MTH/CS 364/464 Numerical Analysis (Fall 2016):


Schedule:

Week Class Topic Remarks and Materials

8/29 Introduction. Review of Calculus.
Computer Arithmetic (Ch. 5). §4.1 Bisection
Intro to MATLAB m-file

9/5 §4.2 Taylor's Theorem, §4.3 Newton's Method Monday 9/5 - no class (Labor Day)

9/12 § 4.4 Quasi-Newton methods, § 4.5 Fixed point iteration Homework 1 due 9/12

9/19 § 4.6 Fractals, § 8.2 Polynomial interpolation Homework 2 due 9/21

9/26 § 8.2 Polynomial interpolation,
§ 8.3 The Newton form and divided differences

10/3 § 8.4 The error in polynomial interpolation
Review and Exam I on Friday, 10/7
Homework 3 due 10/5

10/10 § 8.5 Interpolation at Chebyshev points,
§ 8.6 Piecewise polynomial interpolation
No classes 10/13 and 10/14 - Fall Recess

10/17 § 8.6 Piecewise polynomial interpolation (cont.) Homework 4 due 10/21
Download chebfun (MATLAB)

10/24 § 9.1 Numerical Differentiation,
§ 9.2 Richardson Extrapolation

10/31 § 10.1 Newton-Cotes Formulas,
§ 10.2 Formulas based on piecewise interpolation
Homework 5 due 11/7

11/7 § 10.3 Gauss quadrature,
§ 10.4 Clenshaw-Curtis quadrature
Take-home Exam II

11/14 § 10.5 Romberg Integration,
§ 10.6 The Euler-Maclaurin formula

11/21 § 11.1 Existence and Uniqueness of Solutions,
§ 11.2 One-Step Methods
No classes 11/23-25 - Thanksgiving Recess

11/28 § 11.2 One-Step Methods Homework 6 due 12/2

12/5 Students presentations List of topics

12/12 Students presentations Take-home final due 12/17/16, 10am