Practical

Paper Code: 
CMAT 102
Credits: 
2
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to -

  • Familiarize with software like MATHEMATICA for numerical computation of the fundamental arithmetic operations.
  • Compute the fundamental concepts of single variable and multivariable calculus.
  • Demonstrate algebraic facility with algebraic topics including linear, quadratic, exponential, logarithmic, and trigonometric functions.
  • Produce and interpret graphs of basic polar and cartesian curves.

 

Course Outcomes (COs):

 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

 

 

CMAT 102

 

 

 

 

Practical

(Practical)

 

 

 

 

 

 

The students will be able to –

 

CO7: perform  both  simple  and complicated mathematical calculations which requires no previous knowledge of or training in computer programming

CO8: use the skills about programming in Mathematica oriented toward advanced data analysis, which 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

 

 

 

 

CONTENTS
 
Students are required to familiarize themselves with the software MATHEMATICA for numerical computation on the following topics:
 
  1. Introduction and simple arithmetic operations using Mathematica.
  2. Generates a power series expansion for f about the point x=x0 to order (x-〖x_0〗^(n )). 
  3. 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).
  4. Partial differentiation of order one and two of functions z= f (x, y) with matrix representation. 
  5. Partial differentiation of order three and more for functions z= f (x, y)  and their representation in Hessian matrix.
  6. Verification of Euler’s theorem.
  7. Derivative of an arc general and at particular point.
  8. Extreme point and value of a function of two variables.
  9. Tracing of polar curves, multiple polar curves, curve with angle variation and Plot styling.
  10. Tracing of cartesian curves, multiple curves, and region plots
References: 
MATHEMATICA- Stephen Wolfram, Cambridge
 
 
Academic Year: