Week |
Class Dates |
Book Sections |
Topics |
Homework |
Due Dates |
1 |
Jan 20, 22 |
1.1, 1.2 |
Systems of linear equations. Gauss-Jordan reduction. |
section 1.1: #1(a,b,d),2(a,c),3(a,b,d),4(a,b,c),5(a,b,c), 6(a,c,f),7,8;
section 1.2: #1,2,3,5(a,c,e,f,h),6(a,d),8,11,12 |
|
2 |
Jan 25, 27, 29 |
1.2, 1.3, 1.4 |
Matrix algebra.
Application 1: traffic flow.
Application 2: expenses calculation. |
section 1.3: #1,2,3,4,5(a,c),8,9,10,15;
section 1.4: #1(a),6,7,12,28,30(a)
|
Quiz & HW over 1.1, 1.2: Jan 29
|
3 |
Feb 1, 3, 5 |
1.5, 2.1, 2.2 |
Matrix inverse. Determinant and its properties.
|
section 1.5: #1,2,10(a,f,g,h),12(a,d),15;
section 2.1: #1,2,3(a,d,f,g),4,5;
|
Quiz & HW over 1.3, 1.4, 1.5,
Drop with no grade: Feb 5 |
4 |
Feb 8, 10, 12 |
2.2, 2.3 |
Applications of determinants. Review. Matlab.
Applications 3, 4: encoding messages; pharmaceutics. |
section 2.2: #1,2,3(a,c,e,f),4,5,7(c,d),9,12(a);
section 2.3: #1(a,c),2(a,c,d),3,5(a,b) |
HW over 2.1, 2.2, 2.3,
Exam over 1.1-2.3: Feb 12
|
5 |
Feb 15, 17, 19 |
3.1, 3.2 |
Vector spaces and subspaces. Spanning sets.
|
section 3.1: #3;
section 3.2: #1,2,3(a,d),4(d),10(a,b),11,12(a,c),16
|
|
6 |
Feb 22, 24, 26 |
3.2, 3.3, 3.4 |
Linear independence. Basis and dimension.
Application 5: VecMobile. |
section 3.3: #1,2(a,c),4(a,c),8(a,c),9(a),12
section 3.4: #3,4,5,7,8(a),10,14;
|
Quiz & HW over 3.1, 3.2: Feb 26
|
7 |
F 29, Mar 2, 4 |
3.4, 3.5, 3.6 |
Change of basis. Basis of a span.
Application 6: mathematical prediction. |
section 3.5: #1(a),2(a),3,4,5(b(i)),6,7,8;
section 3.6: #1(a,b),2(b,c),3,4(b,e),5(b,e),6,8,9,16
|
Quiz & HW over 3.3, 3.4: Mar 4 |
8 |
Mar 7, 9, 11 |
3.6 |
Row, column, and null spaces. Review. |
HW over 3.5, 3.6,
Exam over 3.1-3.6: Mar 11 |
|
10 |
Mar 21, 23, 25 |
4.1, 4.2, 4.3 |
Linear transformations and their matrix representations.
Application 7: computer graphics and animation. |
section 4.1: #1,4,5,6,8,9,17;
section 4.2: #1,2,3,4(b),5(b,c),18(a,b)
section 4.3: #1(a,b,e),2,4; |
|
11 |
M 28, 30, A 1 |
5.1, 5.2 |
Scalar product. Orthogonal subspaces and orthogonal complements. |
section 5.1: #1(a,b),2(a,b),3(a,c),4,7
section 5.2: #1(d),2,3(b),4,9
|
Quiz & HW over 4.1, 4.2, 4.3: Apr 1
|
12 |
Apr 4, 6, 8 |
5.2, 5.3, 5.4 |
Least squares problems. Inner product spaces.
Application 8: curves of best fit. Matlab. |
section 5.3: #1(a,c),3(a),4(a),5,6;
section 5.4: #1,2(b,c),7(a,c),8(b,c);
Application 9: MATLAB HW
|
Quiz & HW over 5.1, 5.2: Apr 8
|
13 |
Apr 11, 13, 15 |
5.5, 5.6 |
Orthonormal sets. Gram-Schmidt orthogonalization.
Application 10: signal processing. |
section 5.5: #1,2,3,6(a,b),8,30,32;
section 5.6: #1(a),3,4,7
|
HW over 5.3, 5.4,
Withdrawal deadline: Apr. 15
|
14 |
Apr 18, 20, 22 |
6.1 |
Review. Eigenvalues, eigenvectors.
|
section 6.1: #1(a,c,d,e,g,j),2;
|
HW over 5.5, 5.6,
Exam over 4.1-5.6: Apr 22
|
15 |
Apr 25, 27, 29 |
6.2, 6.3 |
Diagonalization. Markov process. Review.
Applications 11, 12, 13: diff. equations, migration model, Google page ranking.
|
section 6.3: #1(a,c,d),2(a,c,d),7 section 6.2: #1(c),2(a,b),3; |
HW over 6.1, 6.2, 6.3: Apr 29 |
16 |
May 2, 4, 6 |
Review.
|
Cumulative Final Exam: May 6
|