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PRACTICAL [1]

Paper Code: 
MAT103
Credits: 
2
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

Students are required to familiarize themselves with software MATHEMATICA, for numerical computation on the following topics:

 

  • Introduction and simple arithmetic operations using Mathematica.
  • Limit of a function y = f(x).    
  • Differentiation of single variable functions y= f(x).
  • Differentiation of product of two and more than two single variable functions h(x) = f(x)*g(x).
  • Partial differentiation of order one of functions z= f (x,y).
  • First order partial derivatives and their representation in Jacobian matrix.
  • Partial differentiation of order two for functions z= f (x,y).
  • Second order partial derivatives and their representation in Hessian matrix.
  • Partial differentiation of order three for functions z= f (x,y).
  • Third order partial derivatives and their representation in Hessian matrix.
  • Jacobian Matrixat a fixed point.
  • Hessian Matrix at a fixed point.
  •  Extreme point and value of a function of single variable.
  •  Extreme point and value of a function of two variables.
  •  Tracing of single variable curves.

 

References: 

MATHEMATICA- Stephen Wolfram, Cambridge

Academic Year: 
2019-2020 [2]

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Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/practical
[2] https://maths.iisuniv.ac.in/academic-year/2019-2020