Mathematics Paper I: Calculus and Analytic Geometry

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Calculus and Analytic Geometry Syllabus Unit I Unit II Unit III Preliminaries Limit of function of one variable Continuity of function of one variable Differentiability of function of one variable Rolle's Theorem and Mean Value Theorems Taylor's Theorem Plotting graphs using Derivatives Unit IV Unit V Unit VI Vectors Lines and Planes in space Coordinate Systems Functions of two and three variables Limit of a function of two variables Vector valued function Partial Derivatives Differentiability, gradients and directional derivatives Extreme values of a function of two variables