1/08 (Mon) Introduction. Systems of linear equations. (Sec.1.1) |
1/10 (Wed) Elementary row operations. (Sec.1.1) |
1/12 (Fri) Echelon Form and Gaussian-Jordan Elimination.(Sec.1.2). |
1/15 (Mon) NO CLASSES. Martin Luther King Day. |
1/17 (Wed) Consistent Systems of linear Equations. (Sec.1.3). |
1/19 (Fri) Matrix Operations. (Sec.1.5). |
1/22 (Mon) Algebraic Properties of Matrix operations. (Sec.1.6). |
1/24 (Wed) Linear Independence and Nonsingular Matrices. (Sec.1.7). |
1/26 (Fri) Matrix Inverses and Their Properties. (Sec.1.9) |
1/29(Mon) Vectors in Plane and in Space. (Sec.2.1,2.2) |
1/31 (Wed) Review for midterm 1. |
2/02 (Fri) Midterm #1. |
2/05 (Mon) The Dot Product. (Sec.2.3) |
2/07 (Wed) The Cross Product. (Sec.2.3) |
2/09 (Fri) Introduction to Vector Spaces. (Sec.3.1) |
2/12 (Mon) Vector Space Properties of Rn. (Sec.3.2) |
2/14 (Wed) Examples of Subspaces. (Sec.3.3) |
2/16 (Fri) Bases for Subspaces. (Sec.3.4) |
2/19 (Mon) Dimension. (Sec.3.5) |
2/21 (Wed) Vector Spaces. (Sec.5.2). |
2/23 (Fri) Subspaces. (Sec.5.3) |
2/26 (Mon) Linear Independence and Bases. (Sec.5.4) |
2/28 (Wed) Coordinates. (Sec.5.4) |
3/01 (Fri) Orthogonal Bases for Subspaces. (Sec.3.6) |
3/04 (Mon) Inner-Product Spaces, Orthogonal Bases. (Sec.5.6) |
3/06 (Wed) Review for midterm 2. |
3/08 (Fri) Midterm #2. |
3/18 (Mon) Linear Transformations from Rn to Rm. (Sec.3.7) |
3/20 (Wed) Linear Transformations. (Sec.5.7) |
3/22 (Fri) Operations with Linear Transformations. (Sec.5.8) |
3/25 (Mon) Matrix Representations for Linear Transformations. (Sec.5.9) |
3/27 (Wed) Introduction to Determinants. (Sec.6.1, 4.2) |
3/29 (Fri) Cofactor Expansions of Determinants. (Sec.6.2) |
4/01 (Mon) Elementary operations and Determinants. (Sec.4.3) |
4/03 (Wed) Elementary operations and Determinants. (Sec.6.3) |
4/05 (Fri) Cramer's Rule. (Sec.6.4) |
4/08 (Mon) The Eigenvalue Problem for 2x2 Matrices. (Sec.4.1) |
4/10 (Wed) Eigenvalues and Characteristic Polynomial. (Sec.4.4) |
4/12 (Fri) Eigenvalues and Characteristic Polynomial. (Sec.4.4) |
4/15 (Mon) Eigenvectors and Eigenspaces. (Sec.4.5) |
4/17 (Wed) Complex Eigenvalues and Eigenvectors. (Sec.4.6) |
4/19 (Fri) Similarity Transformations and Diagonalization. (Sec.4.7) |
4/22 (Mon) Review for the final. |
4/30 (TUE) FINAL, 12:00 - 1:45 PM |