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)

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