Sarwan's Videos

Websites (Sarwan's Video Collection)

Sarwan K. Aggarwal, Ph.D., Software Engineer

You Tube Channel, http://www.youtube.com/channel/UCAkjbT_XTMWX4SVgZv4P24Q

 

  1. 0.    Possibilities with Vedic Math, http://youtu.be/Kf4m9h6AWXo
  2. Tasste of sutras, http://youtu.be/LumVGKomAgw
  3. 2.    Subtractions, http://youtu.be/IGF_Mz5jOjo
    1. i.              Subtractions by Sutras, http://youtu.be/_3ALnno9UwQ
    2. ii.            Subtractions as Game, http://youtu.be/qnxyVOSsFOo
    3. iii.           Subtraction by Zones, http://youtu.be/AN9WFolQTK0
    4. iv.           Subtraction using Negative Numbers, http://youtu.be/Vlexhn2JZBY

 

  1. 3.    Multiplications, http://youtu.be/1tpdB7-FopY
    1. i.              Basic Base Multiplications, http://youtu.be/jsFmgrz3F-k
    2. ii.            Proportional Base Multiplications, http://youtu.be/fZoOrx8Rz7A
    3. iii.           Multiplication by Sequence of Nines, http://youtu.be/3YmPWc3zHUQ

 

  1. 4.    Base Multiplication, http://youtu.be/yksc-vUpaqM
    1. i.              Basic Base Multiplications, http://youtu.be/jsFmgrz3F-k
    2. ii.            Proportional Base Multiplications, http://youtu.be/fZoOrx8Rz7A
    3. iii.           Multiplication by Sequence of Nines,  http://youtu.be/3YmPWc3zHUQ

 

  1. 5.    Digit Sum and More, http://youtu.be/11UGo9PXyxU
    1. i.              Operations with Nine and Digit Sum, http://youtu.be/L0mjHarBZAc
    2. ii.            Vedic Square and divisibility rules, http://youtu.be/KlgMYicXdts
    3. iii.           Result Checking with Digit Sum, http://youtu.be/NXUsILrJmUo

 

  1. 6.    Divisibility Rules, http://youtu.be/uDzLAELy1v8
    1. i.              Divisibility by Remainders, http://youtu.be/9l0X-5qEq5I
    2. ii.            Divisibility by Pseudo Division, http://youtu.be/_qo_6e1LFfs
    3. iii.           Divisibility by Osculation, http://youtu.be/qMWvXaV6FcU

 

  1. 7.    Fractions, http://youtu.be/bHV77vUDsUM
  2. 8.    Nikhilam Method of Division, http://youtu.be/AubYssJhOM8
  3. Transpose and Apply Method of Division http://youtu.be/qAwjZ7b6Xrc
  4. Intro to Equations, http://youtu.be/lUc2ZJjsMeA

 

 

11. Straight Division, http://youtu.be/Ck_x_NovNuM

  1. i.              Common Links amongst Vedic Math Divisions, http://youtu.be/FmRBd69y1Vo
  2. ii.            Straight Division: 2 digit divisors, http://youtu.be/zczbfgR2xAk
  3. iii.           Straight Division: 3 digit divisors, http://youtu.be/CsCABvUIthE
  4. iv.           Straight Division: 4 or more divisor digits,
  5. v.            http://youtu.be/i2XvN6SzcFw
  6. i.              Squares from “Observations in Figuring” by Shakuntala Devi, http://youtu.be/0s4t7c4R4pM
  7. iii.           Squares using Base Multiplications, http://youtu.be/iIbkPqWLqSE
  8. iv.           Squares using Formulas, http://youtu.be/OUcJrfK1AUw
  9. v.            Squares using Duplexes, http://youtu.be/-q6pvFxGrRY

12. Squares, http://youtu.be/DRWBUUQ6Y24

ii.            Square of Numbers Ending in 5, http://youtu.be/zq9Q_9CKlfo

 

13. Cube Roots, http://youtu.be/DLkwecYawbU

i.              Cube Roots - First Principles, http://youtu.be/cangu3m84Uo

ii.            Cube Roots (of Perfect Cubes) by observation, http://youtu.be/3h657gA0QrA

iii.           Cube Roots by Divide and Conquer, http://youtu.be/08ycaNPt2QY

iv.           Cube Root (of a perfect cube) using polynomials, http://youtu.be/LsSrmch_bSk

 

14. Intro to Algebra: http://youtu.be/kSpIL9WD2mE

  1. i.              Algebra Basics (background), http://youtu.be/AbDwwMILUII
  2. ii.            Add Subtract Algebraic Expressions, http://youtu.be/Fd51xL38b5I
  3. iii.           Algebra Multiply, http://youtu.be/X77l2IhGKhs
  4. iv.           Algebra Divide, http://youtu.be/JJObPgTa4BE

 

  1. 15.   Square Roots, http://youtu.be/gfJm0VbLb_Q

i.              First Principles of Square Roots, http://youtu.be/w_gVbq8SVEI

ii.            Square Roots by Observation, http://youtu.be/i7hSyxjj_XQ

iii.           Square Root of Small Perfect Squares, http://youtu.be/i5HNUNdLPN8

iv.           Square Root by V & C Multiplication, http://youtu.be/p8TPDNTvRGU

v.            Square Root by Vertically & Crosswise Division, http://youtu.be/qQG4KGUvDGE

 

16. Tips and Short Cuts, http://youtu.be/vy_HRoDZjOg

i.              Divisibility by 4, http://youtu.be/eEzGbXyQvfg

ii.            Converting between Kg and Pounds, http://youtu.be/BMrFoPLNUIw

iii.           Converting between Miles and Km, http://youtu.be/XUTLFfjkevQ

iv.           Conversion between Celsius and Fahrenheit, http://youtu.be/cLSshEJeBhQ

v.            Recurring Number for 1/7, http://youtu.be/zyXizVaCH5E

 

17. Decimals http://youtu.be/SFDLID1jUZo

i.              Decimals - Background, http://youtu.be/Wa43eEs4xPI

ii.            Decimals - Add and Subtract, http://youtu.be/kH11lUoaJ3o

iii.           Decimals - Multiply and Divide, http://youtu.be/joNNkbivzoQ

 

18.  Percentages, http://youtu.be/dgZSeu5f6_8

i.              What are Percentages? http://youtu.be/fcdLRKD0XLw

ii.            Percentages – Situations of using %ages, http://youtu.be/CFPyMyEKVH0

iii.           Percentages - Simple Interest, http://youtu.be/52Vzr_SGfpk

iv.           Percentages – Compound Interest, http://youtu.be/70gpZYrehNE

v.            Percentages – Investment Returns, http://youtu.be/8bS-RrdE5nU

vi.           Percentages – Discounts, http://youtu.be/QfbRRD4Yq5k

 

19. HCF, http://youtu.be/8Jtxj6Tj7wE

              i.        What is HCF? http://youtu.be/6WfkS2oe_Sk

            ii.        HCF by “Divide and Conquer”, http://youtu.be/WpfLoSGh4WA

           iii.        HCF by Division, http://youtu.be/LK-ZouvaAxU 

           iv.        HCF by “By Addition and by Subtraction”, http://youtu.be/94_OtrfnRno

 

Workshop videos

      i.        By Completion, http://youtu.be/pF9cp-Ka1Z4

    ii.        Subtraction: Divide and Conquer, http://youtu.be/0qx3Y3nTu7Q

   iii.        Doubling and Halving, http://youtu.be/pXd5F4jmgHs

   iv.        Multiply by Completion, http://youtu.be/m_cpBszubr0

    v.        Intro to Equations, http://youtu.be/AyJe3kG1KH0

   vi.        Digit Sum and Divisibility Rules, http://youtu.be/AsrkMjr0ldg

 vii.        Divisibility Rules, http://youtu.be/wOZS2wMtvxE

viii.        General Multiplication, http://youtu.be/R2AGn7D9N4E

 

Outline of Planned Classes

(4th to 8th grades)

WORKING DRAFT

1.    Taste of sutras, http://youtu.be/LumVGKomAgw

              i.        By Addition and by subtraction

            ii.        By multiplication and by division

           iii.        Addition from right and from left

           iv.        Carries to left and to right

            v.        Only the last digits

           vi.        By Completion

          vii.        Arithmetic Series

        viii.        Sum of odd numbers, starting from 1, is square of number of terms added

 2.    Doubling and Halving, http://youtu.be/pXd5F4jmgHs

 3.    Subtractions, http://youtu.be/IGF_Mz5jOjo

    1. Subtractions by Sutras -
      1.                       i.        All from nine and last from nine
    2. Subtractions as Game
      1.                       i.        Home Team and visiting team
      2.                     ii.        Types of columns
      3.                    iii.        Rules of the game
      4.                    iv.        Handling of tough challenge
    3. Subtraction by Zones
      1.                       i.        Formalize observations
      2.                     ii.        Identify zones: dreaded zone, pay-off column, and safe zone
      3.                    iii.        List rules of subtractions for each zone
      4.                    iv.        Clarify with Example
    4. Subtraction using Negative Numbers
      1.                       i.        Define negative numbers
      2.                     ii.        Use these in subtractions
      3.                    iii.        Resolve negative numbers in result

 4.    General Multiplication, http://youtu.be/1tpdB7-FopY

http://www.townhallstreams.com/locations/bolton-ma/events/11590/houghton_building

  1. Develop VM method of Vertically and Crosswise from 2-digit by 2-digit multiplication
  2. Use in multiplying algebraic expressions
  3. Study the pattern
  4. Extend to 3-digit by 3-digit and to 4-digit by 4-digit multiplication
  5. Use ‘Moving Multiplier’ in m-digit by n-digit multiply

 

5.    Base Multiplication, http://youtu.be/yksc-vUpaqM

www.townhallstreams.com/locations/bolton-ma/events/11826/houghton_building

  1. Use Straight Base Numbers

                      i.        Use natural base numbers to multiply

                    ii.        Develop the method used

  1. Use Proportional Base Number Multiplication

                      i.        Show that a random number may be used as working base

  1.                     ii.        Extend base multiplication by using proportional base numbers
  2.                    iii.        Apply to square of numbers ending in 5
  3.                    iv.        Explore its variations
  4. Multiplication by Sequence of Nines and More
    1.                       i.        Multiplication by sequence of nines – three cases
    2.                     ii.        Explore use in computing recurring numbers
    3.                    iii.        Handing of cases, where operands are close to different base numbers

 

 6.    Briefly describe multiply by 11, 12, 1111, 2222 etc.

Digit Sum and More, http://youtu.be/11UGo9PXyxU

  1. Operations with 9

                                  i.        Add 9, subtract 9, and multiply by 9

                                ii.        Divide by 9 by adding digits in dividend

  1. Digit sum
  2. Vedic Square from multiplication table

                                      i.        Divisibility rules from Vedic Square

  1. Result checking using digit sum – only the necessary condition

 7.    Divisibility Rules, http://youtu.be/uDzLAELy1v8

    1. Divisibility by Remainders

                              i.        Division definition and discussion of remainder

                            ii.        Divisibility by 2, 4, 8, and 16 using remainders

                           iii.        Divisibility by 3, 6, 9 using digit sum (remainder from dividing by 9)

                           iv.        Divisibility by 5 and 10 using remainders

                            v.        Divisibility by 11 and again using remainder

  1. By Pseudo Division
  2. By Osculation

 8.    Fractions, http://youtu.be/bHV77vUDsUM

    1. Common fractions
    2. Decimal fractions

                              i.        Exact fractions

                            ii.        Recurring fractions

  1. Proper, improper, and mixed fractions
  2. Source of Fractions
  3. Equivalent Fractions and Reduction
  4. Add/Subtract

                              i.        Common denominator case

                            ii.        One denominator multiple of the other

                           iii.        Common Factor in denominator

                           iv.        General case

  1. Multiply/Divide
  2. Simplify

 9.    Negative (Bar) Numbers from Teacher’s Manual – Elementary Level

 

10. Nikhilam Method of Division, http://youtu.be/AubYssJhOM8

  1. Division by 9 and by 8
  2. Illustrate 2- step division
  3. Use 2-step division in the rest of the video
  4. Divide N by 29, 100/19, and 3/39
  5. Computed recurring numbers using 2 step division and proportional base number
  6. Divided by 88, base 100
  7. Divided by 89, base 100
  8. Divided by 89, proportional base 90
  9. Divide by 887, base = 1000
  10. Divide by 5897, proportional base = 6000
  11. Observe that adjustments are like vertically and crosswise multiplication
  12. Establish that this method is emulating general division method of straight division, we intend to discuss in a later video

[

                              i.        It seems that 2-step division is one of those skipped over details, allowed in VM. With 2-step division identified, we can introduce Math into Nikhilam Method of division:

                            ii.        Instead of drawing a line to the left of 3 digits, we can divide the dividend by 1000, the first division. The former seems like a trick or magic and later is Math.

 

                           iii.        Instead of bringing down a dividend digit to the quotient line, we can divide dividend digit by 1, the second division, to get a quotient digit.

 

                           iv.        Bringing down the dividend digit does not work in cases of proportional base numbers. Dividing by 2nd division still works.

 

                            v.        Establishing that this method emulates straight division, we should be able to use this method for any general division. In some cases, straight division would be easier to implement.

]

 

  1. Transpose And Apply Method of Division, http://youtu.be/qAwjZ7b6Xrc
  1. Division by 11, base 10
  2. Division by 12, base 10
  3. Division by 32, base 30
  4. Altered Remainders
  5. Division by 72
  6. Issues in 1/13 – resolve by using “Altered Remainders”
  7. Division by 112, base 100
  8. Division by  311, base 300
  9. Division by 1103, base 1000
  10. Division by 6112, base 6000

 

 

12. Introduction to Equations, http://youtu.be/lUc2ZJjsMeA

  1. What is an equations
  2. Where do the equations come from
  3. Equation from a word problem
  4. Think of a number game
  5. Reversal method
  6. Transpose and Apply method

 

  1. Equations solved with zero transpose
  2. Equations solved with one transpose
  3. Equations solved with two transposes
  4. Equations solved with three transposes
  5. Equations solved with more transposes

 

13. Straight Division, http://youtu.be/Ck_x_NovNuM

  1. A.   Functional Equivalency of all VM division methods
  2. B.   Divide by 2 digit divisors
  3. C.   Divide by 3 digit divisors
  4. D.   Divide by 4 or more digit divisor
  5. E.   Divide and conquer basis for all VM division methods

 

14.  Intro to Algebra, http://youtu.be/kSpIL9WD2mE

  1. Algebra Basics

              i.        What is Algebra?

            ii.        What does it do it for us?

           iii.        Values of variables

           iv.        Compare Algebraic expression with a number

            v.        Classifications of expressions in Algebra

  1. Algebra Add/Subtract

              i.        Add/Subtract Monomials, Binomials

            ii.        Add/Subtract linear, quadratic, and cubic expressions

  1. Algebra Multiply

              i.        Multiply with constant

            ii.        Multiply with monomial

           iii.        Multiply linear expressions – use conventional, base, and VC methods

           iv.        Multiply quadratics – use conventional and VC methods

            v.        Moving multiplier method

  1. Algebra Divide

                      i.        Dividing by monomial

                    ii.        Divide by linear expression – conventional method, by completion, and by “transpose and apply” method

                   iii.        Divide by (x - 1) like dividing by 9 and by (x + 1) like dividing by 11

                   iv.        General Division by “Transpose and Apply” method

 15.  Squares, http://youtu.be/DRWBUUQ6Y24

  1. From observations from “Figuring” by Shakuntala Devi
  2. For numbers ending in 5 and its variants
  3. By base multiplications
  4. By formulae
  5. By using duplexes (vertically and crosswise multiplications)

 16.  Cube root of perfect cube of up to six digits, http://youtu.be/DLkwecYawbU

  1. Definition of cube and cube root
  2. First principles for perfect cubes
  3. By observation
  4. By Divide and Conquer – use divisibility rules
  5. By using polynomials (for larger cubes)

 
17.  Square root, http://youtu.be/gfJm0VbLb_Q

A.           First Principles of Square Roots

B.           Square Roots by Observation

C.           Square Root of Small Perfect Squares

D.           Square Root From Vertically & Crosswise Multiplication

E.           Square Root By Vertically & Crosswise Division

 

  1. 18.  Tips and Short Cuts, http://youtu.be/vy_HRoDZjOg
  2. Divisibility by 4
  3. Temperature conversion
  4. Pound – Kilo conversion
  5. Miles – Km conversion
  6. Recurring (fraction) number for 1/7

 

19.  Decimals, http://youtu.be/SFDLID1jUZo

A.   Decimals - Background

B.   Decimals - Add and Subtract

C.   Decimals - Multiply and Divide

 

20.  Percentages, http://youtu.be/dgZSeu5f6_8

A.           What are Percentages?

B.           Percentages – Situations of using %ages

C.           Percentages - Simple Interest

D.           Percentages – Compound Interest

E.           Percentages – Investment Returns

F.            Percentages – Discounts

21. HCF, http://youtu.be/8Jtxj6Tj7wE

A.   What is HCF

B.   HCF by “Divide and Conquer”

C.   HCF by Division

D.   HCF by “By Addition and by Subtraction

 22.  Recurring decimals

  1. Some fractions
  2. Get 1/7 from remainders
  3. Analyze 1/7
  4. Sub-sutra “For 7 , multiplicand is 143”
  5. General method for 1/19 – divide by 19 using 2-step division and proportional base number
  6. Compute recurring digits for 1/19 directly
  7. Get 1/7 from 7/49

 23.  Coordinate Geometry –

  1. Equation of straight line through two points
  2. parallel to a given line and through given point
  3. perpendicular to given line and through a given point

 

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