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週次 |
日期 |
單元主題 |
|
Week 1 |
9/19 |
Course Overview; Systems of Linear Equations; Gaussian and Gauss-Jordan Elimination; Applications: Economics and Management and Engineering (Chap. 1) |
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Week 2 |
9/26 |
Gauss-Jordan Elimination; Operations with Matrices; Properties; Applications (Secs.1.2, 2.1-2.2) |
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Week 3 |
10/03 |
Inverse; Elementary Matrices; Applications;
MATLAB tutorial (Secs.2.3-2.5)
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|
Week 4 |
10/10 |
Holliday (National Day) |
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Week 5 |
10/17 |
Determinants; Evaluation of a Determinant Using Elementary Operations; Applications (Secs.3.1-3.3) |
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Week 6 |
10/24 |
Properties; Introduction to Eigenvalues; Applications (Secs 3.3-3.5) |
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Week 7 |
10/31 |
Vectors; Vector Spaces; Subspaces (Secs.4.1-4.3) |
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Week 8 |
11/07 |
Spanning Sets and Linear Independence; Basis and Dimension; Applications (Secs.4.4-4.5) |
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Week 9 |
11/14 |
Rank of a Matrix and Systems of Linear Equations; Coordinates and Change of Basis; Applications (Secs.4.6-4.7) |
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Week 10 |
11/21 |
Mid-Term Exam (Chaps. 1-4.6) |
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Week 11 |
11/28 |
Coordinates and Change of Basis (Cont.); Length and Dot Product; Inner Product Spaces; Applications (Secs.4.7, 5.1-5.2) |
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Week 12 |
12/05 |
Orthonormal Bases; Mathematical Models and
Least Squares Analysis; Applications and term project discussions (Secs.5.3-5.5)
|
|
Week 13 |
12/12 |
Linear Transformation; The Kernel and Range of a Linear Transformation; Applications (Secs.6.1-6.2) |
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Week 14 |
12/19 |
Matrices for Linear Transformations; Transition Matrices and Similarity; Applications (Secs.6.3-6.4) |
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Week 15 |
12/26 |
Transition Matrices and Similarity; Applications; Eigenvalues and Eigenvectors; Applications (Secs.6.4-7.1) |
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Week 16 |
1/02 |
Diagonalization; Symmetric Matrices and
Orthogonal Diagonalization; Applications (Secs.7.2-7.3)
|
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Week 17 |
1/09 |
Symmetric Matrices and Orthogonal
Diagonalization; Introduction to Matrix Computation and Applications (Secs.7.3-7.4)
|
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Week 18 |
1/16 |
Final Exam |