3/16/2009

  • Functional Approximation
    • Approximation by polynomials
    • Recall: Linear (tangent-line) approximation
    • A more complicated (but better?) approximation: P3(x)
    • Generalizing

§       Polynomials centered at 0

§       Polynomials centered at some other point, x0

    • Conclusions: For any function f, any order n, any center x0

 

Practice Problems: Section 9.1 #7, 9, 15, 21, 23

Reading Assignment: Please read Section 9.2 for Wednesday. 

Remember: Quiz on Wednesday over Section 7.2 and the “Interlude”!