Integration - Numerical Analysis (Undergraduate Advanced)
CHE 306: Engineering Analysis IIAdvanced engineering mathematics covering numerical and analytical methods of engineering analysis.
Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.
Advanced engineering mathematics covering numerical and analytical methods of engineering analysis. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.
Course Chapters
1. Introduction
Welcome and course outline. Review of elementary integral calculus concepts. Motivation for numerical integration.
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2. Trapezoidal Rule
Definition and use of the trapezoidal rule.
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3. Simpson's Rules
Definition and use of Simpson's 1/3 and 3/8 rules.
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4. Richardson's Extrapolation
Richardson's extrapolation and its general use for accelerating convergence in numerical analysis.
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5. Romberg's Integration
Romberg's integration technique - a combination of trapezoidal rule and Richardson's extrapolation.
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