Thermodynamics
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Differential Equations
Differential Equations : Formulation and solution of differential equations of the forms.
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2) dy / dx = ƒ(y/x)
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Integral calculus
Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions.
Integration by parts. Integration by substitution and partial fraction.
Differential calculus
Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and of functions defined parametrically. Rolle’s Theorem and Lagrange’s Mean Value theorem (statement only).
Co-ordinate Geometry: Circle
Circle : Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter . Parametric equation of a circle. Intersection of a line with a circle.
Co-ordinate Geometry: Conics
Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.