Integration - Numerical Analysis (Undergraduate Advanced)
Numerical integration techniques and their applications.
Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
[OAU, Ife] 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.
[OAU, Ife] CHE 306: Engineering Analysis II
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
1. Introduction
Welcome and course outline. Review of elementary integral calculus concepts. Motivation for numerical integration.
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2. Trapezoidal Rule
2. Trapezoidal Rule
Definition and use of the trapezoidal rule.
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3. Simpson's Rules
3. Simpson's Rules
Definition and use of Simpson's 1/3 and 3/8 rules.
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4. Richardson's Extrapolation
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
5. Romberg's Integration
Romberg's integration technique - a combination of trapezoidal rule and Richardson's extrapolation.
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