Linear Algebra, Fall 2002.

A undergraduate course in Mathematics at the Department of Mathematics, National Tsing Hua University.

Instructor: Professor Wei-Cheng Wang,

Meeting: General III Building, room 101, TF 1:10-2:25 PM

Grading: 40% Homework + quiz, 20% midterm1, 20% midterm2 and 20% final exam (Tentative).

Textbook and References: Textbook: Steven J. Leon: Linear Algebra with applications.

Course description, lecture notes (draft) and homework assignments:

Part I : Matrices and Systems of Equations.

Part II : Determinants.

Part III : Vector Spaces.

Part IV : Linear Transformations.

Part V : Orthogonality and Inner Product Spaces.

Part VI : Eigenvalus and Eigenvectors.

Part VII : Matlab, Octave or Rlab if time permits.

A Short version of typed lecture notes:

Thanks to Professor 洪朝貴 (朝陽科技大學資訊管理系) for providing an excellent lecture note (in Chinese).

Matlab, Octave and Rlab Information:

Matlab is a conveneint tool for matrix computations. Matlab is also an excellent environment for experimentation in scientific computing. It is not the most efficient environment for large-scale simulations, although with some effort, Matlab can be used in conjunction with C and Fortran routines. Matlab is a product of The Mathworks. For a tutorial, see A Free Matlab Online Tutorial or Another Tutorial or Matlab Primer.
You can start from our class note on matlab before reading these materials. Octave and Rlab are free (source code open) softwares also good for matrix computations. Octave is designed to be compatible with matlab. Matlab users should have no problem using Octave. Rlab, on the other hand, is meant not to be a clone of matlab. For more information on Octave and Rlab, visit here.

Attention:

We will not give exams on how to use the softwares above. However, I'll be happy to provide an extra course on how to use them if I get enough responses. I can also arrange some course projects to replace quiz and midterms. If you are interested in either the extra course or the projects, send me an email.

Postscript viewer:

To view the Postscript files (our lecture notes above) on your PC screen or to print it out on a printer, you need to install the GSview from here. If you are running MS Windows, Professor William Ferng at Chiao-Tung University has setup an installation guide here.

Final Exam: Solution and grading detail.

The Grade: Here.