APPLIED MATHS 1
1) SUCCESSIVE DIFFERENTIATION:
TOPICS COVERED:
Reorientation, Functions of one variable Application of derivatives, Curvature, Successive differentiation, Partial derivatives, Leibnitz rule for the nth order derivative of a function.
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2) RADIUS OF CURVATURE:
radius of curvature formula , paramtric form , examples..
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3) COMPLEX NUMBERS:
Complex numbers & their geometrical representation, Complex numbers in polar form Demoivre’s theorem and its applications, Exponential, logarithmic, trigonometric & hyperbolic functions.
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4) INFINITE SERIES:
. Sequence and their convergence , convergence and divergence of infinite series, Geometric series, P — Series, Necessary condition for convergence, Comparison test, ratio test Absolute convergence and conditional convergence of alternating series, Maclauarin’s & Taylor’s expansion with reminder form, Indeterminate forms L’Hospital’s rule
COMING SOON...
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5) DIFFERENTIAL EQUATION:
Reorientation, Modeling of engineering systems pertaining to first order differential equations, Exact differential equations, integrating factors, Unified approach to firs order ordinary differential equations, Equations of first order and higher degree.
COMING SOON......
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