Math 373 - Numerical Analysis - Summer 2013
Instructor: Christopher Sadowski
Email: sadowski at math dot rutgers dot edu
Office: Hill Center 620
Office Hours: Mondays 3-5pm or by appointment
Text: Numerical Analysis, Ninth Edition, by Richard L. Burden and J. Douglas Faires
Grading:
All students enrolled in Rutgers courses are expected to be familiar with and abide by the academic integrity policy (http://academicintegrity.rutgers.edu/policy-on-academic-integrity).
Violations of this policy are taken very seriously.
-20% Homework
-20% Midterm 1: July 24, 2013; Formula Sheet
-20% Midterm 2: August 7, 2013; Formula Sheet
-40% Final Exam: August 14, 2013
Homework: There will be weekly homework assigned. Some assignments will involve Maple programming. Students may access Maple at any of the computer labs on campus. Rutgers provides its multivariable calculus students with an introduction to Maple, which can be found here: http://www.math.rutgers.edu/courses/251/maple_new/maple0.html
Homework 1, due 7/17/2013 ( Please note the change to problem 3) Solution sketches
Homework 2, due 7/24/2013 Solution sketches
Homework 3, due 7/31/2013 (typos fixed 7/28/13) Plot for (1a); Plot for (1b); Solution sketches
(Note: 1b should have a -12t^2 in place of the -48t^2 in the solutions).
Homework 4, due 8/7/2013 Solution sketches
Homework 5 has no due date, but is good practice for the Chapter 5 material.
Syllabus (subject to change as the course progresses):
Week 1:
July 8, 2013
What is Numerical Analysis?
Section 1.1 Review of Calculus.
July 9, 2013
Section 2.1 The Bisection Method: code discussed in class can be found here.
Some comments on programming in Maple.
July 10, 2013
Section 2.2 Fixed Point Iteration.
July 11, 2013
Section 2.3 Newton's Method and its Extensions.
Week 2:
July 15, 2013
Section 2.4 Error Analysis for Iterative Methods
Section 3.1 Interpolation and the Lagrange Polynomial
July 16, 2013
Section 3.1 Interpolation and the Lagrange Polynomial
Section 3.3 Divided Differences
July 17, 2013
Section 3.4 Hermite Interpolation
July 18, 2013
Section 3.5 Cubic Spline Interpolation
Week 3:
July 22, 2013
Section 3.6 Bezier Curves; An applet for playing around with Bezier curves may be found here.
July 23, 2013
Section 4.1 Numerical Differentiation
July 24, 2013
Midterm 1
July 25, 2013
Section 4.3 Elements of Numerical Integration
Week 4:
July 29, 2013
Section 4.4 Composite Numerical Integration
Section 4.2 Richardson Extrapolation
July 30, 2013
Section 4.2 Richardson Extrapolation
Section 4.5 Romberg Integration
July 31, 2013
Section 4.6 Adaptive Quadrature
August 1, 2013
Section 4.7 Gaussian Quadrature
Week 5:
August 5, 2013
Section 5.1 Theory of Initial Value Problems
Section 5.2 Euler's Method
August 6, 2013
Section 5.3 Taylor Methods
August 7, 2013
Midterm 2
August 8, 2013
Section 5.4 Runge-Kutta Methods
Week 6:
August 12, 2013
Section 5.6 Multistep Methods; Notes from class were based on the notes found here.
August 13, 2013
Section 5.10 Convergence of Multistep methods
August 14, 2013
Final Exam