Solutions of Equations in One Variable - Numerical Analysis
$ 8.58
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.
Course Chapters
1Introduction
Introduction to numerical analysis, solutions of equations in one variable, existence of solution in an interval.
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2Bisection Method (1)
Principle, procedure and worked examples on the bisection method of solution of equations in one variable.
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3Bisection Method (2)
Error evaluation, advantages and disadvantages of the bisection method of solution of equations in one variable.
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4Fixed Point Iteration
Definition, formulation and use of first-order fixed point iteration for the solution of equations in one variable.
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5Fixed Point Convergence
Convergence of first-order fixed point recurrence relations.
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6Accelerated Convergence (1)
Aitken's accelerated convergence scheme for the solution of equations in one variable.
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7Accelerated Convergence (2)
g-factor accelerated convergence scheme for the solution of equations in one variable.
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8Newton-Raphson Iteration
Newton-Raphson iteration as an optimized accelerated convergence scheme for the solution of equations in one variable.
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