M340L Matrices and Matrix Calculations

Unique number: 52990
Course number: M340L
Prerequisite: One semester of calculus with a grade of at least C or consent of instructor. M311 and 340L may not both be counted. Math majors should take M311. .

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Meeting time and location

Days: MWF
Time: 9:00-9:50
Place: RLM 4.102

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Instructor

Name: Isabel K. Darcy
Office: RLM 9.160
Office hours: Tu 9 - 11, F 11 - 12 or by appointment
Phone: 471-1172
E-mail: darcy@math.utexas.edu

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Teaching Assistant

Name: Hee Chul Pak
Office: RLM 11.104
Office hours: MW 3 - 5

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Required textbook

Linear Algebra and Its Applications, 2nd ed., by David C. Lay

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Class Schedule

Aug 27:  1.1, started 1.2
    29:  1.2
Sept 1:  Holiday
     3:  1.3, start 1.4
     5:  1.4, 1.5
     8:  1.5, 1.6
    10:  1.7
    12:  1.8, 1.9
    15:  2.1
    17:  2.2
    19:  Review, 2.2
    22:  2.3, 2.4
    24:  2.4, 2.5
    26:  Review
    29:  Midterm #1
Oct  1:  2.8
     3:  2.9

Tentative Schedule 
(Note dates - including midterm dates - are subject to change).
Oct  6:  2.9
     8:  3.1, 3.2
    10:  3.2, 3.3?
    13:  4.1
    15:  4.2
    17:  4.3
    20:  4.4 & Practice Test
    22:  4.5
    24:  4.6
    27:  4.6
    29:  Review
    31:  Midterm #2  
Nov  3:  5.1  
     5:  5.2
     7:  5.3
    10:  6.1
    12:  6.2
    14:  6.3
    17:  6.4
    19:  6.5, 6.6
    21:  Review
    24:  Midterm #3  
    26:  7.1
    28:  Holiday
Dec  1:  7.2
     3:  Review
     5:  Review

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Homework assignments



Each section is worth 20 pts.  Usually 2 problems per section will be
graded each worth 5 pts.  The remaining 10 pts are determined by how
complete your HW is.  Sometimes the entire 20 pts will be based on
completeness.

 1.1:  5, 13-35 odd, 34                            due Fri, Sept 5
 1.2:  5, 7, 11, 15-29 odd, 24, 35                     Fri, Sept 5
 1.3:  1, 3, 7 - 13 odd, 21 - 31 odd, 32, omit 27c     Wed, Sept 10
 1.4:  1, 7, 13, 15, 17, 19, 25 - 37 odd, 30, 38                 10
 1.5:  7, 11, 13, 19 - 23 all, 25, 27 - 33 all         Wed, Sept 17
 1.6:  13 - 29 odd, 28, 37, 38, 39                               17
 1.7:  11, 13, 19, 21, 23 - 26 all, (27 or 28), 30, 31, 34       17
 1.8:  1, 3, 7, 21, 23, 24, 25, 27, 31, 32, 35                   17
 1.9:  1, 9                                              Wed, Oct 1
 2.1:  3, 7, 11 -23 odd, 16, 24, 26                               1
 2.2:  5, 9, 10, 13, 17 - 23 odd, 22, 24, 27, 28                  1
 2.3:  3, 13, 14, 16 - 23 all, 31, 36                             1
 2.4:  3, 9, 11 - 13 all, 17, 22                                  1
 2.5:  3, 5, 7, 15                                                1


 2.8:  1, 2, 3                                           Wed, Oct 8
 2.9:  1, 7, 9, 15, 19, 20, 21, 23, 27, 33, 35, 37, 38, 43        8         
 3.1:  1, 19 - 29 odd, 37, 39, 40                       Wed, Oct 15
 3.2:  5, 11, 15 - 19 odd, 20, 25, 27, 28, 34, 35, 36, 39        15
 3.3:  19, 23					        Wed, Oct 22
 4.1:  1, 4, 5, 6, 8, 11, 13, 15, 17, 21, 22, 23, 24, 32         22
 4.2:  5, 7, 15, 17, 20, 21, 23, 25 - 28 all, 30, 31, 33         22
 4.3:  1, 2, 5, 7, 11, 14, 21 - 25 all, 26, 30                   22
 4.4:  1, 5, 9, 11, 13, 15, 16, 21, 27, 35              Wed, Nov  5
 4.5:  3, 5, 7, 15, 17, 19, 20, 21 - 29 odd, 30                   5
 4.6:  3 - 27 odd, 16, 18                                         5

 5.1:  1, 3, 13, 17, 19, 21 - 24 all, 33, 34            Wed, Nov 12
 5.2:  1, 9, 17, 19, 21 - 25 all                                 12
 5.3:  3, 5, 7, 9, 18, 21, 22, 23, 25, 26                        12
 6.1:  5, 11, 13, 17, 19, 20, 27, 29, 30, 31         Wed, Nov 19 or 26
 6.2:  9 - 15 odd, 19, 23 - 27 all, 31, 32                    19 or 26
 6.3:  1 - 15 odd, 18 - 22 all, 24                            19 or 26
 6.4:  1, 9, 13, 15, 17, 18, 19                         Wed, Nov 26
 6.5:  5, 7, 9, 17a-d, 18a-c, 25                                 26
 6.6:  1, 3                                                      26

Suggested Homework (Ch 7 HW is only (strongly) suggested, but will not be
collected.)

 7.1:  1, 3, 7, 12, 13, 21, 24, 25, 26, 33
 7.2:  1, 3, 5, 21a,b, 23a

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Homework Answers

Chapter 1 & 2 answers

Chapter 3 & 4 answers

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Computer projects

Project 2: Extra Credit, Due Wednesday Nov 26

	Choose up to 5 of the problems listed below.  Each problem is
worth 10 extra credit points.  Turn in only 5 for a maximum of 50 extra
credit pts.

	1.9: 2, 6
	2.8: 22
	4.7: 18
	4.8: 23, 24
	4.9: 22
	5.4: 32
	5.5: 28
	6.6: 12

Project 1: due Wednesday Oct 29




Answers to Project 1.





This project is worth 120 pts.  Each of the 9 problems listed below in
part 3 will be worth 12 pts each.  The remaining 12 pts will be based on
readability.  That is, will the grader be able to tell easily what your
answer is. 


The computer room is in RLM 8.136.  For frequently asked qustions such as
how to change your password ("passwd")  see URL:

http://www.ma.utexas.edu/restricted-resources/faq.html.

0.)  Change your password.

1.) Learn how to use maple or matlab.


Click here for introductions to using maple and matlab.

2.)  Do Project #4 in M340L/master.bk (you do not need to 
                           turn in a copy of this project).


Click here for instructions on how to find Project #4.

3.)  Turn in (use either maple or matlab):
        2.9 #45, 46.
        4.1 #33  (see helpful maple commands below)
        4.2 #38, 39
	4.3 #17   (note this problem recently added)
        4.4 #34
	4.5 #33, 34


Show all work (i.e. print out computer commands and results).  Clearly
indicate problem number and answer.  You may write your answers by hand
when appropriate or for maple, use insert text found under edit.  You may
also wish to use Delete Cursor Region or Insert Separator Line  found
under edit.  The Save and print commands are located under file.


Helpful maple commands:  

To solve an equation you can do any of the following:

1.)  follow the commands found in Project #1--use solve if GEsolve
doesn't work

2.) Reduce the augmented matrix A to its reduced echelon form using the
maple command:  gaussjord(A); 

3.) Reduce the augmented matrix A to an echelon form using the maple
command:  rref(A); 

4.)  Solve Ax = b using the maple command:  linsolve(A, b); 
You can enter b as a vector using the maple command:  
b:=vector([b_1, ..., b_n]);

You can multiply matrices or a matrix by a vector with the command:
multiply(A, v);

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Exams

Exam 1: Date: Sept 29 covering Ch 1, 2.1 - 2.5,

Hints for studying for the exam:

1.)  Test yourself on the supplementary exercises.  For example,
     p.95: 1,5, 7, 8, 12, 13 and p. 177:  1, 3, 8, 12, 13, 15, 16
     Note these are only suggested problems and are not required.



Exam 2--Date: Friday, Oct 31 
	LOCATION:  WEL 2.224
          covering 2.8, 2.9, Ch 3, 4.1 - 4.6

Hints for studying for the 2nd exam:

1.)  Test yourself on the supplementary exercises.  For example, 
     p206: 1 (skip the letter l), 2 - 6 all, 9 - 11 all and 
     p.292: 1a-1o (skip p and q) 2, 4 - 8 all.


Exam 3--Date:  Nov 24 
          covering 5.1 - 5.3, 6.1 - 6.6
        Location: Hogg Memorial Auditorium.

Note: Hogg Memorial Auditorium is located just east of the Texas Union
(east of Guadalupe) and  south of 24th street, just north of the Peter
T. Flawn Academic Center. 
       Hogg Memorial Auditorium is Not the Will C. Hogg Building.


Formulas which will be provided on the 3rd exam:
  
  Inverse of 2 x 2 matrix

  (transpose of A)(b - A(hat x)) = 0

  (transpose of Q)A = (transpose of Q)(QR) = IR = R

See M340L folder on reserve in PMA library if above unclear.


The portions of 6.5 and 6.6 which will be covered on the 3rd exam:

  6.5: Thm 13, examples 1 and 2.
  6.6: example 1.


Hints for studying for the 3rd exam:

1.)  Test yourself on the supplementary exercises.  For example,
     p364: 1(a - p), 13, 14
     p439: 1, 10

Final exam: Thursday Dec 11, 9 - 12 noon, location GAR 1. The final exam will be cumulative (covering the above and sections 7.1, 7.2).


Bring your student ID.

I will not provide any formulas for the final exam.  However, you may
bring a 3 X 5 card upon which you may write anything you want on both
sides of the card.


Extra Office Hours

Dr. Darcy (RLM 9.160):  Tuesday, Dec 9:  9 - 11 am
			Wednesday, Dec 10:  10 am - 2 pm
			Friday, Dec 12:  11 am - 12 noon.

Mr. Pak (RLM 11.104):   Monday, Dec 8:  3 - 5 pm
			Wednesday, Dec 10:  2 - 6 pm.

Hints for studying for the final exam:

0.)  Take the practice final, soon to be put on reserve in the PMA
     library.

1.)  Test yourself on the supplementary exercises.  See above and 
     p.485:  1a, b, c, e, 4, 5

2.)  Do (or redo) the practice problems listed throughout the text.
     Read the solutions.  I think the book gives some good
     explanations.

3.)  Read over your class notes, perhaps redoing some of the examples
     you saw in class.

4.)  Review your homework.

5.)  MOST IMPORTANT:  Make sure you understand what you are doing.
     Spending time to understand how to do one problem is far more
     profitable than doing 20 problems without understanding.

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Grading system

HW and Computer Projects: 15%
Midterms: 17% x 3 = 51%
Final: 34%
The following calculation may also be used:
HW and Computer Projects: 15%
2 highest Midterm grades: 17% x 2 = 34%
Final: 51%
If this grade is higher AND if your final demonstrates that you now know the material corresponding to your lowest midterm, you will be given this higher grade. If you earn any grade below a B on the final, it is unlikely that you have demonstrated that you know the material corresponding to your lowest midterm.

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Scholastic dishonesty policy

Scholastic dishonesty will not be tolerated and will be prosecuted to the fullest extent. You are expected to have read and understood the current issue of General Information Catalog, published by the Registrars Office, for information about procedures and about what constitutes scholastic dishonesty.

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Fall Semester 1997

M340L Matrices and Matrix Calculations

COURSE SYLLABUS

Class Schedule