Finishing up the year

The schedule for the rest of the school year is as follows:

6/09 Review Day 1 (Functions, Polynomials, and Limits)
6/10 Review Day 2 (Trigonometry)
6/11 Review Day 3 (Vectors, Parametrics, Polar, and Conics)
6/14 Review Day 4 (Exponential and Log Functions, Matrices)

6/16 English Final 8am ForLang 2 Final 11am
6/17 SocStds Final 8am Math Final 11am
                                   in room 512 (F-Block) or 514 (H-Block)
6/18 Science Final 8am ForLang 1 Final 11am

6/21 Last Day of School
6/22 Get your grades

Sequences and Series

We are going to study our last topic of the year: Sequences and Series (Ch 13 in the Brown book). Below is the syllabus. We will be rushing to get all of the ideas in so don't get behind!

5/28 Explicit & Recursive Definitions; Geometric, Arithmetic Sequences
      HW pp.477-479/18-33 by 3's, 34, 37, 39, 43-45, 48-50, 53,56
      HW pp.481-485/1,2,11,12,13-17 odd,19,20,22,23,26,27,29,32-34

6/02 Finite and Infinite Series; Sigma Notation
      HW pp.508-510/9, 11, 25, 27, 39
      HW pp.489-492/10-13,17,19,27,29,35,39,41,44

6/04 Limits and Sums of Infinite Sequences and Series
      HW pp.496-498/3-33 by 3's, 34-36
      HW pp.502-505/9-21 odd, 29,31,33,37,38,41-43

6/07 Sequences and Series Quiz

Studying Conic Sections

We are starting the study of Conic Sections - figures created by cutting cones. Note: due to the half-day, the F-block section will be one class ahead until Memorial Day. That is why I am listing the assignments with day-on-topic rather than date. Homework will mostly be in Demana.

Day 1: Review of Ellipses (and Circles - the special ellipse)
HW p.622/623/3-30 by 3's, 42 (omit eccentricity)

Day 2: Review of Hyperbolas
HW p.632-634/3-36 by 3's, 45, 46, 48, 51-55 odd

Day 3: Parabolas
HW p.611-612/3-51 by 3's, 55, 58

Day 4: Focus-Directrix definition for all
HW B p.249/1-3, 9 and p.250-251/1-3,21,22 and D p.613/64-66

Day 5: Follow-up to Focus-Directrix work
HW finish handout

Day 6: Polar definition of conic sections
HW p.649-650/3-12 by 3's, 23, 27-43 odd

Day 7: Parametric definition of conic sections
HW finish handout

Day 8: Rotation of conic sections
Day 9: Review

5/27 F-Block Test
6/01 H-Block Test

Extra Complex Problems

On Friday we worked on a worksheet of extra Complex problems. They put together several ideas from all year. An answer key. can be downloaded though it is only answers, no hints. Ask me if you have questions. Remember, we are starting the study of Conic sections for one class before the Polar test on Wednesday.

Answer Key for May 6th Extra Problems

Today we had a worksheet dealing with extra problems with polar complex numbers and graphing. I am posting an answer key for the complex number questions. Typing up the answer key for the graphing was too tedious (and you have your calculator after all...). If you are taking an AP exam and cannot get to this by tomorrow, just get it done before the exam on Wednesday, May 12th.

cis - what is it, what is it for?

cis is a way of representing complex numbers in polar form. The math of complex numbers is actually much easier in polar form so we will spend several days playing with it. And then we have a test.

5/03 cis, Products and Quotients of Complex Numbers
       HW B p.406-407/10, 12, 15, 17, 24-31
5/05 Powers and Roots of Complex Numbers
       HW B p.410-411/4,5,9-14 and p.413/5,6,8,11-13

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