Elementary transformations of a matrix, Echelon form, Normal form, Rank of a matrix, Consistency of a System of Linear Equations, Homogeneous System of Linear Equations, Non-homogeneous System of Linear Equations, Eigen values and Eigen vectors, Cayley-Hamilton Theorem

Polar curves, Angle between the radius vector and the tangent to the polar curve, Angle between two polar curves, Polar subtangent and polar subnormal, Length of the perpendicular from the pole to tangent, Pedal equation, Derivatives of Arc Lengths, Cartesian Form, Parametric Form, Polar Form, Curvature, Radius of Curvature, Cartesian Form, Parametric Form, Pedal Form, Polar Form, Curve tracing

Ordinary differential equations of first order and of first degree, Separation of variables, Homogeneous differential equations, Reducible to homogeneous differential equations, Linear differential equations, Bernoulli's equations (reducible to linear differential equations), Exact differential equations, Reducible to exact differential equations, Orthogonal trajectories

Pages: 93

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