Media Summary: THIS INTRODUCTION MODULE IS OUT OF DATE This is the course overview for Induction as a means to prove proposed formulas and some useful formulas that count the number of computations before they ... Introduction to Numeric Systems and Computation.
Oit Math 451 Session 0 - Detailed Analysis & Overview
THIS INTRODUCTION MODULE IS OUT OF DATE This is the course overview for Induction as a means to prove proposed formulas and some useful formulas that count the number of computations before they ... Introduction to Numeric Systems and Computation. Understanding the nature of our modern definition of numbers. Numeric representations on moder computers. Computational methods for matrices; understanding matrix singularity and rank.
Moving among binary, octal, decimal and hexadecimal number systems in preparation for developing the floating point real ... Improving the "Method of Exhaustion" by substituting rectangles with trapezoids. Reducing the computations needed through the use of linked lists. We will also learn to calculate the cost of algorithms by ... Improving the first order method by making use of multiple stages and locations for calculating the derivative. Speed of Convergence for the Bisection Method. Improvements to the Bisection Method resulting in the False Position and ... Developing the Newton-Raphson Method to find a root of a single non-linear equation.
Analysis of the Newton-Raphson Algorithm with respect to multiple roots and issues when the function is flat near the root of ... Applying Richardson's method to the trapezoidal rule to obtain Romberg Integration. Adapting the Newton-Raphson to case where the function being evaluated is available only in table form.
