[vc_row el_class=”inner-body-content” css=”.vc_custom_1667207305647{padding-top: 30px !important;padding-bottom: 20px !important;}”][vc_column][vc_custom_heading text=”Pre-requisite(s)” font_container=”tag:h3|font_size:20px|text_align:left” use_theme_fonts=”yes” css=”.vc_custom_1667207294123{margin-top: 0px !important;}”][vc_column_text]None[/vc_column_text][vc_custom_heading text=”Recommended Book(s)” font_container=”tag:h3|font_size:20px|text_align:left” use_theme_fonts=”yes”][vc_column_text]Numerical Analysis, Scheid, Schaum Series, Latest Edition[/vc_column_text][vc_custom_heading text=”Reference Book(s)” font_container=”tag:h3|font_size:20px|text_align:left” use_theme_fonts=”yes”][vc_column_text]Complex Variables, Murray R. Spiegel, Schaum Series, Latest Edition[/vc_column_text][vc_custom_heading text=”COURSE OBJECTIVES” use_theme_fonts=”yes”][vc_column_text]1. To introduce various techniques for solving linear, non-linear, and difference equations using various numerical methods.
2. To apply gained knowledge to solve practical problems.[/vc_column_text][vc_custom_heading text=”COURSE LEARNING OUTCOMES (CLO)” use_theme_fonts=”yes”][vc_column_text]CLO:1 Learn solution of non-linear equations.
CLO:2 Understand finite difference.
CLO:3 Be able to do numerical integration.
CLO:4 Solve linear simultaneous equations.
CLO:5 Recognize complex variables.[/vc_column_text][vc_custom_heading text=”COURSE CONTENTS” use_theme_fonts=”yes”][vc_custom_heading text=”Solution Of Non-Linear Equations” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]
- Bisection method
- Newton’s method
- Secant method
- Method of false position
- Method of successive approximation
[/vc_column_text][vc_custom_heading text=”Finite Differences” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]
- Finite differences
- Difference operators and tables
- Differences of polynomials
- Newton’s and Gauss interpolating techniques for equally spaced data
- Simple theorems on divided differences
- Newton’s formula for unequal intervals
- Lagrange’s formula of interpolation
- Numerical differentiation
[/vc_column_text][vc_custom_heading text=”Numerical Integration” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]
- Review of integration concept and their physical significance for Engineering
- Trapezoidal and Simpson’s rule numerical integration techniques
[/vc_column_text][vc_custom_heading text=”Solution Of Linear Simultaneous Equations” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]
- Jacobi’s method, Gauss-Seidal method
- Sparse matrices, Solution of differential equation
- Euler and modified Euler methods
- Runge-Kutta method
[/vc_column_text][vc_custom_heading text=”Complex Variables” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]
- Limit, continuity, zeros and poles
- Cauchy-Reimann Equations
- Conformal transformation
- Contour integration
[/vc_column_text][vc_custom_heading text=”MAPPING OF CLOs TO PROGRAM LEARNING OUTCOMES” use_theme_fonts=”yes”][vc_column_text]
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CLO’s |
CLO-1 (Learn non-linear equation) |
CLO-2 (Understand Finite Differences) |
CLO-3 (Able to do Numerical Integration) |
CLO-4 (Solving Linear Simultaneous Equations) |
CLO-5 (Recognizing Complex Variables) |
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PLO’s |
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PLO-1 (Engineering Knowledge) |
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PLO-2 (Problem Analysis) |
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PLO-3 (Design/Development of Solutions) |
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PLO-4 (Investigation) |
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PLO-5 (Modern Tool Usage) |
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PLO-6 (The Engineer and Society) |
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PLO-7 (Environment and Sustainability) |
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PLO-8 (Ethics) |
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PLO-9 (Individual and Team work) |
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PLO-10 (Communication) |
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PLO-11 (Project Management) |
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PLO-12 (Lifelong Learning) |
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[/vc_column_text][vc_custom_heading text=”MAPPING OF CLOs TO ASSESSMENT MODULES” use_theme_fonts=”yes”][vc_column_text css=”.vc_custom_1669887224949{margin-bottom: 0px !important;}”]
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CLOs |
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CLO:2 |
CLO:3 |
CLO:4 |
CLO:5 |
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Assessment Modules |
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Assignments (20-25%) |
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Quizzes (15-20%) |
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Midterm Exam (20%) |
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Final Exam (40-45%) |
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