Homework Assignment Day 15: Falling from high places

Due Thursday, 3/29, in class.  Please complete the following three problems related to today’s joint class on falling objects and air resistance.  Detailed notes for today’s lecture are available here, and they include three problems we’d like you to complete on paper and hand in on Tuesday.  The problems are:

  1. Exercise 1.4 pages 4 and 5 — we did this problem in class, but we’d like you to do it one more time with a parachute diameter of d=3m.
  2. Exercise 1.11a, page 11.
  3. Exercise 1.12, page 12.

If you have any questions, please post them here.

-Mr. Reitz

Posted in Uncategorized | Leave a comment

OpenLab Assignment 6: What does this have to do with anything?

Most people go to college because they are trying to build a better future for themselves.  What job do you hope to get after college?  Imagine you have completed your college degree, and your education and experience have allowed you to obtain the job that you want.

With this job in mind, consider the following list of activities.  Which of them are you most likely to be asked to do as part of your new job?  Put them in order from most likely to least likely.  If you are uncertain, make your best guess based on your current knowledge and experience.

List of activities:

  1. Solve a problem using algebra, including: analyzing the problem, drawing a diagram, writing an equation, and solving the equation.
  2. Learn to use a computer system that is unfamiliar to you, and then complete a task on that system.
  3. Brainstorm a variety of responses to a problem and decide among several solutions, each of which has plusses and minuses.
  4. Use arithmetic (adding/subtracting/multiplying/dividing).
  5. Simplify a radical.
  6. Complete an assignment with a team of several people, including: finding a time and place to meet, dividing responsibilities, making sure everyone is completing their part, delivering the final product on time.

Assignment (due midnight, Tuesday, March 27):

Respond to the above activity by leaving a comment in response to this post.  Your comment should include all of the following:

  1. What is your major?  What job are you hoping to get after graduation?
  2. From the list of activities above, give your ranking in order from “most likely to be required on your new job” to “least likely” (you can just list the numbers in order, you do not have to type the description, like this:  “My ranking is:  5, 2, 3, 4, 1, 6”).
  3. Discuss the first item or two on your list.  Do you think that this class will help prepare you to complete that task?  If so, how?  If not, what could be done in this class to help prepare you for that task?
  4. Discuss the last item or two on your list.  Do you think it is important to learn (even if you are not likely to use it at your job)?  Why or why not?

Extra Credit.  Comment on  someone else’s post.   Do you agree or disagree? Why?

Posted in Uncategorized | 29 Comments

OpenLab Assignment #5: Exam 2 review and WeBWorK update

OpenLab Assignment (Due next Tuesday evening, March 16th).  Your second exam will take place next week.  The review sheet has been posted.  In the interest of making this assignment a help (instead of an extra chore), I’m asking you to post a comment related to the second exam.  Any one of the following types of comments will earn you full points:

  • A request for help on a question.  It must be more specific than just “how do I do this problem?”  Let us know where you’re stuck (and what you’ve done so far).  If you don’t know how to get started on a problem, you can say so — but tell us a little about why (is it different from problems we did in class?).  Your post must use correct \LaTeX notation!
  • A general question about a topic that we’ve been studying.  Is there some part of the course that’s been bothering you?  A type of problem that you just don’t get?  Something you keep trying but always get wrong?  Post a question here – maybe someone can help.
  • An answer to someone else’s question.  You don’t have to give every step or every detail, but you should provide enough information to help them along.  Your post must use correct \LaTeX notation!
  • A helpful comment or suggestion about a topic that we’ve been studying.  Do you have a trick for solving certain problems?  A neat way of remembering a formula?  Some thoughts about what makes certain problems hard, and suggestions for solving them? Post it!

WeBWorK Update:  As you all know, WeBWorK access has been terrible this week!  Our hardworking system administrator is trying to figure out what’s going wrong, but until the difficulties get worked out I am making the following changes:

  1. WeBWorK assignment #1 will be extended for 2 weeks, and is now due on March 20th (this update will be made on the WeBWorK servers as soon as I can get access to them…).
  2. There will be no new WeBWork assigned until the current difficulties are resolved.  We’ll pick up again once the system is working more reliably.
  3. Some of you may have noticed Assignment #2 in the WeBWorK system.  This will be removed shortly — you don’t have to worry about it.

I hope this addresses your concerns about our current WeBWorK problems!

Posted in Uncategorized | 43 Comments

OpenLab Assignment #4: Getting started with WeBWorK

DUE DATE UPDATE 3/4/12: Because WeBWorK has not been available all weekend, your first assignment will NOT be due on Tuesday.  I will extend the deadline by AT LEAST 4 DAYS (possibly more, to be determined).  I will make this change official as soon as WeBWorK is up and running again.  Thanks for your patience

PASSWORD UPDATE: The system automatically removed any zeros at the beginning of your password.  For example, if the last 4 digits of your socsec are “0305”, the system saved this as “305”.  Similarly, “0016” would be saved as “16”.  When entering your temporary password, leave out any zeros at the beginning.

UPDATE 2/28/12, 11:45AM:  The WeBWorK server was down overnight, but is now working again.  Apologies to those who tried to log in last night but weren’t able to!

WeBWorK is now up and running and accessible from on and off campus (anywhere you have access to the internet).  Your first assignment will be due on Tuesday, March 6th, and will cover the material from this week (Feb 27 – Mar 2).  In the future, you will have both a WeBWorK assignment and an OpenLab assignment each week – but this week, your only OpenLab assignment is to get started with WeBWorK.  Here’s what you have to do:

Assignment.  You must complete the following three steps.

Step 1.  Log in to WeBWorK here:  http://199.219.135.121/webwork2/Reitz-1275/ .  I have created Usernames and Passwords for all students registered for my class.

Username.  If you have an account on the OpenLab, your Username for WeBWorK is the same as your OpenLab login (BUT the password is different, see below).  If you don’t have an OpenLab account, your Username for WeBWorK consists of your first initial plus your last name, all lowercase (for example, John Smith would have username ‘jsmith’).

Password.  Your temporary password consists of the last 4 digits of your social security number.

Step 2.  Change your password and update your email address.  To do this, select “Password/Email” from the main menu on the left.  Use whatever email address you like (I suggest using one that you check often).

Step 3.  Complete the first assignment, titled Assignment1-6.8ComplexNumbers4.8_7.1QuadraticEqns, by clicking on it in the main screen.

If you have any trouble — either with logging in, or with completing the assignment, post a comment here or send me an email and I will get back to you.

WeBWorK Tips:

  1. Click on a problem to see the details (the list of problems appears in the menu on the left).  Enter an answer and hit “Submit Answers”.  Don’t worry, if you get it wrong you can try it again.
  2. If the answer is a number:  you can enter it either as a decimal, like 72.26 (round your answer), or as an exact answer, like 23*pi.
  3. If the answer is an equation or other algebraic expression:  if you have the answer but you’re not sure how to type it in, try typing it and then hit the “Preview Answer” button — it will show you what it thinks you mean, and you can decide if you’ve typed it correctly.  For example, if the problem is x^2 \sqrt{x}, then you might type the answer like this: x^2 sqrt(x).
  4. You can work on the problems in any order you wish.  You can do some problems now, and come back and do the rest another day (your work will be saved, as long as you submit your answers).
  5. If you want to print out a copy of the assignment, click on the assignment name in the main menu on the left, and then click the link in the main screen area that reads “Download a hardcopy of this homework set.”
Posted in Uncategorized | 32 Comments

OpenLab Assignment 3: Take a break

You have no assignment this weekend, except to work on some of the homework problems from Sec 6.7 Solving Radical Equations (these will not be collected).

Extra credit.  Tell me what music you like.  I’m listening to The Devil Makes Three (“punk-a** country trio”) and Aesop Rock (“inaccessible hiphop intelligentsia”).  A few ground rules:  No offensive lyrics, be considerate of others, feel free to include a link but only to a legal site such as YouTube.

Posted in Uncategorized | 26 Comments

OpenLab Assignment 2: Write a question for the first exam

UPDATE: LaTeX tester.  Want to test out your LaTeX code before you post it in a comment?  There is a LaTeX tester here, where you can type in your formula, hit the button, and see how it looks: http://samples.geekality.net/latex/
NOTE:  When you use the test, do NOT include the dollar signs or the word “latex” — just include the stuff in between.

Assignment (due at midnight on Monday, February 20) .  Create a problem that could appear on the first exam, and post it in a comment as a reply to this assignment.  It should satisfy the following:

  1. It can be from anything we have studied so far this semester, from the first day of class up through Section 6.4, Addition and Subtraction of Radicals.
  2. It must be a reasonable exam problem — not too easy, not crazy hard (I will be the final judge of what counts as a “reasonable exam problem”) — and you must be able to solve it yourself.  For ideas, look at the homework assignments, the group work from class, your notes, and so on (you can use these sources as inspiration, but please don’t copy problems from them directly).  If you wish, you can also ask short-answer, explanatory type questions, like  “Explain in your own words ….” or “Why does …” or “What’s the difference between  xxx and yyy?”.  Bonus points for creative questions!
  3. It must contain some kind of mathematical symbols, which must be posted using correct mathematical notation.  How do you do this?  See below.

Extra credit.  Solve one of your classmates’ questions, and post the solution as a reply. Your solution MUST be posted using correct mathematical notation.

What’s the point of this assignment?  Two things:  First, to make you think about what kinds of problems will be on the exam — and creating a problem forces you to consider this from a different perspective (what should be on the exam?) than simply practicing problems.  Second, I want you to start learning how to type mathematics on the OpenLab — how do you make exponents, square roots, and so on?

Typing math on the OpenLab.  This is not hard — BUT it takes a little getting used to.  Here’s an example. If you type this into a comment:

Here is a square root:  $latex \sqrt{x^2+1}$

then (after you post the comment) you should see this:

Here is a square root:  \sqrt{x^2+1}

Each equation or expression begins with “$latex” and ends with “$”.  The word ‘latex’, which appears after the first dollar sign, does not refer to the rubbery substance used in hospital gloves and sex toys, but rather to the incredibly powerful and awesome math typesetting language \LaTeX created by computer/math god Donald Knuth (and used by basically all math and science professionals in the universe).  In between “$latex” and  “$” you type your math — many things you type just as they are, like numbers and variables, but each special math symbol has a special code.  In the example above, we use the code for the radical sign, which is “\sqrt”. The stuff inside the radical is enclosed in curly braces “{ }”.  To get the exponent on the x^2, use “^” (just like in your graphing calculator).

Here are a few more examples:

Type this: to get this result:
A. $latex \frac{x+1}{x^2 + 5x}$ \frac{x+1}{x^2 + 5x}
B. $latex \left( \frac{x}{x+1} \right)^5 $ \left(\frac{x}{x+1}\right)^5
C. $latex \sqrt{x+1} + \sqrt[5]{x+6}$ \sqrt{x+1} + \sqrt[5]{x+6}

Some notes about these examples:

Example A (fractions): The code for fractions is “\frac{ }{ }”, with numerator inside the first set of curly braces { } and the denominator in the second set.

Example B (big parentheses): In many cases you can just use regular parentheses “( )”. BUT if you want your parentheses to get bigger, for example to wrap around an entire fraction, then you should use “\left(” and “\right” instead.

Example C (radicals and nth roots): Regular radical signs, like the first one, use the “\sqrt{}” command. For higher roots we use “\sqrt[n]{ }”, where n is the index of the root (in the example, n is 5).

Hints and suggestions. Don’t start with a complicated formula. Write a comment with a short bit of math in it, and post it to see what it looks like. You can always edit the comment to make changes.

Stuck? Frustrated? Doesn’t look the way you want it to look? Let me know! Send me an email or simply post a question on the OpenLab — let me know what you’ve tried so far, and what you’re trying to accomplish.

For more examples, this link is a pretty good place to start. Want even more symbols? Here you go.

Posted in Uncategorized | 123 Comments

Announcements 1: Office hours update, PAL workshops

Office hours update. I have updated my office hours (they are reflected on the Policies page also) as follows:

Tues: 11:30 – 12:30 (no change)
Thurs: 12:00 – 12:30 and 5:45 – 6:15

Peer-Assisted Learning Mathematics Workshops.  Need a little help in this class?  Studies have shown that students who are actively involved in the learning process and work in small groups retain more than students that work alone.  These workshops are FREE, meet for 1 hour a week, and provide a low-stakes, peer-led environment to work on the material being presented in class.  You have two choices of time slots:

MAT 1275, Mondays  12 – 1 PM, M308
MAT 1275, Wednesdays 1-2 PM, M308

You must sign up to attend. For more information contact Prof. Janet Liou-Mark, jliou-mark@citytech.cuny.edu, or Ms. Laura Yuen-Lau, lyuen-lau@citytech.cuny.edu.

Posted in Uncategorized | Leave a comment

OpenLab Assignment 1: Mathography

This assignment is due Monday evening, February 13th (midnight).

Assignment.  Choose ONE of the following two topics.  Write a reply to this post, responding to the topic.  Begin by telling us which topic you chose. (1-2 paragraphs).  Be sure to include your name in the post (so I can give you credit).

Topics.

  1. Was math ever your favorite subject? If so, when was it? What about math made it your favorite? If math has never been your favorite subject, what about it do you not like?
  2. Sometimes people can recognize a time when their opinion of math dramatically changed either for the better or the worse. If such a time happened for you or for a friend of yours, tell about it. If you did not experience such a thing, tell about your steady feelings about mathematics.

Extra Credit.  For extra credit, write a response to one of your classmates’ comments.  Do you feel the same?  Did you learn anything?  Do you have any advice?

Why are we doing this, anyway?  Having progressed this far in your school career, you are familiar with many of the tools for learning math:  studying, practicing by doing problems, asking questions when you need help, and so on.  I’d like to talk about two activities that may NOT seem related to learning math — but research shows that engaging in these activities can dramatically increase the amount that you learn, and change the way you learn it.  The first is writing — something not typically associated with mathematics.  When you express your ideas in words, it forces you to think them through very carefully, detail by detail.  A great way to check and see if you really understand something is to try to explain it to someone else, either out loud or in writing.  Example: if you know how to add fractions, try teaching it someone who doesn’t know how.  The second is called metacognition, or “thinking about thinking.”  This happens when you think about what was going on in your head while you were working on a problem or trying to learn a new idea.  What train of thought did you follow?  Where did you get stuck, and what did you do next?  What were you feeling at the time? and so on.  Combining writing and metacognition can be a tremendously powerful tool in identifying the ways we learn best and the ways we make mistakes, and learning to improve.  However, like any skill, it takes practice.  That’s why we’re getting started by writing a little about our past experiences with mathematics.

Posted in Uncategorized | 43 Comments

Help with the OpenLab – registering, etc.

Note: if you are looking for the “Welcome” message that was here before, just scroll down — it appears below this message.

A few people have run into problems registering for the OpenLab and joining my course.  Please let me know if you are in this situation (send me an email, jreitz@citytech.cuny.edu)!  I also wanted to give you two resources to help out in the process:

1.  For problems with your citytech email account, contact the Student Computing Helpdesk, either in person, by phone, or by email:

Student Computing Helpdesk
Location: Namm First Floor – Information Booth
Hours: Monday, Wednesday & Friday: 9:00am – 5:00pm
Tuesday & Thursday: 9:00am – 6:00pm
Phone: 718.260.4900
E-mail: Studenthelpdesk@citytech.cuny.edu

2. For problems registering for the OpenLab, contact the OpenLab admin team, either by email at openlab@citytech.cuny.edu, or by following this link.

Posted in Uncategorized | Leave a comment

Welcome and Getting Started

This course is MAT 1275, College Algebra and Trigonometry, taking place in the Spring 2012 semester with Professor Reitz.  We will be using this website in a variety of ways this semester – as a central location for information about the course (assignments, review sheets, policies, and so on), a place to ask and answer questions, to post examples of our work, and to talk about algebra and trigonometry, education, reality and other false premises.

Getting Started

Anyone on the internet can look around the site and see what we are doing, and even leave a comment on one of the pages.  However, only registered users can create new posts and participate in the discussion boards.

How do I register?

You will need to do two things:

  1. If you have not used the openlab before, you must first create an account (you will need access to your citytech email address for this).  Detailed instructions can be found by following this linkto the help pages, finding the “Especially For Students” section about halfway down the page, and then looking at the first link “Getting Started with the OpenLab and Joining Your Courses.”
  2. Once you have created an account on the openlab, log in and then join this particular course, Spring 2012 MAT 1575 with Mr. Reitz.  To do this, first click the “Course Profile” link at the top left of this page (just under the picture).  Find the area labelled “Course” on the right side, and click the “Join Now” button underneath it.
Header image for the website and group avatar are details from “Beautiful Dance Moves” by Dylan Ng, http://www.flickr.com/photos/dylanng/6267107228/
Posted in Uncategorized | 8 Comments