Jyotish syllabus 2014-15 Kavikulaguru Kalidas Sanskrit University University established by State Government of Maharashtra and UGC Recognized u/s 2f and 12B Ramtek Office : Administrative Building, Mauda Road, Ramtek - 441106, Dist.Nagpur Nagpur Office : 05th Floor, NIT Commercial Complex, Near Morebhavan, Sitabuldi, Nagpur 44001 Diploma in Vedic Mathematics Course Curriculam (Syllabus) Approved by the Academic Council Meeting No. 01/2013, Item no. 14, Dt. 01.06.2013 (Onwards 2014-2015) Name of the Course Name of the Faculty Examination Type Course Duration Eligibility Medium Year Six Monthly Eligibility Diploma Course in Vedic Mathematics Faculty of Ancient Indian Sciences and Humanities Annual One Year HSSC with Mathematics as one of the subject or passed certificate course in Vedic mathematics. Sanskrit, Marathi, Hindi, English. Internal Max Passing Theory Max Passing 60 240 21 84 Max 0 Other Passing 0 Max 300 Total Passing 105 Credits -- Remarks -- Curriculam Charges : (NET copy Rs.30/-) 1 Jyotish syllabus 2014-15 Academic Course Structure Name of the Course Name of the Faculty Examination Type Course Duration Total Credits Eligibility Diploma Course in in Vedic Mathematics Faculty of Ancient Indian Sciences and Humanities Annual One Year NOT APPLICABLE HSSC with mathematics as one of the subject or passed Certificate course in Vedic Mathematics. Internal Theory Other (Pr/Desr /Viva/Oral/ Test/Sessional etc.) Paper Code (in case of joint passing) Paper Tital B A C Max Passing Max Passing 20 7 80 BHARTIYA BEEJ GANITAM 20 7 BHARTIYA REKHA GANITAM 20 Final Total 60 BHARTIYA ANKA GANITAM Subject Total Max A+B+C Passing No. Credits (if Credit System is applicable) Max Passing 28 100 35 N.A 80 28 100 35 N.A 7 80 28 100 35 N.A 21 240 84 300 105 2 Jyotish syllabus 2014-15 Internal Assessment - 20% for each course. Sr.No. Particulars 20 Marks Marks 1 Periodical class tests 10 Marks 2 Seminar / Objective Test / Assignments 05 Marks 3 Active participation in the class Interaction, overall conduct. 05 Marks 3 Jyotish syllabus 2014-15 Syllabus for Diploma in Vedic Mathematics Paper I Paper II Paper III PAPER I- - BHARTIYA ANKA GANITAM (ARITHMETIC) BHARTIYA BEEJ GANITAM (Algebra) BHARTIYA REKHA GANITAM (Geometry) BHARTIYA ANKA GANITAM (ARITHMETIC) 80 marks UNIT -I Vinculum Number, Introduction, Conversion & applications, Indices, Meru Prastar, Cube and higher Powers, Cube root of unity. 20 marks UNIT -II Recurring decimals, Number systems Conversion of bases, Numerical codes. 20 marks UNIT-III Tests of Divisibility Division and Euclidean Algorithms, GCD & LCM, congruence relations, Modular Arithmetic. 20 marks UNIT-IV Contributions of Indian mathematicians in Arithmetic only. 20 marks Of the following. Aryabhata, Brahmagupta, Mahaviracharya, Shrinivas Ramanujan. UNIT-V Internal Assessment 20 marks 4 Jyotish syllabus 2014-15 Diploma Course in Vedic Mathematics Paper I Paper II Paper III - BHARTIYA ANKA GANITAM (ARITHMETIC) BHARTIYA BEEJ GANITAM BHARTIYA REKHA GANITAM ( GEOMETRY) PAPER- II - BHARTIYA BEEJ GANITAM UNIT – I Factorization of cubic & biquadratic Polynomials, relation between the roots & Coefficients of polynomial Equations, Logarithmic series, Remainder theorem. 20 marks UNIT – II Determinants & matrices of third order, matrix equations, Inverse of a matrix 20 marks UNIT – III Complex Number, Cartesian and polar Forms, Geometric representation of equation in Complex number. 20 marks UNIT – IV Contributors of Indian mathematicians in Algebra only. Of the following. Varahmihir, Bhaskaracharya, ¼12th century½ Nilkantha Somaiya, 20 marks 80 MARKS Mahaviracharya UNIT-V Internal Assessment 20 marks ---------------------------------------------------------------------------------------------------------------- 5 Jyotish syllabus 2014-15 Diploma Course in Vedic Mathematics Paper I - BHARTIYA ANKA GANITAM (ARITHMETIC) Paper II - BHARTIYA BEEJ GANITAM Paper III - BHARTIYA REKHA GANITAM ( GEOMETRY) PAPER III - BHARTIYA REKHA GANITAM ( GEOMETRY) 80 MARKS UNIT – I Bodhayan Geometry, Triplet of an angle, Trigometry- Identities, Inverse functions Heights & Distances. Solution to trigonometric Equations. Solutions of triangles’ 20 marks UNIT – II Coordinate Geometry : circle, properties of Parabola, Ellipse & Hyperbola (without proof elementary Problems, Tangents) 20 marks UNIT – III (i) Derivatives of sum and product Madhav- Taylor & Madhav Maclaurine series, 20 marks (ii) Integration : substitution method, integration by Parts, standard forms. Definite integrals UNIT – IV Contributors of Indian mathematicians in the field of 20 marks Geometry only of the following. Madhavan, Nilkantha Somaiya, Parameshwaran, Brahmagupta ,Bhaskaracharya ¼12th century½ UNIT-V Internal Assessment 20 marks ---------------------------------------------------------------------------------------------------------------- 6 Jyotish syllabus 2014-15 REFERENCE BOOKS ON VEDIC MATHEMATICS 1½ Shri Bharti Krushnatirth shankaracharya : Vaidik Ganit ( Motilal Banarsidas Dehli.) 2½ Vaidik Ganiat Nirdeshika : Vidyabharti , Lakhnow 2010 3½ V.G. Unkalkar: Magical world of mathematics 4½ (Vandana Publication Banglore 2004) Gorakh Prasad : Differential calculus -Pothishala Ltd. Allahabad. 5½ Gorakh Prasad : Integral calculus - Pothishala Ltd. Allahabad. 6½ Dr. Anant Vyawhare % Bhartiya Ganiti ( Nachiket pra.) ( Marathi) 7½ Dr. Anant Vyawhare % Bhartiya Ganithadnya ( Sharda Sanskrit 8½ Sansthan Varanashi 2010) S. Parameshwaran : The Golden Age of Indian Mathematics 9½ ( Swadeshi Science Movement, Kochi, Kerala) John Stillwell : Maths & its History ( Springer Verlag) 10½ T.S. Bhanumurthy : A modern introduction to Ancient Indian 11½ K.P. Basu : Mathematics. Algebra ( K.P. Basu Publication, Kolkata) 12½ S. L.Loney : - Trigonometry part I & II 13½ S. L. Loney : (Deepa Publication, New Delhi) Coordinate Geometry ( Macmillan Co. NewYork) 14½ V. G. Heroor : Jyotpatti ( Rajastan Sanskrit Vidyapeeth Jaipuar.) Shri D. Khadilkar : Katyayan shutwasutre ( Maharashtra Rajya s. 16½ Mandal pune) P. Ganpatideo Shastri : Siddhant Shiromani ( Bhaskaracharya) 17½ Choukhamba pra. Hall & Knight : Algebra. 18½ E. T. Bell : Development of Mathematics (Dover publications N.Y. 1978) ------------------------------------------------------------------------------------------------ 7
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