My Profile
Active Members
TodayLast 7 Days
more...
Awards & Gifts
Online Exams
Fresher Jobs
Our fresher job section is exclusively for fresh graduates! Find jobs for freshers in major Indian
cities including Bangalore, Chennai, Hyderabad, Pune or Kochi
Resources
Find educational articles, blogs, discussion threads and other resources.
Colleges
Find details about any college in India or search for courses.
Advertisements
|
JNTU 2007-2008 1ST YEAR B.Tech -MATHEMATICS – I
Posted Date: 09 Dec 2007 Resource Type: Articles/Knowledge Sharing Category: Syllabus
|
Posted By: Sri Member Level: Gold
Rating:  Points: 1
|
|
|
2007-08
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY
HYDERABAD
I Year B.Tech. M.E. T P C
3+1* 0 6
MATHEMATICS – I
UNIT – I
Differential equations of first order and first degree – exact, linear and Bernoulli. Applications to Newton’s Law of cooling, Law of natural growth and decay, orthogonal trajectories.
UNIT – II
Non-homogeneous linear differential equations of second and higher order with constant coefficients with RHS term of the type e , Sin ax, cos ax, polynomials in x, e V(x), xV(x), method of variation of parameters.
UNIT – III
Rolle’s Theorem – Lagrange’s Mean Value Theorem – Cauchy’s mean value Theorem – Generalized Mean Value theorem (all theorems without proof) Functions of several variables – Functional dependence- Jacobian- Maxima and Minima of functions of two variables with constraints and without constraints
UNIT – IV
Radius, Centre and Circle of Curvature – Evolutes and Envelopes Curve tracing – Cartesian , polar and Parametric curves.
UNIT – V
Applications of integration to lengths, volumes and surface areas in Cartesian and polar coordinates multiple integrals - double and triple integrals – change of variables – change of order of integration.
UNIT – VI
Sequences – series – Convergences and divergence – Ratio test – Comparison test – Integral test – Cauchy’s root test – Raabe’s test – Absolute and conditional convergence
UNIT – VII
Vector Calculus: Gradient- Divergence- Curl and their related properties of sums- products- Laplacian and second order operators. Vector Integration - Line integral – work done – Potential function – area- surface and volume integrals Vector integral theorems: Green’s theorem-Stoke’s and Gauss’s Divergence Theorem (With out proof). Verification of Green’s - Stoke’s and Gauss’s Theorems.
UNIT – VIII
Laplace transform of standard functions – Inverse transform – first shifting Theorem, Transforms of derivatives and integrals – Unit step function – second shifting theorem – Dirac’s delta function – Convolution theorem – Periodic function - Differentiation and integration of transforms-Application of Laplace transforms to ordinary differential equations Partial fractions-Heaviside’s Partial fraction expansion theorem.
 Attachments
MATHEMATICS-I ACTUAL COPY (3061-9059-MATHS-I20072008.doc)
|
Responses
|
No responses found. Be the first to respond and make money from revenue sharing program.
|
|
|