Final Info

Remember, don't be tired, hungry or sluggish. Get a good night's sleep, eat breakfast and/or lunch and move around before the test. You will feel better and your brain will work better.

The exam is at 11am on Friday, June 17th. Don't get there at 11:05. It will add to your stress.

E-Block in room 710
G-Block in room 712

You may have a calculator and pencil/eraser but no notes. Please bring back your books (if you remember). Next year's BC Calculus students will need to get a book for the summer.

Download a list of proofs and theorems from the year here.

Review Days with Answer Keys

6/09  Review Day 1: Functions, Polynomials, Limits key
6/10  Review Day 2: Trig key

6/13  Review Day 3: Vectors, Parametrics, Polar, Conics key
6/14  Review Day 4: Exponential & Log Functions, Matrices key

Last Unit

A quick unit on Sequences and Series. All the homework is in the Brown book (Ch 13). Dates

6/01 or 6/02  Explicit & Recursive; Geometric, Arithmatic, Harmonic 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

6/03  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

6/06  Limits and Sums of Infinite Sequences and Series, Practice (answer key)
          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  Sequence and Series Quiz

Conics Review Answer Key

Download the Answer Key here.

Conics, Sequences&Series, Review (the rest of the year)

We don't have much time so the last two units are done very quickly with little in the way of extensions. The dates are for G-Block. E-Block loses a day on Conic Sections because of MCAS.
Conic Sections are covered in Ch 8 of the Demana book and Ch 6 of the Brown book.

5/17  Circles and Ellipses
           HW D p.599-600/3-36 by 3's,46,53 (omit eccentricity) and B p.249/9
5/19  Hyperbolas
           HW D p.609-610/3-36 by 3's, 51,52,54,55,59,61
5/20  Parabolas
           HW D p.587-588/3-42 by 3's, 49-55 odd,59,61

5/23  Focus-Directrix Definitions for all conics
           HW B p.249/1-3; p.250-251/1-3,21,22 and D p.590/74-76
5/24  Parametric Definitions for all conics
           HW finish handout
5/26  Solving Quadratic Systems, Rotating Conics (may be skipped for E-Block)
           HW finish handout plus B p.245/18,20,22-24; p.251/15-19 odd
5/27  Review
           HW finish handout

5/30  Memorial Day
5/31  Conics Test
6/02  Sequences
6/03  Series

6/06  Practice
6/07  Sequence and Series Quiz
6/09  Review Day 1: Functions, Polynomials, Limits
6/10  Review Day 2: Trig

6/13  Review Day 3: Vectors, Parametrics, Polar, Conics
6/14  Review Day 4: Exponential & Log Functions, Matrices

There are many old tests and finals available online for you to use as practice for the final. Be ready so you won't be nervous.

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

Answer Key for Extension Problems

Here is the the answer key for the extension problems given in class.

You can email tonight if you have more questions.

Trig Identities

Lots of Proofs this unit! We start with simplifying practice and then jump in.

Note: We will be using the Demana book for most, but not all, of the assignments.

2/11  Trig Identity basics
          HW D p.410-411/3-60 by 3's, 69-73 odd

2/14  Simplifying for a solution
          HW D p.411-412/52-62, 75-82, 85
2/15  Proving Trig Identities
          HW D p.418/11-39 odd
2/16  More Practice
          HW D p.419-420/41-51 odd, 52-60, 71, 80
2/18  Sum and Difference Formulas

2/19 - 2/27 February Vacation

2/28  Review all, More with Sum and Difference Formulas
          HW D p.425-427/3,5,7,13,17,21,27,29,31-35,37,43,45,47,48,52,55,73
3/01  Double Angle, Half Angle and Power Reducing Formulas
          CW B p.374/39-41, p.385/45-47
          HW D p.432/3-30 by 3's, 39-45 odd, 53
3/02  Review and Extension Problems  CW Worksheet
          HW B p.384-385/37,51,52,53 and p.390-391/23,26-28,43,44
3/04  Trig Identities Test

The plan until the test of Geometric Trig

You will be working through the following Mixed Trig problems, in class and at home, and then we will have a test.

Mixed Trig Problems: p.356-358/11,14,18,21,24,25,29-35,37-40,42

You also need to do the Hero's Formula derivation.

The Geometric Trig test will have questions that require a full understanding of the trig area formula, the Law of Sines, and the Law of Cosines. There will be one problem (chosen by me) from the "C" problems on page 358. I have not assigned every problem in the unit but notice that after you finish these problems you should be able to find the area, the sides, the angles, the length of the median/angle bisector/altitude, and the radii of the inscribed and circumscribed circles for any triangle - among other things.

2/09 Test for E-Block
2/10 Test for G-Block

We may have to change the dates of the test for various reasons (weather, lack of progress on the problems, other unforeseen difficulties) but that is what we are aiming for.

Homework on the snow day

Sorry but we are behind the other Honors Advanced Math classes and these problems are just continuations of what we were doing before (no instruction necessary!). This will also bring both classes into alignment for the schedule.

9.1, 9.4  Mixed Trig Problems
            HW p.337-338/31-33, 37  and  p.356-358/11,14,18,21,24,25,29,34

Geometric Trig

Post-test homework was to do the area and identity worksheet. We continue with the more geometric applications of trigonometry. For this we will use primarily the Brown book.

1/26  9.2  Area Formula and applications
            HW p.342-344/1-19 odd, 20-22, 35, 36
            (p.344/34 is a bonus problem - turn it in for extra credit)
1/27  Snow Day This puts G-Block a day behind E-Block.
1/28  9.3  Law of Sines for E-Block, More Area for G-Block
            HW p.347-349/1-27 odd

1/31  9.4  Law of Cosines
            HW p.352-354/1-17 odd, 22
2/01  9.1, 9.4  Mixed Trig Problems
            HW p.337-338/31-33, 37  and  p.356-358/11,14,18,21,24,25,29,34

Snow day and the adjustment of the schedule

Given that there is no opportunity for asking questions before our Ch 4 test due to the snow day, the test will move to Tuesday, January 25th for both sections.

You are all highly recommended to practice sinusoids (writing equations from information in particular) as that seems to be a weakness from your quizzes. Problems in Brown have been assigned to the G-Block class. There are more that weren't assigned. Do what you need to do.

The review sheet that was to be handed out to E-Block today is available for download here. The answer key is available in the previous post.

More Sinusoids

We are working our way towards a quiz on sinusoids, then finishing the chapter for a test.

1/04 Trig Evaluation Practice and Extra Problems
           HW finish problems 1-18 of Extra Problems worksheet
1/05 Discuss Extra Problems Worksheet
           HW finish Extra Problems worksheet
1/07 Solving with Sinusoids  CW 1-5
           HW 1-4

1/10 Continue Solving with Sinusoids
           HW finish rest of handout
1/11 Quiz of 4.1-4.4
1/12 Snow Day; G-Block will be 1 day ahead
1/13 Professional Developement - Half Day (B A G F)
1/14 Graphs of the other Trig functions and Inverse Trig functions
           HW p.366-368/13-16,18-39 by 3's,43,60,63,64 and p.385/37-40

1/17 Martin Luther King Day - no school
1/18 G-Block: Review;  E-Block: Snow Dismissal
1/19 E-Block: Inverse Trig Functions
           HW finish handout plus p.385/47,49,51
1/20 G-Block: Extra Sinusoid Problems
           HW in Brown: p.306-307/30,31,33,36 and p.314-316/15,17,18,21,25,26
1/21 End of Term 2, G-Block: Area of Triangles;  E-Block: Review of Chapter  answer key

1/24 Test of Ch 4