Math 309 Fall 2001

Final Grades

1870 B+
9178 B+
8594 B
6836 A
3092 B-
???? F
8957 B
2902 B+
0431 B-
0856 B-
7142 B-
???? A-
8327 A

Index

1. Page Update History
2. Section Information
3. Grading Information
4. Text
5. Lesson Schedule
6. Technology Supplements
7. Homework

1. Page Update History

6 December	Lesson schedule replaced with suggested review problems.
29 October	Homework 4 posted. Section 7.
02 October	Exam 1 solutions posted. Exam 1 with Solutions.
23 September	Homework 2 has been posted See Section 7. A new worksheet has been posted. See Section 6 Exercises for 2.3, 2.4 posted.
05 September	Homework 1 has been posted See Section 7.
29 August	Link to Row reduction worksheet corrected. Two new worksheets have been posted. All worksheets should be available in all releases of Maple.See Section 6.
28 August	Room change noted. Row reduction worksheet posted. See Section 6.
23 August	Page first posted.

2. Section Information

There are two sections for Math309. They are given independently. This is the only one given by the math department.

Section	Time	Location	Instructor	email	Office Hours
1	MWF 10-11	M Cupples I 218 WF Eads 215	B. Blank	brian@math.wustl.edu	Tu & F 12:00 - 1:00

The two class exams scores, E1 and E2, and the final exam, E3, (each out of 100) and the homework, HW, will be combined in the following way to obtain a point total out of 100:

In the formula, N denotes the number of graded homework assignments.

S := (80-2*N)*(E1 + E2 + 2*E3 - min(Ei: i=1..3))/300 + 10*E3/100 + (10+2*N)*HW/(N*100);

The score S out of 100 will be translated into a letter grade of A, B, C, D, F (with plus and minus shadings) in a way that is not stricter than the following table:

Numerical Range	Letter Grade
[80,100]	A
[65,80)	B
[50-65)	C
[40-50)	D
[0,40)	F

It is not likely that "curving" will be applied. There is not much point in asking about this. That is because nothing will be decided until after the final exam. However, it is prudent to assume that there will be no curving.

Neither calculators nor "cheat sheets" will be permitted on the exams.

4. Text

Linear Algebra with Applications, Second Edition, Otto Brettscher, Prentice Hall.

5. Lesson Schedule

The following lesson plan is somewhat tentative (except for the scheduled examinations). Do not print this schedule and assume that it will be in force throughout the semester. It is recommended that you check the current version periodically. The "suggested problems" are just that - suggested drill to ensure that you are following the basic concepts and procedures. They are not to be turned in. Do more or less according to your need for practice.

Topic	Section	Suggested Problems
Gauss-Jordan Elimination	1.1	9
Reduced row echelon form	1.2	18
Inverses	2.3	5,13
Kernels	3.1	5,7
Independence	3.2	17,19
Bases	3.2,3.3	3.2:33 3.3:21,23
Coordinates	3.4	3,7
Change of basis	3.4	13, 17, 29
Vector Spaces	4.1	1,3,5,21,23,25,29
Linear Transformations	4.2	9,15,25
Coordinates	4.3	5,7,13,57
5.1	Orthogonal Projections	27,29
Gram-Schmidt	5.2	7,11,13
QR Factorization	5.2	19,21
Orthogonal Transformations	5.3	13,21
Determinants	6.2	1,5
Eigenvalues	7.2	5,9,11
Eigenvectors	7.3	5,7,9,11
Diagonalization	7.4	3,5,7,11
Complex Eigenvectors	7.5	23
Orthogonal Diagonalization	8.1	3,5,9,11
Definiteness of Quadratic Forms	8.2	3,5,7
Exam	Period VI	December 11, 8:00-10:00AM

6. Technology Supplements

You may make and retain electronic copies of the resources that are made available provided you do not modify them. In particular you may not remove the authorship section.

Please do not make hard copies of these documents. They are intended to be viewed in a monitor. There is no good reason for wasting resources by printing them.

Maple uses the name "worksheet" to refer to a generic Maple document. There is no work for you to do in any of the posted worksheets. In particular, the worksheets in the following table are not homework assignments!Using Netscape for Windows, right click on an icon. Choose "Save Link as". Make sure to include the mws extention in the filename. Maple worksheets are platform independent so do not worry if you think differently. If you do a regular click on an icon then you will bring up an ASCII file that your browser can display but not decode. To view these worksheets as intended, please use either Maple or the MapleV Release 4 Demo. Newer releases of Maple will open the R4 worksheets, prompting you for an update.

Section	MapleV R4	MapleV R5	Maple 6	Maple 7
Row Reduction
Selected Exercises from Brettscher
Leontief Economic Model
Elementary Matrices and Inverses
Matrix Rank
Coordinates and Change of Basis
Inner Product Spaces

7. Homework

Before beginning your first homework assignment, you are cautioned to read the statement of academic integrity that, with the following exception, will be in force.

Exception: Violations will be referred to the Academic Integrity Committee of the School of Arts and Sciences, not the Discipline Committee of the School of Engineering and Applied Science.

Homework that is to be turned in is to be downloaded from this page. The homework will be assigned in the form of Maple worksheets. Maple is a computer algebra system that is installed in the Arts and Sciences computer lab (which is open on a walk-in basis to students of all academic divisions). Maple is also installed in the CEC (engineering) lab which is restricted to engineering students. Last year CEC declined to install the GUI version. The command line version is less useful for homework.

The current version of Maple is Maple 7. Depending on what version is available in the labs here I may post worksheets created with other releases. This should not cause any problems. For the most part each release can read files made by other releases. If you intend to use a lab copy of Maple and if you have your own computer, then you probably should download a free demo of Release 4:

MapleV Release 4 Demo

This demo does not have all Maple commands, nor does it allow you to print or save any work. It will therefore not be useful for doing the homework. What it will do is act as a Maple reader allowing you to read the prepared worksheets.

Homework Assignment	Posted	Due
Assignment 1	05 September	14 September
Assignment 2	23 September	3 October
Assignment 3	10 October	19 October
Assignment 4	29 October	7 November

Homework Solutions	MapleV R4	MapleV R5	Maple 6	Maple 7
Assignment 1


Brian E. Blank

Department of Mathematics

Washington University in St. Louis

                             1 Brookings Drive

                             St. Louis, MO  63130

 

                             Phone: (314) - 935 - 6763

                             Fax:   (314) - 935 - 6839 

 

                             e-mail: brian@math.wustl.edu

Last Updated: 18 December 2001