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Numerical Methods in MATLAB for Engineering Students Part 2
Highest Rated
Rating: 4.5 out of 5(26 ratings)
529 students
Last updated 7/2019
English

What you'll learn

  • Least Squares Regression
  • Polynomial Regression
  • Lagrange Interpolating Polynomials
  • Linear, Quadratic and Cubic Splines
  • Curve Fitting
  • Interpolation

Course content

1 section23 lectures5h 27m total length
  • Welcome! Get started here2:06
  • Least Squares Regression24:41
  • Example with MATLAB10:50
  • Polynomial Regression18:02
  • Example21:36
  • Example with MATLAB12:39
  • Lagrange Interpolating Polynomials6:08
  • Example21:28
  • Example10:49
  • Lagrange Interpolating Polynomial Algorithm with MATLAB8:45

    Implement the Lagrange interpolating polynomial algorithm in Matlab using data points and an interpolation point, then verify results with examples 10 and 11.

  • Newtons Divided Differences21:17
  • Example17:45
  • Divided Differences Algorithm & MATLAB Example8:03
  • Linear Splines10:15

    Explore linear splines for interpolation by connecting data points with first-order polynomials, using three intervals between four points, and implementing a simple interval-based algorithm to compute the interpolated value.

  • Example with MATLAB7:39
  • Quadratic Splines15:28
  • Example with MATLAB28:48

    Learn how to apply quadratic spline interpolation to connect data points, enforce endpoint and interior knot conditions, and solve for spline coefficients in MATLAB to estimate height at three seconds.

  • Cubic Splines16:31

    Explore cubic splines, where data points connect with third-order polynomials across n-1 intervals, ensuring smooth first and second derivative continuity and using natural spline end conditions.

  • Example with MATLAB15:24
  • Cubic Spline with Lagrange Polynomials16:45
  • Example15:22
  • Cubic Spline Algorithm with MATLAB10:01
  • Cubic Spline Built In MATLAB Function6:42

Requirements

  • Be familiar with topics from Calculus
  • MATLAB fundamentals like logicals and for loops will be needed

Description

Interpolation and curve fitting techniques are widely-used by scientists and engineers.  Why? Well, experiments generate data and it's necessary to find a way to model this data mathematically.  Curve fitting helps us do that!

This course covers interpolation and curve fitting techniques typically found in an undergraduate-level Numerical Methods course.

MATLAB will be used to implement the methods on the computer.

What we'll cover:

  • Least squares regression

  • Polynomial regression

  • Lagrange interpolating polynomials

  • Newton's divided differences

  • Linear splines

  • Quadratic splines

  • Cubic splines

  • MATLAB implementation of the methods

What comes with the course:

  • Downloadable outline of notes (.pdf file) to help you follow along with the lectures and keep you engaged

  • 14 downloadable MATLAB .m files of all codes used in the course

  • Easy to follow lecture videos

After this course you'll be able to generate your own curve fits for experimental data as well as know how to properly interpolate to get the best estimates.

If you're taking a Numerical Methods course at a University, I've got you covered!  We'll work through examples by hand as well as using MATLAB.  This way you'll be prepared if you get an exam problem you have to complete by hand.

If you're looking for a way to improve your coding skills this is a great course for that too!  We'll cover lots of algorithms that'll use different coding concepts like if-elseif  statements and for loops. So, if you want more practice with programming in MATLAB this course will definitely give you that experience.

Who this course is for:

  • Engineers and engineering students who need to know how to do interpolation and curve fit experimental data