Precalculus II

Mathematics 142 winter 2011

10:00–10:50 a.m. M T W Th F in room CC 3453

instructor: Ralph Jenne, phone & voice mail: (206) 528-4512

office: IB 2423 A, office hours: 11–12 T Th F, 2–3 M W

email: rjenne@sccd.ctc.edu, fax: (206) 527-3748

website URL: http://facweb.northseattle.edu/rjenne

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Welcome to Precalculus II

This course is the second half of a two-quarter precalculus sequence. The focus of this course is the development of trigonometry from the unit circle point of view. Exponential and logarithmic functions and their applications to constant percentage rate growth problems will be a second focus. Other topics include polar graphs, conic section equations (for the parabola, ellipse, and hyperbola), using augmented matrices to solve linear systems, arithmetic and geometric sequences, mathematical induction, and the binomial theorem.

This course will make more sense if you can read or at least browse through the relevant sections of the book before each class. Generally we’ll cover a section of the book in one to two days.

Keeping up with the new concepts through homework exercises is essential to success in the course. I will frequently collect homework exercises handed out in class, but will not usually collect homework exercises from the book. We will spend class time discussing the the book exercises, and you need to do the book exercises to learn the material well. There will be occasional quizzes as well.

I’m planning to give three tests and a final exam. Some of the tests may have a take-home part. There will be an opportunity to make-up one test by the way I score the final exam. I look at each section of the comprehensive final (a test one part , a test two part , etc. ) and look to see on which section you have improved the most. If you have, for example, improved the most on the test two part of the final exam, then the score on the test two portion of the final replaces your original test two score. Of course, if the final exam scores are all lower, your original test scores are left unchanged.

what you’ll need

book: “Precalculus, Concepts Through Functions, A Right Angle Approach To Trigonometry”, 2nd edition, by Michael Sullivan & Michael Sullivan III, Prentice Hall, 2010

prerequisite: completion of Precalculus I (Mathematics 141)

calculator: You will need a scientific calculator. Graphing calculators are not required.

please turn off the sound on all cellphones, pagers, etc. during class

grades

The course grade is determined by contributions from

Your percentage corresponds to decimal grades according to the scale

93% and up3.9 or 4.0*
90% 3.8
80% 3.0
70% 2.0
60% 1.0
50% 0.7
under 50% 0.0 or NC

* A course percentage of at least 93%,

and a score of at least 90% on each test

earns a 4.0.

Other grades are linearly interpolated. For example, a score of 85% corresponds to a grade of 3.4.

test dates

test 1 Tuesday, January 25
test 2 Wednesday, February 16
test 3 Monday, March 14

final exam

Tuesday, March 22

10:30 a.m. – 12:30 p.m.

course outline

naturally the schedule is approximate

Trigonometry

Tue Jan 4

geometry review

Wed Jan 5

introduction

radian measure of angles

5.1

3–5, 13, 15, 17, 21, 25, 31, 35, 38, 41, 43, 49, 57, 61, 67, 71, 75, 79, 83, 99, 105

Thu Jan 6

right triangle trigonometry

5.2

1, 3–10, 11, 15, 17, 21, 23, 25, 27, 29, 37, 39, 41, 47, 53, 55, 68

Fri Jan 7

right triangle trig applications

7.1

2. 3. 5. 9. 11. 15. 19, 23, 25, 29, 31, 35, 37, 39

Mon Jan 10

exact values

5.3

1–27 odd, 33, 39, 41, 71, 81

Tue Jan 11

trigonometric functions of any angle

5.4

1–10, 11, 13, 15, 19, 21, 23, 27, 31, 33–39 odd, 41, 45, 51, 57, 59, 63, 67, 73, 80, 83, 85, 97, 101, 107, 109

Wed Jan 12

law of sines

7.2

1, 2, 6, 7, 8, 9, 11, 15, 17, 21, 25, 29, 37, 41, 47, 50

Thu Jan 13

law of cosines

7.3

1, 3–8, 9, 11, 15, 17, 21, 27, 33, 37, 43, 45, 49

Fri Jan 14

Tue Jan 18

unit circle definition of trig functions

5.5

1, 3, 4–8, 9, 11, 13, 15, 17, 19, 21, 23, 23, 27, 31, 33, 35, 37, 39, 41, 45, 49, 53, 55, 57, 61–78, 83, 85

Tue Jan 18

Wed Jan 19

graphs of sine and cosine

5.6

3–10, 11–33 odd, 35, 37, 43, 47, 49, 53, 56, 59, 63, 67, 71, 75, 85

Thu Jan 20

graphs of other trig functions

5.7

3–16, 17, 19, 23, 27, 29, 37, 49a, 51

Fri Jan 21

trig graphs with shifts

5.8

3, 5, 7, 13, 15, 17, 29, 21, 27

Mon Jan 24

review

Tue Jan 25

test one

Wed Jan 26

Thu Jan 27

inverse trig functions

6.1
6.2

Fri Jan 28

Mon Jan 31

trig equations

6.3

Mon Jan 31

Tue Feb 1

trig identities

6.4

Wed Feb 2

Thu Feb 3

angle sum and difference formulae

6.5

Thu Feb 3

Fri Feb 4

double- & half-angle formulae

6.6

Mon Feb 7

Tue Feb 8

polar coordinates

8.1

Tue Feb 8

Wed Feb 9

polar graphs

8.2

Conic Sections

Thu Feb 10

the parabola

9.2

Fri Feb 11

the ellipse

9.3

Mon Feb 14

the hyperbola

9.4

Tue Feb 15

review

Wed Feb 16

test two

Linear Equation Systems, Matrices, & Nonlinear Systems

Thu Feb 17

solving linear equation systems with substitution and elimination

10.1

Fri Feb 18

Tue Feb 22

using augmented matrices to solve linear systems

10.2

Wed Feb 23

non-linear systems

10.6

Exponential and Logarithmic Functions

Thu Feb 24

exponential functions

4.3

Fri Feb 25

logarithmic functions

4.4

Mon Feb 28

Tue Mar 1

logarithm properties

4.5

Tue Mar 1

Wed Mar 2

exponential & logarithmic equations

4.6

Thu Mar 3

compound interest

4.7

Fri Mar 4

exponential growth

4.8

Sequences, Induction, & the Binomial Theorem

Mon Mar 7

sequences

11.1

Tue Mar 8

arithmetic sequences

11.2

Wed Mar 9

Thu Mar 10

geometric sequences & series

11.3

Fri Mar 11

review

Mon Mar 14

test three

Tue Mar 15

Wed Mar 16

mathematical induction

11.4

Thu Mar 17

binomial theorem

11.5

Fri Mar 18

review

Tue Mar 22

final exam

10:30 –12:30