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Maths-I

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Code : 110008 Common Name : M-I Year : 1 Sem : 1
Theory Hours : 3 Practical Hours : 0 Tutorial Hours : 2 Credits : 5
Exam Marks : 70 Midsem Marks : 30 Practical Marks : 50 Total : 150


Syllabus Topics





Review of limits, continuity, differentiability



Mean value theorem, Taylors Theorem, Maxima and Minima



Riemann integrals, Fundamental theorem of Calculus, Improper integrals, applications to area, volume



Convergence of sequences and series, power series



Partial Derivatives, gradient and directional derivatives, chain rule, maxima and minima, Lagrange multipliers



Double and Triple integration, Jacobians and change of variables formula



Parametrization of curves and surfaces, vector Fields, line and surface integrals



Divergence and curl, Theorems of Green, Gauss, and Stokes




Books

Hughes-Hallett et al., Calculus - Single and Multi

- John-Wiley and Sons (2003).

Calculus (5th Edition),

James Stewart - Thomson (2003).

Calculus, Volumes 1 and 2 (2nd Edition)

T. M. Apostol - Wiley Eastern 1980.

Calculus and Analytic Geometry

. G. B. Thomas and R. L. Finney

Exam Papers

Sem2008200920102011201220132014
1Dec - 2008
22-12-2008


Mar - 2009
18-03-2009


Dec - 2010
06-12-2010


Mar - 2010
08-04-2010


Jan - 2010
11-01-2010


Dec - 2011
23-12-2012


Jun - 2011
18-06-2011


Jan - 2011
11-01-2011


Jun - 2012
06-06-2012


Dec - 2013
23-12-2013


Jan - 2013
10-06-2013


Jun - 2014
19-06-2014


Jun - 2014
19-06-2014



GTU Result

ExamTotalPassPass %FailFail %AA
34,55619,47256.3515,08443.6545
2150.00150.00 
3 0.003100.00 


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