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people:mckenzie:math_108_hw

In bold is the date on which the assignment is given. Prepare the work shown and be ready to ask/answer questions the following class day.

WEEK 1

Do on pp. 31-32, Sec 1.1 and 1.2 problems.

Go to Practice worksheets and choose the one on radicals and rational exponents.

Read Sec 1.3 Finish up Sec 1.1 and 1.2 problems. Do all problems for Sec. 1.3, pp 32-33.

Read Sec 1.4 and view FACTORING VIDEOS:

WEEK 2

Study for quiz on Sections 1.1 to 1.3

Do all Sec 1.4 problems.

For Sec 1.5, view these videos along with reading the book – Operations on Rational Expressions:

Read Sec 1.5; do exercises pp 33-34 #1, 2, 3 a-i

and Ex 2

Do Sec 1.6 p 34 #1 a-m

Do p 58 completing the square #1 all, #2 all, #3 a-g

Read 2.1; do p 58 polynomial division #1 a-f

WEEK 3

Quiz 2: Factoring (special products, reverse FOIL, and grouping), simplifying a rational equation (state the restrictions on x at the end), solving a radical equation (don't forget to check your answer), solving a quadratic equation by completing the square.

Read Sec. 3.1 and 3.2. Look esp at the domain examples and comprehension checks.

Do pp 84-85 #1 a c d f, 4 all, 6 a b, 7, 9

Do p 85 2, 3 b d, 4, 6 a b, 7

Watch the videos:

Do Sec 3.4 pp 86-87 #1-5.

Extra practice worksheet on finding inverse functions (especially the second set on the page):

Quiz 3 on composition of fcns and their domain, finding the inverse of a fcn, showing a fcn is 1-1, using the definition (I'll leave an example on the board for that one, as I did on the first quiz).

Read Sec 3.3 and view: Even and odd functions

Do p 86 Sec 3.3 #1 a b c d, 2 all, 4, 5 a b, 7

Extra practice worksheets on Odd/Even/Neither:

Study for Exam 1. It covers Ch 1, Ch 2.1 and 2.2 and Ch 3.

Topics: simplifying, performing operations on exponents and radicals; same for rational expressions; factoring; completing a square with leading coeff NOT equal to 1; solving equations (quadratic, radical, rational); function domain (interval notation); operations on fcns, esp composition and resulting domain; identifying even, odd fcns by evaluating f(-x) and comparing to f(x); showing a fcn is one to one, long division of polynomials, finding inverse of a fcn.

WEEK 4

Study for Exam 1

Next Unit: Ch 4, Ch 5 and Ch 6

Do Sec 4.1, which is about basic functions, shifted left, right, up or down, stretched or compressed.

Do Sec 4.1 pp 110-111 #1, 4, 6, 7, 8

WEEK 5

Read Sec 4.2; do pp 111-112 #1a-o, 4, 6, 7, 8.

Study for Tuesday quiz on parent functions and rigid transformations.

Catch up on any Ch 4 problem sets and videos.

Read Sec 5.1: Understanding important features of polynomials in order to graph them.

View IMPORTANT video:

Do pp 150-151 #1-7

Do p 151 #8, 9.

Go back and view Rational root (zeroes) theorem

Do Sec 5.2 pp 151-152 #3-6, 8 a b e, 9, 10, 11 a b, 12 a c, 16-18

WEEK 6

MAKE SURE YOU HAVE DONE enough of SEC 5.2 problems to be able to do a multi-part problem on lines as we did today

Read Sec 5.3 (again, about roots of second degree polynomials, i.e., quadratic functions. Solving these is just like what we did in Sec 1.6. Check out My notes on quadratic equations, formula, and meaning of roots

Do p 153 #1, 2, 3

Read Sec 6.1. View Graphing a simple rational function

Do p 188 Sec 6.1 #2, 3

View Slant asymptotes

Read Sec 6.2-6.3; do Sec 6.2 pp 188-189, #3 a-d, 5 a b, 6 all

Sec 6.3 p 190, #1 a-e and Sec 6.4 pp 190-191 #1-4.

WEEK 7

Study for Exam 2,Chapters 4, 5, 6.

Graphing rational function practice 'quiz' to be desk-checked (not collected) on Monday !

WEEK 8

Go to Videos and view 'Solving quadratic and rational inequalities'

Do problems in Sec 7.1 p 215 #1 a-e, f, 2 a-c, e, 3 a-e, 6

WEEK 9

Using my notes Solving absolute value equations along with last set of videos:

Do Sec 7.2 p 215 #1, 2, 3, 5 a-h, 7, 8

Read Sec 7.3 and view the videos in conjunction with the reading.

Heads up: there will be a quiz on Ch 7 and 11 on either Thurs or Fri.

Do Sec 11.1 #1 a b d, 2 a, 4-6 all parts

Take home quiz handed out today, due tomorrow! The one linked here includes a question 3 b, which I deleted in the handout to fit whole quiz on one page. Tonight's reading and videos are topics on the quiz, so you do need to do this 'open book'.

Do Sec 11.2 #2 a d g h

Week 10

Do p 348 Sec 10.1 #1, 2, 3 and first three sections of questions on Solving exp and log equations

Even more practice on first set of questions on p 5 of Alternate text pdf

Study for short answer quiz based on first three sections of questions on the pdf Solving exp and log equations up through Exercise 6.

Do Sec 10.2 #1, 2, 3 a-g, 4, 7, 9, 10, 11

Continue with problems Sec 10.2 #18, 19 a 20 b 21 a b 22, 23

Finish the Sec 10.2 problems (we're caught up now).

Read Sec 2.4 and view videos on sigma notation, which I will post soon. Also read my summary of stigma notation and finding finite sums of a number sequence

View the following, noting that the lecturer is using 'k' for the index rather than 'i' (both are common letters for this process):

Here's a nice: Summary of sigma notation

Again, here are my notes on Sigma Notation

Do p 60 #4 a b e k j l #3 a b c Solutions are already posted on HW Solutions page for this section.

Study for Exam 3. Ch 7, 10, 11, and Sec 2.4

Week 11

Begin Trigonometry Unit. Read 8.1 and 8.2 CAREFULLY.

Weeks 12-16 Trigonometry Unit (HW over the Spring Break)

Using the video and examples in the book, do Sec 8.1 p 282 #1-6

View AGAIN as needed Basic sine and cosine functions

Do worksheets Trig worksheets:

Here are videos to help:

Circle art assignment

• On unlined paper (copy paper is good), draw a nice circle (use a jar lid or compass, a straight edge for the rays). It should be no less than 6 inches.
• Neatly mark off with a straight edge and label accurately the angles of 0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, 360.
• Next to each degree mark, write the pi radian equivalent, as discussed in class today.
• Use different colors to mark off the different fractions of pi. Some colors might overlap. Don't stress on that! Just make the thirds different than the fourths and the sixths.

The rest of the project will be explained on Thursday in class:

• In a corner, draw thumbnails of the five triangles. (Two of them look like line segments, the 0 and 90 degree base angle ones.) Label the sides with the appropriate 1,sq rt 3, sq rt 2.
• Next to that, fill in a small table of trig angles and sine, cosine and tangent ratios in quadrant I.

Do Sec 8.2 p 283 #1-10 and Sec 8.3 p 284 #1-5

Do worksheet Trig ratios of special angles, handed out on Friday.

Then do make your own Unit Circle, either on the back of your circle art or on another sheet. The radius is 1 unit, so the (x, y) coordinates become (cos theta, sin theta). Fill in the points on the circle (as begun in class).

Especially important this weekend, view Finding coordinates of the point on the unit circle where the terminal side of angle theta intersects the circle.

Read Sec 8.4 Do pp 284-285 #1-9.

Week 13

Know domains and ranges of sine, cosine and tangent functions. Be able to sketch these accurately.

do Sec 8.5 p 285 #2 a b d #3 a b #4 a b c

Have you viewed Graphing sine and cosine functions yet? Do so again before reading Graphing sine and cosine graphs and their transformations

Then view the series of videos by Patrick on graphing trigonometric transformations:

You may use your unit circles and notes, but not another person.

As done in class today, practice drawing small graphs of the following.

y = sin x on the closed interval [-pi/2, pi/2]

y = cos x on the closed interval [0, pi]

y = tan x on the closed interval [-pi/2, pi/2]

You've drawn each fcn restricted to the portion of the domain where its inverse is defined, where the function is one-to-one. To the left of each graph, draw its inverse. Notice the x-axis is now the ratio and the y-axis is the angle.

Do Sec 8.6 p 286 #1-6.

Week 14

More practice on Worksheet on evaluating inverse trig fcns Only do #1-30

Finish up inverse functions.

Read 8.7 and view Proving a trig identity Example 1 and Proving a trig identity Example 2

Do p 288 #3 and pages 1 and 2 of worksheet Basic trig identities

Read Sec 8.8. See two video discussions.

Do worksheet Double and half-angle identities

Week 15

Be sure to do the take-home quizzes for desk checks.

Print these for tomorrow:

Have questions prepared for any and all of the worksheets for me to go over tomorrow (Tuesday).

Exam 4 is on Thursday.