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.

Section 8.1

We started to look at an alternative way of expressing lines, through the use of vectors.

HOMEWORK:  Page 433 - 434, #'s 4, 5, 7, 9 and 11

P.S.  Get back into the swing of things as we head into the final month of class.  Read ahead into section 8.2 in preparation for class on Friday.

Ch. 7 Review

It's been a while since we have made an entry to the blog...

Key concepts from Chapter 7 are:

• Vectors as forces
• Dot product of geometric and algebraic vectors
• Scalar and vector projections
• Cross product
• Applications of the dot and cross product

Here are the recommended review questions that you should try from Pages 418 - 421:

#'s 1, 2, 3, 4, 6, 7, 9, 12, 14, 15, 18, 20, 23, 24, 25, 27, 30 and 34

Now start studying!!!

Vector Projections

Below are the links to the videos that we watched in class today regarding Scalar and Vector Projections.

Use these along with the examples in your student text (section 7.5) to consolidate your knowledge on this topic.

http://www.youtube.com/watch?v=0qMW4d8HwDw


http://www.vitutor.com/geometry/vec/vector_projection.html

HOMEWORK:  Page 399-400, #'s 4, 6, 7, 11 and 13

Algebraic Dot Product

Once again you are encouraged to read over the examples provided in your student text.  Pay close attention to example 5 on page 384 as it may prove useful in helping you answer some of the homework questions.

HOMEWORK:  Page 385 - 387, #'s 2, 6c, 7, 10, 12, 16 and 17

Geometric Dot Product

We looked at section 7.3 in class on Monday.

HOMEWORK:  Page 377, #'s 2, 6ab, 7a, 8, 9 and 11

NOTE:  We will be moving into section 7.4 tomorrow, this involves the dot product of algebraic vectors.

Velocity (Section 7.2)

Don't forget to read the examples from your text for this section.

HOMEWORK:  Page 369 #'s 3, 4, 5, 6, 8, 9 and 12

Vectors as Forces

We have started chapter 7.  Please, please, please read ahead.

HOMEWORK:  Page 362 - 364, #'s 3, 5, 7, 8, 13 and 17

Parking Lot

Just providing a clean spot in case any of you have any questions that you want clarified prior to the test on Monday.  I will check the blog at least twice this weekend.  Sometime Saturday night and sometime Sunday evening as well.

Operations with Vectors in 3-space

We managed to get through 6.7 in class today.  On track to finish chapter 6 tomorrow with a lesson on linear combinations and spanning sets.  UNIT TEST will be on MONDAY, May 7th

HOMEWORK:  Page 332 - 333, #'s 1, 2, 5 through 8, 12, 14 and 15

Algebraic Vectors in 2-space

We continued onto section 6.6 in class today.  The plan is to move ahead with 6.7 on Wednesday, so be sure to read ahead as always.

HOMEWORK:  Page 324, #'s 1, 5, 7, 9 and 13

Vectors in 2-space & 3-space

Today was all about locating points and/or vectors in both 2 dimensions as well as 3 dimensions.

HOMEWORK:  Page 316 - 318
#'s 1, 3, 9, 10b, 12, 14 and 15

REMINDER:  The plan is to move through the rest of chapter 6 this week.  Continue to read one section ahead of me, it can only benefit you in class each day.  Next Unit Test should be early next week!

6.3 Multiplication of a Vector by a Scalar

Homework: pg 298 # 2, 3, 5, 7, 13, 14

So long. I had a good month teaching this class. Good luck in the future.
-- Mr. D