- REU Talk
- Stephanie Allen re identifying social groups in economic need
- Wednesday April 6th, 3:30 pm
- South 328
- Snacks
- Usual extra credit for write-ups
- Exam 2
- Friday (April 8)
- Material since 1st hour exam (e.g., if, while, for, function handles, Newton, Riemann sums & trapezoid rule, etc.)
- Rules and format similar to 1st exam, especially open references, open computer
- Sample exam on our “Exercises” page
- Idea: return handle to anonymous function that takes x as its argument and
computes the difference quotient.
function [ fPrime ] = derivative( f ) %DERIVATIVE Generates a new function that approximates the derivative of f h = 1e-10; fPrime = @(x) ( f(x+h) - f(x-h) ) / (2*h); end - Using this typically involves saving the result of
derivativeand then calling it later with x>> f = @(x) x^2 f = @(x)x^2 >> fPrime = derivative( f ) fPrime = @(x)(f(x+h)-f(x-h))/(2*h) >> fPrime( 5 ) ans = 10.0000 >> fPrime( -2 ) ans = -4.0000 >> g = derivative( @sin ) g = @(x)(f(x+h)-f(x-h))/(2*h) >> g( 0 ) ans = 1
- Demonstration: the kind of plot I expect from step 2
- Hint re plotting rectangles and trapezoids
- Consider plotting each rectangle or trapezoid as you evaluate its area in loop
- Second lab day for integration lab
- No reading