**Problem of the Week**

**Math Club**

**DST and GT Day**

**Number Theory Conf.**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

people:mckenzie:math_108_hw

Chapter 3 textbook scan part 1 and part 2

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.

**Thurs Aug 24** Read Sec 1.1-1.2; do Comprehension Checks throughout the reading.

**Fri Aug 25** Do Sec 1.1 and 1.2 problems; study for short Monday quiz the material from these sections.

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

To help you view Simplifying radicals with constants only and With variables

**Mon Aug 28** Read Sec 1.3-1.4; do Sec 1.3 problems

**Tues Aug 29** Do Sec 1.4 problems. See VIDEOS for insights and examples. Extra practice on the Factoring worksheet and Factoring special products worksheet

Read Sec 1.5.

**Thurs Aug 31** Do exercises pp 33-34 #1, 2, 3 a-i

Mini-quiz tomorrow on factoring!

**Friday Sept 1** See HW solutions posted for Sec 1.6.

Don't forget to do the Comprehension Checks and study the Examples within the reading every day.

Go to Extra Practice Worksheets and do the ones for Rational Equations and Radical Equations. These worksheets use many different variables, but the algorithms are the same.

Read Sec 2.2 (skipping 2.1 for now).

View Solving a quadratic by method of completing the square, Ex 1 (leading coeff = 1)

and Solving a quadratic by completing the square, Ex 2 (leading coeff not equal to 1)

**Tues Sept 5** Do Sec 2.2 #1, 2, 3, but see instruction for #3:

If you need to, view again: Solving a quadratic by method of completing the square, Ex 1 (leading coeff = 1), Solving a quadratic by completing the square, Ex 2 (leading coeff not equal to 1)

as well as Using the quadratic formula.

Quiz on Friday–two questions

1. Solve a radical equation in Sec 1.6 like #1 j, k or l (you need to check the solutions)

2. Revised problems to study for the quiz: #1-10 type in Worksheet for completing the square and solving for x.

**Thurs Sept 7** Note the revised HW of Tuesday.

Study for Friday's quiz.

Read Sec 5.3 and view by Solving quadratic equations by factoring, by completing the square and by using the quadratic formula.

Today's notes on quadratic equations, formula, and meaning of roots

**Thurs/Fri Sept 7/8** View Using the discriminant to find the number of roots and More using the discriminant

The number of solutions corresponds to number of times the parabola crosses (or touches) the x-axis:

Discriminant = 0 means parabola touches x-axis once = 1 root

Discriminant < 0 means parabola doesn't intersect x-axis = no roots

Discriminant > 0 means parabola intersects x-axis twic = 2 roots

Do p 153 #1, 2, 3, 4, 8, 9, 10

**Fri/Mon Sept 8/9** NEW CHAPTER! Ch 3 is essential to your understanding of all of mathematics. It addresses functions.

Read Sec. 3.1. Look esp at the domain examples and comprehension checks, as well as function notation.

View these videos. *Don't wait til before the first test to watch these:*

Algebraically finding the domain of a function

Example of domain of a composition of functions

**Mon Sept 11** Same videos as Friday.

Read Sec 3.2. Focus on the worked examples. The notation of domain for function operations, especially composition comes from set notation. It's a little dense.

The video explains it more clearly. I will explain carefully tomorrow.

If you have questions about Sec 3.1 (including the reading or exercises), be ready to ask.

One new video for tonight, Evaluating piecewise functions

**Tues-Fri Sept 12-15** Because of my approach to presenting definitions and characteristics up front, I think it is good to look at the HW for the rest of the week as a unit.

Some of you will find this more of a review than others, and that is fine. By the end of the week you should all be in good shape if you keep looking at the videos and being ready with questions on the problems and exercises.

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

Read Sec 3.3 and view One-to-one functions and Even and odd functions

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

Read Sec 3.4.

Understanding one-to-one functions and inverses

Finding the inverse of a function

Do Sec 3.4 pp 86-87 #1-5

Odd, even or neither practice worksheet

More (better) even, odd, neither practice worksheet

Check out the Videos for function inverse, domain, composition!

**Fri Sept 15-Mon Sept 18** Study and prepare questions on function ideas you don't understand.

Do take-home quiz (handed out in class) for desk check on Monday (you can hang onto it to study for Exam 1)

**Mon Sept 18** Study for Exam 1 (This is review day with focus on functions and *your* additional questions.

Ch 1, 2.2, 5.3 (algebraic approach), Ch 3. Emphasis on functions; a good amount on factoring and solving equations.

LOOK HERE FOR WORKED SOLUTIONS TO FOUR QUIZZES FROM OTHER CLASS.

**Tues Sept 19** Exam 1

Next Unit: Ch 4, Ch 5 and Ch 6

**Mon Sept 25** Read Sec 4.1 and 4.2.

View Graphing piecwise functions 1

Domain and range of piecewise functions

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

**Tues-Wed Sept 26-27** Read again Sec 4.2 and view:

Graphing transformed functions 1

Graphing transformed functions 2

Do pp 111-112 #1 a through o (the basic functions, shifted left or right, up or down, stretched or compressed).

**Thurs Sept 28** Continue with Sec 4.2 pp 111-112 #2, 5, 6

Read Sec 5.1

**Fri-Sun Sept 29-Oct 1** Understanding important features of polynomials in order to graph them.

Re-read Sec 5.1 and view these IMPORTANT videos:

End behavior, roots and multiplicity of roots to graph a polynomial

Rational root (zeroes) theorem

Do pp 150-151 #1-7

Read Sec 5.2

**Mon Oct 2** Add for Sec 5.1 p 151 #8, 9.

**Tues-Wed Oct 3-4** Sec 5.2, view:

Find equation using point-slope form

Parallel and perpendicular lines

**Thurs Oct 5** Same as above: Finding a line's equation using point-slope form

Parallel and perpendicular lines

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

Read Sec 6.1.

View:

Graphing a simple rational function

Graphing a harder rational function

View Slant asymptotes

**Fri-Sun Oct 6-8** This will seem like a lot of material, but please do your best and rely on your notes and the videos.

Read Sec 6.2-6.4

Do p 188 Sec 6.1 #2, 3; Sec 6.2 pp 188-189, #3 a-d, 5 a b, 6 all

Take-home quiz on graphing polynomials due Monday (to be collected)

Start Graphing rational function 'quiz' which we will do as an in-class review exercise on Monday and Tuesday.

**Mon Oct 8** Sec 6.3 p 190, #1 a-e and Sec 6.4 pp 190-191 #1-4.

**Tues-Wed Oct 9-10** Study for Exam 2, Thurs Oct 12, Chapters 4, 5, 6.

A beautiful overview of graphing rational functions, with lots of color.

Rational functions with holes and asymptotes

Here are the Solution guides to graphing polynomials and rational function quizzes

**Fri-Wed Oct 13-18** No HW other than to vies these for the week ahead.

Solving quadratic inequalities

NEW SCHEDULE OF ASSIGNMENTS

**Thurs Oct 19**

Read Sec 11.1. View Solving linear systems by elimination method

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

**Fri-Sun Oct 20-22** Read Sec 11.2. View Solving systems of inequalities

View Solving (graphing) systems of inequalities

Do Sec 11.2 #2 a d g h

**Mon-Tues Oct 23-24** See Videos for newly posted videos on Solving quadratic and rational inequalities.

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

View the following videos, each one twice if you are not sure about a detail. Work through the problem with Patrick:

Absolute value equations--Example 1

Absolute value equations--Example 2

Eqns with two abs values, Example 1

Eqns with two abs values, Example 2

Eqns with two abs values, Example 3

Study for Thurs Quiz: Solve a system equations (elimination and substitution), graphing to solve a system of inequalities, solving rational and quadratic inequalities.

**Thurs Oct 26** Read Sec 7.2: *Use videos as your guide on the problems* on p 215 #1, 2, 3, 5 a-h, 7, 8

**Fri-Sun Oct 27-28**

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

View Overview: Absolute value equations and inequalities

Abs value inequalities Example 1a

DO THE TAKE HOME HANDED OUT ON FRIDAY: Quiz on 11.1, 11.2, and 7.1, 7.2, 7.3

**Mon Oct 30** Read Sec 10.2 and view Solving exponential equations

Also, view Properties of logarithmic functions

Do p 348 Sec 10.1 #1, 2, 3 and First set of questions on p 5 of this pdf

**Tues-Wed Oct 31-Nov 1** Do Sec 10.2 #1, 2, 3 a-g, 4, 7, 9, 10, 11

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

See these videos for examples of solving logarithmic and exponential equations:

Solving exponential equations without and with logs

3 examples of solving exponential equations

Example solving logarithmic equations

Another example solving logarithmic equations

Exponential problems not requiring logarithms

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

For extra practice over the weekend (as there are plenty of problems in this section of your text) you can do the worksheet: Solving log and exponential equations

**Thurs-Fri Nov 2-3**

Due Friday: This Take home quiz on Ch 10

Read Sec 2.4. View the following, noting that the lecturer is using 'k' for the index rather than 'i' (both are common letters for this process):

Sigma (summation) formula properties and

Example of changing upper and lower bounds of a sum

Read my Sigma Notation notes

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.

**Fri Nov 3** Study for Exam 3, which is Tuesday Nov 7.

Here's a nice: Summary of sigma notation

**Thurs Nov 9** Beginning Trigonometry Unit. Read 8.1 and 8.2 CAREFULLY.

View Converting degrees to radians

and Basic sine and cosine functions

**Fri-Sun Nov 10-12** Again, view Basic sine and cosine functions

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

View Basic sine and cosine functions

**Mon Nov 13** **Circle art assignment**

- Draw a
*nice*circle (use a jar lid or compass, a straight edge for the rays) on*unlined*paper. (Copy paper is good.)

- Make the circle large enough to 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 label, give the pi radian equivalent, as discussed in class today. (The book, any trig book in fact, has this circle. Do the conversions on your own if you want to have a better chance of recognizing the values.)

- Use a different color for the lines marking off each of the several categories of
*pi parts of the circle*: 0 pi & 1pi; pi/2, 3pi/2; pi/4, 3pi/4, 5pi/4, 7pi/4; pi/6, 2pi/6 = pi/3, 4pi/6 = 2pi/3, etc.

- 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.

**Tues-Wed Nov 14-15** View again Basic sine and cosine functions

Using the video and do examples in the book, do p 283 #1-10

You should have viewed up through Sign of trig functions in quadrants I, II, III, and IV

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

We will have a PRACTICE quiz tomorrow.

**Thurs Nov 16** Read Sec 8.4 Do pp 284-285 #1-9.

Here is today's in class Trig practice quiz 1 (with some minor changes in the questions). Plus a unit circle assignment is added!

Finish this on your own tonight.

View UNWINDING THE UNIT CIRCLE TO GRAPH TRIG FUNCTIONS

**Fri-Sun Nov 17-19** Read *thoroughly* Sec 8.5.

Memorize Basic graphs of trigonometric functions

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

Study for Monday quiz on Sections 8.1-8.5 (basic trig function graphs only). (Bring your unit circles on Monday so you have them during quiz.)

**Mon-Sun Nov 20-26** THIS ASSIGNMENT IS COMPLETE FOR OVER THE THANKSGIVING BREAK:

View first three videos: Graphing sine and cosine functions

For overview of graphing, see:

Graphing sine and cosine graphs and their transformations

View the series of videos by Patrick on graphing trigonometric transformations:

Transformations of trig graphs 1

Transformations of trig graphs 2

Transformations of trig graphs 3

Transformations of trig graphs 4

Do p 285 #2 a b d #3 a b #4 a b c

people/mckenzie/math_108_hw.txt · Last modified: 2017/11/16 15:53 by mckenzie

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial-Share Alike 3.0 Unported