MAT198

University of Toronto

MAT198F LINEAR ALGEBRA
Fall 2001
(The information on this webpage is subject to revision.)

This is a 1st year enhanced course on Linear Algebra for Engineering students.

Linear algebra is a key tool which is used in almost all topics in engineering, and this course is designed to provide the foundations of linear algebra for most of the engineering topics covered in the undergraduate curriculum.

Have a fun time in the course!

NOTES

We will cover the following sections of the text-book:
Chapter 1 -- all sections
Chapter 2 -- all sections
Chapter 3 -- all sections
Chapter 4 -- section 4.1
Chapter 5 -- all sections
Chapter 6 -- all sections
Chapter 7 -- sections 7.1, 7.2
Chapter 9 -- sections 9.1, 9.3
Chapter 11 - section 11.4

NOTE: Tutorial 12's room has been changed from ES149 to ES142
as of Sept 18,2001.

NOTE: The 1st Mid-Term Test will be held on Thursday Oct 11, at
7:00pm - 8:00pm.

NOTE: The 2nd Mid-Term Test will be held on Wednesday Nov 14, at
7:00pm - 8:00pm sharp.

Rooms for the 2nd mid term test are as follows:

Lect #1(Davison) GB405 (Abichandani to Ng)
GB404 (Paau to Zhang X.)

Lect #2(Luus) SF3202 (Ahmar to Park)
GB404 (Patel to Zhang C.)

Lect #3(del Junco) SF1013 ( A to V ) ... letter of last names
SF3201 ( W to Z ) ... letter of last names

Lect #4(Homayouni) SF3201 (all)

NOTE: The Faculty has a rule that only three models of
calculators are allowed in quizes, tests, and exams.
The allowed calculators are as follows:
Casio 260, Sharp 520, TI 30.

NOTE: The #1 mid term test has now been graded and the
raw grades which you obtain will be normalized so the average
grade of each section = 76.3 %. Thus to obtain your final grade
multiple your raw grade by the factor fac, where:
Sec #1 fac = 1.015
Sec #2 fac = 1.259
Sec #3 fac = 1.000
Sec #4 fac = 1.785

NOTE: The #2 mid term test has now been graded and the
raw grades which you obtain will be normalized so the average
grade of each section = 78.7%. Thus to obtain your final grade
multiple your raw grade by the factor fac, where:
Sec #1 fac = 1.000
Sec #2 fac = 1.125
Sec #3 fac = 1.407
Sec #4 fac = 1.395

NOTE: The EXAM is scheduled for Monday Dec 10 at 2:00pm
and is a type "A" exam.

****************************************************

General Information

Miscellany

Textbook

Course Outline

Composition of Final Mark

Tutorials

Midterm Tests

Exam

GENERAL INFORMATION

Professors

   
L01   E.J. Davison   ted@control  (Coordinator)     
L02   R. Luus        luus@chem-eng  
L03   A. del Junco   deljunco@math  
L04   S.Homayouni    homayoun@math

Teaching Assistants

Constantin Delibas cndelib@chem-eng Ruth Milman milman@control Keith Leong leong@ophelia.aquezada.com Daniel Carrera dcarrera@math Arthur Fischer arthur.fischer@utoronto.ca Rashid Kohan kohan@control Steven Dejak sidejak@math Lectures

       L01            L02             L03          L04                        
Mon    -----          ----            3-4  MC252   3-4    SF1101     
Tue    9-10  SF1101   9-10  MC252     ----         ----
Wed    -----          ----            3-4  MC254   3-4    MC252 
Thur   10-11 MC254    10-11 MC252     ----         ----  
Fri    9-10  SF1101   9-10  FG103     3-4  MC252   3-4    MC254

Labs

Tutorials


TUT 01  Fri 11-12  ES142   (has E. Davison    as lecturer, S. Dejak   as the tutor)
TUT 02  Fri 11-12  GB304   (has E. Davison    as lecturer, C. Delibas as the tutor)
TUT 03  Fri 11-12  WB119   (has E. Davison    as lecturer, D. Carrera as the tutor)

TUT 04  Fri 11-12  HA401   (has R.Luus        as lecturer, K. Leong  as the tutor) 
TUT 05  Fri 11-12  UC52    (has R.Luus        as lecturer, A. Fischer as the tutor)
TUT 06  Fri 11-12  WB130   (has R.Luus        as lecturer, R. Kohan as  the tutor)

TUT 07  Fri  9-10  HA410   (has del Junco      as lecturer, S. Dejak   as the tutor)
TUT 08  Fri  9-10  GB304   (has del Junco      as lecturer, C. Delibas as the tutor)
TUT 09  Fri  9-10  HA401   (has del Junco      as lecturer, D. Carrera as the tutor)
 
TUT 10  Fri  9-10  WB242   (has S. Homayouni  as lecturer, K. Leong as the tutor)
TUT 11  Fri  9-10  RS310   (has S. Homayouni  as lecturer, A. Fischer as the tutor)
TUT 12  Fri  9-10  ES142   (has S. Homayouni  as lecturer, R. Kohan   as the tutor)

***************************************************************** 
 
 NOTE: IT IS ESSENTIAL THAT YOU ATTEND THE CORRECT ASSIGNED LECTURE AND TUTORIAL
       ROOM;  OTHERWISE YOU MAY END UP TAKING THE INCORRECT
TEST/ASSIGMENT/QUIZ  ETC!!!      
If you are in Davison's lecture, check that you are in either

Tutorial 1,2 or 3.

If you are in Luus's lecture, check that you are in either

Tutorial 4,5,or 6.

If you are in del Juno's lecture, check that you are in either 

Tutorial 7,8,or 9. 

If you are in Homayouni's lecture, check that you are in either 

Tutorial 10,11, or 12. 

If you are not in your correct Tutorial, please advise your 

instructor, register the problem with the Faculty office 

and please email Davison (ted@control)  your name, your old 
  
incorrect Tutorial and your new correct Tutorial choice. 

Many thanks!                                             

****************************************************************

MISCELLANY

Linear algebra is used as the major tool in 1000's of applications. For example, the following web sites use linear algebra as their main building block!

Control tutorials for MATLAB.
Java applets for signals, systems, and control.
Scilab, control freeware.
VisSim: Commercial control software.

TEXTBOOK

Elementary Linear Algebra - Applications Version,
by H Anton, C. Rorres, Wiley , 8Eth edition.

COURSE OUTLINE

Lecture:	3 hours per week. (Four sections are scheduled presently.)

Tutorial:	1 hour per week to be carried out by assigned teaching
		assistants. (Typically 1.5 TA's per section are assigned.)

Section:       	E. Davison
Instructors:	R. Luus
                A. Del Junco  
                S. Homayouni 

Textbook:	Elementary Linear Algebra: Applications Version by
	 	H. Anton, C. Rorres, Wiley, 8Eth edition.

Marking Scheme:
		Final Exam  60%
		Midterm #1  15%
		Midterm #2  15%
		Quizzes     10%
		           ----
			   100%

Tests:  To be set by each instructor for the four sections. One-hour term tests 
        will be written during the weeks of October 8, 2001 and November 12,2001.
        Generally, term tests are written in one of the tutorial rooms
        assigned to your section.


Quizzes:  To be set by teaching assistants. Quizzes will be written in the
	  tutorial and will, in general, be based on the previous week's
	  suggested exercises. Typically, there will be 7 quizzes, each
	  quiz consisting of a single question to be completed in the first
	  10 minutes of the tutorial. The final grade of the quizzes will
	  be the "best" 6 out of the 7 quizzes.

Final Exam:  There will be a common final exam 2-1/2 hours long to be
	     scheduled by the Faculty Office in the December 2001 exam
	     period.

Grading:  The term tests and quizzes are to be graded by the TA's; the
	  final exam is to be graded by the instructors.

Term Marks:  Term marks in each section will be adjusted such that each
	     section has the same average mark.

Remark:  MAT188F is the "normal" 1st year course on Linear Algebra; 
	 MAT198F is the "enriched version" of MAT188F.


                         TIMETABLE OF COURSE      


Week of     Section     Suggested Homework Exercises                   Notes
Sept 6        1.1       3,4,5,6,7,8,12				       term starts
	      1.2	3,4,5,6,11,12,14,15,17,21,30	               Sept 6/01
              1.3	2,3,4,5,6,8,12,13,14,18,22,23
			  
Sept 10	      1.4	1,2,3,4,6,7,8,9,11,12,13,14,16,17,19,20,21
              1.5	1,2,3,6,7(c),7(e),8,9,10,11                     tutorials  
	      1.6	3,6,7,9,12,17,19,20,21,22,23,25                 start
	      1.7	1,3,4,5,6,10,14,15,18,20,22

Sept 17	      2.1	4,5,7,8,10,13,19			       
              2.2	1,2,3,4,5,6,8,12,13	                       
              2.3	1,2,3,4,5,6,7,9,10,12,16,18

Sept 24	      2.4	1,3,4,5,9,11,13,15,17,19,21,23,25,31	        Quiz #1
              3.1	2,3,4,6,8,9,10,14	                        quizzes
	      3.2 	1,2,3,4,5,6,7,8				        start

Oct 1	      3.3	1,2,3,4,5,6,8,9,10,11,12,13,14,16,17            Quiz #2
              3.4       1,2,3,4,7,8,9,11,12,13,14,16,17,24,25

Oct 8	      3.5       1,2,4,5,6,7,8,9,10,11,12,16,17,18,21,22,23      Midterm #1
			24,26,27,28,29,30,31,34,35,36,37,39,40,41,42    this week
              4.1	1,2,4,5,6,7,8,9,11,14,15,16,20,21,22
	      5.1	3,6,8,10,15

Oct 15	      5.2	1,2,3,5,6,7,8,9,10,11,12,13,14,16,19,21         Quiz #3
              5.3	1,2,3,4,5,6,7,10,12,14,15,17,20

Oct 22	      5.4	1,2,3,4,5,7,8,9,10,11,13,15,17,18,20,26         Quiz #4
              5.5	1,2,3,4,5,6,7,8,9,10,11,14

Oct 29	      5.6	1,2,3,4,5,6,7,8,9,11,13,14,15                   Quiz #5
              6.1	3,8,10(a),10(b),12,13,16,17,18,20,22,28
	      6.2	1,3,6,7,8,9,12,13,14,16,18,30

Nov 5         6.3	1,2,3,4,8,9,11,16,17,19,23,29,30	        Quiz #6
	      6.4	1,2,4
	      6.5	1,3,23,24

Nov 12	      7.1	4,5,6,7(a),8(a),9(a),10,11,16,17,20,21,22       Midterm #2
              7.2       2,8,21                                          this week

Nov 19        9.1	1,2,3,4,5                                       Quiz #7
              9.3	1,2,3       

Nov 26	      11.2     	1,3,5,                                          Last week of
	      11.4	1,5,6                                           tutorials

Dec 3	      11.9      1,2,3,4                                         Classes end
              							        Dec 5/01

COMPOSITION OF FINAL MARK

Quizes           10%
Midterm test#1   15% 
Midterm Test#2   15%
Exam             60%

NOTES RE EXAM:

See previous note re type of calculator permitted.

NOTES RE MID-TERM:

See previous note re type of calculator permitted.

TUTORIALS

There will be TAs assigned in each of the tutorial periods, and they are there to help you in understanding lecture material, in helping with homework problems etc..

LAB

There are no labs to carry out in the course.

An Example of a $125 million(US) error- Delta3A Oct 1998 launch. --- The Importance of Linear Algebra!

A photo of a commercial rocket approx 3 minutes into the launch:

Click for Photo

A photo of the rocket approx 5 minutes into the launch. In this case, the multivariable controller which was designed to control the vehicle had a fundamental flaw, and as a result, the slow oscillatory modes of vibration associated with the liquid motion of the fluid, grew in magnitude, thereby causing instability to result! It is to be noted that one of the major tools used in automatic control system design is Linear Algebra --> and without this tool, many of the exciting advances which have occurred in modern industrial society could not have taken place!

Click for Photo

Last updated Nov 26, 2001

University of Toronto

MAT198F LINEAR ALGEBRA Fall 2001 (The information on this webpage is subject to revision.)

Have a fun time in the course!

********************** NOTES **********************

****************************************************

GENERAL INFORMATION

MISCELLANY

TEXTBOOK

COURSE OUTLINE

COMPOSITION OF FINAL MARK

NOTES RE EXAM:

NOTES RE MID-TERM:

TUTORIALS

LAB

An Example of a $125 million(US) error- Delta3A Oct 1998 launch. --- The Importance of Linear Algebra!

MAT198F LINEAR ALGEBRA
Fall 2001
(The information on this webpage is subject to revision.)

NOTES