1

Aug 18, 20

1.1, 1.2

Systems of linear equations. Gauss-Jordan 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)

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. R², R³, 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, 2-3:30 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, 10-11:30 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

13

Nov 10, 12

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 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