Mathematics Practical-III
This course will enable the students to -
- Familiarize with software MATHEMATICA for numerical computation of the fundamental arithmetic operations using Mathematical software.
- Learn various techniques of getting exact solutions of certain solvable first order
differential equations and linear differential equations of second order. - Demonstrate algebraic facility with algebraic topics including linear, quadratic, exponential, logarithmic and trigonometric functions.
- Produce and interpret graphs of basic polar and cartesian curves.
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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 212 |
Mathematics Practical-III(Practical)
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CO29: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter. CO30: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions. CO31: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations. CO32: Enhance their communication skills by effectively presenting and defending their work. CO33: 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 |
Class test, Viva-voce, Practical File, Semester end examinations
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Course:
Students are required to familiarize themselves with software MATHEMATICA, for numerical computation on the following topics:
- Find a numerical solution to the ordinary differential equations.
- Solution of first order differential equation.
- Solutions of the differential equation with boundary conditions:
- Plotting the solution for the first order differential equation.
- Solution of first order simultaneous and exact differential equation.
- Solution of second and higher order differential equation.
- Plotting the solution of second and higher order differential equations.
- Solution of first order partial differential equation.
- Solution of second and higher order partial differential equation.
- Plotting the solution for the second and higher order partial differential equation.
MATHEMATICA- Stephen Wolfram, Cambridge
e- RESOURCES
- https://reference.wolfram.com/language/howto/SolveADifferentialEquation.html
- https://library.wolfram.com/infocenter/Books/8509/DifferentialEquationSolvingWithDSolve.pdf
- https://reference.wolfram.com/language/ref/DSolve.html
- https://reference.wolfram.com/language/ref/PolarPlot.html
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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