| DATE | TITLE | NOTE |
|---|---|---|
| September 9 | 1. System of Linear Equations 1.1, 1.2 |
Quiz 1 |
| September 16 | 2. Matrices 1.3, 1.4, 1.5 |
Quiz 2, HW1 |
| September 23 | No Class the Autumnal Equinox | |
| September 30 | 3. System of Linear Equations and Matrices 1.6, 1.7 | Quiz 3 |
| October 7 | 4. Determinants 2.1, 2.1 |
Quiz 4 |
| October 14 | 5. Properties of the Determinantal Function 2.3, 2.4 |
Quiz 5 |
| October 21 | 6. Eigenvalues and Eigenvectors 7.1, 7.2, 7.3 (3.1-3.5) |
Quiz 6 |
| October 28 | 7. Diagonalization of a Matrix 7.1, 7.2, 7.3 |
Quiz 7 |
| November 4 | 8. Review Chapters 1, 2, 3, 7 |
HW2 |
| November 11 | 9. Review Review Problems |
No Assignments |
| DATE | TITLE | NOTE |
|---|---|---|
| September 10 or 11 | 1. Introduction 1.1, 1.2 |
No Assignments |
| September 13 | 2. System of Linear Equations 1.1,1.2 |
Quiz 1 |
| September 20 | 3. Matrices and Matrix Operations 1.3, 1.4 | Quiz 2 |
| September 27 | 4. Inverse of Matrices 1.4, 1.5 |
Quiz 3 |
| October 4 | 5. Invertibility of a Matrix and its Applications 1.6, 1.7 |
Quiz 4 |
| October 11 | 6. Determinants and Cofactor Expansion 2.1 |
Quiz 5 |
| October 18 | 7. Evaluation of Determinants 2.2 |
Quiz 6 |
| October 25 | 8. Properties of Determinant Functions 2.3 |
Quiz 7 |
| November 1 | 9. A Combinatorial Approach to Determinant 2.4 |
Quiz 8 |
| November 8 | 10. Review | Old Test |
| DATE | TITLE | NOTE |
|---|---|---|
| September 12 | 連立一次方程式と行列 Systems of Linear Equations and Matrices 1.1, 1.2 |
連立一次方程式の係数行列、拡大係数行列、ガウスの消去法、既約ガウス行列 Systems of Linear Equations, Coefficient Matrices, Augmented Matrices, Elementary Row Operations and Gaussian Elimination, Reduced Row Echelon Form |
| September 19 | 行列の階数と連立一次同次方程式 Ranks of Matrices and Homogeneous Systems of Linear Equations 1.3,1.4 |
行列の階数、解の存在・非存在、同次方程式、基本解 Ranks of Matrices and a criterion on the existence of solutions. Homogeneous Systems of Linear Equations, Fundamental Solutions |
| September 26 | 行列演算 Matrix Operations 1.5 | 行列の演算、和・積、諸法則 Operations of Matrices, Sums and Products, rules of Matrix Arithmetic |
| October 3 | 逆行列 Inverse Matrices 1.6 |
逆行列の求め方、掃き出し方、基本変形の意味 Elementary Matrices and a Method for Finding A-1 |
| October 10 | 連立一次方程式と可逆性 Equivalence of Systems of Linear Equations 1.7 |
変形の同値性 Equivalence and Invertibility of Systems of Equations |
| October 17 | 行列式 Determinants 2.1 |
順列、置換、行列式の定義、３次の行列式 Permutations, Determinant Function, Evaluation of Determinants of Matrices of Size 3 |
| October 24 | 行列式の計算 Evaluation of Determinants 2.2 |
基本変形による計算 Evaluating Determinants by Row Deduction |
| October 31 | 行列式の性質 Properties of the Determinant Function 2.3 |
積の行列式、逆行列 Determinant of a Product of Matrices |
| November 7 | Cramer の公式 Cramer's Rule 2.4 |
余因子行列、逆行列、公式とその応用 Co-factors, Inverse Matrices, Cramer's Rule and its Applications |
| November 14 | 復習 Review |
連立一次方程式まとめ Review of Systems of Linear Equations |
| 月・日 | タイトル | 内容 |
|---|---|---|
| ９月１１日 | 連立一次方程式と行列 1.1, 1.2 | 連立一次方程式の係数行列、拡大係数行列、ガウスの消去法、既約ガウス行列 |
| １８日 | 行列の階数と連立一次同次方程式 1.3,1.4 | 同次方程式、基本解、行列の演算、和・積 |
| ２５日 | 行列演算 1.5 | 諸法則 |
| １０月 ２日 | 逆行列 1.6 | 逆行列の求め方、掃き出し方、基本変形の意味 |
| ９日 | 連立一次方程式と可逆性 1.7 | 変形の同値性 |
| １６日 | 行列式 2.1 | 順列、置換、行列式の定義、３次の行列式 |
| ２３日 | 行列式の計算 2.2 | 基本変形による計算 |
| ３０日 | 行列式の性質 2.3 | 積の行列式、逆行列 |
| １１月 ６日 | Cramer の公式 2.4 | 余因子行列、逆行列、公式とその応用 |
| １３日 | 復習 | 連立一次方程式まとめ |