The Learning Outcomes of the course are

• Overcome the fear of maths
• Improved critical thinking
• Familiarity with the mathematical underpinnings and techniques
• Ability to do basic maths faster and with ease.
• Appreciate the Mathematical advancements of Ancient India.

UNIT- I Vedic Maths- High Speed Addition and Subtraction Sessions/Lectures (5 Weeks)

• Vedic Maths: History of Vedic Maths and its Features
• Vedic Maths formulae: Sutras and Upsutras
• Addition in Vedic Maths: Without carrying, Dot Method
• Subtraction in Vedic Maths: Nikhilam Navatashcaramam Dashatah
  (All from 9 last from 10)
• Fraction -Addition and Subtraction

UNIT- II Vedic Maths- Miracle Multiplication and Excellent Division (4 Weeks)

• Multiplication in Vedic Maths: Base Method (any two numbers upto three digits)
• Multiplication by Urdhva Tiryak Sutra
• Miracle multiplication: Any three-digit number by series of l's and 9's
• Division by Urdhva Tiryak Sutra (Vinculum method)

UNIT- III Vedic Maths-Lightening Squares and Rapid Cubes (3 Weeks)

• Squares of any two-digit numbers: Base method
• Square of numbers ending in 5: Ekadhikena Purvena Sutra
• Easy square roots: Dwandwa Yoga (duplex) Sutra
• Square root of 2: Baudhayana Shulbasutra
• Cubing: Yavadunam Sutra

UNIT- IV Vedic Maths-Enlighten Algebra and Geometry (3 Weeks)

• Factoring Quadratic equation: Anurupyena, Adyamadyenantyamanty Sutra
• Concept of Baudhayana (Pythagoras) Theorem
• Circling a square: Baudhayana Shulbasutra
• Concept of pi: Baudhayana Shulbasutra
• Concept angle (8) 0o, 300, 450, 600 and 900: Baudhayana number

Unit I: Contribution of Indian Mathematicians Sessions/Lectures (3 Weeks)

• Varahmihir
• Brahmagupta
• Srinivasa Ramanujan
• Neelkanth Somayya
• Bharti Krishna Tirtha

UNIT- II Easy Solution of linear equations (4 Weeks)

• Introduction of simple equation
• Solutions of simple equations
• Solutions of linear equations in two variables
• Practical application of linear equations in two variables

UNIT- III High Speed Matrix Algebra (4 Weeks)

• Introduction and history of Matrices and Determinants
• Matrices and Determinants of third order
• Inverse of Matrices

UNIT- IV Vedic Geometry (4 Weeks)

• Different forms of straight lines
• The Triangle
• The Cyclic Quadrilateral, Squares, and the Circle
• Geometrical constructions (such as Altars)
• Transformation of simple shapes
• Kalpa Sutras-Srautha Sutras and Sulbha Sutras

Unit I: Contribution of Indian Mathematicians- Trigonometry (3 Weeks)

• Baudhayana
• Apastamba
• Aryabhata I,II
• Bhaskara I,Ii
• Lilavati

UNIT- II Trigonometric Ratios (4 Weeks)

• Introduction of Trigonometric ratios
• Trigonometric Identities
• BN of Complementary angles
• BN of sum and difference() of an angle

UNIT- III Real-life Applications of Trigonometry (3 Weeks)

• Application Trigonometry-Height and Distance
• Inverse Trigonometric Function

UNIT- IV Vedic Geometry (5 Weeks)

• Angle between two lines
• Perpendicular distance from point to line
• Baudhayan Geometry
• Jyothishya Shastram-Introduction of Astronomy, Astrology & Time Computation
• Shilpa Shastram- Introduction of temple architecture and constructions

Unit I: Contribution of Indian Mathematicians (3 Weeks)

• Pingala
• Mahavira
• Narayan Pandit
• Jyesthadeva
• Parmeshvaran
• Madhavan

UNIT- II Wonder World of India Mathematics- Meru Prastar (4 Weeks)

• Pingal's binary number system
• Different types of Meru Prastar(including Pascal Triangle)
• Applications of Meru Prastar

UNIT- III Lightening Complex numbers (4 Weeks)

• Introduction to Complex number
• Baudhayan form of Complex
• Addition & Subtraction of Complex number
• Multiplication of Complex numbers

UNIT- III Enlighten Calculus (4 Weeks)

• Introduction to differentiation
• Application of derivatives
• Introduction to Integration
• Application of Integrations

The students are expected to demonstrate the application of Vedic Maths: Sutra and Upsutra

• Conduct workshops under the supervision of the course teacher to spread awareness on the utility of Vedic Mathematics.
• Students are required to visit nearby retail shops/local vendors to purchase stationery/vegetables/bread and butter and use tricks of Vedic maths of addition and subtraction to calculate the amount to pay and receive the difference.
• Students may share their experience with the class teacher in the form of audiovideo presentations of 15 minutes.
• If required, students can share their experiences in the form of a Project Report.
• Any other Practical/Practice as decided from time to time

• The Essential of Vedic Mathematics, Rajesh Kumar Thakur, Rupa Publications, New Delhi 2019.
• Vedic Mathematics Made Easy, Dahaval Bathia, Jaico Publishing, New Delhi 2011
• Vedic Mathematics: Sixteen Simple Mathematical formulae from the Vedas, Jagadguru Swami Sri Bharati Krishna Trithaji, Motilal Banarasidas, New Delhi 2015.
• Learn Vedic Speed Mathematics Systematically, Chaitnaya A. Patil 2018.

• A Modern Introduction to Ancient Indian Mathematics, T S Bhanumurthy, Wiley Eastern Limited, New Delhi.
• Enjoy Vedic Mathematics, S M Chauthaiwale, R Kollaru, The Art of Living, Bangalore
• Magical World of Mathematics, VG Unkalkar, Vandana publishers, Bangalore.