Mathematics-I (BT-1002)
Objectives The objective of this foundational course is to review mathematical concepts already learnt in higher secondary. This course will also introduce fundamentals of mathematical functions, derivatives and aspects of calculus to students. Syllabus UNIT 1: Recapitulation of Mathematics: Basics of Differentiation, Rolle’s and Lagranges Theorem, Tangents and Normals, Indefinite Integral (Substitution, Integration using Trigonometric Identity & Integration by Parts & Definite Integral). UNIT 2 : Ordinary Derivatives & Applications: Expansion of functions by Maclaurin’s & Taylor’s Theorem (One Variable), Maxima and Minima of functions of two variables, Curvature (Radius, Center & Circle of Curvature for Cartesian Coordinates), Curve Tracing. UNIT 3 : Partial Derivatives & Applications: Definition, Euler’s Theorem for Homogeneous Functions, Differentiation of Implicit Functions, Total Differential Coefficient, Transformations of Independent Variabl...
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