Revising the schedule for the matrices

Given the nature of the schedule during AP's, the Matrix Test has moved to Monday, May 16th. Finish (and understand) all packets by then and you should be fine. Look over your Matrix Skills sheet to be sure.

Matrices

The study of matrices involves the most recent applications of mathematics that we study. While understanding the techniques required to manually manipulate the data, we will spend a lot of time using the calculator and the computer.

4/25   Review what was covered before vacation, plus Matrix Multiplication
              HW Extra Problems on Matrix Multiplication
4/26   Applications of matrices to linear systems
              HW handout includes 6 problems and these Demana problems:
              p.554/67-70, 73,74,76,78,79, and p.563/13,15,21
4/27   Communication Matrices CW B p.540-542/3,5,7,9-13
4/29   Markov Chains (probability with matrices)
              HW finish handout plus Brown p.547-550/5,9-11,14-17

5/02   Transformations Day 1 HW p.1-4 of handout
5/03   Transformations Day 2 HW p.5-7 of handout
5/04   3D Matrix Apps HW do all of handout
5/06   Determinants with vectors HW handout problems 1-7

5/09   Determinants in 3D HW handout problems 8-12
5/10   Determinant summary, Review HW handout
5/11    Matrix Test for E-Block
5/12    Matrix Test for G-Block (Also a Half Day: C A G F)

Projections and Points to Lines

We went through finding the distance from a point to a line in 2D and a point to a plane in 3D. The question arose about find the distance from a point to a line in 3D. Look again at the homework problems in the Brown book: p.457-458/34-39.

For projection practice, do Demana p.473/25-28 and 58a.

Finish the 3D points, lines and planes worksheet (problems 11-14).

Other than that, go back and make sure you have done and understood all of the previous homework in light of the objective skills of the unit. The unit test will be on Friday, April 15th.

Homework for Monday, April 4th

E-Block did not get the correct homework for today. Download the pdf of the worksheet (with book problems listed on the sheet). You do not need to do problems 11-14 at this time!!

Vectors

Here is the syllabus for the topics. In Demana it is the beginning of Chapter 6. In Brown it is Chapter 12

3/21   Intro to Vectors
             Demana p.464-465/3-27 by 3's and 29-39 odd and Brown p.423,425/5-7, 17-20
3/29   Angles between vectors, The Dot Product
             Brown p.444-445/1-19 odd, 23, 27-29
3/30   Vector Proofs (D: 6.1 and B: 12.1, 12.2)
             finish worksheet plus Brown p.425-426/21-23 and p.429-431/11,12,15,18,27-29,33,34
4/01   Equations of Lines, Vectors in 3D, End of Term 3
             finish worksheet plus B p.436-437/17,18,23 and D p.466/63,64
             If you still feel that you need extra practice to feel comfortable with the material,
             section 12.5 in the Brown book is the place to go (clear explanations, good
             diagrams, comprehensive problems).

4/04   More 3D:Equations of Planes, vectors perpendicular to planes (B: 12.5)
             Worksheet problems 1-10 plus B p.452/42-45 and p.455/15,21,28-31,33,34
             We talked about equations of planes & vectors perpendicular to the planes. Read the
             corresponding explanations in the book. They are very clear, have lots of examples and
             better pictures than anything I can draw. (This reading should be considered
             part of the homework!)
4/05   Spheres, vectors & planes, Angles between planes (B: 12.5, 12.6)
             B p.450-451/11,13,17,27,31-36,41,42 and p.456-458/21,25,27,34,35,37-39
4/06   The Cross Product
             Vector Cross Product worksheet
4/07   Projections, Distance from a point to a plane
             Work on worksheet and do "Points, Lines and Planes in 3D" problems 11-14

4/11   Extension problems

The test will either be Wednesday/Thursday (E and G Blocks respectively) or Friday 4/15.

4/16-4/24   April Vacation

Review for the Cumulative Exam

We started vectors and the homework ks to finish the two worksheets from class as well as doing the following quick textbook problems:

Demana p.464-465/3-27 by 3's and 29-39 odd
Brown p.423,425/5-7, 17-20

The rest of the week is spent working through a skeleton review packet and any other problems that you may find helpful.

Demana reviews problems:
Ch 1    p.152-155      p.150-152
Ch 2    p.246-249      p.253-256
Ch 3    p.314-317      p.331-334
Ch 4    p.400-401      p.418-420
Ch 5    p.450-453      p.473-476
(the first set of numbers is the new edition, the second numbers are the old edition - the classroom books)

The test is for all sections of Honors Advanced Math on Monday, 28 March 2011.

Polar Coordinates

Our next unit is a quick one but really useful. It is a somewhat surprising application of trig that will come up again later. Polar coordinates are covered in the Demana book in sections 6.4-6.6 and in the Brown book in Chapter 11.

Day 1: Intro to Polar, CW B p.400/1-11 odd
         HW D p.492/493/5,6,23-30,52-54,61,63
Day 2: Converting Equations between Rectangular and Polar, CW Worksheet
         HW D p.500-502/5,7-13,17,21,23,45,49,53,55
Day 3: 3D Polar Coordinates two ways - Spherical and Cylindrical Coordinates
         HW finish worksheet
Day 4: cis and the Product of Complex Numbers
         HW B p.406-407/10,12,15,17,24-31 and D p.512/63 (derive Quotient rule)

Day 5: Powers and Roots of Complex Numbers (DeMoivre's Theorem)
         HW B p.410/4,5,9-14 and p.413/5,6,8,11-13
Day 6: Extra Complex Problems
         HW finish worksheet
Day 7: Review
Day 8: 3/18 Test of Polar Coordinates