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

## Resources

Math 3 Course Syllabus
Practice Exams

# 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?

### Textbook

Modeling Discrete Data

### Quiz

Modeling Discrete Data Quiz

### Examples

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

### Applets

• Falling Object
• Least Squares Fitting
• Calculator: Values of Elementary Functions

### Videos

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