[vc_row el_class=”inner-body-content” css=”.vc_custom_1668408976975{padding-top: 30px !important;padding-bottom: 20px !important;}”][vc_column][vc_custom_heading text=”COURSE OBJECTIVES” use_theme_fonts=”yes” css=”.vc_custom_1668408948148{margin-top: 0px !important;}”][vc_column_text]
- To introduce various techniques for solving (i) linear, non-linear, and difference equations using various numerical methods and (ii) complex numbers and variables.
- To apply gained knowledge to solve practical problems.
[/vc_column_text][vc_custom_heading text=”COURSE LEARNING OUTCOMES (CLO)” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]CLO: 1. To solve problems of non-linear equations, interpolation, numerical differentiation/integration and linear simultaneous equations.
CLO: 2. To analyze complex numbers and variables.
CLO: 3. To justify his/her analysis of various engineering problems by concepts of Numerical Analysis.
CLO: 4. To perform simple calculations related to numerical analysis in software (Mat Lab or Mathematica).
[/vc_column_text][vc_custom_heading text=”COURSE CONTENTS” use_theme_fonts=”yes”][vc_column_text css=”.vc_custom_1668408928536{margin-bottom: 0px !important;}”]
- Solution of Non-Linear Equations
- Bisection method
- Newton’s method
- Secant method
- Method of false position
- Method of successive approximation
- Interpolation
- Basic idea
- Taylor’s polynomial
- Lagrange’s formula of interpolation
- Numerical Differentiation and Integration
- Numerical differentiation
- Review of integration concept and their physical significance for Engineering
- Trapezoidal and Simpson’s rule numerical integration techniques
- Solution of Linear Simultaneous Equations
- Gaus Elimination and Gaus-Jordan methods
- Numerical solution of differential equations
- Euler and modified Euler methods
- Runge-Kutta methods
- Complex Numbers
- Basic operations
- Graphical representations
- Polar and exponential forms of complex numbers
- De’moivre’s theorem with applications
- Complex Variables
- Limit, continuity, zeros and poles
- Cauchy-Reimann Equations
- Use of Softwares
- Matlab
- Mathmatica
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