[nilesh]

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Can you provide me the syllabus of Sem 1st of MCA (Master of Computer Application) at International Institute of Professional Studies, Devi Ahilya Vishwavidhyalaya?

[vikash]

The syllabus of Sem 1st of MCA (Master of Computer Application) at International Institute of Professional Studies, Devi Ahilya Vishwavidhyalaya is as follows:

MCA (6 Years) I SEMESTER
IC-101: Mathematics-I

Course Contents:

UNIT I
Review of the basic concepts of calculus: Introduction, concepts of function of one variable, Idea of limit, continuity and differentiability of the function.

UNIT II
Successive differentiation: Successive differentiation, Rolle’s Theorem, Mean value theorem,
Taylor’s theorem, Taylor's and Mac Lauren series, Intermediate forms.
Application of differentiation: Tangents and normals, Curvature, Maxima and Minima of the function sketching of curves (Cartesian and polar form) Asymptotes.

UNIT III
Integration: integration of Rational, irrational, and Transcendental function, Reduction formula, Integral as the limit of the sum, summation of series.

UNIT IV
Partial Differentiation: Partial Differentiation function of several variable, limit continuity and differentiability, partial derivatives, Euler’s theorem, Mean value theorem, Taylor’s theorem

UNIT V
Maxima and Minima: Maxima and minima of function of two and three variables.
Convergence Divergence: Convergence and Divergence of series, Definition and various tests.

Reference Books:
1. Differential Calculus – Shanti Narayan
2. Integral Calculus –Gorakh Prasad
3. Advanced Calculus-R.B. Thakur
4. Calculus For IInd Yr-H.K. Pathak


Syllabus Sem 1st of MCA International Institute of Professional Studies, Devi Ahilya Vishwavidhyalaya