BACHELOR OF TECHNOLOGY (B.TECH)
campaign Structure
First Year
First Semester
|Paper Code |Subject |
|BF1 | maths I |
|BF2 |Chemistry |
|BF3 |English for Communication |
|BF4 |Electrical engineering |
|BF5 |Mechanics |
|BF6 |Introduction to Manufacturing Process |
SYLLABUS
BF1 : MATHEMATICS I
1 : LIMITS AND persistency 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 inflated functions, Differentiation with respect to a function, Differentiation of Parametric Equations.
3 : SUCCESSIVE DIFFERENTIATION
Calculation of nth derivative, Leibnitzs theorem.
4 : ordinary THEOREMS, EXPANSION OF FUNCTIONS.
Rolles Theorem, Mean value theorem (Lagranges form), increase and Decreasing functions, Mean value theorem (Cauchys form).
Expansion of functions;
Taylors expansion theorem, Maclaurins theorem, Taylors and Maclaurins infinite series.
5 : INDETERMINATE FORM
L Hospitals rule, rating of % form, Evaluation of [pic]form, Evaluation of [pic] form, Evaluation of 00, 1[pic], [pic]0 form.
6 : CURVATURE
Radius of curvature, Special enactment for parametric equations, Radius of curvature at the origin.
7 : MAXIMA AND MINIMA
level best and Minimum values of a function.
8 : ELEMENTARY INTEGRATION
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