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Mathematics Practical-II [1]

Paper Code: 
25CMAT202
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 Mathematical software.
  2. Learn various techniques of getting exact solutions of certain solvable first order
    differential equations and linear differential equations of second order.
  3. Demonstrate algebraic facility with algebraic topics including linear, Quadratic, Exponential, logarithmic and trigonometric functions.
  4. Produce and interpret graphs of basic polar and cartesian curves.

 

Course Outcomes: 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

25CMAT 202

 

 

 

 

Mathematics Practical-II

(Practical)

 

 

 

 

 

 

CO18: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO19: Apply their knowledge and skills acquired to perform effectively, analyse the task and draw meaningful conclusions.

CO20: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO21: Enhance their communication skills by effectively presenting and defending their practical work.

CO22: 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, presentations, Assigned tasks

 

 

 

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

 

 

 

 

 

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

  1. Finds a numerical solution to the ordinary differential equations.

  2. Solution of first order differential equation.

  3. Solutions of the  differential equation with  boundary conditions:

  4. Plotting the solution for the First order differential equations.

  5. Solution of first order simultaneous and exact differential equation.

  6. Solution of second order and higher order differential equation.

  7. Plotting the solution of second order and higher order differential equations.

  8. Solution of First order partial differential equation.

  9. Solution of Second and higher order partial differential equation.

  10. Plotting the solution for the Second and higher order partial differential equation.

 

 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: 
2025-2026 [6]

Follow Mathematics on:

IIS (Deemed to be University)

Gurukul Marg, SFS, Mansarovar, Jaipur 302020, (Raj.) India Phone:- +91-141-2400160-61, 2397906-07, Fax: 2395494, 2781158

Source URL: https://maths.iisuniv.ac.in/courses/subjects/mathematics-practical-ii-2

Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/mathematics-practical-ii-2
[2] https://reference.wolfram.com/language/howto/SolveADifferentialEquation.html
[3] https://library.wolfram.com/infocenter/Books/8509/DifferentialEquationSolvingWithDSolve.pdf
[4] https://reference.wolfram.com/language/ref/DSolve.html
[5] https://reference.wolfram.com/language/ref/PolarPlot.html
[6] https://maths.iisuniv.ac.in/academic-year/2025-2026