APMA 507 / MATH 430 - Spring 2005 - Tentative course outline

All section numbers refer to R. L. Burden and J. D. Faires "Numerical Analysis", 8th edition.

Thursday January 20 Sections 1.1 Review of Calculus

Tuesday January 25 Sections 1.2 & 1.3 Round-off errors and computer Arithmetic & Algorithms and Convergence

Thursday January 27 Sections 1.3 & 2.1 Algorithms and Convergence & The Bisection Method

Tuesday February 1 Sections 2.2 & 2.3 Fixed Point Iteration & Newton's Method

Thursday February 3 Sections 2.3 & 2.4 Newton's Method & Error Analysis for Iterative Methods

Tuesday February 8 Sections 2.4 & 2.5 Error Analysis for Iterative Methods & Accelerating Convergence

Thursday February 10 Section 2.6 Zeros of Polynomials and Muller's Method

Tuesday February 15 Section 3.1 Interpolation and the Lagrange Polynomial

Thursday February 17 Section 3.1 Interpolation and the Lagrange Polynomial

Tuesday February 22 - PRELIM I

Tuesday, February 22nd, Prelim I (2:00 - 3:15 p.m.)

Thursday February 24 Sections 3.2 Divided Differences

Tuesday March 1 Section 3.3 Hermite Interpolation

Thursday March 3 Section 3.4 Cubic Spline Interpolation

Tuesday March 8 - Spring Break

Thursday March 10 - Spring Break

Tuesday March 15 Section 4.1 Numerical Differentiation

Thursday March 17 Sections 4.2 Richardson's Extrapolation

Tuesday March 22 Section 4.3 & 4.4 Elements of Numerical Integration & Composite Numerical Integration

Thursday March 24 Sections 4.5 & 4.6 Romberg Integration & Adaptive Quadrature Methods

Tuesday March 29 Section 4.7 Gaussian Quadrature

Thursday March 31 - PRELIM II

Thursday, March 31, Prelim II (2:00 - 3:15 p.m.)

Tuesday April 5 Sections 5.1 & 5.2 The Elementary Theory of Initial-Value Problems & Euler's Method

Thursday April 7 Sections 5.3 Higher Order Taylor Methods

Tuesday April 12 Section 5.4 Runge-Kutta Methods

Thursday April 14 Section 5.5 Error Control and the RKF Method

Tuesday April 19 Section 5.6 Multisteps Methods

Thursday April 21 Section 5.10 Stability

Tuesday April 26 - PRELIM III

Tuesday, April 26, Prelim III (2:00 - 3:15 p.m.)

Thursday April 28 Section 6.3 Numerical Analysis - What for?

Tuesday May 3 - Review

Thursday January 20	Sections 1.1	Review of Calculus
Tuesday January 25	Sections 1.2 & 1.3	Round-off errors and computer Arithmetic & Algorithms and Convergence
Thursday January 27	Sections 1.3 & 2.1	Algorithms and Convergence & The Bisection Method
Tuesday February 1	Sections 2.2 & 2.3	Fixed Point Iteration & Newton's Method
Thursday February 3	Sections 2.3 & 2.4	Newton's Method & Error Analysis for Iterative Methods
Tuesday February 8	Sections 2.4 & 2.5	Error Analysis for Iterative Methods & Accelerating Convergence
Thursday February 10	Section 2.6	Zeros of Polynomials and Muller's Method
Tuesday February 15	Section 3.1	Interpolation and the Lagrange Polynomial
Thursday February 17	Section 3.1	Interpolation and the Lagrange Polynomial
Tuesday February 22	-	PRELIM I

Thursday February 24	Sections 3.2	Divided Differences
Tuesday March 1	Section 3.3	Hermite Interpolation
Thursday March 3	Section 3.4	Cubic Spline Interpolation
Tuesday March 8	-	Spring Break
Thursday March 10	-	Spring Break
Tuesday March 15	Section 4.1	Numerical Differentiation
Thursday March 17	Sections 4.2	Richardson's Extrapolation
Tuesday March 22	Section 4.3 & 4.4	Elements of Numerical Integration & Composite Numerical Integration
Thursday March 24	Sections 4.5 & 4.6	Romberg Integration & Adaptive Quadrature Methods
Tuesday March 29	Section 4.7	Gaussian Quadrature
Thursday March 31	-	PRELIM II

Tuesday April 5	Sections 5.1 & 5.2	The Elementary Theory of Initial-Value Problems & Euler's Method
Thursday April 7	Sections 5.3	Higher Order Taylor Methods
Tuesday April 12	Section 5.4	Runge-Kutta Methods
Thursday April 14	Section 5.5	Error Control and the RKF Method
Tuesday April 19	Section 5.6	Multisteps Methods
Thursday April 21	Section 5.10	Stability
Tuesday April 26	-	PRELIM III

Thursday April 28	Section 6.3	Numerical Analysis - What for?
Tuesday May 3	-	Review