生物數學
Mathematics for Biology
| 節 | 週二 |
|---|---|
3 10:10–11:00 | 生物數學 YL405（陽明） 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Course introduction Introduction to vectors and matrices Solving linear equations Gaussian elimination 2020/09/15 |
| 第 2 週 | Matrix multiplication Elimination using matrices Inverse matrices 2020/09/22 |
| 第 3 週 | Gauss-Jordan elimination A=LU factorization Transposes and permutations 2020/09/29 |
| 第 4 週 | Vector spaces and subspaces Column space 2020/10/06 |
| 第 5 週 | Nullspace Stoichiometric biochemical model 2020/10/13 |
| 第 6 週 | Complete solution to Ax=b 2020/10/20 |
| 第 7 週 | Independence Basis and Dimension Dimensions of the subspaces 2020/10/27 |
| 第 8 週 | Midterm examOrthogonality Fundamental theorem of linear algebra Projections - Projections onto a line 2020/11/03 |
| 第 9 週 | Orthogonality Fundamental theorem of linear algebra Projections - Projections onto a lineMidterm exam 2020/11/10 |
| 第 10 週 | Projections - Projections onto a subspace Least squares approximations - Fitting a straight line - Fitting a parabola 2020/11/17 |
| 第 11 週 | Orthogonal bases Projection using orthonormal bases The Gram-Schmidt process A=QR factorization 2020/11/24 |
| 第 12 週 | Determinants Computation of determinants - Pivot formula - Big formula 2020/12/01 |
| 第 13 週 | Computation of determinants - Cofactor formula Cramer’s rule 2020/12/08 |
| 第 14 週 | Eigenvalues and eigenvectors Diagonalizing a matrix 2020/12/15 |
| 第 15 週 | Diagonalizable matrices Symmetric matrices 2020/12/22 |
| 第 16 週 | Positive definite matrices 2020/12/29 |
| 第 17 週 | Singular value decomposition (SVD) Application of SVD 2021/01/05 |
| 第 18 週 | Final exam 2021/01/12 |
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