Mathematics Practical-VII

Mathematics Practical-VII [1]

Paper Code:

25CMAT412

Credits:

Contact Hours:

60.00

Max. Marks:

100.00

Objective:

This course will enable the students to -

1. Familiarize with software or numerical computation of the fundamental arithmetic operations.

2. Compute the fundamental concepts of higher mathematics

3. Enhance Problem-Solving skills.

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
25CMAT 412	Mathematics Practical-VII (Practical)	CO73: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter. CO74: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions. CO75: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations. CO76: Enhance their communication skills by effectively presenting and defending their work. CO77: 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 tasks	Quiz, Individual or group projects, Open Book Test, Semester End Examination

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

25CMAT 412

Mathematics Practical-VII

(Practical)

CO73: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO74: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions.

CO75: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO76: Enhance their communication skills by effectively presenting and defending their work.

CO77: 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 tasks

Quiz,

Individual or group projects,

Open Book Test, Semester End Examination

CONTENTS

Students are required to familiarize themselves with mathematical software or numericals based on the following topics:

1. Binary Composition

2. Test for groups

3. Some special groups like-Symmetric group, General Linear Group(GLG)

4. Test for Rotation, Translation and symmetry in group.

5. Tests for subgroups and normal subgroups.

6. Verification of Lagrange’s theorem

7. Isomorphic groups

8. Verification of Cayley’s theorem

9. Formation of Quotient groups

10. Numericals on Rings, Fields, Integral Domains

Essential Readings:

A.R.Vasishtha, J. N. Sharma and A.K. Vasishtha, Linear Algebra, Krishna Prakashan, 2010.
K. C. Sarangi, Elements of Abstract Algebra, RBD, Jaipur, 2009.
Joseph Gallian, Contemporary Abstract Algebra, Cengage Learning USA, 2013.
MATHEMATICA- Stephen Wolfram, Cambridge
Galina Filipuk (Author) andrzej Kozłowski, Analysis with Mathematica ,Volume-1 (Single Variable Calculus), De Gruyter, 1st Edition .

References:

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 [6]

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