Practical
This course will enable the students to -
- Familiarize with software MATHEMATICA, for numerical computation of the fundamental arithmetic operations using Mathematica.
- Computate the fundamental concepts of single variable and multivariable calculus.
- Demonstrate algebraic facility with algebraic topics including linear, quadratic, exponential, logarithmic, and trigonometric functions.
- Produce and interpret graphs of basic functions of these types.
- Solve equations and inequalities, both algebraically and graphically.
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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Paper Code |
Paper Title |
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MAT 103 |
Practical(Practical)
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The students will be able to –
CO13: Wolfram Mathematica is software used to perform both simple and complicated mathematical calculations which requires no previous knowledge of or training in computer programming CO14: This course is about programming in Mathematica oriented into advanced data analysis and will cover such areas as econometrics in addition to the language of the software itself. Because it can be used for a variety of computational techniques it can be useful for students in mathematics, the sciences, management, economics, finance, accounting and information sciences. |
Approach in teaching:
Interactive Lectures, Discussion, Power Point Presentations, Informative videos
Learning activities for the students: Self learning assignments, Effective questions, presentations, Giving tasks
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Quiz, Poster Presentations, Power Point Presentations, Individual and group projects, Open Book Test, Semester End Examination
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- Introduction and simple arithmetic operations using Mathematica.
- Limit of a function y = f(x).
- Sum of the n-term of series.
- Finding limit of a series, convergence of the series.
- Differentiation of single variable functions y= f(x) and product of two and more than two single variable functions h(x) = f(x)g(x).
- Partial differentiation of order one of functions z= f (x, y) and their representation in Jacobian Matrix.
- Partial differentiation of order two for functions z= f (x, y) and their representation in Hessian Matrix.
- Partial differentiation of order three for functions z= f (x, y).
- Third order partial derivatives and their representation in Hessian matrix.
- Hessian and Jacobian Matrix at a fixed point.
- Solution of first order differential equation.
- Solution of first order simultaneous differential equation.
- Extreme point and value of a function of single variable.
- Extreme point and value of a function of two variables.
- Tracing of single variable curves.
