Mathematics Practical-V
- 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.
- Develop an understanding of real numbers, limit points, open and closed sets.
- Understand the concept of limit and convergence of a sequence.
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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 312 |
Mathematics Practical-V(Practical)
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CO51: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter. CO52: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions. CO53: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations. CO54: Enhance their communication skills by effectively presenting and defending their work. CO55: 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, Assigned tasks
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Class test, Viva-voce, Practical File, Semester end examinations
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CONTENTS
Students are required to familiarize themselves with software MATHEMATICA, for numerical computation on the following topics:
1. Find numbers between two real numbers and plotting of finite and infinite subset of R.
2. List out the first 20 terms of the sequence.
3. Plot the 50 terms of the sequence.
4. Find limit of the sequence.
5. Study the convergence of sequences through plotting.
6. Verify Bolzano-Weierstrass theorem through plotting of sequences.
7. Find the sum of the series and their convergence.
8. Study the convergence and divergence of Infinite series of real numbers by plotting their sequence of partial sums by checking the convergence of series by different test.
9. Plot the Fibonacci sequence and study the convergence of the graph.
10. Plot the recursive sequence and study the convergence.
- MATHEMATICA- Stephen Wolfram, Cambridge
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Galina Filipuk (Author) andrzej Kozłowski, Analysis with Mathematica, Volume-1 (Single Variable Calculus), De Gruyter, 1st Edition.
e- RESOURCES
- https://library.wolfram.com/infocenter/Books/8511/NotebooksAndDocumentsPart1.pdf
- https://minerva.union.edu/labrakes/MathematicaIntro.pdf
- https://pages.mtu.edu/~msgocken/pdebook2/mathtut2.pdf
- https://www.wolfram.com/broadcast/video.php?c=89&v=327&disp=list&p=1
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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