1st vm sendout introduction and syllabus

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  • 8/3/2019 1st VM Sendout Introduction and Syllabus

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    Vedic Math Study Group

    Moderator Richard [email protected]

    I would like to welcome you to the Vedic Math Study Group (VMSG). The purposes ofthis group are as follows:

    1. To learn Vedic Math in a logical and systematic fashion.

    2. To have all members of the study group interact with one another.

    3. Lastly and most importantly have fun!

    I came across Vedic Math (VM) quite by accident while surfing on the internet

    about eight years ago. Being a math person all of my life, I was interested in the claims

    made regarding VM. These claims included being able to work problems of many typesbasically in my head and write the answers immediately, writing the answers without

    showing any intermediate work and doing the work in a small fraction of the time itwould ordinarily require. I honestly felt initially that these claims were not true. As an

    experiment, I would fold a piece of paper in half and write the same problem twice on the

    top of the page. I timed myself using both the VM methods and the methods that I had

    been taught in school. The results were unbelievable. In every case, the time it took me todo the problem using the VM methods was about 10% of what it took me with the

    standard methods. In addition, all of the VM problems were solved correctly while I got a

    couple of the problems using the old methods wrong. This experiment showed me thatnot only were the VM methods much faster, but, they produced the right answers every

    time. I found that the less number work you have to do to solve a problem, the better.Many problems using by VM methods will be solved by writing down the answerdirectly or with very little number work.

    When I decided to undertake this project, I anticipated only about 5-10participants. The interest to date has far exceeded that expectation. So far, there are over

    30 individuals that have indicated an interest to join this group. Most of the participants

    are I believe from India, but, we also have interest from Mexico, France, United States,

    Singapore, United Arab Emirates, England and New Zealand. We have a greatopportunity to not only learn these valuable VM techniques, but, come in contact with

    other group members from all over the world. I will be providing names and e-mail

    addresses of all group members so that there can be what I will call cross learning. Thisgroup is not going to be me strictly sending out information for you to digest and then

    wait for my next e-mail. I want you all, to whatever degree you feel comfortable, to

    interact with others in the group. If a concept is not explained well, please send me an e-mail and I will try to explain it better. If you still do not understand, please contact other

    members in the group for help. We will all be helping each other in this endeavor. All I

    ask is that I get copied on e-mails just to assure that everyone is on the right track.

    mailto:[email protected]:[email protected]
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    I anticipate e-mailing written material with exercises for you to do. Hopefully, I

    will send out material one or twice a week. I would like feedback from everyone

    regarding the materials being sent to you, the type, number and difficulty of the exercisesand also your general impressions regarding VM. There will not be any tests of any kind.

    You will be doing the work because you want to do it and because it will be fun.

    To give you an idea of what I hope to cover, Ive included the following outline.

    This syllabus was used for a prior class that I taught. I may decide to discuss certain

    concepts out of order, but, will try to keep to this order of topics the best I can.

    Vedic Mathematics Study Group Syllabus

    Class 1

    Short History of Vedic Mathematics

    What are the Sutras?

    Examples of VM:

    Squaring Numbers ending a 5Adding and subtracting fractions

    Class 2

    1st Sutra Vertically and Crosswise

    Multiplying single digits together

    Multiplying two digit numbers together

    Multiplying three digit number together

    Class 3

    1st Sutra Vertically and Crosswise Continued

    Moving Multiplier

    Algebraic Multiplication

    Class 4

    From Left to Right and Right to Left

    Introducing the Vinculum

    Class 5

    Vinculum continued

    2nd Sutra All from 9 the last from ten

    What is a base?

    Subtracting numbers from a base

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    Class 6

    Nikhilam Multiplication

    Multiplying Number just below 100Multiplying Numbers just below other bases

    Multiplying Numbers just above and below a baseProportionality

    Class 7

    Special Multiplication

    Multiplication by 9

    Multiplication by 11

    Class 8

    Multiplying Numbers Near Different Bases

    Recurring Decimals

    Class 9

    Auxiliary Fractions

    Class 10

    Squaring Numbers

    Square Roots

    Class 11

    Special Division

    Division by 9

    Division by 8

    Division by 11 and 12Algebraic Division

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    Class 12

    Larger Bases

    Dividing by Numbers just above a baseDividing by numbers just below a base

    Proportionality

    Class 13

    Straight Division

    One line division by 1-figure numbers

    Dividing numbers of any size

    Class 14

    Decimalizing the remainderUsing bar numbers to simplify the work

    Larger Divisors

    Class 15

    Algebraic Division

    Review

    This is by no means the end of VM. Depending on how many are interested, we can

    explore other areas of math that can utilize the VM approaches we will have learned. These areas

    include solution of certain types of equations, applications to geometry and trigonometry. As youwill see, the applications for these methods are everywhere. In fact, new applications are being

    developed all the time. We, as a study group, may even come up with some new applications

    ourselves.

    Each time I send out an e-mail, please let me know that you have received it. Also, if you

    have any comments and/or questions regarding the material, please let me know that also. In this

    way, I can be certain that everyone is getting the material in a timely manner.

    As this is the first e-mail that I am sending to everyone, it is

    especially important to let me know that you have received it and that it

    was readable.

    As soon as I know everyone has received this e-mail and that it

    was readable, I will send out the first lesson.

    Copyright, 2006 Richard Blum, All rights reserved, No reprints without permission