Final work

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

6/02  Sequences and Series Test (review answer key posted in First Class)
6/03  MCAS (Hr  G  H  E)  no class
6/04  MCAS (E  F  A  D)  no class
6/05  Review Day 1  (Functions, Polynomials, and Limits)
6/06  Review Day 2  (Trigonometry)

6/09  Review Day 3  (Vectors, Parametrics, Polar, and Conics)
6/10  Review Day 4  (Exponential and Log Functions, Matrices)
6/11  English Final 8am   Science Final 11am
6/12  ForLang 1 Final 8am    Math Final 11am in room 710
6/13  SocStds Final 8am  ForLang 2 Final 11am

6/16  Last Day of School  (BC students get Calculus books)
6/17  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.  I expect to give you time to start all of the homework problems in class and some of them may become assigned classwork.

5/19 Explicit Definitions; Geometric, Arithmetic Sequences
          HW pp.477-479/18-33 by 3's, 34, 37, 39, 43-45, 48-50, 53,56

5/20 Recursive Definitions of Sequences
          CW pp.481/1,2,11,12,13-17 odd
          HW pp.481-485/19,20,22,23,26,27,29,32-34

5/23 Finite and Infinite Series; Sigma Notation
          CW pp.508-510/9,11,25,27,39
          HW pp.489-492/10-13,17,19,27,29,35,39,41,44

5/27 Limits of Infinite Sequences and Series
          HW pp.496-498/3-33 by 3's, 34-36

5/29 Sums of Infinite Series
          HW pp.502-505/9-21 odd, 29,31,33,37,38,41-43

5/30 Extra Problems

6/02 Sequences and Series Test

Review Answer Key

The answer key, such as it is, has been uploaded in the FirstClass conference in both Word and pdf formats.  I can't promise I didn't make mistakes but that kind of discussion is what the conference is for. ;-)

Conic Sections (Cutting Cones and Quadratic Relations)

Note:  This is a final revised syllabus (it won't be revised again).

Quadratic Relations usually are not functions, but they are symmetric and interesting. Of course they can be challenging because they can be transformed just like functions (translations, dilations, rotations) and there is a lot of vocabulary.  

Here is the proposed syllabus:
4/28  Intro to Quadratic Relations   HW finish Circle Worksheet
4/29  Algebraic and Geometric Ellipses
        HW D p.622-623/3-30 by 3's, 42 (omit eccentricity)
5/01  Rotated Ellipses and Parametric Ellipses  HW Rotation Worksheet
5/02  Algebraic Hyperbolas
        HW D p.632-633/3-36 by 3's, 51 (omit eccentricity)

5/05  Geometric Hyperbolas  HW D p.633-634/48-50, 52-55, 61
5/06  Parabolas  HW D p.611-612/3-51 by 3's, 55, 58
5/08  Conics through Parametrics  HW Parametrics     Half Day C B G F
5/09  More on Quadratic Relations  HW finish worksheet plus
        Brown read pp.242-244, do p.245/18,20,22,23,24

5/12  Focus/Directrix Defn and Eccentricity  HW D p.641/13-19 odd, 33-36
5/13  3D Quadric Surfaces
        HW p.818-819/1-7,12-14,17,19-29 odd (identify only),56,59-63
5/15  Review
5/16  Conics Test

Other Important May Dates:
5/17  Junior Prom
5/21  Math MCAS (Sophomores)
5/22  Math MCAS (Sophomores)
5/23  US History MCAS (Juniors)
5/26  Memorial Day

Finishing up matrices

We finished up the matrix unit with some homework from the Brown book. Markov chains came before the test, Communication matrices came after.

4/14  Transition matrices and Markov Chains.
           HW finish handout and do p.547-550/5, 9-11, 14-17

4/17  Matrix Test

4/18  Communication Matrices
           CW (before vacation) p.540-542/3, 5, 7, and 9–13

The homework for the rest of the Matrix unit

The Transformations and Determinants parts of this unit are mostly handout based.  Here is the homework:

4/03  Transformations of the plane pages 1-4
4/04  Transformations of the plane pages 5-7

4/07  Transformation Matrices in 3D problems 1-6
4/08  Determinants problems 1-8
4/10  Determinants problems 9-20
4/11  Determinant summary all problems

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

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

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