Practical
This course will enable the students to -
- Familiarize with software MATHEMATICA, for numerical computation of the fundamental arithmetic operations using Mathematica.
- Develop an understanding of real numbers, limit points, open and closed sets.
- An introduction to limit and convergence of a sequence,
Course Outcomes (COs):
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Course |
Learning outcomes (at course level) |
Learning and teaching strategies |
Assessment Strategies |
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|---|---|---|---|---|
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Course Code |
Course Title |
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CMAT 312 |
Practical(Practical)
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The students will be able to –
CO37: perform both simple and complicated mathematical calculations which requires no previous knowledge of or training in computer programming CO38: use the skills about programming in Mathematica to solve problems of real analysis. CO39: Describe fundamental properties of the real numbers that lead to the formal development of real analysis. CO40: Demonstrate an understanding of limits and convergence of sequences. |
Approach in teaching:
Interactive Lectures, Discussion, Power Point Presentations, Informative videos
Learning activities for the students: Self learning assignments, Effective questions, presentations, Giving tasks
|
Quiz, Poster Presentations, Power Point Presentations, Individual and group projects, Open Book Test, Semester End Examination
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- Find numbers between two real numbers and plotting of finite and infinite subset of R.
- List out the first 20 terms of the sequence.
- Plot the 50 terms of the sequence.
- Find limit of the sequence.
- Study the convergence of sequences through plotting.
- Verify Bolzano-Weierstrass theorem through plotting of sequences.
- Find the sum of the series and their convergence.
- Study the convergence and divergence of Infinite series of real numbers by plotting their sequece of partial sums by checking the convergence of series by different test.
- Plot the Fibonacci sequence a1=1, a2=1, an+2= an+ an+1 and study the convergence of the graph
- Plot the recursive sequence an+1=3an, a1=7 and study the convergence.
