線性代數

This course is supposed to equip students with basic notions and concepts of linear algebra needed for performing scientific computations. The main objective of the class is to make students familiar with the structure of algebraic objects (vectors, matrices, vector spaces, bases, decompositions) to the level necessary for performing real calculations and solving real problems. This practical approach will be combined with formal mathematical character of exposition.

undergraduate mathematics (preferably)

materials for homework will be published on e3 homepage

The total score is composed of 4 parts: 1. midterm 25% 2. final 25% 3. every class starts with a short quiz, ten best quizzes count for 25% of the final score 4. there will be 6-7 homework problem sheets, which will be solved during the class by randomly selected students; average of the performance at the blackboard counts for 25% of the final score

• Complex numbers
• Vectors
• Matrices
• Vector spaces
• Linear equations
• Linear operators
• Eigenvalues and eigenvectors of linear operators
• Eigenvalue and generalized eigenvalue problem
• Singular value decomposition
• Practical approach to problems in huge vector spaces
• Elements of analytic geometry

for basic concepts: any of numerous textbooks for undergraduate algebra for higher level concepts: 1. D. S. Bernstein "Matrix mathematics", Princeton University Press, second edition, 2009 2. G. H. Golub and C. F. Van Loan "Matrix computations", Johns Hopkins University Press, third edition, 1996 3. J. H. Wilkinson "The algebraic eigenvalue problem", Oxford Science Publications, 1965 (reprinted 2004) for problems: S. Lipschutz "Schaum's Outline of Linear Algebra", McGrawHill, fifth edition, 2012

地點

SB202

時間

Thursday EFG

聯絡方式

by email: hwitek@mail.nctu.edu.tw