M340L Matrices and Matrix Calculations Spring 1999

COURSE SYLLABUS

First day handout (postscript file) (pdf file)

TABLE OF CONTENTS
  1. Course information
  2. Meeting time and location
  3. Instructor
  4. Teaching Assistant
  5. Required textbook
  6. Class Schedule
  7. Homework assignments
  8. Homework answers
  9. Computer projects
  10. Exams
  11. Grading system
  12. Scholastic dishonesty policy

  • Course grades

  • complete HW grades

    • Check out our newsgroup at http://www.ma.utexas.edu/wwwboard/m340l.darcy/wwwboard.html. Post HW or Computer questions or arrange study group meetings. Extra credit may be given for responses to HW or Computer questions which are well-explained--giving reasons, not just steps.

    M340L Matrices and Matrix Calculations

    Unique number: 53215
    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: 1:00-1:50
    Place: WAG 101

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    Instructor

    Name: Isabel K. Darcy
    Office: RLM 10.110
    Office hours: Mon 12 - 12:45, Thurs 2:30 - 3:30, Fri 2 - 3 or by appointment
    Phone: 475-9143
    E-mail: darcy@math.utexas.edu

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    Teaching Assistant

    Name: Francisco Portillo
    Office: RLM 9.146
    Office hours:MW 9 - 11am
    Phone: 475-9139
    E-mail: portillo@math.utexas.edu

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    Required textbook

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    Class Schedule

    Table of contents

    Homework assignments

    No late assignments will be accepted. However, if you wish to turn in an assignment early, you may bring it by my office hours or slip it under my door (RLM 10.110) if I am not in.
  • short introduction to matlab.
  • math department's MATLAB Primer
  • The following web sites are provided by courtesy of Dr. Lefcourt. 
    
Computer Project #1 (300 pts)			Due:  Friday, March 5

0.)  Change your password.

1.)  Do as much of the computer project, "Getting started with MATLAB" as
you need.  Do not turn in this project.

2.)  Do and turn in the computer project, "Roundoff error in matrix
calculations".  Note:  the "ref" command may not work.  Use "rref"
instead.
    If you have not yet picked up the above computer projects, you can find extra copies outside of my office (RLM 10.110). Extra Credit projects are on reserve in the PMA library. 
    Extra Credit  					Due:  Friday, March 5

Do as many as you wish of Day's projects (2 - 8) which are listed below:

	2.)  10 pt
	3.)  20 pt
	4.)  15 pt
	5.)  20 pt
	6.)  15 pt
	7.)  20 pt
	8.)  20 pt

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Extra Credit #2  				Due:  Friday, April 2

Do as many as you wish of Day's projects (11, 12, 13, 15, 22)  listed
below which can be found on reserve under my name (Darcy) in the PMA
library (4rth floor of RLM -- the math building):

	11.)  20 pts
	12.)  20 pts
	13.)  20 pts
	15.)  20 pts  (I highly recommend this simple project)
	22.) This is the project we did in class.  You may do it twice for
extra credit as listed below.  Instead of using submats, using the command
randint(m,n,k,r).  The command randint(m,n,k,r) is an m by n matrix of
rank r with integer entries in the interval [-k:k].

	20 pts:	Let A = randint(5, 5, 99, 4) 
		Let B = randint(5, 5, 99, 4) 
		
	
	20 pts: Repeat project 22, but this time, 
		Let A = randint(5, 5, 99, 4)
                and let B = A*randint(5, 4, 9, 4)


	20 pts:  If you did project 22 twice as described above, you
probably had one case when Col A = Col B while in the other case Col A was
not the same as Col B.  Answer the following challenge questions (answers 
will be graded based on explanations given:

1.)  Which of the above commands will most likely generate two matrices
with the same column space.  Explain.  Will these commands always generate
the same column space.  Explain.

2.)  Which of the above commands will most likely generate two matrices
with different column spaces.  Explain.  Will these commands always
generate different column spaces.  Explain.

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Extra Credit #3                                 Due:  Friday, May 7

Do as many as you wish of Day's projects (19, 20, 27)  listed below which
can be found on reserve under my name (Darcy) in the PMA library (4rth
floor of RLM -- the math building):

	19.)  Partitioned Matrices:  30 pts
	20.)  Schur Complements:  30 pts
	27.)  Least Squares solutions and Curve Fitting: 20 pts

Note:  Projects 19 and 20 are a good review for section 2.4.  Project 27
refers to section 6.6 which we did not cover in class (and thus will not
appear on the final), but is a nice application.
    The extra credit will be added to your homework grade. Thus, you may earn more than 100% on your homework grade (up to a maximum of 120%).

    Total HW points possible (including computer project): (11 - 2)*100 + 300 = 1200 pts.

    If you find any bugs, please e-mail me. You will still be given credit for a project even if you cannot finish the project due to a computer bug (if you turn in the project and e-mail me).

    A list of bugs can be found at our newsgroup at http://www.ma.utexas.edu/wwwboard/m340l.darcy/wwwboard.html.

    If you do not use the math department computers, you should read the matlab newsgroup messages posted on Feb 12 .

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    Exams

      Since I will be out of town and will not be back until Friday, if you have any questions, please ask our TA, Mr. Portillo. His e-mail address was incorrectly listed in the first day handout. His correct e-mail address is portillo@math.utexas.edu

    • Exam 1: 
      		Date:   Wednesday, Feb 24
		LOCATION:  WAG 101 (our normal classroom)
		Time: 1:00 - 1:50pm (our normal time).
                  covering Ch 1 and 2.1 - 2.5

Bring your student ID.  No calculators will be allowed.  Show all work on
the exam.

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

Hints for studying for the exam:

0.)  Take last years 50 minute exam 1 on reserve in the PMA library
     (ground floor of RLM).  

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:   Monday, Apr. 5
                LOCATION:  WAG 101 (our normal classroom)
                Time: 1:00 - 1:50pm (our normal time).
                  covering 2.9, 3.1, 3.2, 4.1 - 4.6


Click here for suggestions made and information given during the review.


HW #6 and #7 are in a blue bag outside of Mr. Portillo's office (RLM
9.146).

Bring your student ID.  No calculators will be allowed.  Show all work on
the exam.

I will not provide any formulas for this exam.  However, you may bring a
3 X 5 card upon which you may write anything you want on both sides of the
card.
    • Review Session: Thursday, April 1, 1pm - 3pm, WAG 101.
    • Exam #2 Office hours: Thursday 3 - 3:50pm, Friday, 12 - 12:45pm, Monday 9am - 10am, 12 - 12:45pm, or by appt. 
      
Hints for studying for the exam:
      Attend one or both the reviews: Thursday 1 - 3pm in WAG 101 or in class on Friday (I'll give the Friday class review, 1 - 2pm, regardless of whether or not the university cancels class due to Good Friday). 
      0.)  Take last years 50 minute exam 2 on reserve in the PMA library
     (ground floor of RLM).

1.)  Test yourself on the supplementary exercises.  For example, 
     p206: 1 (skip the letters l and m), 2 - 6 all,  and
     p.292: 1a-1o (skip p and q) 2, 4, 6, 7, 8.
    • Exam #3: 
      		Date:   Wednesday, Apr 28
		LOCATION:  WAG 101 (our normal classroom)
		Time: 1:00 - 1:50pm (our normal time).
                  covering 5.1, 5.2, 5.3 and 6.1, 6.2, 6.3

Bring your student ID.  No calculators will be allowed.  Show all work on
the exam.

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

    • TUESDAY 11 - 12:20, GAR 200
    • TUESDAY 5 - 6:30, RLM 6.124 
      
Hints for studying for the exam:

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

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 {ESPECIALLY 5.3 AND 6.3}.

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.
  • Exam 1, 2, and 3 grades

  • new HW grades

    Final exam:

      • Tuesday, May 18, 9 - 12 noon.
      • Location: Welch 3.502.
      • The final exam will be cumulative. 
    
Bring your student ID.  No calculators will be allowed.  Show all work on
the exam.


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

    More information about the final exam

    Q & A SESSIONS:

  • THURSDAY 5 - 6:30, RLM 5.116
  • MONDAY 12 - 2, RLM 5.116 
    Finals Week Office Hours

Dr. Darcy (RLM 10.110):  Monday 3 - 6:30pm, or by appointment.  I will be
out of town on Friday, but am available all day Wednesday and Thursday.
You can try dropping by or e-mail me a time to make sure I am in.

Mr. Portillo (RLM 9.146):  Monday 9 - 11am.

Hints for studying for the final exam:

0'.)  Check back here on Thursday for more information relating to the final.

0.)  Take the two practice finals on reserve in the library.
                   
1.)  Test yourself on the supplementary exercises.  See above and
     p. 439 1r, 1s, 10 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.  If you are missing any recent class notes, 
     remember the most recent CLASS NOTES ARE ON RESERVE IN THE LIBRARY.


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.

      The two lowest homework grades will be dropped. No computer project grades will be dropped.

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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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    Spring Semester 1998