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proposed syllabus for second year degree course in computer

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Unit 5:[6 Hours]Vector Calculus (Integral calculus): The l<strong>in</strong>e <strong>in</strong>tegral, Surface <strong>in</strong>tegral,volume <strong>in</strong>tegral, Gauss Divergence theorem, Stoke’s theorem, Green’stheoremUnit 6:[8 Hours]Numerical Methods: Solution of transdental equations by Newton Raphsonmethod, Gauss Seidel method to solve simultaneous l<strong>in</strong>ear equations,Lagranges Interpolation <strong>for</strong>mula <strong>for</strong> unequal <strong>in</strong>tervals, NumericalDifferentiation: - Newton’s <strong>for</strong>ward and Newton’s Backward difference<strong>for</strong>mulae, Solution of ord<strong>in</strong>ary differential equation by Euler’s modifiedmethod, and Runge-Kutta IV th order method.Note: All Theorems are without proofsSection A: Unit 1, 2, 3Section B: Unit 4, 5, 6Reference Books:1. P. N. Wartikar and J. N. Wartikar, “A Text Book of Eng<strong>in</strong>eer<strong>in</strong>gMathematics (Volume-I, II,III),” Pune Vidyarthi Griha Prakashan,Pune.2. B. S. Grewal, “Higher Eng<strong>in</strong>eer<strong>in</strong>g Mathematics,” KhannaPublications, New Delhi.3. H.K. Das, “Advanced Eng<strong>in</strong>eer<strong>in</strong>g Mathematics ,” S. Chand &Company.4. B.V. Ramana, “Higher Eng<strong>in</strong>eer<strong>in</strong>g Mathematics,” (Tata McGraw-Hill).5. Erw<strong>in</strong> Kreyszig , “Advanced Eng<strong>in</strong>eer<strong>in</strong>g Mathematics,” WileyEastern Ltd.6. Ravish R S<strong>in</strong>gh, Mukul Bhat, “Eng<strong>in</strong>eer<strong>in</strong>g Mathematics,” A TutorialApproach, Mc Graw HillPattern of Question Paper:The units <strong>in</strong> the <strong>syllabus</strong> shall be divided <strong>in</strong> two equal sections. Questionpaper shall be set hav<strong>in</strong>g two sections A and B. Section A questions shall beset on first three units (1,2,3) and Section B questions on rema<strong>in</strong><strong>in</strong>g threeunits (4,5,6) . Question paper should cover the entire <strong>syllabus</strong>.For 80 marks Paper:1. M<strong>in</strong>imum ten questions2. Five questions <strong>in</strong> each section3. Question no 1 and 6 be made compulsory and should have at least ten bitsof two marks out of which FIVE to be solved.4. Two questions from rema<strong>in</strong><strong>in</strong>g questions from each section be asked tosolve hav<strong>in</strong>g weightage of 15 marks

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