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Course Topics |
Textbook:
Linear Algebra with Applications
(7th edition) by Steven J. Leon
Web Page:
Hema Srinivasan's 4140 Web Page
Grading Policy:
In general, there will be two or three mid-term exams, homework, and
a final exam. A sample distribution of points is given below.
| Mid-term exams (3 at 100 points each) |
300 points |
| Quizzes/Assignments |
100 points |
| Final exam |
200 points |
| Total |
600 points. |
Sections Covered
| 1.1: |
Systems of Linear Equations |
| 1.2: |
Row Echelon Form |
| 1.3: |
Matrix Algebra |
| 1.4: |
Elementary Matrices |
| 1.5: |
Partitioned Matrices (Optional) |
| 2.1: |
The Determinant of a Matrix |
| 2.2: |
Properties of Determinants |
| 2.3: |
Cramer's Rule |
| 3.1: |
Definition and Examples |
| 3.2: |
Subspaces |
| 3.3: |
Linear Independence |
| 3.4: |
Basis and Dimension |
| 3.5: |
Change of Basis |
| 3.6: |
Row Space and Column Space |
| 4.1: |
Definition and Examples |
| 4.2: |
Matrix Representations of Linear Transformations |
| 4.3: |
Similarity |
| 5.1: |
The Scalar Product in Rn |
| 5.2: |
Orthogonal Subspaces |
| 5.3: |
Least Squares Problems (Optional) |
| 5.4: |
Inner Product Spaces |
| 5.5: |
Orthonormal Sets |
| 5.6: |
The Gram-Schmidt Orthogonalization Process |
| 6.1: |
Eigenvalues and Eigenvectors |
| 6.4: |
Hermitian Matrices |
This page was last updated
Wednesday, February 4, 2009
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