Category Archives: Assignments

Homework Week 6

Homework Week 6
Written work Рnone
WeBWorK РAssignment5-Sec3.1-3.4 (Due Tuesday, 10/8, at midnight)
OpenLab РOpenLab #2 due this Thursday

Homework Week 5

Homework Week 5
Written work Рnone
WeBWorK РAssignment4-Sec2.7-2.11 (Due Thursday 10/3, at midnight)
OpenLab РAssignment #2 (Due Thursday, 10/3)

OpenLab Assignment #2: Create a logical puzzle

Make a translation puzzle (Due Thursday, October 3).  Your assignment this week is to take a common phrase Рa saying, a quote, a song lyric, or anything recognizable to most people Рand translate it into logical notation.  You should break it up into individual parts (such as P, Q and R), and then combine them using logical notation to create your phrase.  This is meant to be a puzzle for your classmates, so do NOT include the original phrase.

Your submission should include: the individual parts P, Q, R etc. (written in English), and the puzzle itself (written in logical notation).

Extra Credit. ¬†You can earn extra credit by responding to a classmate’s puzzle – either by being the first person to correctly guess the phrase, or by making suggestions, or by offering an alternative way of translating the phrase into logical notation.

Here are two examples:

1.

P: you're happy
Q: you know it
R: clap your hands

Puzzle:   ( P \wedge Q) \Rightarrow R

Answer: “If you’re happy and you know it, clap your hands”

2.

P(x,y): you can fool person x at time y

Puzzle:   \sim (\forall x,y P(x,y)) 

Answer: “You can’t fool all the people all the time”

How do I type logical notation on the OpenLab?¬† This is not too hard — BUT it takes a little getting used to. ¬†Here’s an example. If you type this into a comment:

Here is a statement:  $latex P \wedge Q $

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

Here is a statement:  P \wedge Q 

Each equation or expression begins with “$latex ” and ends with “$”. ¬†In between “$latex ”¬†and ¬†“$”¬†you type your math — many things you type just as they are, like letters and numbers, but each special symbol has a special code. ¬†In the example above, we use the code “\wedge” to produce the upside-down vee which means “and”.

Here are a few more examples:

Type this: to get this result:
$latex P \vee Q$ P \vee Q
$latex P \Rightarrow Q$ P \Rightarrow Q
$latex \sim P$ \sim P
$latex \bar{P}$ \bar{P}
$latex P \Leftrightarrow Q$ P \Leftrightarrow Q
$latex \forall x, P(x)$ \forall x, P(x)
$latex \exists x, P(x)$ \exists x, P(x)
$latex \forall x \exists y ( P(x) \vee Q(y)) \implies R(x,y) $ \forall x \exists y ( P(x) \vee Q(y)) \implies R(x,y)

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.

Finally, if you submit a comment but you find it doesn’t look right, don’t hesitate to make corrections and submit it again – you will NOT be penalized for multiple submissions!

Homework Week 4

Homework Week 4
Written work Рnone
WeBWorK РAssignment3-Sec2.1-2.6 (Due Tuesday, 9/24, at midnight)
OpenLab Рnone

Heads up: Exam #1 is next week Thursday, 9/26.  Review sheet is posted on the OpenLab, answer key will be added within the week.

 

Homework Week 3

Homework Week 3
Written work¬†–¬†Sec 1.8: 3, 5, 6, 8
WeBWorK РAssignment2-Sec1.4-1.7 (Due Tuesday, 9/17, at midnight)
OpenLab Рnone

If you have questions on any of the assignments, feel free to ask them here (leave a comment in reply to this post).

Quick reminder – the grading policy for written work is as follows (from the Grading Details post):

  • Odd-numbered problems¬†are worth¬†3 points¬†unless otherwise indicated. ¬†They will be graded for¬†completion. ¬†(Solutions appear in the back of the book)
  • Even-numbered problems¬†are worth¬†5 points¬†unless otherwise indicated. ¬†They will be graded for¬†correctness.

OpenLab Assignment 1: Sudden understanding

This assignment is due Thursday, September 12, at the start of class.

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, and which section you are in (so I can give you credit).

Topics.¬†There is a common experience that ¬†many people describe having at various times when they are learning mathematics. ¬†It is the experience of suddenly understanding a concept for the first time – something that might have seemed confusing, or hard, or just didn’t make sense, ¬†all of a sudden becomes clear. ¬†This can happen in class, because of something a teacher says, or because a friend explained it to you in a new way. ¬†Sometimes it happens on your own, because you were thinking hard about a particular problem. ¬†Afterwards,¬†¬†the concept might even seem obvious, or simple – for some people it might even be hard to remember exactly why you found it so confusing.

  1. Choose an experience you had in which you suddenly understood a math concept (it could be any kind of math, from elementary school up through college).  Describe what happened.  What was the mathematical concept?  Who was involved? How did it happen?  Finally, do you think you could explain it to others in a way that they could have the same flash of understanding?
  2. If you have never had an experience like this, then talk about your own experiences in learning math.  Choose one mathematical concept that you feel you know well Рhow did you learn it?  What did your teachers/friends/parents/tutors/yourself/etc. do that helped you to learn it?  What was the most important factor that contributed to your understanding?

Extra Credit. ¬†For extra credit, write a response to one of your classmates’ comments. ¬†Do you feel the same, or different? ¬†Did you learn anything? ¬†Did you get any ideas about teaching, or about learning?

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 learning mathematics.

Homework Week 2

Homework Week 2
Written work Рnone
WeBWorK РAssignment1-Sec1.2-1.3 (Due Tuesday, 9/10, at midnight)
OpenLab РOpenLab Assignment 1: Sudden Understanding (Due Thursday, 9/12, at start of class)

If you have questions on any of the assignments, feel free to ask them here (leave a comment in reply to this post).

Assignments – Grading Details

Written Assignments (problems from the book):  These will be assigned during the week and due the following Tuesday in class.   They should be completed neatly on paper, with your name, the course number and section, and the section from the book clearly indicated.  If you hand in multiple pages please staple them.  Written assignments will be graded as follows:

  • Odd-numbered problems¬†are worth¬†3 points¬†unless otherwise indicated. ¬†They will be graded for¬†completion. ¬†(Solutions appear in the back of the book)
  • Even-numbered problems¬†are worth¬†5 points¬†unless otherwise indicated. ¬†They will be graded for¬†correctness.

WeBWorK Assignments (online): These will be assigned during the week and due the following Tuesday at the end of the day (midnight).  The WeBWorK system checks your answers automatically, and you get points for every part that is correct.

OpenLab Assignments (online): These will be assigned about every two weeks, and you will have 1-2 weeks to complete them.

Homework Week 1

Hi everyone,

Your first homework assignment will be exclusively in the book (you do NOT have a WeBWorK assignment this week). ¬†Don’t forget to register for the OpenLab and join this course.

Welcome back,
Prof. Reitz

Homework Week 1
Written work  due Tuesday Sept 3rd Р Sec 1.1: 1, 12, 19, 26, 29, 35
WeBWorK Рnone
OpenLab РRegister for the OpenLab and join this course (instructions provided in a separate post)