Past Lecture Notes : 1997 Fall

Additional lecture notes will be posted in this homepage in order to provide more information on the subjects covered in the class, but they may not be clearly explained in the textbook of this course. You can read notes by using Adobe Acrobat 3.0 Reader. If you do not have this software, please down load this.

Couese notes were originally prepared in 1997 Fall, but I am planning to edit these in this term, while other additional notes will be prepared with many examples and exercise problems. Please check these, too.

• Lecture Note #1 : Computational Linear Algebra (1) : 9/18/97, Revised on 9/19/97. Now I put a MATLAB example of symbolics for PC Version 5.0 Student Edition. You will notice script commands are significantly different from Version 4.
• Additional Note #1 : Linear Space and Subspace : 9/21/97. This additional note should provide additional material for Homework #1 in which linear subspaces of a linear space are asked.
• Lecture Note #2 : Computational Linear Algebra (2) : 9/22/97, Revised on 9/23/97 to add examples of curve fitting method. This is a second lecture note on computational linear algebra, especially for Singular Value Decomposition and Generalized Inverse of a Rectangular Matrix. This note may be helpful to finish up Homework #1.
• Lecture Note #3 : Computational Linear Algebra (3) : 9/24/97. This explains determinant, eigenvalues and eigenvectors with their application in vibration of a rod, QR/QL algorithms with Housholder Transformation, Inverse Iteration Methods, and also Singular Value Decomposition.
• MATLAB Example #4 : Curve Fitting and Newton's Method : 10/7/97. This is a MATLAB .m file in the text format so that you can use directly in your exercise.
• Additional Note #2 : Householder Transformation and Tridiagonalization : 10/7/97. For solving Homework #2, this note should be helpful.
• Lecture Note #4 : Orthogonal Polynomials and Approximation Theory : 11/03/97. This note describes inner product, Lagarange interpolation, Hermite interpolation, Bzier pline and B-spline to approximate curves and surfaces in the three-dimensional space, Quadrature, and Orthogonal polynomials.
• Lecture Note #5 : Variational Calculus and Minimum Principle : 11/13/97. This is for Variational Calculus, Minimum Principle, Constrained Minimization, Variational Inequality, and Finite Difference Approximation.
• Lecture Note #6 : Function Approximations and the Ritz Method : 11/13/97. This note explains the least squares approximation of a function by polynomials and trigonometric functions, i.e., Fourier series, and also explains the Ritz method to solve the minimization problem of a functional derived in mechanics.
• MATHEMATICA Note #1 : Introduction to MATHEMATICA : 11/13/97. This is a note for introduction to MATHEMATICA that I prepared for MEAM 305, 311, and 501 few years ago. I suppose this is still fine to make quick exercise by using MATHEMATICA for symbolic manipulation. For function approximation and the Ritz method, MATHEMATICA is very useful. Similar can be performed by MAPLE too.

Past Homework & Solution : 1997 Fall

These can be used as examples and exercises for the course of 1998 Fall Term. In order to solve the homework problems assigned in this term, these should be very useful.

• Solution of the Midterm Examination : Solutions by Kikuchi Posted on 11/17/97

• Solution of the Final Examination : Solutions by Kikuchi Posted on 12/18/97