Mathematics Practical-IX
This course will enable the students to –
- Familiarize with software like Mathematica/Matlab 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.
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Course |
Learning outcomes (at course level) |
Learning and teaching strategies |
Assessment Strategies |
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Course Code |
Course Title |
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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:
- Introduction and syntax to find the distance between two vectors.
- Types of spaces like null space, product spaces and their examples.
- To generate the set of polynomials as an example in vector space.
- Examples of linear space and coordinates of vectors with examples.
- Determining linear independence of a set of vectors.
- Rank of a matrix, rank with tolerance.
- Application to independent chemical reactions, choosing independent reactions.
- Basis of a vector space.
- Coordinates of vectors.
- Operations on vector spaces.
·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
e- RESOURCES
- https://www.mathworks.com/matlabcentral/answers/75258-how-to-create-a-vector-space
- https://www.mathworks.com/videos/linearly-spaced-vectors-97476.html
- https://www.mathworks.com/help/nav/ref/plannerbenchmark.metric.html
- https://mathematica.stackexchange.com/questions/264917/guide-to-plotting-metric-spaces
- https://www.jeremykun.com/2012/08/26/metric-spaces-a-primer/
Scheme of Evaluation for Continuous AssessmentTime Duration: 90 minutes |
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Test |
Practical Record |
Viva Voce |
Attendance |
Total |
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10 |
10 |
05 |
05 |
30 |
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Students need to attempt any 2 out of 4 questions from four topics, each question carry 5 marks |
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Scheme of Evaluation for Semester End Examination Time Duration: 3 hrs. |
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Conduction
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Practical Record |
Viva-voce
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Total |
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40 |
10 |
20 |
70 |
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Students need to attempt any 8 out of 10 questions, each question carry 5 marks |
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