sides by a:
a2
=
ab
Add a2 - 2ab:
a2 + a2 - 2ab
=
ab + a2 - 2ab
Simplify:
2(a2 - ab)
=
a2 - ab
Divide by a2 - ab:
2
=
1

Oops!

What went wrong? It's the line which tells you to divide by a2 - ab
                                                   Since
                                                    a = b
 you have divided by zero, and this leads to the final incorrect statement.


You cannot divide by zero. In Mathematics, you need to watch out for this. It can lead to odd results!


- Renu Ma'am

Thursday, 5 June 2014

Fibonacci Numbers

Watch "Arthur Benjamin: The magic of Fibonacci Numbers" on YouTube.

 I'm sure you'll enjoy it as much as I did.

- Renu Ma'am

Thinking About What Lies Ahead of Class X

After Class X - life ahead is unseen - so full of possibilities and choices galore. What would be the right choice for us? What would be our path to success? Exploration is the key as well as self-analysis. We need to find out what are our fields of interest. We need to explore diverse areas just in order to know whether it is something we enjoy doing. When someone mentions a career that sounds exciting,we begin wondering whether we could excel in that field or whether it would be a good choice. For some, it might be a state of dilemma - for others it may have been decided beforehand. Whatever it may be, it does make sense to keep exploring different avenues through interactions with various people we meet, ask questions, find out about career options, studies that will take you further on your path of interest.

Here's sharing with you an article I recently read :-

The link to the site it has been taken from is- 

Copying it here for ease of reading...

Class 10th is over, now what? Many students as well as parents today are perplexed  with this question. But a little thinking and careful planning can definitely do wonders to your career or your  child's  career. 

Basically, the moment you enter 10th standard, you start analyzing the subject you wish to take up in class 11th. The preparation begins with self-analysis. While the opinion of your parents, teachers, friends and other social groups are important but it should not be the only/dominant factor. 
An ideal thing to do is to consult your teachers, relatives and guardians.  Today, options are not limited to science, maths, commerce or humanities. For example If you have a flair for writing and have a good command over language then you can go for arts in class 11th and simultaneously develop your writing skills. Later you can go for journalism course during your graduation.
If you like pursuing a particular sport then do not feel shy or awkward about it. On the other hand, pursue your studies along with sports. Always chose subjects which may give you ample time to practice that particular sport.
if you have a penchant for music or acting or modeling then you can choose subjects that may help you in pursuing these careers after your 12th
Likewise, if you wish to do professional courses like  engineering (IIT, DCE) or MBBS (AIMS, DPMT, CBSE)  after your class 12th, then you can start preparing  right away. You can take professional help but remember  there is no substitute to self study.  For courses like MBA, nothing can be done now particularly but one can start concentrating on developing his/her  analytical, aptitude and English language skills.
Guidelines to choosing a prospective career 
  • Before choosing a career, you should give due consideration to the circumstances, social status, priorities of your family, your physical attributes, your own limitations and capabilities and so forth.
  •  Keep in mind your own priorities.
  •  Academic competence increases if you are able to devote your energies towards the field of your choice.
  •  You should keep an open mind. You should not go for the traditional careers just because somebody suggested or tried to convince you.
  •  You can go for your SWOT analysis i.e. Strengths, Weaknesses, Opportunities and Threats. You should build on your strong points, try to minimize your weaknesses, try to grab the opportunities that may come your way and be wary of perceived threats. You may consult a professional Psychologist if you so feel like.
  • These days there is a plethora of information. Do a crosscheck about a given career option. Research well in advance over career options.
  •  Do not feel shy of seeking the help of a professional Career Counselor. Feel free to consult National Network of Education.
  •  You should never doubt your own capabilities. Half the battle is lost when you start doubting your own capabilities.

Arriving at your best career option is possible, only if you gather as much information as possible on diverse professions and educational opportunities. In no way you should be prejudiced about a job and end up attaching unqualified superiority for professions like medicine, engineering, and the civil services, though one can always have preferences for. Remember at the end of the day all it matters is how much you excel in a profession and the rest follows.
The list of careers is endless. Every body has a place under the sun even if the sun is not benign, you can still make your mark under it by choosing a career option close to your heart. Never mind, you are not good at mathematics or science, you can still choose from a plethora of options from the commerce stream, humanities, and vocational courses. 



Remember that there is no short cut to success. At the same time, if your field of hobby becomes your field of career, chances of success increase manifold.