And then there was one...

You folks better be studying...after marking some pathetic exams this weekend I need a fuzzy warm feeling while marking yours!

I figure I will be on-line periodically over the next few hours (say until midnight) to answer any last minute questions you may have.

Get a good night's sleep and make sure you have a breakfast in the morning.  I should be there early in case anyone wants to start before 9 AM.

Mr. A.

2 to go...

Just creating a clean spot in case there is anyone out there who needs to have questions answered over the weekend.

I will check at some point Saturday afternoon and again later in the evening.  I will also check at some point on Sunday and figure I will be on-line a fair amount on Sunday evening as I have to start my report card comments for my other classes anyway.

Mr. A.

Exam Outline

FINAL EXAM - MONDAY, JUNE 25th - 9 AM (3 hours)

GOOD LUCK ON ALL OF YOUR EXAMS!!!

Stopped Short

I was voted out...it was decided that stopping at 9.2 was in the best interest of the students.  Below you will find the suggested review questions from the Cumulative Review Sections of your textbook.

For the Calculus portion of the course.  Page 267 - 270.  All questions numbers 1 through 32 are EXCELLENT review questions covering all of the concepts that were taught in the first part of the course.

For the Vectors material that we have been working on you should look at the following questions starting on page 557:  #'s 1, 3 through 12, 16a, 17, 18, 19a, 21, 22, 26, 28, 31, 33 and 34

I don't expect you to finish these all this weekend.  These are the problems that you can be working on leading up to the exam.

I will check the blog occassionaly this weekend.  We can also discuss any of the above questions or others you may have during class over the next three days.

Now start STUDYING!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Section 9.2

We took the entire period to look at the one example below.  The whole problem revolves around understanding basic row operations and the idea of elimination (from back in grade 10) to produce zero's in the bottom triangle of the system (see diagram in notes below or read in your student text).

I strongly urge you to read pages 499 through 507 of your text for a deeper understanding of this concept.

NOTE I:  Tomorrow will be a "work" period with problems assigned from section 9.1 and 9.2. 

NOTE II:  In class on Friday we will touch on some of the concepts from section 9.3 and 9.4 and that will conclude the material that will be covered on the exam.

Rest of 9.1

We wrapped up section 9.1 today in class by looking at a couple of examples.  Specifically we looked at each of the 4 cases.

1 soloution - 1 point of intersection
infinite solutions - lines are coincident (on top of one another, or the same line)
no solutions (2 seperate cases) either lines are parallel and non-coincident OR lines are skewed, that is not parallel but still not intersecting.

I will assign offical homework for this section in class on Thursday...

Section 9.1 (Part I)

We got into section 9.1 today.  We are studying the intersection of lines with planes, as well as lines with other lines in 3-space.

Each of the above examples looks at lines intersecting (or being parallel to) a plane.  We will pick up from here in class on Tuesday and look specifically at how to interpret lines that are skewed.

HOMEWORK:  READ SECTION 9.1 in your TEXT IF YOU HAVEN'T ALREADY DONE SO!!!

Assigned Work

As per your request, below you will find the suggested practice problems from section 8.4 and section 8.5.  All of these questions involve Equations of Planes - Vector, Parametric and Cartesian (scalar) forms.

From 8.4 - pages 459 and 460
#'s 1, 3, 5, 9, 10, 13 and 15

From 8.5 - pages 468 and 469
#'s 1, 5, 6, 8, 11, 12 and 15

If you have questions and comment at some point this weekend I will make it a point to check the blog at least once each night (Friday, Saturday and Sunday)  I will probably check more often than that though as I will be locked up in my house MARKING all weekend!!!

NOTE:  The plan is to move into Chapter 9, Section 9.1 in class on Monday.

Section 8.5

We kind of rushed through this section a little bit.  We looked at two or three examples.  You are going to have to go back and read the last example on your own...this involves finding the angle that is formed between two planes.

Be sure to complete the above questions that we did not get to finish on your own.  I will try and post the solutions on the blog...maybe one of you can provide a solution under the comment section for me :)

Section 8.4

We have moved onto equations of planes in three space.  Today we looked at the vector and parametric equations.

No formal homework tonight.  We will double up on Wednesday or Thursday this week :)-

Re-read section 8.4 at home tonight as well as section 8.5 as we will look at teh Cartesian (ie. scalar) Equation of a Plane in class tomorrow.

Section 8.3

We have now moved into vector equations of lines in 3-space.

HOMEWORK:  Page 449 - 450, #'s 1abc, 2abc, 3, 5ac, 7 and 9

Don't forget to stay ahead of me and read section 8.4 prior to class on Tuesday!!!

Section 8.2

We looked more closely at the Cartesian (or scalar) equation of a line and how it connects to vectors in class today.

HOMEWORK:  Page 443 - 444, #'s 1, 5, 6, 9, 10abc and 11

NOTE:  We will be moving back into 3-space starting on Monday so be sure to read ahead into section 8.3.