Calculus on Demand at Dartmouth College Index | Lecture 2
Lecture 1


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Contents

In this lecture we introduce the unifying topic of the first five lectures, namely, Modeling Discrete Data with an elementary function. In particular, we discuss curve fitting by the Method of Least Squares. The material of lectures 1-5 serves as the major underpinning for our study of calculus.


Quick Question

Here is the graph of a polynomial of degree 3. Shouldn't it cross the x-axis 3 times?


Answer

Textbook

Modeling Discrete Data

Today's Homework

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Quiz

Modeling Discrete Data Quiz

Examples

  • Click to see the exampleUse the Method of Least Squares to determine which line best fits a given set of points
  • Click to see the exampleUse the Method of Least Squares to determine which line best fits a given set of points
  • Click to see the exampleIf given points lie on a curve of the form y = ax2 + c, find the values of a and c

Applets

  • Click to see the appletFalling Object
  • Click to see the appletLeast Squares Fitting
  • Click to see the appletCalculator: Values of Elementary Functions

Videos

  • click to see the videoFind the sum of squared errors with 4 points and a line
  • click to see the video Find the parabola passing through (1, 1) (5, 1) and (3, 3).

Index | Lecture 2