Teaching / Course archive
Math 20F: Winter 2007
Linear algebra
Course Record
Overview
UCSD linear algebra course on systems of linear equations, matrix algebra, vector spaces, bases, dimension, determinants, eigenvalues, eigenvectors, orthogonality, and applications.
The course included MATLAB computer lab assignments.
Schedule and Topics
Topic List
- Linear systems, echelon forms, vector equations, and matrix equations
- Linear transformations, matrix operations, inverses, and LU factorization
- Vector spaces, subspaces, null spaces, column spaces, bases, dimension, and rank
- Determinants, Cramer's rule, volume, and linear transformations
- Eigenvectors, eigenvalues, diagonalization, inner products, and orthogonality
- Least-squares problems and symmetric matrices
Books and Related Pages
Books
- David C. Lay, Linear Algebra and Its Applications, updated third edition. Pearson/Addison Wesley, 2006.
Assignments and Projects
Assignments and Exams
- Weekly homework and MATLAB lab assignments.
- Two midterm exams and a cumulative final exam.
Archive Note
Expired syllabus, calendar, slide, and exam links from the earlier UCSD course site are not carried forward.