The Second Midterm will be held on Thursday, November 20, in class. The test will cover Chapters 4, 5, and 6.
You may bring in one sheet of notes (one paper, 8.5" x 11.5", both
sides) and a basic calculator (non-graphing, without symbolic calculation)
The First Midterm will be held on Thursday, October 9, in class. The test will cover Chapters 1, 2, and 3.
You may bring in one sheet of notes (one paper, 8.5" x 11.5", both
sides) and a basic calculator (non-graphing, without symbolic calculation)
Homework 1 due 9/8: Sect. 1.1. Ex.2, 14; Sect. 1.2. Ex.2, 5(c, d), 6(b, d), 7(b, d), 10(b), 11(b), 14(c), 18.
Homework 2 due 9/15: Sect. 1.3. Ex. 4(a,c), 5(a,g), 7(b,d), 13(a) 14(a), 17(b); Sect. 1.5. Ex. 2 (all), 7(b, d); Sect. 1.6. Ex. 2, 4, 12.
Homework 3 due 9/22: Sect. 1.7. Ex. 1(a,bc), 2(b), 3(a), 5(b); Sect. 2.1. Ex. 2 (b),6, 12, 18; Sect. 2.2. Ex. 2(b,c), 6, Sect. 2.3. Ex. 4(b).
Homework 4 due 9/29: Sect. 3.1. Ex. 3(b), 4(a), 12(a,b,c), 21(all); Sect. 3.2. Ex. 2 (c), 9(c); Sect. 3.3. Ex. 1(d), 4(c), 6(c), 12, 17(c).
Homework 5 due 10/06: Sect. 3.4. Ex. 2(a), 3(b), 4(a), 18(a), 9(a,b,c), 10(a); Sect. 3.5. Ex. 1 (c), 2(c), 4(b), 5(b),6(a), 7(b), 9(a), 10(b), 39(a), 40 (a).
Homework 6 due 10/13: Sect. 4.1. Ex. 3, 4, 5(c), 6(c,e), 9(c), 10(a), 11(a), 14(e), 17(d), 23, 35(a); Sect. 4.2. Ex. 1 (b), 3, 5(a), 6(b), 9(a), 10(a), 12(b).
Homework 7 due 10/20: Sect. 4.3. Ex. 1(a,b,c,d), 2(a), 4, 6(a), 9(a), 10(a), 13(a,b), 14(a), 16(c); Sect. 5.1. Ex. 6 , 10, 13.
Homework 8 due 10/27: Sect. 5.2. Ex. 1(d,e), 2(all), 3(b), 7(b,d), 9(b), 10(a,b), 11(b,d); Sect. 5.3. Ex. 1(all) , 2(all), 4(b,c,d), 5(b), 6(a, b).
Homework 9 due 11/03: Sect. 5.4. Ex. 1(all), 3(b), 4(a), 7(c), 9(b), 10(a), 11, 12, 18(a,c); Sect. 5.5. Ex. 2(b), 3(a) , 5(b), 6(a, b), 8(a,b), 9(a, b), 10(a, b).
Homework 10 due 11/10: Sect. 5.6. Ex. 2(d), 5(all); Sect. 6.1 Ex. 3(b), 4(a), 7(b), 9(d), 10(all), 12(a), 14, 18(a); Sect. 6.2. Ex. 6(a), 8(a), 9(a, b), 14, 15(c), 16, 18(c).
Homework 11 due 11/19: Sect. 6.3. Ex. 3(a,b), 4(a,b), 6(a), 8, 10(a), 11(b), 12(a,b), 17(b), 24(d,e) ; Sect. 6.5. Ex. 8(all), 10(all); Sect. 6.6. 3(d,f), 6(a,b).
Homework 12 due 12/10: Sect. 6.4. 3(b,d), 4(a); Sect. 7.1.3. Ex. 1(d,f), 2(d,f), 3(d,f), 4(a), 5(a), 6(a), 12; Sect. 7.2. Ex. 8, 11, 14, 18.
| Week | Monday | Wednesday | Thursday | Friday |
| 1 | 8/25 1.1. Introduction |
8/27 1.2 Gaussian Elimination |
8/28 1.2 Gaussian Elimination (cont.) |
8/29 Practice Quiz |
| 2 | 9/1 NO CLASS! |
9/3 1.3 Matrices and Matrix Operations |
9/4 1.3, 1.4 Matrix Multiplication (cont.) |
9/5 1.5 Inverse Matrix Quiz |
| 3 | 9/8 1.5 Finding the Inverse of a Matrix |
9/10 1.5, 1.6 Invertible Matrix Theorem |
9/11 1.7 Diagonal, Triangular and Symmetric matrices |
9/12 Chaper 1 Review Quiz |
| 4 | 9/15 2.1-2.3 Determinants |
9/17 2.1(cont.) Applications of Determinants: Finding matrix Inverse |
9/18 2.1(cont.) Applications of Determinants: Cramer's rule | 9/19 2.4 Combinatorial Approach to Determinants Quiz |
| 5 | 9/22 3.1, 3.2 Vectors |
9/24 3.3 Dot Product; Projections |
9/19 3.4 Cross product |
9/26 3.4 (cont.) Quiz |
| 6 | 9/29 3.5 Lines and Planes |
10/1
3.5 (cont.) |
10/2 4.1 Euclidean n-space |
10/3 Introduction to Matlab (lecture1.m) Quiz |
| 7 | 10/6 4.2 Linear Transformations |
10/8 Ch. 1,2,3 Review |
10/9 Midterm I |
10/10 4.2 (cont.) Examples of Linear Transformations |
| 8 | 10/13 4.3 The Standard Matrix of a Linear Transformations |
10/15 Ch. 4 Review |
10/16 5.1 Vector Spaces |
10/17 5.2 Vector Subspaces Quiz |
| 9 | 10/20 5.2 Linear Combinations; Span. |
10/22 5.3 Linear Independence |
10/23 5.4 Basis, Dimensions |
10/24 Basis (cont.) Quiz |
| 10 | 10/27 Review |
10/29 5.5 Fundamental Spaces |
10/30 5.5 (cont.) |
10/31 5.6 Rank and nullity Quiz |
| 11 | 11/3 6.1 Inner product |
11/5 6.2 Angle, Orthogonality |
11/6 6.3 Orthoganal and Orthonormal Bases, |
11/7 6.3 Gram-Schmidt Quiz |
| 12 | 11/10 6.3 Gram-Schmidt QR-factorization |
11/12 6.5 Change of Basis |
11/13 6.6 Orthogonal Matrices |
11/14 Quiz |
| 13 | 11/17 Review |
11/19 Review |
11/20 Midterm 2 |
11/21 Least-square |
| 14 | 12/1 Midterm2 Review |
12/3 Eigenvalues, Eigenvectors |
12/4 Diagonalization |
12/5 Diagonalization (cont.) Quiz |
| 15 | 12/8 Orthogonal diagonalization |
12/10 LU-decomposition |
12/11 Review Quiz |
12/12 Review |