| Semester – I |
Introduction to Vedic Maths
| a) History of Vedic Maths |
| b) About the Father of Vedic Maths |
| c) Features of Vedic Maths |
Session - 1
|
Vedic Maths Formulae
| a) Vedic Maths – 16 sutras |
| b) Vedic Maths – 13 sub-sutras |
Session - 2
|
High-Speed Addition
| a) Addition without carrying – 2x2, 2x3,2x4......2x10 (rows/columns) |
| b) Addition using dot method - 2x2, 3x3, 4x4........10x10 (rows/columns) |
| c) Addition using dot method – random digits |
Session - 3 & 4
|
Super Fast Subtraction
| a) Subtraction using All from 9 last from 10 (Nikhilam Navatascaram Dashtah) |
| b) Subtraction using appropriate base |
| 1-Digit number (base 10) |
| 2-Digit numbers (base 100) |
| 3-Digit numbers (base 1000) |
| 4-Digit numbers (base 10000) |
| 5-Digit numbers (base 100000) |
| 6-Digit numbers (base 1000000) |
| 7-Digit numbers (base 10000000) |
Session - 5
|
Genius Mental Multiplication Techniques
Multiplication by the BASE method
| a) Multiplying any two numbers between 11-20 by the BASE +10 method |
| b) Multiplying any two numbers between 80-100 by the BASE -100 method |
| c) Multiplying any two numbers between 101-120 by the BASE +100 method |
| d) Multiplying any two numbers between 980-1000 by BASE -1000 method |
| e) Multiplying any two numbers between 1001-1020 by BASE +1000 method |
| f) Multiplying any two numbers between 9980-10000 by BASE -10000 method |
| g) Multiplying any two numbers between 10001-10020 by BASE +10000 method |
| h) Multiplying any two numbers between 99980-100000 by BASE -100000 method |
| i) Multiplying any two numbers between 100001-100020 by BASE +100000 method |
| j) Multiplying any two numbers between 999980-1000000 by BASE -1000000 method |
| k) Multiplying any two numbers between 1000001-1000020 by BASE +1000000 method |
| l) Multiplying any two numbers between 9999980-10000000 by BASE -10000000 method |
| m) Multiplying any two numbers between 10000001-10000020 by BASE +10000000 method |
| n) Multiplying numbers above and below the BASE |
Sessions - 6-11
|
Revision and Submission of Assignments by the students
Session - 12 |
1st Semester Examination
Session - 13 |
| Semester – II |
Miracle Multiplication
Multiplication by 9's
| a) Any two-digit numbers by 99 |
| b) Any three-digit numbers by 999 |
| c) Any four-digit numbers by 9999 |
| d) Any five-digit numbers by 99999 |
| e) Any six-digit numbers by 999999 |
| f) Any seven-digit numbers by 9999999 |
| g) Any eight-digit numbers by 99999999 |
| h) Any nine-digit numbers by 999999999 and so on... |
| i) Any random digit number by any random of 9's |
| Case i: 99999 999999999 x 456 x 345678 ... |
| Case ii: 456578 4567456675 x 9999 x 99999 ... |
Sessions - 14-16
|
Multiplication by 1's
| a) Any two-digit numbers by 11 |
| b) Any three-digit numbers by 111 |
| c) Any four digit numbers by 1111 |
| d) Any five-digit numbers by 11111 |
| e) Any six-digit numbers by 111111 |
| f) Any seven-digit numbers by 1111111 |
| g) Any eight-digit numbers by 11111111 |
| h) Any nine-digit numbers by 111111111 and so on |
| i) Any random digit numbers by 12 |
| j) Any random digit numbers by any random of 1's |
| Case i: 11111 111111111 x 456 x 345678 ... |
| Case ii: 456578 4567456675 x 1111 x 11111 ... |
Sessions - 17-19
|
The first number is the same and the end digit must be added to the 10
Session - 20
|
Multiplication of any random digit number by any random digit number (APPLICATION OF URDHVA TIRYAGBHYAM) (VERTICAL & CROSSWISE)
| a) Any two-digit numbers multiplied by any two-digit numbers |
| b) Any three-digit numbers multiplied by any three-digit numbers |
| c) Any four-digit numbers multiplied by any four-digit numbers |
| d) Any five-digit numbers multiplied by any five-digit numbers |
| e) Any six digit numbers multiplied by any six digit numbers |
| f) Any seven-digit numbers multiplied by any seven-digit numbers |
| g) Any eight-digit numbers multiplied by any eight-digit numbers |
| h) Any nine digit numbers multiplied by any nine digit numbers |
| i) Multiplying a long number by a shorter number |
| j) Any random digit numbers by any random digit numbers |
Sessions - 21-24
|
|
Revision and Assignment Class
Session - 25 |
2nd Semester Examination
Session - 26 |
| Semester – III |
Lightning Squares
| a) Urdhva Tiryak Method of Multiplication |
| b) Using the Yavadunam Thavadunikrutya Vargancha Yogayet Sutram |
| c) Using the duplex method (Dwandwayoga method) |
| d) Squares of decimals |
| e) Application of Anurupyena Sutram (geometrical progression) |
| f) Squares of numbers ending in 5 (Ekadhikena Purvena Sutram) |
| g) Squares of numbers by the base method |
| h) Squares of numbers by a duplex method |
| i) Squares of any 2-digit numbers |
| ii) Squares of any 3-digit numbers |
| iii) Squares of any 4-digit numbers |
| iv) Squares of any 5-digit numbers |
| v) Squares of any 6-digit numbers |
| vi) Squares of any 7-digit numbers |
| vii) Squares of any 8-digit numbers |
Session - 27-28
|
|
|
| Straight Division Method (Application of Dwandwayoga (duplex) Method) |
| Rapid Cubes |
Session - 29-30
Rapid Cubes
| a) A general method of cubing |
| b) Yavadhunam Sutra for cubing |
| c) Cubing Using Series Multiplication |
Session - 31-32
|
Quick Cube Root
| a) Cube roots of exact cubes |
| b) If the cube is even |
| c) Imperfect cube |
| d) Finding the fourth root |
| e) Finding the fifth root |
| f) Finding the sixth root |
Session - 33-34
|
Excellent Division
| a) By Nikhilam Rule (Special cases of dividing with 9,8,7 & 6) |
| b) Straight division - Application of Urdhva Tiryak Sutram for numbers |
| c) (Vinculum method) Reduction method for straight division (simplified) |
Session - 35-37
|
Revision and Assignment
Session - 38 |
3rd Semester Examination
Session - 39 |
| Semester – IV |
Vinculum
| a) Introduction to vinculum numbers |
| b) Convert vinculum numbers to normal form |
| c) Subtraction using vinculum numbers |
Session - 40 - 41
|
Simple Decimals
| a) Introduction to decimals |
| b) Decimal Addition |
| c) Decimal subtraction |
| d) Decimal multiplication |
| e) Decimal division |
Session - 42 - 43
|
Fun Fractions
| a) Introduction to fractions |
| b) Fraction multiplication |
| c) Fraction – addition & subtraction (same denominators) |
| d) Fraction division |
| e) Fraction – addition (different denominators) |
| f) Factoring |
| g) Reducing to the lowest terms |
| h) Mixed numbers |
| i) Multiplying mixed numbers |
Session - 44 - 45
|
Smart Percentage
| a) Introduction to percentage |
| b) Percentage difference |
| c) Convert percents to decimals |
| d) Convert percents to fractions |
Session - 46 - 48
|
Enlighten Algebra
| a) Quadratic Formula |
| b) Exponents and Radicals |
| c) Absolute Value |
| d) Special Product Formulas |
| e) Binomial Theorem |
| f) Special Factoring Formulas |
| g) Inequalities |
| h) Exponentials and Logarithms |
Sessions - 49 - 50
|
Revision and Assignment Class
Session - 51 |
| 4th Semester Examination |
Session - 52
|
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