Bhagirathi Bai Narayana Rao Maanay College

Give me B.Tech first year syllabus of Bhagirathi Bai Narayana Rao Maanay College

[Shaleen]

Bhagirathi Bai Narayana Rao Maanay College offer B.Tech course which is affiliated by Visvesvaraya Technology University and here is its first year syllabus:

UNIT – 1
Differential Calculus – 1 Determination of nth derivative of standard functions-illustrative examples. Leibnitz’s theorem (without proof) and problems. Rolle’s Theorem – Geometrical interpretation. Lagrange’s and Cauchy’s mean value theorems. Taylor’s and Maclaurin’s series expansions of function of one variable (without proof).
6 Hours

UNIT – 2
Differential Calculus – 2 Indeterminate forms – L’Hospital’s rule (without proof), Polar curves: Angle between polar curves, Pedal equation for polar curves. Derivative of arc length – concept and formulae without proof. Radius of curvature - Cartesian, parametric, polar and pedal forms.
7 Hours

UNIT – 3
Differential Calculus – 3 Partial differentiation: Partial derivatives, total derivative and chain rule, Jacobians-direct evaluation. Taylor’s expansion of a function of two variables-illustrative examples. Maxima and Minima for function of two variables. Applications – Errors and approximations.

6 Hours
UNIT – 4
Vector Calculus Scalar and vector point functions – Gradient, Divergence, Curl, Laplacian, Solenoidal and Irrotational vectors. Vector Identities: div (øA), Curl (øA) Curl (grad ø ) div (CurlA) div (A x B ) & Curl (Curl A) . Orthogonal Curvilinear Coordinates – Definition, unit vectors, scale factors, orthogonality of Cylindrical and Spherical Systems. Expression for Gradient, Divergence, Curl, Laplacian in an orthogonal system and also in Cartesian, Cylindrical and Spherical System as particular cases – No problems

For complete syllabus I am uploading a pdf file which is free for you and you can download it freely.