B TECH IN CIVIL ENGINEERING STUDIES

COURSE STRUCTURE & SYLLABUS OF BACHELOR OF TECHNOLOGY (B.TECH) Mechanical/ Electrical/ Electronics/ Computer/ Civil Course Structure First Year (Common for all streams) First Semester Paper Code Subject BF1 Mathematics – I BF2 Chemistry BF3 English for Communication BF4 Electrical Technology BF5 Mechanics BF6 Introduction to Manufacturing ProcessSYLLABUS BF1 : MATHEMATICS I 1 : LIMITS AND CONTINUITY OF A FUNCTION. 2 : DIFFERENTIATION. Definition, Derivative by first principle, Differentiation of implicit functions, Differentiation of trigonometric functions, Differentiation of inverse trigonometric functions, Transformation, Differentiation of exponential and Logarithmic Functions, Hyperbolic functions, Derivatives of the inverse hyperbolic functions, Differentiation with respect to a function, Differentiation of Parametric Equations. 3 : SUCCESSIVE DIFFERENTIATION Calculation of nth derivative, Leibnitz’s theorem. 4 : GENERAL THEOREMS, EXPANSION OF FUNCTIONS. Rolle’s Theorem, Mean value theorem (Lagrange’s form), Increasing and Decreasing functions, Mean value theorem (Cauchy’s form). Expansion of functions; Taylor’s expansion theorem, Maclaurin’s theorem, Taylor’s and Maclaurin’s infinite series. 5 : INDETERMINATE FORM L’ Hospital’s rule, Evaluation of % form, Evaluation of   form, Evaluation of    form, Evaluation of 00 , 1  ,  0 form. 6 : CURVATURE Radius of curvature, Special formula for parametric equations, Radius of curvature at the origin. 7 : MAXIMA AND MINIMA Maximum and Minimum values of a function. 8 : ELEMENTARY INTEGRATION Table of elementary integrals, Simple examples. 9 : INTEGRATION BY SUBSTITUTION Introduction, Change