Mathematics Practical-XI [1]

Paper Code:

25CMAT612

Credits:

Contact Hours:

60.00

Max. Marks:

100.00

Objective:

This course will enable the students to -

Familiarize with software MATHEMATICA for numerical computation of the fundamental arithmetic operations.
Compute the fundamental concepts of higher mathematics.
Enhance problem-solving skills through programming in different mathematical software.
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
25CMAT 612	Mathematics Practical-XI (Practical)	CO129: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter. CO130: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions. CO131: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations. CO132: Enhance their communication skills by effectively presenting and defending their practical work during viva voce examinations. They will respond confidently to questions posed by examiners. CO133: Contribute effectively in course-specific interaction.	Approach in teaching: Interactive Lectures, Discussion via software Learning activities for the students: Self learning assignments, Effective questions, Assigned tasks	Class test, Viva-voce, Practical record, Continuous assessment, Semester End Examination

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

25CMAT 612

Mathematics Practical-XI

(Practical)

CO129: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO130: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions.

CO131: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO132: Enhance their communication skills by effectively presenting and defending their practical work during viva voce examinations. They will respond confidently to questions posed by examiners.

CO133: Contribute effectively in course-specific interaction.

Approach in teaching:

Interactive Lectures, Discussion via software

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 the software MATHEMATICA for numerical computation on the following topics:

1. Find real and imaginary parts of complex numbers.

2. Calculate absolute value and argument, conjugates of complex numbers.

3. Harmonic function, Laplace equations.

4. Check analyticity of complex functions, multivariate functions.

5. Calculate function f(z) when one of the harmonic conjugate is provided.

6. Check whether a function is meromorphic or not?

7. Find poles of given functions.

8. Calculate residues and Find sum of residues of given functions.

9. Calculate complex line integral by Ist principle of summation.

10. Plot a complex-valued function over the complex numbers.

Essential Readings:

References:

MATHEMATICA- Stephen Wolfram, Cambridge

e- RESOURCES

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 Continuous Assessment

Time Duration: 90 minutes

Test

Practical Record

Viva Voce

Attendance

Total

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 4 out of 5 questions, each question carry 10 marks

Scheme of Evaluation for Semester End Examination

Time Duration: 3 hrs.

Conduction

Practical Record

Viva-voce

Total

Students need to attempt any 4 out of 5 questions, each question carry 10 marks

Academic Year:

2025-2026 [5]

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