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

  • Overview:
    This course is an introduction to numerical algorithms as tools to providing solutions to common problems formulated in mathematics, science, and engineering. Focus is given to developing the basic understanding of the construction of numerical algorithms, their applicability, and their limitations. Topics include numerical techniques for solving equations, polynomial interpolation, numerical integration and differentiation, numerical solution of ordinary differential equations, error analysis and applications. Here is the course syllabus.

  • Instructor: Dr. Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.

  • Class meetings: MWF 2:00-2:50am, room SLC 403.

  • Office Hours: SLC 410, MWF 10:00-10:50am and TTh 1:00-1:50pm or by appointment.

  • Textbook: Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms by Anne Greebaum and Timothy Chartier, Princeton University Press, 2012.

  • Our programming language is MATLAB. You should be able to use it in labs 409 and 431.
    Some MATLAB resources:


    • 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