Finite Differences - Numerical Analysis (Undergraduate Advanced)
Numerical differentiation (finite difference calculus) and its applications.
2
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 II](https://media.unidrills.com/LearningTracks/nyz7VmyrnU/avatar.JPEG)
[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 calculus concepts, including Taylor's series.
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2. Divided Differences
2. Divided Differences
Definition and use of divided differences.
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3. First Forward and Backward Differences
3. First Forward and Backward Differences
Definition, geometric interpretation and use of the first forward and backward differences of error order h.
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4. Higher Forward and Backward Differences
4. Higher Forward and Backward Differences
Definition and use of second and higher forward and backward differences of error order h.
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5. Higher-Error-Order Forward and Backward Differences
5. Higher-Error-Order Forward and Backward Differences
Definition and use of forward and backward differences of error order h-squared and higher.
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6. Central Differences
6. Central Differences
Definition and use of first and higher central differences of error order h.
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7. Differences and Polynomials
7. Differences and Polynomials
Fitting data at a series of equally-spaced points with a polynomial, using difference expressions.
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