Monday, March 31, 2008

Matrices - more than you imagined!

Matrices is a relatively new branch of mathematics - only about 150 years old! It is used for a tremendous variety of applications, many of which we will explore. Here is the syllabus.  Much of the homework will be worksheets so the details will be posted later.

3/25  post-vector-test HW Read Brown sections 14-1 and 14-2 and do
           B  p.521-522/9,11-13,16  and  p.526-528/5-11 odd,12,15,16,18
3/27  Identity and Inverse
           HW finish worksheet plus D p.565/33-35,37,45-48
3/28  Linear Systems and Row Operations
           CW Three variable linear systems worksheet
           HW D p.577-578/5-8,17,23,29,31-36,47-57 odd
           (do the row ops by hand for 5-36, use the calculator for the rest)

3/31  Inverses from Row Operations
           HW Computer Lab
4/01  Applications
           HW Worksheet (6 problems plus D p.578/59-62,65,66,68.70.71
                                     and D p.585/13,15,21)
4/03  Transformations Day 1
4/04  Transformations Day 2

4/07  3D Matrix Applications
4/08  Determinants with vectors
4/10  Determinants in 3D
4/11  Determinant wrap-up

4/14  Markov Chains (Probability with matrices)
4/15  Review
4/17  Matrix Test
4/18  Communication Matrices

4/19 - 4/27  April Vacation

Monday, March 24, 2008

Post-Test Matrix Review

Here is the Matrix Review assignment.  Come in Thursday knowing how to add and multiply matrices.

Read Brown sections 14-1 and 14-2 and do
B  p.521-522/9,11-13,16  and  p.526-528/5-11 odd,12,15,16,18

Thursday, March 13, 2008

Polar Coordinates

Polar coordinates are another way of locating points in space. You can do really cool things with them, especially when we look at complex numbers again.  Make sure you finish the classwork at home if it doesn't get done in class.  Make sure you use the correct book.

3/11  Intro to Polar Coordinates  (D 6.4 and 6.5, B 11-1)
           CW D p.515-516/3,5,7,15,21,29,51,55
           HW B p. 400-402/1-21 odd, 39

3/13  Converting Equations and Graphs
           CW D p.524/57, 58, 61, 63
           HW D p.523/5,7-13,16,45,49,65-67

3/14  Extra Practice and 3D (Spherical and Cylindrical Coords)
           CW/HW  Worksheet of problems

3/17  cis, Product of Complex Numbers (D 6.6, B 11-2 to 11-4)
           HW B p.406-407/10, 12, 15, 17, 24-31

3/18  Powers and Roots
           HW B p.410-411/4,5,9-14  and  p.413/5,6,8,11-13

3/20  Extra Complex Roots Problems
           HW finish worksheet

3/21  Good Friday - no school

3/24  Review of Polar

3/25  Polar Test  (MCAS schedule, class at 1:30 - 2:25)
           HW on Matrices review - posted later

Monday, March 03, 2008

Revising the schedule (and pointing out a typo)

Ceding to the pleading, I am moving the test to Friday (part 1 = 45 minutes of testing) and Monday (part 2 = 10 minutes of testing). This means we will start something new tomorrow. Finish the worksheet from today for homework. (Typo Note: In problem 4, Matt starts at (35, 50)).

Helpful calculator hints: For the Ferris wheel problems, put your calculator in Parametric mode, with Simultaneous (rather than Sequential). Also, in the Y= window, change the line type to the -0 so you can see where the rider is at each time t.