MATHEMATICS (CALCULUS & ANALYTICAL GEOMETRY)

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Complex Numbers, Argand Diagrams, De Moivre’s Theorem and its Application, Functions and Graphs, Algebra of Functions, Limits & its properties, Concept of Continuity with examples, continuous functions, Inverse function, Differentiation of functions, Tangents, Derivative as slope of tangent to a curve and as rate of change, Techniques of differentiation, Higher order derivatives and Leibnitz rule, Maxima / Minima and point of inflexion, Mean value theorems, Tailors and Maclanris expansions and their Convergence, Integral as Anti derivative, Basic Integration Techniques, Definite Integral as limit of a sum, Application to Area, Arc length, Volume and surface of Revolution.

Course Syllabus