Parametric, Cylindrical and Spherical

4/29  Parametric Equations  HW Worksheet
4/30  Cylindrical & Spherical Coordinates  HW Worksheet

Polar Coordinates

This is a quick but interesting chapter on another way of describing the location of points in space.  Sections 6.4-6.5 in Demana, chapter 11 in Brown.

4/26-7  Intro to Polar  CW Brown p.400-402/1-21 odd, 39
            HW Demana p.515-516/3,5,7,15,21,29,51,55
4/28     Converting equations and graphs (polar <-> rectangular)
            CW D p.524/57,58,61,63    HW D p.523/5,7-13,16,45,49,65-67
4/29     Parametrics 2D & 3D
4/30     Spherical and Cylindrical Coordinates

5/03-4  Polar Coordinates and Complex Numbers (cis)
5/05     Complex Powers and Roots
5/06     Review
5/07     Extra Practice  (day of AP US History test)

5/10-1  Start Conic Sections (5/11 is the day of the AP Chemistry test)
5/12     Polar Test

5/13     Half-Day (C A G F)

Review Answer Key

The answer key for the review portion of the handout is available to download here. For a summary of determinants, download this.

The matrix of dates unto vacation

The rest of the schedule for matrices covers two days when I will be out.

3/31 Applications of matrices to linear systems
        HW handout includes 6 problems and these Demana problems:
              p.578/59-62,65,66,68,70,71 and p.585/13,15,21
4/01 Transformations Day 1 HW p.1-4 of handout
4/02 Good Friday - no school

4/05 Transformations Day 2 HW p.5-7 of handout
4/07 3D Matrix Apps HW do all of handout (I will be out.)
4/08 Determinants with vectors HW handout problems 1-7
4/09 Determinants in 3D HW handout problems 8-12

4/12 Determinant summary, Review HW handout
4/14 Markov Chains (probability with matrices)
        HW finish handout plus B p.547-550/5,9-11,14-17
4/15 Matrix Test (I will be out, Mr. Verner will be in.)
4/16 Communication Matrices CW B p.540-542/3,5,7,9-13

4/17 - 4/25 April Vacation

Matrices

We will be moving through matrices quickly.  It is chapter 7 in Demana and ch 14 in Brown.  Both are useful.

The first two days will involve reviewing everything you learned about matrices in Algebra 2 and extending your thinking about that learning.  Then we go into the new and cool stuff that you can do.

3/26  Alg 2 Review day  
          HW B p.521-522/9,11-13,16;  p.526-528/5-11 odd,12,15,16,18
               D p.565-566/33-39 odd, 43, 45, 48, 55

3/29  More Matrix Multiplication, Augmented Matrices, etc.
         HW handouts

The end of vectors

The last bit of vectors involves a worksheet of extension and review problems. We will work on these in class but you should also be working on them at home. The problems are not trivial and anything like them may be on the upcoming test. The handout was begun on Friday, March 19th. Keep going. Bring any questions to class.

3/22 F-block 11:50
3/23 H-Block 12:30 (Day 1 of MCAS)
3/24 F-Block 1:35, no H-Block (Day 2 of MCAS)
3/25 Vector Test F-Block 1:30, H-Block 12:30 (Day 3 of MCAS)
3/26 Matrix review (back to regular schedule)

The beginning of vectors

We are starting to look at vectors, line segments with direction. We will be using both books (Ch 6 in Demana, Ch 12 in Brown) so be careful when writing down the assignments.  (Note: The dates reference F-Block.  H-Block started this on Friday 3/05 and will have their Trig Identities Test on 3/09.  I hope all went will with the National French Exam!)

3/08  Intro to Vectors (D: 6.1 and B: 12.1)
        HW  D p.488/3-27 by 3's, 29-39 odd  and  B p.423, 425/5-7, 17-20
3/10  Angle between vectors and the Dot Product (B: 12.4)
        HW  B p.444-445/1-19 odd, 23, 27-29
3/11  Vector Proofs   CW Worksheet (D: 6.1 and B: 12.1, 12.2)
        HW  B p.425-6/21-23 and
                  p.429-432/11, 12, 15, 18, 27-29, 33, 34
3/12  Vector Equations of Lines, Vectors in 3D
        HW  finish worksheet of problems plus
               B p.436-437/17, 18, 23 and D p.490/57, 58
               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).

3/15  Equations of Planes, Vectors Perpendicular to Planes (B:12.5)
        HW  B p.451/10, 12, 12, 15, 21, 25-28, 32, 38
              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!)
3/17  Vectors and Planes, Angles between Planes (B: 12.5, 12.6)
        HW B p.452/43-45  and  p.455-457/9-21 odd, 28-31, 33
3/18  The Cross Product
        HW p.456-458/21,25,27,34,35,37-39  plus
        Vector Cross Product worksheet
3/19  Projections, Uses of the Cross Product, Extensions
        HW Work on worksheet

Moving along with identities

Identities are important for solving problems as they allow for key simplifying substitutions.  You have to know the basic ones (cofunction, reciprocal, Pythagorean, etc.). You have to be able to prove (or disprove) others.

2/11 read Demana section 5.1, do p.430/1-29 odd

2/22  5.1  Review Basic Identities  CW p.430/31-38  
                 HW p.430-431/39-59 odd
2/24  5.2  Proving Trig Identities  CW p.431/67, 69-72  
                 HW p.437-8/7-35 odd
2/25  5.2  More Practice Proving Identities  CW p.438/34,36,44
                HW p.438/37-47 odd,48,59,61
2/26  5.3  Sum & Difference Formulas  
                 HW p.444/1-29 odd, 31-34, tan(A + B), tan(A - B)

3/01  5.3  More Proofs of cos(A + B), Double Angle Formulas
                HW p.444-445/33-43 odd, 44,47,49,52,55,60,63-65,67
3/03  5.4  Half Angle Formulas  CW Brown p.384-385/37,45,46,51
                HW p.451-452/5-47 odd
3/04  Review  (Half Day C B H F)
3/05  Test of Trig Identities

Dealing with the snow day

Since we, obviously, cannot have a test on a snow day, the test will be rescheduled for the 11th. A solution key for the extension problems is downloadable here

The schedule up to February Break

2/05 Post-Quiz HW Brown p.338/41 and p.357-358/25-28,31,32,36,41
2/08 Review and Extension Problems
2/10 Geometric and Inverse Trig Test
        HW read Demana section 5.1; do p.430/1-29 odd
2/11 Basic Trig Identities CW p.430/31-38 HW p.430-431/39-55 odd
2/12 Finish Basic Trig Identities CW p.431/57, 59, 67, 69-72

2/13 - 2/21 February Break!