Mathematics Practical-XII

Paper Code: 
24CMAT614
Credits: 
4
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 co-ordinate systems.

 

Course Outcomes: 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

24CMAT 614

 

 

Mathematics Practical-XII

(Practical)

 

 

 

 

 

 

CO140: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO141: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions.

CO142: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO143: Enhance their communication skills by effectively presenting and defending their work.

CO144: Contribute effectively in course-specific interaction.

Approach in teaching:

Interactive Lectures, Discussion via softwares

 

Learning activities for the students:

Self learning assignments, Effective questions,

Assigned tasks

 

 

Class test,

Viva-voce, Practical record, Continuous assessment,

Semester End Examination

 

 

 

 

 

CONTENTS

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

  1. Calculate maxima and minima for inequalities.
  2. Plotting of inequalities.
  3. Calculate the solution of linear optimization problems where the objective function and constraints are all in linear form.
  4. Calculate the solution of optimization problems where the objective function and constraints may be linear or nonlinear.
  5. Optimization by finding stationary and singular points with plotting.
  6. Calculate the solution of primal and dual problems and confirm both problems have the same solution for feasible cases.
  7. Calculate the solution of primal and dual problems and confirm both problems have the same solution for bounded cases.
  8. Calculate solution of primal and dual problems for unbounded solutions.
  9. Calculate solution of primal and dual problems for infeasible solutions.
  10. Define an M/M/1 queue with arrival rate and service rate with Mathematica.

 

References: 

REFERENCES

 

MATHEMATICA- Stephen Wolfram, Cambridge

 

e- RESOURCES

·https://reference.wolfram.com/language/tutorial/ConstrainedOptimizationLocalNumerical.html

 

 

 

                         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

 

 

 

 

Academic Year: 
2024-2025
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