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Old July 7th, 2016, 12:45 PM
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Old May 26th, 2017, 09:13 AM
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Can you provide me the eligibility requirement for 5 Year Integrated M.Sc. Program offered by Department of Mathematics of Pondicherry University?
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Old May 26th, 2017, 09:16 AM
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Default 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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