Algebraic and Numerical Algorithms (original) (raw)
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Unit 35 Further Analytical Methods
This unit aims to further develop the analytical knowledge and techniques necessary to analyse and solve a variety of engineering situations and problems. • Unit abstract This unit has been designed to enable learners to use number systems, graphical and numerical methods, vectors, matrices and ordinary differential equations to analyse, model and solve realistic engineering problems. Learners will use estimation techniques and error arithmetic to establish realistic results from experiments and general laboratory work. They will then consider the conversion of number systems from one base to another and the application of the binary number system to logic circuits. Complex numbers and their application to the solution of engineering problems are also studied. Learners will look at the use of graphical techniques together with various methods of numerical integration (for example Simpson's rules) and estimation (for example Newton-Raphson). They will then go on to analyse and model engineering situations using vector geometry and matrix methods. Finally, learners will study both first and second order differential equations and their application to a variety of engineering situations dependant upon the learner's chosen discipline. On successful completion of this unit a learner will: 1 Be able to analyse and model engineering situations and solve problems using number systems 2 Be able to analyse and model engineering situations and solve problems using graphical and numerical methods 3 Be able to analyse and model engineering situations and solve problems using vector geometry and matrix methods 4 Be able to analyse and model engineering situations and solve problems using ordinary differential equations.
2014
efficient numerical techniques for the earthing design and the
Lab Manual Numerical Technique
Manual, 2018
Study of Introduction to MATLAB 2. Study of basic matrix operations 3. To solve linear equation 4. Solution of Linear equations for Underdetermined and Overdetermined cases. 5. Determination of Eigen values and Eigen vectors of a Square matrix. 6. Solution of Difference Equations. 7. Solution of Difference Equations using Euler Method. 8. Solution of differential equation using 4 th order Runge-Kutta method. 9. Determination of roots of a polynomial. 10. Determination of polynomial using method of Least Square Curve Fitting. 11. Determination of polynomial fit, analyzing residuals, exponential fit and error bounds from the given data. 12. Determination of time response of an R-L-C circuit.