Tuesday, October 22, 2013

Polynomials

We are back in the Demana book with Chapter 2: Polynomials. The beginning of the polynomial chapter is mostly review - and then it gets complex (literally!).  The chapter includes how complex numbers relate to polynomial functions.  We will be spending a couple of weeks on polynomials and complex numbers.  Quick, skill-based check-in quizzes could happen at any time after the first three days of basic instruction so stay on top of your homework.

I may give homework problems on complex zeros from the old edition of the book which used to take two sections to cover the material.  I like some of the problems that were deleted in the new edition so you may be given copies of the pages.

I will be out on November 7th and 8th so I may change the schedule a bit.  Check back.

10/23  2.1 and 2.3  Linear, Quadratic and Higher Degree Polynomial facts
           HW p.77/48,50,52 and p.169,173/11-17 odd, 81-84  and  HW p.193-195/3,5,18,21,24,45,47,75
10/25  2.4  Real Zeros of Polynomial Functions
           HW p.205-209/13-31 odd, 49, 53, 76-79

10/28  More problems from 2.3 and 2.4 plus LCM and GCF (alternative method for GCF)
           HW Finish handout plus p.195-196/77 - 83 odd, 84
10/29  2.5  Complex Numbers
           HW 2.5/Quick Review 8,10 and Exercises 6-8,14-16,23,24,26,27,31,32,33-39 odd
10/30  2.5  More with Complex Numbers
           HW 2.5/Exercises 41-44, 45-53 odd, 59, 60, 62
11/01  2.5  Complex Zeros of Polynomials  End of Term 1
           HW 2.6/Exercises 3-39 by 3's, 46, 51, 53, 57

11/04  Extra Complex Problems
           HW work through packet, answer key for 1-10 are here
11/05  Go over Complex Conjugates Proof; Finding Equations of Polynomials
           HW finish handout
11/06  More Polynomial Problems
           HW finish packet, answer key is here
11/08  Test of Polynomials (practice test and solutions)

Looking forward:
The rest of the chapter is on Rational Functions (fractions with polynomial numerators and denominators) which will end in a quiz or test.

11/11  Veterans' Day
11/21  Professional Development Day - no school
11/28  Thanksgiving

Wednesday, October 9, 2013

Sequences, Series and Inductive Proof

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

10/09   Explicit & Recursive; Geometric, Arithmatic, Harmonic Sequences
            HW pp.477-479/18-33 by 3's, 34, 37, 39, 44, 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
10/11  Ch 1 Functions and Transformations Test

10/14  Columbus Day - no school
10/15  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
10/16  Limits and Sums of Infinite Sequences and Series
           HW pp.496-498/3-33 by 3's, 34-36 (skip 18 and 27)
           HW pp.502-505/9-21 odd, 29, 31, 33, 37, 38, 47, 48
10/18  Proof by Induction
           HW p.513-514/1, 3, 5, 6, 8, 11, 13-16, 19, 22, 24, 25

10/21  More Proof by Induction and General Review
10/22  Sequence and Series Quiz