MATH 4721/6721 Spring 2025
Numerical Analysis Dwiggins
Monday Wednesday Friday
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1		 Jan 20 Jan 22 Jan 24
M. L. King, Jr. Day Chapter One Sections 2.1-2
(No Classes Scheduled) Numerical
Error Analysis		 Finding Roots of
Nonlinear Equations
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2		 Jan 27 Jan 29 - Assign HW # 1 Jan 31
Sections 2.3-4 Sections 2.5-6 Sections 2.7-8
Numerical Methods
of Iteration		 Newton's
Method		 Other Methods
of Iteration
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3		 Feb 3 Feb 5 Feb 7
Sections 2.9-11 Sections 3.1-2 Sections 3.3-4
Other
Topics		 Interpolation
Theory		 Finite Difference
Tables
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4		 Feb 10 - Assign HW # 2 Feb 12 Feb 14
Sections 3.5-6 Section 3.7 Section 3.8
Error
Analysis		 Spline
Theory		 Cubic
Splines
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5		 Feb 17 Feb 19 Feb 21
Review for Test # 1 Test # 1 Section 4.1
Chapters 2 and 3 Functional Approximation:
from Taylor to Weierstrass
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6		 Feb 24 Feb 26 Feb 28
Sections 4.2-3 Sections 4.3-4 Sections 4.4-6
Inner Product
Spaces		 Orthogonal
Polynomials		 Least Squares
Regression
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7		 Mar 3 - Assign HW # 3 Mar 5 Mar 7
Sections 5.1-2 Sections 5.2-3 Section 5.4
Numerical
Integration		 Gaussian
Quadrature		 Error
Analysis
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8		 Mar 10 Mar 12 Mar 14
Spring Break Spring Break Spring Break
(No Classes Scheduled) (No Classes Scheduled) (No Classes Scheduled)
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9		 Mar 17 Mar 19 Mar 21
Sections 5.1-2 Sections 5.2-3 Sections 6.1-3
Numerical
Integration		 Gaussian
Quadrature		 Euler's Method for Approximating
Solutions to Differential Equations
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10		 Mar 24 - Assign HW # 4, Part I Mar 26 Mar 28
Section 6.10 Sections 6.4-5 Sections 7.1-2
Runge-Kutta
Methods		 Other
Methods		 A Review of
Linear Algebra
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11		 Mar 31 - Assign HW # 4, Part II Apr 2 Apr 4
Section 7.3 Section 7.4 Review for Test # 2
Norms and
Linear Spaces		 Convergence
and Perturbation
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12		 Apr 7 Apr 9 Apr 11
Test # 2 Sections 8.1-2 Sections 8.3-4
Chapters 4, 5, 6 Gaussian
Elimination		 Error
Analysis
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13		 Apr 14 - Assign HW # 5 Apr 16 Apr 18
Section 8.4 Section 8.5 Section 8.6
The Condition Number
for a Matrix		 Residual
Methods		 Other Matrix
Iteration Methods
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14		 Apr 21 Apr 23 Apr 25
Sections 8.7-9 Chapter Nine Review Test # 1
Other
Topics		 Numerical
Eigenvalues
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15		 Apr 28 Apr 30 May 2
Review Test # 2 Review Chapters 7, 8 Final Exam
10:30 - 12:30