Math 1300 Winter 2019
 
Vector Geometry and Linear Algebra I

Section A01 & A03 HOMEPAGE

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Announcements
Watch this space for time-sensitive announcement for our class

  • Contacting me: I can be emailed at any time.  I guarantee a turnaround on emailed questions within 24 hours -- usually within an hour or two.
  • FINAL EXAM:  April 15, 6:00 – 8:00 PM in the U. Centre Rm 210-224
  • The final exam is comprehensive -- i.e., it covers the entire course.  We have nothing further to say about what is, or isn't, on this exam.  Look to what was covered in lectures and what we have given you in homework and quizzes; mastery of everything learned in the course is your best pathway to success.
  • NOTE THE FINAL IS MONDAY APRIL 15 -- for a brief period the wrong date was displayed here.  BE SURE TO GO ON THE RIGHT DAY TO YOUR EXAM.   You can also check here
  • 3 HOUR MARATHON STUDY SESSION scheduled for Saturday April 13, 1–4 PM (this may be adjusted slightly when the room is booked.  Watch this space) Room: Armes 200
  • As we never went over it in detail in class, here is a set of Annotated solutions for our Midterm which I prepared for your edification. 
  • Leftover quizzes (etc) which you didn't pick up in lab should be in the box outside my office.
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This page is continually updated through the term -- watch for additions & changes

CLASS INFORMATION DIRECTORY

INFORMATION ...  
 Links/Info
OFFICE HOURS
MTWRF 11:30-1:00
CLASS INFO
W2019 Math 1300 Course Syllabus/Outline

A01 CLASS INFO
A01 Lab sections (Wednesdays in MH 316):
            B01    8:30 – 9:20            Syeda
            B02    11:30 – 12:20        Syeda
            B03    2:30 – 3:20            Yungang
            B04    3:30 – 4:20            Yungang
            B05    4:30 – 5:20            Yungang

A03 Lab sections (Mondays in MH 315 or 316):
            B11    (316)    8:30 – 9:20    Dinamo
            B12    (315)    12:30 – 1:20  Lubana  
            B13    (315)    2:30 – 3:20    Lubana
            B14    (316)    2:30 – 3:20    Syeda
            B15    (316)    4:30 – 5:20    Syeda

TENTATIVE SCHEDULE OF LECTURES
  (I hope to put something here, subject to change continually during the term, but failing this, follow your nose:  we are proceeding sequentially through the text according to the outline, and I will let you know in class if any deviations from it are coming up. If nothing appears here, the posted week-by-week slides should suffice to show you where we are in the course, and the sketch of sections covered and not yet covered in that table should suffice as an approximation of the information you would get from a more complete schedule of lectures)

HOMEWORK
(A minimal set of exercises to do in order to master the methods and content of this course.  If you wish a higher grade you probably should go beyond what is found here)

WEEKLY LAB WORKSHEETS
This is something new I'm trying in the third week -- a small sheet of exercises geared to each week's material.  We will experiment with these.  I've made up worksheets for the first three weeks (starting with Worksheet 0).  Tell me what you think.  I've suggested to the TAs that they distribute Worksheet #2 in lab this week (too late unfortunately for Lab B01, my fault!) and try them out as a way to focus your work & questions.  We'll see how that works out.

Worksheet #0                                                             Later worksheets:  to be distributed in lab only.
Worksheet #1
                                                                         (they will not be posted here)
Worksheet #2

Worksheet #6
                                                   This one is distributed here because of reading week in lieu of lab
Worksheet #11       NOTE:  A student has pointed out that in my solution to Q10 I confused the roles of x and y in the two shears. 
                                            (What I call a shear in the x direction ought to be a shear in the y direction and vice versa.)
Worksheet #12                     Worksheet 12 is in lieu of labs the very last week (Monday) of the course.  Worksheet 13 is a random sample of
Worksheet #13                      skills from the course, which I thought you'd appreciate for working on prior to the final exam.  These two
                                                                      worksheets are still in preparation but will appear here soon.
Slides from class
Projector data (NOT hand-drawn slides, or live examples), lightly edited, giving overall content & flow of material in lectures.  How I organize these may evolve over the term.  For now it will contain most of each lecture, and I'll add pages at the end of each week summarizing what was covered in class.

Sections covered
Rough sketch of week's material

SLIDES
1.1, 1.2
Gaussian Elimination, Gaussian Elimination
WEEK 1 SLIDES AND SUMMARY
1.2, 1.3
Gauss-Jordan Elimination, Homogeneous systems, Intro matrices
NOTE:  Section A01 did not cover the last couple of slides, on Matrix arithmetic, but covered later material (the slides for that will be posted when we get to it)
WEEK 2 SLIDES
1.4, (1.5)
Matrix multiplication and proofs, properties and non-properties of matrix arithmetic, transpose and the zero matrix
WEEK 3 SLIDES
1.5, 1.6
(multiplicative) Identity matrix, properties of invertible/nonsingular matrices and their inverses, EROs and Inverses.
WEEK 4 SLIDES
1.6, 1.7
Matrix Inversion Algorithm; more properties of inverses; determining consistency of a system with undetermined coefficients; upper and lower triangular and diagonal matrices.
WEEK 5 SLIDES
2.1, 2.2
Symmetric matrices, introduction to determinants, cofactors, minors, Laplace expansion, the effects of EROs and transpose on determinants, multiplying by elementary matrices.
WEEK 6 SLIDES
2.3, 3.1
Multiplicativity of determinants; determinants and invertibility; adjoints; Cramer's Rule.  Intro to Euclidean vector spaces
WEEK 7 SLIDES
3.1,3.2 Pre-Midterm Review (Monday Wednesday); properties of component form vector arithmetic, norm, dot product
WEEK 8 SLIDES
3.2, 3.3 Distance, orthogonality in Euclidean space, Cauchy-Schwarz and triangle inequalities, point normal form
WEEK 9 SLIDES
3.3, 3.4, 3.5 projections, distance to lines/planes, geometry of linear systems, vector and parametric forms of a line or plane, Cross product (only started)
WEEK 10 SLIDES
(posted without summary --
will fix later, but my
weekend was too full to get
this done right away)
3.5, 1.8
Cross Products, determinants & area/volume, intro to Transformations
WEEK 11 SLIDES
(again posted without summary
 -- will add this so it can be used to study for the final)
1.8, 4.9, 5.1, 5.2 Geometric Transformations (reflections, projections, rotations, scales, shears), eigenstuff and diagonalization.

WEEK 12 & last day SLIDES




If you find typos in the slides please email me and I'll fix 'em
Practice sheets and study helps
May be updated from time to time during the term
Homework and study notes are found in the weekly summary at the end of each set of slides. 

ALTERNATIVE READING RESOURCES
Some pages prepared by my colleague M. Doob for his Math 1220 class, which covers a lot of the same material as Math 1300:
NOTES (and some exercises) on SYSTEMS OF LINEAR EQUATIONS
NOTES (and some exercises) on THE BASICS OF MATRICES
NOTES (and some exercises) on DETERMINANTS

SOME PRACTICE SHEETS
As I've repeatedly stated, the key to mastering this material is (largely) practice.
My colleague Rob Borgerson has constructed some helpful self-help practice sheets for a few of the skills you need to know for this course.
Make use of them.  Send in any typos or other comments.

REF PRACTICE
RREF PRACTICE
GAUSS-JORDAN ELIMINATION PRACTICE
WORD PROBLEMS (TO SET UP LINEAR SYSTEMS TO SOLVE) PRACTICE
MATRIX MULTIPLICATION PRACTICE
ADJOINTS PRACTICE (easier) ADJOINTS PRACTICE (harder)

Here's one I prepared to help with vector geometry basics:
GEOMETRY WORKSHEET -- some exercises covering some of our basic skills (plus some exercise in using them flexibly) concerning vector geometry up to and including cross products
QUIZZES
"WHAT WILL BE ON THIS QUIZ?", I am often asked.  If I ever have anything to say it will be said ONLY in class -- not to individuals (no insider information!).  In general the following rule always applies unless you hear otherwise:  Everything prior to the week prior to the quiz. Quizzes assume topics seen in class only -- not stuff in the text that was not (or not yet) seen in class.  Same principle applies to exams!
  • Quiz 1 Jan. 28, 30
    Solutions (note: this document contains a separate key for each version of the quiz)
  • Quiz 2 Feb. 11, 13
    Solutions (note: there was an error in the original version of the key for QIIC in question 3.  It should be fixed in this version.)
  • Quiz 3 Feb. 25, 27 - note at least one further error in the key has been pointed out to me.  Will be fixed when I can get to it.
    Solutions
  • Quiz 4 Mar. 11, 13
    Solutions 
  • Quiz 5 Mar. 25, 27
    Solutions
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