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pondicherry university mathematics department |
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Re: pondicherry university mathematics department
The eligibility requirement for 5 Year Integrated M.Sc. Program offered by Department of Mathematics of Pondicherry University is as follows: Candidates who have passed in +2 with minimum 50% marks and should have studied Mathematics as one of the main subjects Those who studied only Business Mathematics are not eligible. 5 Year Integrated M.Sc. Program Syllabus HARD CORE COURSE MATH 111: DIFFERENTIAL CALCULUS Unit -I Derivative of a function, Differentiation rules, Rate of change, Derivatives of trigonometric functions, Chain Rule, Implicit differentiation rational exponents Inverse functions and their derivatives, Hyperbolic function Unit -II Application of Derivatives Increasing decreasing functions, Maxima Minima, Error –approximation, optimization, Newton method, mean value theorems, Taylor theorem, and Maclaurians theorem. Unit- III Asymptotes, test of concavity& convexity point of inflexion, Multiple point Training curves in cartiean & Polar co-ordinates. Unit -IV Successive differation, Leibritz Rule, Problems and examples Unit -V Exponent function ax, log—functions, Theorems on Exponent & Log functions. Partial Differentiation, chain rule, Eulers Theorem Text Book 1) George B.Thomas, Jr. and Ross L. Finney, Calculus, 9th Edition, Pearson Education, 2006 2) E.Kreyzgy, Advanced Engineering Mathematics, Wiley, 8th edition, Student edition 1999 3) Serge Larg, A First course in Calculus, 5th edition Springer, 1999 Pondicherry University 5 Year Integrated M.Sc. Program Syllabus |
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