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Mathematics Practical-IX [1]

Paper Code: 
24CMAT512
Credits: 
2
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to –

  1. Familiarize with software like Mathematica/Matlab 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 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 for numerical computation on the following topics:

  1. Introduction and syntax to find the distance between two vectors.
  2. Types of spaces like null space, product spaces and their examples.
  3. To generate the set of polynomials as an example in vector space.
  4. Examples of linear space and coordinates of vectors with examples.
  5. Determining linear independence of a set of vectors [2].
  6. Rank of a matrix, rank with tolerance.
  7. Application to independent chemical reactions, choosing independent reactions.
  8. Basis of a vector space.
  9. Coordinates of vectors.
  10. Operations on vector spaces.

 

References: 

·Galina Filipuk [3] (Author)andrzej Kozłowski [4], Analysis with Mathematica ,Volume-1 (Single Variable Calculus), De Gruyter,  1st Edition .

  • INTRODUCTION TO MATLAB FOR ENGINEERING STUDENTS, David Houcque Northwestern University August 2005

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 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 [10]

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-ix

Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/mathematics-practical-ix
[2] http://matlab.cheme.cmu.edu/2011/08/02/determining-linear-independence-of-a-set-of-vectors/
[3] https://www.amazon.com/Galina-Filipuk/e/B09ZFB2X3P/ref=dp_byline_cont_book_1
[4] https://www.amazon.com/s/ref=dp_byline_sr_book_2?ie=UTF8&field-author=Andrzej+Koz%C5%82owski&text=Andrzej+Koz%C5%82owski&sort=relevancerank&search-alias=books
[5] https://www.mathworks.com/matlabcentral/answers/75258-how-to-create-a-vector-space
[6] https://www.mathworks.com/videos/linearly-spaced-vectors-97476.html
[7] https://www.mathworks.com/help/nav/ref/plannerbenchmark.metric.html
[8] https://mathematica.stackexchange.com/questions/264917/guide-to-plotting-metric-spaces
[9] https://www.jeremykun.com/2012/08/26/metric-spaces-a-primer/
[10] https://maths.iisuniv.ac.in/academic-year/2024-2025