Unit-I
Concavity, convexity and points of inflexion, Multiple points, Asymptotes, Tracing of curves (Cartesian and parametric co-ordinates only). Curvature: Curvature of a curve at a point, radius of curvature of cartesian, parametric, polar curves and for implicit functions , evolute and involute, chord of curvature.
Unit-II
Integral calculus: Integration of hyperbolic and inverse hyperbolic functions. Reduction Formulae. Numerical Integration: Trapezoidal, Prismoidal and Simpson Rules. Application of definite integral: Summation of Series, Quadrature, rectification, volumes and surfaces of solids of revolution (Cartesian co-ordinates only)
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Important Questions list.
Important Formulae (Chapter Wise).
University Rules
Paper II: Calculas II
Max. Marks : 30
Time : 3 Hours
Note:
1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set from each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from eachUnit. Each question will carry 6 marks.
3. The teaching time shall be five periods (45 minutes each) per paper per week including tutorial.
4. If internal assessment is to be conducted in the form of written examinations, then there will be only one written examination in a Semester
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