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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

Tues-Wed Jan 16-17 Read Sec 1.1-1.2; do Comprehension Checks throughout the reading.

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.

Thurs-weekend Jan 18-20 Read Sec 1.3 Finish up Sec 1.1 and 1.2 problems. Do all problems for Sec. 1.3, pp 32-33.

WEEK 2

Mon Jan 22 NEW CLASSROOM FOR ALL DAYS: LH 13 starting tomorrow, Tuesday,.

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:

Tues-Wed Jan 23-24 Read Sec 1.5; do exercises pp 33-34 #1, 2, 3 a-i

and Ex 2

Thurs Jan 25 Do Sec 1.6 p 34 #1 a-m

Fri-Weekend Jan 26-28 View Completing the square to solve an equation: Ex 1 and Completing the square to solve an equation: Ex 2

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

Mon Jan 29 Study for 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

Tues-Wed Jan 30-31 Read Sec 3.3 and 3.4

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

Watch the videos:

Thurs Feb 1 Read Sec 3.4 and view:

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

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

Study for 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).

Fri-Sun Feb 2-4 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, on Tuesday Feb 6! 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

Mon Feb 5 Study for Exam 1

Tues-Wed Feb 6-7 Next Unit: Ch 4, Ch 5 and Ch 6

Snow day interruption

Fri-Sun Feb 9-11 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

Mon Feb 12 Read Sec 4.2; do pp 111-112 #1a-o, 4, 6, 7, 8.

Study for Tuesday quiz on parent functions and rigid transformations.

Tues-Wed Feb 13-14 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

Thurs Feb 15 Do p 151 #8, 9.

Fri-Sun Feb 16-18 Here is Quiz 5, Take-home quiz on polynomial graphing

I. On Friday we looked again at Sec 5.1, drawing on the fundamental theorem of algebra, that relating to factoring polynomials. We found out how to write the set of possible rational roots of a polynomial (as opposed to irrational roots like those we often see when we resort to the quadratic formula).

Go back and view Rational root (zeroes) theorem

and examples:

II. The topic of lines (Sec 5.2) is largely a prerequisite of Math 108, so we don't spend more than a half hour on it all told. The solutions are posted, but again, here again are the videos and problems:

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

Mon Feb 19

I. 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

II. 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

III. Read Sec 6.1. View Graphing a simple rational function

Tues-Wed Feb 20-21

I. Catch up on anything you have not finished from Ch 5.

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

Thurs Feb 22 Sec 6.3 p 190, #1 a-e and Sec 6.4 pp 190-191 #1-4.

WEEK 7

Fri-Mon Feb 23-26 Study for Exam 2, Tues, Feb 27, Chapters 4, 5, 6.

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

Study for Exam 2, Feb 27.

WEEK 8

Feb 28-March 8 This is the period of both the break and two snow days, so please take note of reading and videos, as well as any problem sets you must stay on top of over the coming weekend.

Thurs March 8 Read Sec 7.1

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

Fri-Sun March 9-11 Do problems in Sec 7.1 p 215 #1 a-e, f, 2 a-c, e, 3 a-e, 6

WEEK 9

Mon March 12 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.

Tues-Wed March 13-14 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

Thurs March 15 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

Mon March 19 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

Tues-Wed March 20-21 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

Thurs March 22 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

Fri-Sun Mar 23-25 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

Mon-Thurs Mar 26-29 Exam 3: Study for it, take it, go over it.

HOMEWORK FOR SPRING BREAK

Mon-Sun April 2-April 8 :!: Begin Trigonometry Unit. Read 8.1 and 8.2 CAREFULLY.

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

Mon April 9

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

Tues-Wed April 10-11 Do worksheets Trig worksheets:

Here are videos to help:

For Friday, to hand in: 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.

Thurs April 12 Especially important tonight, please view:

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

Fri-Sun April 13-15 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

Mon-Tues April 16-17 View UNWINDING THE UNIT CIRCLE TO GRAPH TRIG FUNCTIONS

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

Thurs April 19 I hope you took the initiative to start Sec 8.5 problems. If not, please 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:

Fri-Sun April 20-22 Take-home, trig quiz 2.

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

Mon-Tues April 23-24 More practice on Worksheet on evaluating inverse trig fcns Only do #1-30

Tues-Wed April 24-25 Finish up inverse functions.

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

Thurs April 26 Do p 288 #3 and pages 1 and 2 of worksheet Basic trig identities

Read Sec 8.8. See two video discussions.

Friday April 27 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.