生物數學
Mathematics for Biology
學期
107-1
學分
2
學分
當期課號
B386
永久課號
A1413
開課單位
生物醫學資訊研究所
授課教師
王禹超
校區
陽明
類別
選修
上課時間表
| 節 | 週二 |
|---|---|
3 10:10–11:00 | 生物數學 YL405 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Course introduction Introduction to vectors and matrices Solving linear equations Gaussian eliminationCourse introduction Vectors and linear combinations Linear equations Gaussian elimination |
| 第 2 週 | Matrix multiplication Elimination using matrices Inverse matrices |
| 第 3 週 | Gauss-Jordan elimination A=LU factorization Transposes and permutations |
| 第 4 週 | Vector spaces and subspaces Column space |
| 第 5 週 | Nullspace - Stoichiometric biochemical model |
| 第 6 週 | Complete solution to Ax=b |
| 第 7 週 | Independence Basis and Dimension Dimensions of the subspaces |
| 第 8 週 | Orthogonality Projections - Projections onto a line |
| 第 9 週 | Midterm exam |
| 第 10 週 | Projections - Projections onto a subspace Least squares approximations - Fitting a straight line - Fitting a parabola |
| 第 11 週 | Orthogonal bases Projection using orthonormal bases The Gram-Schmidt process A=QR factorization |
| 第 12 週 | Determinants Computation of determinants - Pivot formula - Big formula - Cofactor formula |
| 第 13 週 | Cramer’s rule Eigenvalues and eigenvectors |
| 第 14 週 | Diagonalizing a matrix Diagonalizable matrices Symmetric matrices |
| 第 15 週 | Positive definite matrices |
| 第 16 週 | Singular value decomposition |
| 第 17 週 | 開國紀念日(放假一天) |
| 第 18 週 | Final exam |