lect116_14rev_f11

# lect116_14rev_f11 - Friday October 7 Lecture 14 Newtons...

This preview shows pages 1–2. Sign up to view the full content.

Friday, October 7 Lecture 14 : Newton’s iterative procedure. (Refers to section 4.1 in your text) Students who have mastered the content of this lecture know about : Newton’s iterative formula for approximating roots of simple functions. Students who have practiced the techniques presented in this lecture will be able to : Use Newton’s iterative formula for approximating roots of simple functions by estimating a root at first and then construct a sequence of numbers which converges to a root, use a spreadsheet to construct such sequences. 14.1 Newton’s iterative procedure for finding roots Let f : R R be a continuous function. We sketch the curve of y = f ( x ). At first glance we can approximate a zero (root) x * of y = f ( x ) by roughly examining where the curve of y = f ( x ) intersects the x -axis. Say our first approximation of the zero x * is denoted by x 1 and we attempt to improve on this approximation. -

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

lect116_14rev_f11 - Friday October 7 Lecture 14 Newtons...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online