Math 251 DX01 Lectures


You can view the videos on YouTube or stream/download using the link labelled "Download"

1.1 Geometry and Algebra of Vectors     NOTES     VIDEO       Download
1.2 Length and Angle     NOTES     VIDEO       Download
1.3 Lines and Planes     NOTES     VIDEO       Download
1.4 Cross Product     NOTES     VIDEO       Download

2.1 Linear Systems     NOTES     VIDEO       Download
2.2 Solving Systems     NOTES     VIDEO       Download
2.3 Span and Linear Independence     NOTES     VIDEO       Download
2.4 Applications of Linear Systems     NOTES     VIDEO       Download

3.1 Matrix Operations     NOTES     VIDEO       Download
3.2 Matrix Algebra     NOTES     VIDEO       Download
3.3 The Inverse of a Matrix     NOTES     VIDEO       Download
3.4 LU Factorization     NOTES     VIDEO       Download
3.5 Subspaces     NOTES     VIDEO       Download
3.6 Linear Transformations     NOTES     VIDEO       Download

4.1 Eigenvalues and Eigenvectors     NOTES     VIDEO       Download
4.2 Determinants     NOTES     VIDEO       Download
4.3 Finding Eigenvalues     NOTES     VIDEO       Download
4.4 Diagonalization     NOTES     VIDEO       Download

5.1 Orthogonality     NOTES     VIDEO       Download
5.2 Orthogonal Complements and Projections     NOTES     VIDEO       Download
5.3 Gram-Schmidt     NOTES     VIDEO       Download
5.4 Orthogonal Diagonalization     NOTES     VIDEO       Download

Complex Numbers     NOTES (Omit p8-9)     VIDEO       Download

7.3 Least-Squares Approximation     NOTES     VIDEO       Download