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Varnamala of Indian languages based on classification of sounds on the basis of their origin
                     and effort involved. The special feature of the scripts of most Indian languages, that each
                     symbol is associated with a unique sound.

                     Word formation in Sanskrit and Indian languages. Basic purpose of the Science of Vyakarana
                     as established by Panini.

                     Important texts of Indian Language Sciences —Siksha or phonetics, Nirukta or etymology,
                     Vyakarana or Grammar, Chandas or Prosody.

                     How the Indian Language Sciences continued to flourish in the 18//19 the centuries. Navya-
                     nyaya and Navya-vyakarana in Navadvipa, Varanasi and West and South India.

              iii.   Indian Mathematics:

                     Numbers,  fractions  and  geometry  in  the  Vedas.  Decimal  nomenclature  of  numbers  in  the
                     Vedas. Zero and Infinity. Simple constructions from Sulba-sutras.

                     The development of the decimal place value system which resulted in a simplification of all
                     arithmetical operations. Linguistic representation of numbers.

                     Important  texts  of  Indian  mathematics.  Brief  introduction  to  the  development  of  algebra,
                     trigonometry and calculus.

                     How Indian mathematics continued to flourish in the 18/19/20th centuries. Kerala School.
                     Ramanujan.


              6.  Indian Astronomy:

              Ancient records of the observation of the motion of celestial bodies in the Vedic corpus. Sun, Moon,
              Nakshatra & Graha.

              Astronomy as the science of determination of time, place and direction by observing the motion of
              the celestial bodies.  The motion of the Sun and Moon. Motion of equinoxes and solstices. Elements
              of Indian calendar systems as followed in different regions of India.

              Important texts of Indian Astronomy. Basic ideas of the planetary model of Aryabhata and its revision
              by Nilakantha.

              Large corpus of inscriptions recording observation of eclipses. Astronomical instruments.

              How Indian astronomy continued to flourish in the 18/19th centuries. Astronomical endeavours of
              Jaisingh, Sankaravarman, Chandrasekhara Samanta.


              7.  Indian Health Sciences:
              Vedic foundations of Ayurveda. Ayurveda is concerned both with maintenance of good health and
              treatment of diseases.

              Basic concepts of Ayurveda. The three Gunas and Three Doshas, Pancha-mahabhuta and Sapta-dhatu.
              The importance of Agni (digestion). Six Rasas and their relation to Doshas. Ayurvedic view of the

              cause of diseases.




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