(7/17/2011) Answers to Practice Exam 3
Here are the answers to the practice exam. Some answers wouldn't fit on the page so I attached two separate sheets with the rest of the answers:
    practiceExam3answers_Page1
    practiceExam3answers_Page2
    practiceExam3answers_Page3
    practiceExam3answers_Page4

(7/17/2011) Exam 2 Rework
Several people have asked me about the Exam 2 rework due date so I'll just put it here (even though it is now on the updated coversheet Rework Guidelines for Exam 2 . This rework is due on Thursday - July 21, the day of the final, with the rework for Exam 3.

(07/17/2011) Answers to Quiz 11 and Quiz 12
Here are the quiz answers for the last two quizzes which you haven't gotten back yet:
     Quiz11_Answers_Page1
     Quiz11_Answers_Page2
     Quiz12_Answers

(7/14/2011) Exam 3 Adjustments
Exam 3 with be on 15.1 through 20.1 instead of 15.1 through 22.1. 21.1, 21.2, and 22.1 will be on the final instead along with 23.1 and 24.1. Lecture 25.1 is optional anyway so we may not get to this section. On Exam 3, you will have a blank unit circle that you will have to fill out and I will ask you to derive the values of the sides of a 30º–60º–90º triangle and the values of the sides of a 45º–45º–90º triangle.

(7/13/2011) Adjustments
skip Lecture 18, Part 2.
Don't do reciprocal problems on homework for Lecture 17.

(7/12/2011) Quiz 11 Topics
Quiz 11 will cover Lecture15 Part1, Lecture15 Part2, and Lecture16 Part1.

(7/11/2011) Incorrect HW assignment on Lecture 16, Part 1
Scratch out the homework assignment given in Lecture 16, Part 1 The actual assignment is
     pg 536, 9-77eoo (which is 7.3)
     pg 549 11-103eoo, 117a (which is 7.4)

(7/10/2011) Problem #12 in Exam 2 Practice
Graph 2 Possible function should be
     f(x) = x²/[(x-2)(x+2)]
instead of what is shown
     f(x) = 1 + x/[(x-2)(x+2)]

(07/11/2011) Practice Test 2 Answers: Number 14, part G
The factors should be x-3 and x-4 in the sign chart. Otherwise plugging in 3 and 4 wouldn't be zero and we wouldn't have a vertical asymptote at 3 and an x-intercept at 4.

(7/6/2011) Quiz 10
We actually covered all of the sections planned for Wednesday and we have covered all material to be on Exam 2. This time so the quiz will have
Lecture12 Part1
Lecture12 Part2
Lecture13 Part1
Lecture13 Part2
Lecture 14 Part1 won't be on the quiz.

(7/5/2011) Note the change in the date for Exam 2
Yeah, it's on next Monday.

(7/5/2011) What's on the Quiz tomorrow?
Hey Everyone,
I'm not putting material from Lecture 12, Part 1 on the quiz because the homework requires that you already know about logs (which you should but...I will actually cover the essentials of logs tomorrow). So the quiz will cover, Lecture9 Part2, Lecture10 Part1, and Lecture11 Part1.

(7/4/2011) Student question: Do you have an example of No13 on the exam that i can refer to on the homework? I cannot figure it out.
My answer:
See the class notes. It just the transformations using the graph of the basic function 1/x
     If f(x) = 1/x then
        f(x+1) = 1/(x+1) and
       -1*f(x+1) + 2     =      -1/(x+1) + 2    =     2 – 1/(x+1)
so working from inside the function out the transformation of the graph would be:
      1) shift right 1
      2) vertically reflect over the x-axis
      3) shift up 2 units.
Be sure to include vertical and horizontal asymptotes in your transformations.
- Ed :)

(7/3/2011) Practice Test, Problem #2
The graph on the left of the y-axis should be shifted down 1 unit. Also I wasn't able to add a solid point and a hole at x=0.

(6/29/2011) Question #73, page 342
Since f(x)=(x-1)(x-2)(x+4) isn't a quadratic function (it's cubic, or third degree), it doesn't have a vertex. When the solution manual picked x=-2 to get the point (-2,24) is just picking any point between the x intercepts of (-4,0) and (1,0) to get an idea of how high the graph goes. They are just plotting points. I'm just wanting you guys to
    1) get the intercepts (both x and y),
    2) understand the behavior near the intercepts
    3) know where the function is above or below the x-axis and
    4) know the global behavior of the function.
Cheers,
Ed

(6/29/2011) Homework and Quiz for tomorrow
Since we didn't have the quiz today, the quiz tomorrow will be on Lecture7 Part2, Lecture8 Part1, Lecture8 Part2,
Lecture9 Part1

(6/28/2011) Homework and Quiz for tomorrow
We cover Lecture7 Part2 and Lecture8 Part1 today so that is what will be covered on Quiz 8 tomorrow.

(6/27/2011) Homework and Quiz for tomorrow
Homework is just Lecture 7, Part 1 since we didn't finish Part 2. A student informed me that the page number is a little off: instead of
pg. 421: 9–81eoo
it should be
pg. 419-421: 9–81eoo

Quiz #7 will just be on Lecture 7, Part 1 homework.

(6/26/2011) Test 1 and Homework
Well Test 1 and the homeworks are graded and being returned tomorrow. Most of you are going to be able to rework the exam for 25% of the points you lost returned to your test score. For those of you whose homework fell below 80%, remember that I lowered it from 85% to 80% so I am very certain that you can not rework your exam. Even if it was 79%. Be sure you are going for 100% and if you fall short a few percentage points it won't matter.

The rework cover sheet is available at the top right side or you can click on this link: Rework Guidelines Exam1. Be sure you read and follow all of the guidelines as I will not grade your rework otherwise. It is the second time I am looking at your test and a lot of people are going to be doing the rework. If you don't make my job as simple as possible by following the guidelines don't expect your rework to count for anything.

(6/8/2011) Online whiteboard
At the bottom of the webpage is a whiteboard for students to communicate with each other and with me. If you want the password to access it, please email me. Otherwise I'll give it to you in class. Also, you can access the whiteboard with an iPhone or iPad. Search for "Groupboard" in your Apps store. It's a free application.

(5/30/2011) Welcome to Summer 2011 Math 4
This area is where you will find the latest class messages. Most recent messages are at the top. Below you can see examples of messages from last summer's math 4 class.

Lecture Notes for the entire class are on the left side of this webpage as well as the class schedule. The first two lectures: Lecture 1 (All Parts) and Lecture 2 (All Parts) are review and will be covered only briefly.

You will have a quiz on the Review material on the first day of class. I would recommend studying this material before the first day of class.

This is a fast paced challenging math class. You will not have time to do much else while this class is in session. You need to be strong and up-to-date on your algebra skills from Intermediate Algebra. There is an unreasonable amount of homework which is assigned, Quizzes everyday except on Exam days. It is much easier to sign up for this class than to do it. Please be certain this is how you want to spend six weeks of your summer as there are many students wanting to get in.

(7/28/2010) Practice Final Exam
On problem 1, instead of #43 it should have been #73.

(7/27/10) Reworking the Unit Circle on Exam 3
Below is a link to the unit circle graphic I used on Exam 3. Feel free to print it out, fill it out and attach it to your rework pages:
Blank Unit Circle

(7/25/2010) Some Problems on Practice Exam 3
Problem 11 has a typo...and should be:
cos(α + β) cos(α - β) =
cos²(α) cos²(β) - sin²(α) sin²(β)

Also the last problem is a joke...sorry about the humor...

(7/21/2010) Tomorrow and Monday
Today we put a good dent in Lecture 21, Part 1 which we will finish up tomorrow. That means it will just be Lecture 21, Part 2 and Lecture 22, Part 1 to complete what is covered on Exam 3. Of course, any spare time will be used covering new material so more time will be available next week to review for the Final on Thursday.

(7/21/2010) Quiz 12
The quizzi-pooh tomorrow will be on Lecture 19 and 20 homework.
May your studies be fruitful,
Ed

(7/21/10) Lecture 18.2 won't be covered.
I mentioned this in class but realized I should also put it in writing as an Important Message.

(7/21/2010) Homework for Lecture 18, Part 1
There are some problems missing from the homework that should have been assigned. They involve horizontal shifting (phase shifting) and are in 7.8 of the book. I fixed the Lecture 18, Part 1 to include these problems. You should do them as practice for the exam 3. They are: pg. 589: 5–15 odd.

(7/20/2010) Down to the wire
Less than 2 weeks left!

Reworks are due on Thursday.
There's an exam 3 on Monday and a Final Exam on Friday.
Please begin creating your 8.5 by 11 sheet of notes for the Final Exam.

(7/19/2010) Homework Adjustments
Scratch out the homework assignment given in Lecture 16, Part 1
The actual assignment is
pg 536, 9-77eoo (which is 7.3)
pg 549 11-103eoo, 117a (which is 7.4)
If you have already done the assignment I'm asking you to scratch out, I'll give you 5 points E.C. on the homework assignment after the points have been totalled. Please label the original assignment as Lecture 16, Part 1 (original) and the revised assignment as Lecture 16, Part 1 (revised).
Cheers,
Ed

(7/13/2010) Homework Reminder
Remember, you don't have to do the parts of problems that require you to us Remember, you don't have to do the parts of problems that require you to use a graphing utility. So, for instance, in homework for Lecture 14, Part 1, you don't have to do 63, 67, or 72 ng quizzes

(7/12/2010) Request from homework/quiz grader
Your homework grader has requested that you be neater and more organized on your homework. And if you can't get the staple through your papers, go to the library and use their bigger stapler with BIGGER staples. And on quizzes, please if you are going to answer the question, circle it. And .... has anything been left out?

(7/11/2010) Quiz #8
On Lectures 8, Parts 1 and 2, Lecture 9, parts 1 and 2, Lecture 10, part 1 and Lecture 11, Part 1.

(7/11/2010) Descartes' Rule
We didn't go over Descartes' Rule so you don't have to answer any questions involving it. If it is part of a question, just do the other parts.

(7/11/2010) Homework Problems
Hey Everyone,
If you haven't discovered yet, the homework problems 11-19odd in Lecture 10, Part 1 were already assigned in Lecture 9, Part 1.

For graphing problems assigned, please just do as we did in class. You don't have to follow the parts a through e or f (or whatever letter the last part is).

For example, in lecture 11, part 1 the problems 7 through 43 eoo assigned on pages 366 and 367, you can just graph as we did in class. Be sure you indicate:
1) holes,
2) vertical and horizontal asymptotes,
3) x-intercepts, y-intercepts and
4) the behavior of the graph as it goes to an asymptote or x-intercept:

For vertical asymptotes:
Does it go the same direction on both the left and right or does it go in opposite directions?

For x-intercepts:
Does the graph go through like a line or cubic? Does it bouce off like a quadratic (parabola) or quartic (4th degree poly function).

And, yeah, polynomial functions don't have horizontal or vertical asymptotes...only rational polynomial functions, and soon, logarithmic and exponential functions...and some functions from trigonometry

( 7/8/20 ) Lecture 10, Part 1 Homework Correction
Please don't do problems 11 - 19 odd in Lecture 10, Part 1 on pages 386,387 since they were already assigned in Lecture 9, Part 1.

(7/6/2010) Exam 1 Reworks
Hey All,
Reworks are due next Monday 6/12/2010. Please download the Rework Guidelines for Exam 1. You will want to read the guildlines, follow the guidelines for reworking your exam, and attach the guideline sheet to the front of your exam and rework pages (see guidelines for details).

Note that I changed the percentage needed on homework to 80% for this exam only.

Happy days,
Ed

(7/5/2010) Quiz on Tuesday
Hey Everyone,
Hope you had an enjoyable July 4 weekend. Back to summer school math boot camp!

The quiz tomorrow will cover homework from Lecture 6, Part 1 through Lecture 7, Part 2.

Note that Lecture 7, Part 3 has no homework in it...In fact, it actually IS homework that reinforces Part 2 of Lecture 7.

(6/29/2010)Answers for Quiz 5
Click on the link for Quiz 5 Answers. A lot of people gave answers but no work or incorrect work to question 1, the word problem. Remember, the answer isn't as important as the process. You need to show correct work for credit.

(6/29/2010) Error on Practice Exam #12
Hi Everyone,
Hey...I noticed that the answer to #12 is not finished!
Should have checked it in the original equation...
Unfortunately, -3 makes some denominators = 0 so we have to throw it out.
So the answer is "NO SOLUTION"
Cheers,
Ed

(6/29/2010)Quiz 4 and Quiz 5
Really top notch job on the quiz today! Lots of 8's, 9's, and 10's. If you are finding you are not doing well on quizzes, you really need to get on top of the homework and verify that your solutions are correct and maybe even work with others. Use the Math Learning Center...it's open 11-5pm Monday through Thursday and 12 - 5pm on Sundays. Just go. There are many students from our class who already use it everyday and I'm sure they would be happy to see you. Furthermore, you don't have to get help from me. You can request other tutors if you feel more comfortable doing that. If you do request help from me, I'll help you out as though I had never told you how to do the problems during lecture (and for some problems that might be true).

Although the quizzes only amount to 10% of your grade, that's 10% that you don't have to count on your Exam scores to get you. You get to use your homework so do it. Yes, it is a lot. Just remember, Math 4 is hard in a regular semester with a 40% success rate. In the summer Math 4 should really be called "Math Boot Camp". Hopefully quiz scores have revealed the challenges. Doing homework accurately is the only way to survive and I want you to do well in this class. Use the MLC. Even if you are tired after class, bring food to the MLC. Don't leave campus until 5pm if you can avoid it. Take advantage of the FREE drop-in math tutoring! You can do this!

Quiz #5 will have homework from Lecture 3, Part 3 through Lecture 5, Part 1.

(6/28/2010) Some changes to homework
The homework for the applications section was too much. For Lecture 3, Part 3, it should have been 17 – 49 every other odd instead of 17 - 51 odd. If you have already done it, I'll give you 5 Extra Credit points for your efforts...if you haven't done it you can either choose to do it for the points or just get done with doing it if you know what I mean. :)

Another fix is on Lecture 5, Part 2 for the homework on page 219 it reads 61 – 71 odd but some of those problems were already assigned so change that to 61 – 69 eoo.

If you have any questions please contact me at edbraunh at cabrillo.edu
Thanks
Ed

(6/28/2010)Some Things
Hey Everyone,
O.k...so it's official...Exam 1 is postponed for Tuesday. But the sections we cover on Monday will still be apart of it.

Quiz 4 will be on Monday and will cover material from Lecture 3, Part 2 through Lecture 4, Part 2.

The Email Contact is going out now. If you decide you'd like to be apart of it, send an email to me requesting that. 11 students have requested to be on the list so far.

Lastly, the answers to the practice exam are now available above. Please do the problems before you look at the answers to replicate the experience of taking an exam as much as possible.

(6/27/2010) Exam 1 moved to Wednesday
Hey Everyone,
After a little thought I realized, the material on Monday that would be on Exam 1 may take a little more time to absorb (even if some of it is review). So, while it isn't much more time, I decided to give it another day to 'ferment' in your mind...so Exam 1 will be on Wednesday. The material on Monday is all about functions.

If we are done with it on Monday we will still move on to new material on Tuesday but I won't test you on that material on Exam 1. Also, the material we cover on Tuesday won't be due as part of the homework packet due on Wednesday.

Hope that helps a bit...
Ed

(6/24/2010)Some Things
Hey Everyone,
O.k...so it's official...Exam 1 is postponed for Tuesday. But the sections we cover on Monday will still be apart of it.

Quiz 4 will be on Monday and will cover material from Lecture 3, Part 2 through Lecture 4, Part 2.

The Email Contact is going out now. If you decide you'd like to be apart of it, send an email to me requesting that. 11 students have requested to be on the list so far.

Lastly, the answers to the practice exam are now available above. Please do the problems before you look at the answers to replicate the experience of taking an exam as much as possible.

(6/23/2010) About Quiz 3
Hey again,
About Quiz 3: it should be covering material from Lecture 2, Part 3 through Lecture 3, Part 1.
Ed

(6/23/2010)Email Contact List
Hey Everyone,
So far I've got 6 people who have given me email addresses to be on the email list. Let me know if you want to be on it as well. I'll be sending it out fairly s<broon. Last Chance! Be available to help or to get help via email.

Shoot me an email at ed@mathtoearth.org
Ed

(6/22/2010) About Quiz 2
Hey again,
About Quiz 2: it should be covering material from Lecture 1, Part 4 through Lecture 2, Part 2.
Ed

(6/22/2010)Quiz 1
Hey Everyone,
Great Job on Quiz #1! Remember we have another tomorrow and we'll just keep doing this on a daily basis (except on exam days). Ask yourself, "Self....was my homework organized enough to use as a reference on the Quiz?". If it wasn't think of how it might be improved.
Cheers,
Ed

(6/21/2010) About Homework due on day of Exam 1
Remember the only homework I am collecting on the day of Exam 1 is the homework from Lecture 3, Part 1 through Lecture 5, Part 2. The homework assigned in Lecture 1, Part 1 through Lecture 2, Part 3 has a lot of review material in it so I'd like you to do enough of it to feel comfortable with it but you don't have to turn it in. Note that we will still have Homework Quizzes on the homework from these Lectures.

(6/18/2010)Calculators
Hey Everyone,
Someone asked if a graphing calculator was a scientific calculator. I should have been more specific: non graphing calculators are permitted. Thanks for the question. I don't know why but people often refer to non-graphing calculators as scientific calculators even though the graphing calculators have all the scientific calculator functions. Non-graphing calculators cost roughly about $10 (plus a hefty California tax).
Ed

(6/18/2010) What to bring to the first day of class
You should bring
(1) the first days notes printed out (Lecture 1, Part 1 through Lecture 2, Part 3)
(2) the textbook
(3) writing Utensils

(6/15/2010) News Updates will appear here!
You will see various news items appearing here as the summer session whizzes along. Sometimes I get an email from a student who needs clarification on something and I'll post that clarification here if I think many students have the same question.

Check this page frequently.

(6/15/2010) Homework abbreviations
"eoo" stands for "every other odd". For instance, if the homework assignment is 5 – 49 eoo, you should do the following 12 problems: 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49.

In fact, if you wanted to calculate the number of problems assigned it would be: (49 – 5)÷4 + 1

5 – 49 odd would amount to being assigned 23 odd problems and this can be calculated by (49 – 5)÷2 + 1

While we're at it, 5 – 49 would amount to being assigned 45 problems (evens and odds) which can be calculated by (49 – 5)÷1 + 1

(6/215/2010) Graphing Calculator Homework
Please do not do any of the graphing calculator parts in the homework. You can if you want to but you need a graphing calculator to do them and they are virtually impossible without one. Graphing Calculator problems are indicated by a little calculator icon to the left of the problem. We don't use Graphing calculators on the Exams so you won't be expected to solve these problems.