MAT210 Workshop July 8 & 9
In this workshop we will work on the solution to the shortest path problem assigned a few weeks ago. The purpose of the assignment was to demonstrate: That there are…
MAT210 Lesson 25-27: Solving ODEs
Three lessons on numerical solutions to ODEs are here: Euler: Lecture Slide for viewing (direct download here) Runge-Kutta: Lecture Slides for viewing (direct download here) Finite Difference: Lecture Slide for…
MAT210 Lesson 21&22: Integration
Lecture slides for numerical integration may be found at the links below Introduction: Trapezoid and Simpson's 1/3 Rules Romberg Integration using Richardon's Extrapolation These are based on the Integration sections…
MAT210 Lesson 19 & 20: Regression
From Kaw: What is regression analysis? "Regression analysis gives information on the relationship between a response (dependent) variable and one or more (predictor) independent variables to the extent that information…
MAT210 Test #1 Answers & Interpolation Problem
It was clear on questions #1 and #6 that most of the class crammed, memorizing answers and not even reading the questions thoroughly. For a soft copy of the answers…
MAT210 Lesson 18: Splines I
For some functions, a single polynomial is not a good fit, especially if there are different shapes in different regions. An alternative approach is to use piecewise polynomial interpolation ,…
MAT210 Lesson 17: Lagrangian Interpolation
Along with the two other single polynomial interpolation method, Direct and Newton's Divided Difference, there is a 3rd way, which is based on a weighted average of the function values…
MAT210 Lesson 16: Newton’s Divided Difference
An alternative way to find a polynomial approximation of a function is something of a mix of using the Taylor Series and numerical differentiation. Newton's Divided Difference method results in…
MAT210 Lesson 15: Direct Interpolation
In Numerical Analysis, our interest is not just interpolation of values, but interpolation of functions. Interpolation of functions means approximating a complex or unknown function with a simpler function, which…