Finals Lecture Notes

For your finals lecture notes, you can download lectures from this site: http://numericalmethods.eng.usf.edu
That is where the resources in our class lectures were taken from.

Those items colored in red are the ones discussed/used in class, the rest can be utilized as supplemental notes.

Here is a listing of the topics:

• Regression -
  

  BACKGROUND
  	A primer on statistical terminology for regression analysis [PDF] [DOC] Introduction to regression [PDF] [DOC] Test your knowledge on background of regression analysis [HTML] [PDF] [DOC]
  PHYSICAL PROBLEM
  	Infrared spectroscopy [PDF] [DOC]
  NUMERICAL METHOD
  	LINEAR REGRESSION MODEL
  		How does Linear Regression work? [PDF] [DOC] A Power point presentation on Linear Regression [PDF] [PPT] Simulation of Linear Regression [PDF] [MFILE] Test your knowledge of Linear Regression [HTML] [PDF] [DOC]
  	NONLINEAR REGRESSION MODELS
  		How does Nonlinear Regression work? [PDF] [DOC] A Power point presentation on Nonlinear regression [PDF] [PPT] Simulation of Nonlinear Regression without Data Linearization [PDF] [MFILE] Simulation of Nonlinear Regression with Data Linearization [PDF] [MFILE] Simulation of Polynomial Regression [PDF] [MFILE] Test your knowledge of Nonlinear Regression [HTML] [PDF] [DOC]
  ANECDOTES
  	Comparing nonlinear regression models - with and without data linearization [PDF] [MFILE] On adequacy of regression models [PDF] [DOC] [PDF] [MFILE] Multivariate least squares fitting [PDF] [DOC]

  
  
• Interpolation -
  

  BACKGROUND
  	What is Interpolation? [PDF] [DOC] History of Interpolation [PDF] [DOC] Test your knowledge on background of interpolation [HTML] [PDF] [DOC]
  PHYSICAL PROBLEM
  	A physical problem of finding how much time it would take water to boil in a kettle. It requires interpolating specific heat of saturated water vs. temperature data. [PDF] [DOC]
  NUMERICAL METHOD
  	DIRECT METHOD
  		How does the direct method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
  	NEWTON DIVIDED DIFFERENCE METHOD
  		How does the Newton's divided difference polynomial method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
  	LAGRANGE METHOD
  		How does the Lagrange method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
  	SPLINE METHOD (not part of the coverage)
  		How does the spline method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
  ANECDOTES
  	The lurking dangers of extrapolation! [PDF] [DOC] [MFILE] [PDF] Why is higher order interpolation is a bad idea? [PDF] [DOC] [MFILE] [PDF] Comparison of spline and polynomial interpolation. [PDF] [DOC] [MFILE] [PDF] How choice of points of interpolation affects approximations! [PDF] [DOC] [MFILE] [PDF] How splines can help in developing a shorter path for a robot! [PDF] [DOC] [MFILE] [PDF] Runge [HTML] [PDF] [DOC] Newton [HTML] [PDF] [DOC] Lagrange [HTML] [PDF] [DOC]

  
  
• Differentiation -

  [Chapra] Chapter 4 - Numerical Differentiation part only - download

          [Chapra] Chapter 23 - Numerical Differentiation, excludes Richardson - download 

• Integration -

  [Chapra] Chapter 21 - Study Trapezoidal, Simpson's Rule and Romberg Integration - download

If you would like to select specific examples related to your field of study (chemical, mechanical, electronics, electrical, computer, etc...) you may opt to use this link: http://numericalmethods.eng.usf.edu/resource.html and from here, using the drop down select, choose the Mathematical Procedure (could be regression, interpolation...), the Math package (you may use matlab) and lastly, your engineering major then press the Go button.