"...how it differs from the rocks"

Author: Jonas Reitz (Page 4 of 5)

OpenLab #2: Technology Survey

Please complete the following survey no later than this Thursday, March 2nd.

MAT 2680 Technology Survey

Part of this course will introduce numerical solution methods for differential equations - these methods can generate extremely accurate approximate solutions when implemented on a computer. This survey is intended to give an indication of which technological tools you are most familiar with.

  • Like Microsoft Excel, Google Sheets, OpenOffice Calc, or others?
  • Like Microsoft Excel, Google Sheets, OpenOffice Calc, or others.
  • In any programming language (for example Python, Java, C++, PHP, etc.)
  • Python, Java, Javascript, C, C++, Swift, PHP, SQL, or others.
  • Like Maple, Mathematica, R, or others.
  • Maple, Mathematica, R, or others.
  • TI-84+, TI-89, or others
  • TI-84+,TI-89, or others

Assignments Week 5

WeBWorK:  Assignments 6-Modeling1-PopulationAndCooling and 6b-Modeling2-FallingObjects will be due on Tuesday 3/7 at midnight.
OpenLab:  OpenLab #2 (technology survey) must be completed by this Thursday, March 2nd.

Exam 1 Review is posted

Hi everyone,

Exam #1 will take place on Tuesday, February 28th, during class.  The review sheet for Exam #1 (along with the answer key) has been posted under Classroom Resources/Exam Reviews.  Let me know if you have any questions.

Regards,
Prof. Reitz

Assignments Week 4

UPDATE 2/21/17: Because Cooling problems were not covered in class today (Tuesday 2/21), I have changed the due date for Assignment 6-Modeling1-PopulationAndCooling to the following week (Tuesday, 3/7).  However, I strongly suggest that you complete problems 1, 2 and 3 prior to the exam (population problems).

Exam #1 will take place on Tuesday, 2/28, covering material through Sec 4.2.  A review sheet will be distributed on Tuesday, 2/21, and posted to the OpenLab.

 

WeBWorK:  none
NOTE: Assignments 6-Modeling1-PopulationAndCooling and 6b-Modeling2-FallingObjects will be due one week after the exam, on Tuesday 3/7 at midnight.
OpenLab:  none

Spring 2017 Tutoring available

Here is a flyer for math-specific tutoring this Spring, funded by a Perkins Grant.  The tutors are City Tech students who excel in mathematics, and I have heard great things about them.  Although the flyer says it covers only through MAT 1575, in fact they will help with more advanced courses as well – including Differential Equations (priority is given to classes through 1575, however).

HOMEWORK HINTS: Interval of validity

Hi everyone,

I wanted to post a quick followup to our work from Tuesday, regarding intervals of validity – this may be of use as you work on WeBWorK #3.

Let’s look at an example – this is my version of Problem 6:

Separate the following differential equation and integrate to find the general solution:
y'=(5-2x)y^2

Then give the particular solution that satisfies the initial condition y(0)=\frac{1}{-6} and state the interval on x for which this solution is valid.

Let’s look at the particular solution satisfying the initial condition – it is:  y=\frac{1}{x^2-5x-6}.

What is the interval of validity?  It is the largest interval of the x-axis which a) contains the initial condition, and b) on which the solution is defined and continuous.

By setting the denominator equal to zero, we find that the solution is undefined at x=6 and x=-1. These two values break the entire x-axis up into three intervals on which the solution is defined (and continuous): (-\infty,-1) \cup (-1,6) \cup (6,\infty).  We now simply have to choose the correct interval – here, we use the fact that the initial condition y(0)=\frac{1}{-6} refers to the point (0,\frac{1}{-6}), so we must choose the interval containing x=0.

Thus the interval of validity is (-1,6).

Please comment below if you have questions!

Best of luck with the WeBWorK, and enjoy the snow.

Regards,
Prof. Reitz

 

No classes tomorrow (Thursday 2/9)

Hi everyone,

Just a quick heads up – City Tech has cancelled classes tomorrow (Thursday 2/9) because of the coming snowstorm.  Please don’t come to class!

Have a good weekend, and I will see you all next Tuesday.

Prof. Reitz

ps.  I’ll be updating the homework assignment later this weekend – Only assignment #3 will be due on Tuesday, as we will not be covering the material for assignment #4 tomorrow.

 

OpenLab #1: Advice from the Past

In Fall 2014 I taught this same course.   At the end of the semester, I gave my students the following assignment:

Imagine that you are invited to speak on the first day of MAT 2680, to give advice to entering students.  Write at least three sentences … describing what you would tell them.

To see the assignment and the students’ responses, follow this link.

Your assignment, due at the beginning of class next Thursday, February 16th, is to:

  1. Read through ALL the responses (there are 57 of them, but many of these are short replies to other comments).
  2. Write a reply to this post (1 paragraph) responding to all of the following:
    1. What advice seemed most relevant to you personally? Why? (you can copy/paste a short statement, or put it in your own words)
    2. Based on this advice, what changes can you make right now to help you succeed in this course?

Extra Credit. For extra credit, write a response to one of your classmates’ comments.  Do you have any advice?  Be kind.

Assignments Week 2

WeBWorK:  3-Separable and 4-Bernoulli-nosub, Due Tuesday 2/14 at midnight
UPDATE: As classes were cancelled on Thursday, 2/9, due to snow, WeBWorK assignment 4-Bernoulli-nosub is extended to the following week, 2/21, at midnight.
OpenLab:  Complete your first OpenLab Assignment “Advice from the Past” by Thursday, 2/16, at the beginning of class.

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