Mathematics Practical-IX [1]

Paper Code:

25CMAT512

Credits:

Contact Hours:

60.00

Max. Marks:

100.00

Objective:

This course will enable the students to –

Familiarize with software or numerical computation of the fundamental arithmetic operations.
Compute the fundamental concepts of higher mathematics.
Enhance Problem-Solving skills.
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 512	Mathematics Practical-IX (Practical)	CO95: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter. CO96: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions. CO97: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations. CO98: Enhance their communication skills by effectively presenting and defending their work. CO99: 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, Assigend tasks	Quiz, Power Point Presentations, 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 512

Mathematics Practical-IX

(Practical)

CO95: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO96: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions.

CO97: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO98: Enhance their communication skills by effectively presenting and defending their work.

CO99: 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, Assigend tasks

Quiz, Power Point Presentations, Individual or group projects, Open Book Test, Semester End Examination

CONTENTS

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

1. Numericals on metric spaces.

2. Numericals on Pseudo-metric space.

3. Numericals on Cauchy Sequence.

4. Numericals on Complete metric space.

5. Compactness and connectedness of spaces.

6. Numericals on Product spaces.

7. Formation of vectors.

8. Linear combination of vectors and linear span.

9. Test for linear dependence and linear independence of vectors.

10.Formation of bases and finding the dimensions of vector spaces. Introduction and syntax to find the distance between two vectors.

Essential Readings:

Savita Arora and S. C. Malik, Mathematical Analysis, New Age International, 2017.
P.K. Jain and K. Ahmad, Metric Spaces, Narosa Publishing House, New Delhi, 2004.
K.C. Sarangi, Real Analysis and Metric spaces, Ramesh Book Depot Jaipur, 2006.
MATHEMATICA- Stephen Wolfram, Cambridge.
Galina Filipuk (Author) andrzej Kozłowski, Analysis with Mathematica, Volume-1 (Single Variable Calculus), De Gruyter, 1st Edition.
INTRODUCTION TO MATLAB FOR ENGINEERING STUDENTS, David Houcque Northwestern University August 2005.

References:

e- RESOURCES

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

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

Academic Year:

2025-2026 [7]

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IIS (Deemed to be University)

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