B.TECH M1 IMP QUESTIONS

• Mathematics-I - Unit-I
  • Rolle's, Lagrange's, Cauchy's & Taylor's theorem [one question from this]
  • Convergence & divergence [IMP]
  • Cauchy's root test - Leibnitz's rule
• Mathematics-I - Unit-II
  • Newton's Law of cooling [IMP]
  • Orthogonal trajectories [IMP]
  • Bernoulli's equations [IMP] & Linear differential equations
• Mathematics-I - Unit-III
  • Non-homogeneous term of the type e^ax, sin(ax), cos(ax), polynomials in x^n, e^ax*v(x) and x^n*v(x)
  • LCR circuit & simple harmonic motion
• Mathematics-I - Unit-IV
  • Euler's theorem & chain rule & Jacobian [IMP]
  • Maxima & minima & Lagrange's method
• Mathematics-I - Unit-V
  • Double & Triple integrals [IMP]