Matrices

We are going through an interesting exploration of the
uses of matrices - starting with a lightning review.

3/28 Linear Systems in 3D HW Worksheet of problems,
          read Demana 7.1 (pp.543-549)
3/29 Computer Lab Solving Systems using Row Operations Tool
          HW finish problems (see web site for link to tool)
3/31 Review of Matrices HW D pp.564-566/7-11,19,25,35,36,40,47,53
          and read Demana 7.3 (pp.567-575)
4/03 Augmented Matrices vs Matrix Equations HW D pp.565/43-45,49
          pp.577-579/16,21,31,35,43,59,61,69
4/04 Transformations of the Plane HW finish worksheet
4/05 More Linear Transformations and Determinants HW finish packet
4/07 Using Determinants HW problems listed in packet (see Note below)
4/10 Equation Practice HW B pp.526-7/14,15,17,22 & pp.534-6/1-25 odd
4/11 Communication Matrices
4/12 Matrix Test
4/13 No Class (Happy Pesach!)

4/14 - 4/23 April Vacation HW Enjoyment and rest

Note: The volume of a pyramid with a parallelogram for the base is
1/3 the value of the determinant of the prism. The volume of a pyramid
with a triangular base is 1/6 the value of the determinant.

Answer Key for last Friday's worksheet

The Word version of the answer key for last Friday's worksheet has been uploaded into the Class Worksheets folder in our class conference or you can download the pdf version here.

Complex Numbers and Polar form

Polar form can also be used to describe complex numbers in the
complex plane (Demana 6.6, Brown 11-2 through 11-4).

3/21 cis, product of complex numbers HW p./406-407/10,12,15,17,24-31
3/22 powers & roots HW p.410-1/4,5,9-14 & p.413/5,6,8,11-13
3/24 extra practice and review
3/27 Polar Test

Polar Coordinates

Polar coordinates are covered in Demana 6.4 and 6.5, Brown 11-1.

3/15 Intro, converting to rectangular
        CW D p.515-6/3,5,7,15,21,29,51,55; HW B p.400-2/1-21 odd, 39
3/17 Converting equations, graphs
        CW D p.524/57, 58, 61, 63 HW D p.523/5,7-13,16,45,49,65-67
3/20 Extra practice, 3D
        CW/HW Worksheet of problems including 3D Application problems

After this we will do complex numbers (again)
[Demana 6.6, Brown 11-2 to 11-4] and have a test on Monday, March 27th.

More excitement with 3D

We did the cross product and a convenient way to find the vector
perpendicular to two vectors (and the equation of the plane they
form and the area of the parallelogram they form). You will also
have a worksheet of 3D parametric equations. Have all vector and
parametric homework completed by Monday.

3/08 HW B p.467/4,7,8,11,13,15b-d,16
3/10 HW finish worksheet of problems
3/13 HW Check
3/14 Test of Vectors and Parametrics

Equations of vectors and planes in space

Today we had the plane and segment in space. Finish
that worksheet for homework and be ready to explain
your answers on Tuesday.

I will be doing some explaining on Tuesday as well.
The homework is that which was listed on the board today.

3/7 HW Brown: p.451-452/31-38, 40, 41
                       p.455-457/15, 19, 29, 35, 37

Parametric Free Fall

Free fall involves gravity, an initial velocity and an initial height.
Classwork (finish at home if necessary): Brown p. 437/24,34,38,39
Homework : Demana p.507-508/3,24 by 3's, 34, 40

We will finish the course placement discussions on Monday.

3D!

Moving into the third dimension. Section 12-5 in Brown.

HW p.450-452/3,10,12,13,15,21,27,43-45