What to Study?
What to Study?

What to Prepare For Sem 2 Applied Maths:

Semester 2 weightage
Semester 2 weightage

Double Integration + Area + Mass:

(Note: Very Important Chapter as 4-5 problems can be asked. It is a major chapter.

You cannot pass Sem 2 Maths by leaving Double Integration chapter in option)

Topics to be prepared

I want to Just Pass: Problems based on

  • Evaluation of Simple Double integration in Cartesian and Polar Co-ordinates.
  • Changing the order of integration.
  • Evaluation by Changing the order of integration.
  • Computing the Area of a region using Double Integration

I want to get good Marks:

I want to Score Maximum:

  • Computing the Mass of a Lamina using Double Integration

Triple Integration + Volume

(Note: A Small Chapter)

Topics to be prepared

I want to Just Pass: Problems based on

  • Evaluation of Triple integration based on Cartesian coordinates.
  • Evaluation of Volume using Triple integration in Cartesian system.

I want to get good Marks: (As above and plus)

  • Evaluation of Triple integration based on cylindrical and spherical polar coordinates.
  • Evaluation of Volume using Triple integration in Polar system.

Numerical Solutions of D.E.:

(Note: Very Easy Chapter. Only a Fool will leave this Chapter)

Topics to be prepared

I want to Just Pass: Problems based on

  • Runga‐Kutta fourth order formula: Very Important. One problem sure on this Topic.
  • Taylor’s series method: Very Important. One problem sure on this Topic.

I want to get good Marks: (As above and plus)

  • Modified Euler method or Runge-Kutta method of order 2.
  • Euler’s method.

Numerical Integration: 

(Note: Very Very Very Easy Chapter. Only a Fool will leave this Chapter)

 Topics to be prepared

I want to Just Pass: Problems based on

  • Numerical integration by Trapezoidal rule
  • Numerical integration by Simpson’s 1/3rd rule
  • Numerical integration by Simpson’s 3/8th rule.

(Very Important. One problem on for sure)


Rectification:

(Note: A Small Chapter)

Topics to be prepared

I want to Just Pass:

  • Safely Avoid this chapter.

I want to get good Marks: Problems based on

  • Rectification of plane curves using cartesian equations.
  • Rectification of plane curves in using Polar equations.
  • Rectification of plane curves in using Parametric equations.

Differential Equations of First Order + First Degree & Its Applications

(Note: Very Important Chapter as 3-4 problems can be asked. It is a major chapter)

Topics to be prepared

I want to Just Pass: Problems based on

  • Variable Separable Method.
  • Homogenous Differential Equations.
  • Exact Differential Equations.
  • Equations reducible to exact form by using integrating factors. (4 Methods)
  • Linear differential equations. (Two Forms)
  • Equation reducible to linear form. (Two Forms)

I want to get good Marks: (As above and plus)

  • Bernoulli’s equation.

I want to Score Maximum: (As above and plus)

  • Simple application of differential equation of first order and first degree to electrical and Mechanical Engineering problem

Linear Differential Equations Homogenous Differential Equations:

(Note: Very Important Chapter as 3-4 problems can be asked. It is a major chapter)

Topics to be prepared

I want to Just Pass: Problems based on

  • Complementary Function: Very Important. One Compulsory problem sure on this Topic.
  • Particular Integrals: f (D) y = X where X is eax, sin (ax + b), cos (ax + b), xn, eax V, xV.
  • Method of Variation Of Parameters: Very Important. One problem sure on this Topic.

I want to get good Marks: (As above and plus)

  • Cauchy’s Homogeneous Linear Differential Equation.
  • Legendre’s Differential Equation.

(One problem on one of the above topic for sure)


Beta & Gamma Functions & D.U.I.S.

(Note: One problem asked in compulsory question)

Topics to be prepared

I want to Just Pass:

  • Safely Avoid this chapter.

 

I want to get good Marks: Problems based on

  • Definitions of Beta and Gamma functions.
  • Properties of Beta and Gamma functions.
  • Duplication Formula

 

I want to Score Maximum: (As above and plus)

  • Proof of Duplication Formula
  • Differentiation under integral sign with constant limits of integration.

 

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