| Term |
Date |
Instructor |
Topic(s) |
Text Sections |
Solutions |
| F15 |
09/14/15 |
Wong |
systems of linear equations, row reduction and echelon forms |
1.1, 1.2 |
yes |
| F15 |
09/21/15 |
Wong |
vector equations, matrix equations, solution sets of linear systems |
1.3, 1.4, 1.5 |
yes |
| F15 |
09/28/15 |
Wong |
linear independence, linear transformations and their matrices |
1.7, 1.8, 1.9 |
yes |
| F15 |
10/05/15 |
Wong |
matrix operations, inverse of a matrix, invertible matrices |
2.1, 2.2, 2.3 |
yes |
| F15 |
10/16/15 |
Wong |
determinants and their properties |
3.1, 3.2 |
yes |
| F15 |
10/30/15 |
Wong |
vector spaces, null spaces, column spaces, bases |
4.1, 4.2, 4.3 |
yes |
| F15 |
11/04/15 |
Wong |
dimension, rank, change of basis |
4.5, 4.6, 4.7 |
yes |
| F15 |
11/11/15 |
Wong |
eigenvalues, eigenvectors, characteristic equation, diagonalization |
5.1, 5.2, 5.3 |
yes |
| F15 |
12/04/15 |
Wong |
orthogonality, orthogonal sets, orthogonal projections |
6.1, 6.2, 6.3 |
yes |
| F15 |
12/11/15 |
Wong |
Gram-Schmidt process, diagonalization of symmetric matrices |
6.4, 7.1 |
yes |
| W15 |
01/23/15 |
Ross |
(Quiz 1, version 1) systems of equations, matrix representation, reduced row echelon form, vector equations, linear combination, span of a set of vectors |
1.1, 1.2, 1.3 |
yes |
| W15 |
01/23/15 |
Ross |
(Quiz 1, version 2) systems of equations, matrix representation, reduced row echelon form, vector equations, linear combination, span of a set of vectors |
1.1, 1.2, 1.3 |
yes |
| W15 |
01/30/15 |
Ross |
(Quiz 2, version 1) conditions for consistency, solutions of matrix equations in parametric vector form |
1.4, 1.5 |
yes |
| W15 |
01/30/15 |
Ross |
(Quiz 2, version 2) conditions for consistency, solutions of matrix equations in parametric vector form |
1.4, 1.5 |
yes |
| W15 |
02/13/15 |
Ross |
(Quiz 3) linear transformations |
1.8, 1.9 |
yes |
| W15 |
02/27/15 |
Ross |
(Quiz 4) matrix algebra: multiplication, inverse, transpose |
2.1, 2.2 |
yes |
| W15 |
03/06/15 |
Ross |
(Quiz 5) abstract vector spaces and subspaces |
4.1 |
yes |
| W15 |
03/20/15 |
Ross |
(Quiz 6) change of basis matrix, eigenvectors, eigenvalues |
4.7, 5.1 |
yes |
| W15 |
03/27/15 |
Ross |
(Quiz 7) eigenvectors, eigenvalues, eigenspaces, characteristic polynomials |
5.1, 5.2 |
yes |
| W15 |
04/03/15 |
Ross |
(Quiz 8) diagonalization, inner (dot) product |
5.3, 6.1 |
yes |
| W14 |
01/13/14 |
Ross |
(Quiz 1) using the RREF of a matrix to solve a system of linear equations |
1.1, 1.2 |
yes |
| W14 |
01/24/14 |
Ross |
(Quiz 2) vector equation, linear combination, span of a set of vectors |
1.3 |
yes |
| W14 |
02/07/14 |
Ross |
(Quiz 3) linear independence of column vectors, definition of linear transformation |
1.7, 1.8 |
yes |
| W14 |
02/14/14 |
Ross |
(Quiz 4) matrix multiplication, inverse of a 2×2 matrix, one-to-one and onto linear transformations |
1.9, 2.1, 2.2 |
yes |
| W14 |
02/28/14 |
Ross |
(Quiz 5) abstract vector spaces and subspaces, linear independence and linear combinations in such spaces |
4.1, 4.3 |
yes |
| W14 |
03/21/14 |
Ross |
(Quiz 6) change of basis, determinants by cofactors, eigenvalues, eigenvectors, characteristic polynomials |
3.1, 4.7, 5.1, 5.2 |
yes |
| W14 |
03/28/14 |
Ross |
(Quiz 7) diagonalization, dot (inner) products, unit vectors, perpendicular vectors, distance between vectors |
5.3, 6.1 |
yes |
| F13 |
09/13/13 |
Buell |
reduced row echelon form, span of vectors |
1.1, 1.2, 1.3 |
yes |
| F13 |
09/20/13 |
Buell |
solutions to Ax=b in parametric vector form, solution sets to linear systems, linear independence |
1.4, 1.5, 1.7 |
yes |
| F13 |
09/27/13 |
Buell |
linear tranformations, the matrix of a linear transformation, definitions |
1.8, 1.9 |
yes |
| F13 |
10/04/13 |
Buell |
matrix multiplication, inverse of a matrix |
2.1, 2.2 |
yes |
| F13 |
10/25/13 |
Buell |
vector space, subspace, null space, column space, basis |
4.1, 4.2, 4.3 |
yes |
| F13 |
11/01/13 |
Buell |
coordinate systems, dimension |
4.4, 4.5 |
yes |
| F13 |
11/08/13 |
Buell |
determinants, rank |
3.1, 4.6 |
yes |
| F13 |
11/15/13 |
Buell |
eigenvectors, eigenvalues, characteristic equation, diagonalization |
5.1, 5.2, 5.3 |
yes |
| F13 |
11/22/13 |
Buell |
inner product, length, orthogonality |
6.1, 6.2 |
yes |
| W13 |
01/11/13 |
Wong |
systems of linear equations, row reduction and echelon forms |
1.1, 1.2 |
yes |
| W13 |
01/18/13 |
Wong |
vector equations, matrix equations |
1.3, 1.4 |
yes |
| W13 |
01/25/13 |
Wong |
solution sets to linear systems, linear independence |
1.5, 1.7 |
yes |
| W13 |
02/01/13 |
Wong |
linear transformations, matrix of a linear transformation |
1.8, 1.9 |
yes |
| W13 |
02/13/13 |
Wong |
determinants and their properties |
3.1, 3.2 |
yes |
| W13 |
02/27/13 |
Wong |
vector spaces, linear transformations |
4.1, 4.2 |
yes |
| W13 |
03/06/13 |
Wong |
coordinate vectors, bases |
4.3, 4.4 |
yes |
| W13 |
03/13/13 |
Wong |
eigenvalues, eigenvectors, eigenspace |
5.1 |
yes |
| W13 |
03/27/13 |
Wong |
orthogonal sets, projection, length |
6.1, 6.2 |
yes |
| W13 |
04/03/13 |
Wong |
Gram-Schmidt process, QR decomposition |
6.3, 6.4 |
yes |
| F12 |
09/14/12 |
Ross |
(Quiz 1) using RREF of an augmented matrix to solve a system of equations, span of a set of column vectors |
1.1, 1.2, 1.3, 1.4 |
yes |
| F12 |
09/26/12 |
Ross |
(Quiz 2) solutions to Ax=b in parametric vector form, equilibrium model application from economics |
1.5, 1.6 |
yes |
| F12 |
09/28/12 |
Ross |
(Quiz 3) relationships among vectors in linearly dependent sets |
1.7 |
yes |
| F12 |
10/12/12 |
Ross |
(Quiz 4) matrix multiplication |
2.1 |
yes |
| F12 |
10/26/12 |
Ross |
(Quiz 5) Leontief Input-Output model, finding a basis for the column space of a matrix |
2.6, 2.8 |
yes |
| F12 |
11/02/12 |
Ross |
(Quiz 6) determinants |
3.1, 3.2 |
yes |