Week 
Class Dates 
Book Sections 
Topics 
Homework 
Important Dates, Solutions 
1 
Aug 18, 20 
1.1, 1.2 
Systems of linear equations. GaussJordan reduction.
Application 1: traffic flow. 
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 
Aug 25, 27 
1.3, 1.4 
Matrix algebra.
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 1 (over 1.1, 1.2) on Aug 25

3 
Sep 1, 3 
1.5, 2.1 
Elementary matrices. Inverses. Determinant.
Application 3: encoding messages. Matlab. 
section 1.5: #1,2,10(a,f),12(a,d),15;
section 2.1: #1,2,3(a,d,f,g),4,5;
if need more practice on A^(1), do 1.5.10(g,h) as well

Quiz 2 (over 1.3, 1.4) on Sep 1 Drop with no grade: Sep 4

4 
Sep 8, 10 
2.2, 2.3, 3.1 
Properties and applications of determinants. R^{2}, R^{3}, general vector spaces.
Application 4: pharmaceutics. Matlab. 
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 1 (over 1.5, 2.1) due Sep 8

5 
Sep 15, 17 
3.1, 3.2 
Vector spaces and subspaces. Spanning sets.
Application 5: VecMobile. 
section 3.1: #3;
section 3.2: #1,2,3(a,d),4(d),10(a,b),11,12(a,c),16
Practice Test 1 (office hour on 09/21, 23:30 pm)

HW 2 (2.2, 2.3) due Sep 15

6 
Sep 22, 24 
3.3 
Linear independence. Spanning again. 
section 3.3: #1,2(a,c),4(a,c),8(a,c),9(a),12

HW 3 (3.1, 3.2) due Sep 22, Exam 1 (1.1  3.2) [solutions are at UNM Learn] on Sep 22

7 
Sep 29, Oct 1 
3.4, 3.5 
Basis and dimension. Change of basis.
Application 6: population migration. 
section 3.4: #3,4,5,7,8(a),10,14; section 3.5: #1(a),2(a),3,4,5(i),6,7,8 
HW 4 (3.3), Quiz 3 (3.2, 3.3) on Sep 29 
8 
Oct 6 
3.6 
Row, column, and null spaces. 
section 3.6: #1(a,b),2(b,c),3,4(b,e),5(b,e),6,8,9,16 

9 
Oct 13, 15 
3.6, 4.1, 4.2 
Linear transformations.
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) 
HW 5, Quiz 4 (3.4, 3.5, 3.6) on Oct 13 
10 
Oct 20, 22 
4.3, 5.1 
Matrix representations of transformations in different bases. Scalar product. 
section 4.3: #1(a,b,e),2,4; section 5.1: #1(a,b),2(a,b),3(a,c),4,7
Practice Test 2 (office hour on 10/26, 1011:30 am) 
HW 6 (4.1, 4.2) due Oct 20

11 
Oct 27, 29 
5.2 
Orthogonal subspaces and orthogonal complements. 
section 5.2: #1(d),2,3(b),4,9 
HW 7 (4.3, 5.1) due Oct 27,
Exam 2 (3.3  4.3) [solutions are at UNM Learn] on Oct 27

12 
Nov 3, 5 
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 
HW 8 (5.2),
Quiz 5 (5.1, 5.2) on Nov 3 Withdrawal deadline: Nov 6

13 
Nov 10, 12 
5.5, 5.6 
Orthonormal sets. GramSchmidt 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 9, Quiz 6 (5.3, 5.4) on Nov 10

14 
Nov 17, 19 
6.1, 6.2, 6.3 
Eigenvalues, eigenvectors. Diagonalization.
Applications 11: migration model, diff. equations. 
section 6.1: #1(a,c,d,e,g,j),2; section 6.2: #1(c),2(a,b),3;
section 6.3: #1(a,c,d),2(a,c,d),7 
HW 10, Quiz 7 (5.5, 5.6) on Nov 17 
15 
Nov 24 
6.3 
Diagonalization. Markov process.
Application 12: mathematical prediction. 

16 
Dec 1, 3 
Review.
Application 13: Google page ranking. 
Practice Test 3 
Practice Test 3 solutions 

17 
Final Exam Dec 8 (Tuesday)
later section 4: 10 am  12
earlier section 2: 12:30  2:30 pm
