Practical

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

This course will enable the students to -

  1. Familiarize with software MATHEMATICA, for numerical computation of the fundamental arithmetic operations using Mathematica.
  2. Computate the fundamental concepts of single variable and multivariable calculus.
  3. Demonstrate algebraic facility with algebraic topics including linear, quadratic, exponential, logarithmic, and trigonometric functions.
  4. Produce and interpret graphs of basic functions of these types.
  5. Solve equations and inequalities, both algebraically and graphically.

Course Outcomes (COs):

 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Paper Code

Paper Title

MAT 103

 

Practical

(Practical)

 

 

 

 

 

 

The students will be able to –

 

CO13: Wolfram  Mathematica  is  software  used  to  perform  both  simple  and complicated mathematical calculations which requires no previous knowledge of or training in computer programming

CO14: This course is about programming in Mathematica oriented into advanced data analysis and will cover such areas as econometrics in addition to the language of the software itself. Because it can be used for a variety of computational techniques it can be useful for students in mathematics, the sciences, management, economics, finance, accounting and information sciences.

Approach in teaching:

 

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

 

Learning activities for the students:

Self learning assignments, Effective questions, presentations,  

Giving tasks

 

 

Quiz, Poster Presentations,

Power Point Presentations, Individual and group projects,

Open Book Test, Semester End Examination

 

 

 

 

Students are required to familiarize themselves with software MATHEMATICA, for numerical computation on the following topics:
 
  1. Introduction and simple arithmetic operations using Mathematica.
  2. Limit of a function y = f(x).
  3. Sum of the n-term of series.
  4. Finding limit of a series, convergence of the series.
  5. Differentiation of single variable functions y= f(x) and product of two and more than two single variable functions h(x) = f(x)g(x).
  6. Partial differentiation of order one of functions z= f (x, y) and their representation in Jacobian   Matrix.
  7. Partial differentiation of order two for functions z= f (x, y) and their representation in Hessian Matrix.
  8. Partial differentiation of order three for functions z= f (x, y).
  9. Third order partial derivatives and their representation in Hessian matrix.
  10. Hessian and Jacobian Matrix at a fixed point.
  11. Solution of first order differential equation.
  12. Solution of first order simultaneous differential equation.
  13. Extreme point and value of a function of single variable.
  14. Extreme point and value of a function of two variables.
  15. Tracing of single variable curves.

 

Essential Readings: 
MATHEMATICA- Stephen Wolfram, Cambridge
 
Academic Year: