Mathematics Practical-I

Paper Code: 
24CMAT102
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.
  2. Compute the fundamental concepts of higher mathematics.
  3. Enhance Problem-Solving skills through programming in different mathematical software.
  4. Produce and interpret graphs in various coordinate systems.

 

Course Outcomes: 

 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

24CMAT 102

 

 

 

 

 

 

 

Mathematics Practical-I

(Practical)

 

 

 

 

 

 

CO7: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO8: Apply their knowledge and skills acquired to perform effectively, analyse the task and draw meaningful conclusions.

CO9: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO10: Enhance their communication skills by effectively presenting and defending their work.

CO11: Contribute effectively in course-specific interaction.

  

Approach in teaching:

 

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

Learning activities for the students:

Self learning assignments, Effective questions, 

Assigned task                                                                                                                       

 

Class test, Viva-voce, Practical File, Semester end examinations

 

 

 

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=x_0  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 the 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, curves with angle variation and plot styling.
  10. Tracing of cartesian curves, multiple curves and region plots.
 

       Scheme of Evaluation for Continuous Assessment

Time Duration: 90 minutes

Test

 Practical Record

Viva Voce

Attendance

Total

10

10

05

05

30

Students need to attempt any 2 out of 4 questions from four topics, each question carry 5 marks

Scheme of Evaluation for Semester End Examination

Time Duration: 3 hrs.

Conduction

 

Practical Record

Viva-voce

 

Total

40

10

20

70

Students need to attempt any 8 out of 10 questions, each question carry 5 marks

 

 

References: 

MATHEMATICA- Stephen Wolfram, Cambridge

e- RESOURCES

 

 

Academic Year: 
2024-2025
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