Quantitative Reasoning Courses at COA

Frequently Asked Questions


  1. Why did you stop giving the assessment test to incoming students?
  2. Numerically, how do I interpret my score on assessment test? How did I get a score higher than the number of questions on the test?
  3. What math courses are offered and when?
  4. When are Calculus and Physics offered?
  5. What's the deal with Physics III?
  6. What's the deal with the Quantitative Reasoning Requirement?
  7. Do AP credits or an IB in mathematics fulfill the Quantitative Reasoning requirement?
  8. Do any non-math classes fulfill the Quantitative Reasoning Requirement?
  9. What math is needed for other classes?
  10. What math and physics are needed for graduate school?
  11. Who should take Introduction to Chaos and Fractals?
  12. Should I take Calculus? Am I ready for Calculus? Do I need to take Calculus?
  13. I've taken Calculus before. Can I start in Calc II?
  14. I've taken Physics before. Should I take Physics I? What about Physics II?
  15. What advanced math courses are there?
  16. Do math courses taken at other colleges "count"?
  17. Can I place out of the QR requirement?
  18. Is computer programming offered?
  19. Is astronomy offered?


Why did you stop giving the assessment test to incoming students??

I gave the test for the first three years I was at COA: 1998-2000. I found that the information we got from the test wasn't that helpful. Administering the test took a lot of time, was not a lot of fun for most students, and was borderline traumatic for some. Thus, it doesn't seem worth it to me to give the test. Since I've stopped giving the test, I haven't noticed that students have had a difficult time placing themselves in courses. I have no plans to return to administering the test.

Numerically, how do I interpret my score on assessment test? How did I get a score higher than the number of questions on the test??

If you took the test in the fall of 2000, your test had only 30 questions on it. Previous years' tests had 60 questions. I wanted to make the scores from different years mean roughly the same thing. Thus, I multiplied the scores from 2000 by two. (I.e., if you got 22 questions right out of 30, I reported your score as a 44.)

What Math Courses are Offered and When?

See the
list of all Quantitative Reasoning courses. This list contains links to course descriptions and, when available, course home pages.

Also see the Schedule of 2001-02 Quantitative Reasoning courses.


When are Calculus and Physics Offered?

Calculus I and II will be offered this year (2002-03), but will be not be offered next year, (2003-04).

There is no class limit for Calculus I and II. Everyone who registers will be able to take the course. The class might be large, but I've taught it large before and it worked just fine. There will be plenty of tutors available to help on the homework.

Physics I and II will not be offered offered this year (2002-03) but will be offered next year (2003-04).

Plan accordingly!!! Note that Calc I and II and Physics I and II are required by almost all graduate biology programs, as well as medical and veterinary schools. Calculus is also required by economics and some other social science graduate programs.


What's the deal with Physics III?

Physics III is a new course that I will offer for the first time this Winter. (The course has not been given final approval by the academic affairs committee.) Physics III will be a broad introduction to quantum mechanics. The focus will be on learning what's strange about quantum mechanics -- how does quantum mechanics differ from classical mechanics, the physical theory that describes how the objects of everyday experience move and interact with each other? What is the experimental evidence to quantum mechanics? This course is designed to appeal to both student who anticipate concentrating in the sciences, as well as those who need a QR credit and/or who want to learn some cool stuff about quantum mechanics.

Physics I and II are not prerequisites for Physics III. The level of mathematics in Physics III will be similar to that of Physics II -- there will be a fair amount of algebra and trigonometry. Calculus is not needed.


What's the deal with the Quantitative Reasoning Requirement?

As clearly stated in the course catalog, students are expected to fulfill the quantitative reasoning (QR) requirement during their first two years at COA. To fulfill this requirement, a student must take at least one QR course. QR courses include, but are not limited to, math courses.

Many students delay taking a QR course. This is certainly understandable, and I'm well aware of the other requirements that entering students must complete: Core course, writing, and history. However, there are some reasons why I think it's better to take a QR course sooner rather than later:

  1. With a solid math and quantitative reasoning background, students will get much more out of some classes, especially science and economics classes.
  2. Students with weak math skills worry that a QR course will be difficult and/or unpleasant. However, waiting to take a QR course won't make it any easier. I think it's better to take a math course before too much high school math is forgotten.
On the other hand, I think it's very important that you find some courses during your first several terms that really excite you. Make sure to take some classes you're passionate about; don't load yourself up with uninspiring classes just for the sake of meeting your requirements quickly.


Do AP credits or an IB in mathematics fulfill the Quantitative Reasoning Requirement?

AP credits or IB credits do not fulfill the QR requirement. Many
transfer credits do count, however.


Do any non-math classes fulfill the Quantitative Reasoning Requirement?

Yes. Physics I, II and III, Chemistry II, all advanced Chemistry Classes, Field Ecology and Data Analysis, and Biomechanics all meet the QR requirement. Intro to Chaos and Fractals, an interdisciplinary class that combines math with lots of other things, also meets the requirement.


What Math is Needed for Other Classes?

The short answer is that it depends. Ask the teacher of the class you're interested in taking. This is just a very rough guide.

What math is needed for graduate school?

  • This depends, of course, on what sort of graduate school you're interested in. I believe that almost all science grad schools as well as medical and veterinary schools require two terms of calculus. These programs also usually require at least two terms of physics too. Some social science/economics programs probably also require some calculus and also a term or two of statistics. For a more definitive answer, you should consult the grad school(s) you're interested in. Most graduate programs list admissions requirements on their website. Depending on the sort of economics program you're interested in, you may also need some additional advanced classes, such as Calculus III, Linear Algebra, or computer programming. Most science grad schools will also want you to have taken some physics.


Who should take Introduction to Chaos and Fractals?


Do math courses taken at other colleges "count"?

  • In general, yes, math classes at other college can meet COA's QR requirement. But to be sure, you should check with me and/or the college registrar. Taking a course at another college is a good option for some students, especially those who are having a difficult time fitting all the COA requirements into their schedule and/or who might rather take their math at a less expensive college.

Can I place out of the QR requirement?

  • No. Regardless of whatever math you've had before you came here, you need to take one QR course while at COA (unless you're a transfer student.) The idea is that all students, as part of their interdisciplinary B.A. in human ecology, should take at least one course that requires quantitative reasoning or symbolic thinking.

Should I take Calculus? Am I ready for Calculus? Do I need to take Calculus?

Here are some things to consider as you're contemplating whether or not to take calculus.
  • Many students who are good at and/or like math feel they are ``supposed to'' take calculus. Perhaps their parents or siblings took calculus in college, or maybe they want the challenge, or maybe they just feel it's next in line. For many of these students, calculus is indeed an appropriate and fun course. However, statistics is another option. Statistics is, arguably, more important for a human ecologist than calculus. And statistics is certainly used more in other classes at coa than calculus. So, don't feel like you "have to" take calculus. Take it if you want to take it.
  • On the other hand, calculus is required by many graduate schools. So, if you're planning on going to grad school in the sciences or even the social sciences, you'll probably need to take calculus at some point.
  • Also, calculus is required for most of advanced math classes offered at COA, including: Differential Equations, Chaos and Complex Systems, Calculus III, and Linear Algebra. If you think you might be interested in advanced physics or math, it's a good idea to take calculus sooner rather than later.
  • If you had a decent algebra and trig course at some point in your past, you're probably ready for calculus. It's not important that you remember lots of trig identities and the properties of logarithms. It is important, however, that you've had some practice working with and thinking with functions. Calculus is not a very difficult course; it is not a huge leap harder than Precalc or algebra and trig. Many students (myself included) found calculus to be significantly less difficult than precalculus. For most, calculus "makes sense" and is a lot more logical than precalculus or trigonometry. If the last math class you took was a long time ago, don't worry. There are lots of tutors to help you remember the stuff you might have forgotten. It will come back to you quicker than you expect. In the past, students have taken calculus at COA and done very well, despite the fact that their last math class was ten years in the past.

I've taken Calculus before, can I start in Calc II? Should I take Calculus at all?

  • If you had calculus before, I recommend that you not take calculus I, unless you had a really bad calculus experience. If your calc experience was in the ok to pretty good range, then you might consider taking Calc II. In Calc II we cover techniques of integration, applications of integration, and sums and series. We also do a fair amount of review of derivatives. If you had a good, solid calculus experience, then it's probably in your best interest to skip Calc I and II. By solid experience, I mean that you felt like you "got" many of the things you covered in calculus, not that you remember tons of formulas.

    The above is just a set of guidelines, however. If you had calc before, it's probably a good idea to talk with me about what Calc, if any, you should take at COA.


I've taken Physics before. Should I take Physics I? What about Physics II?

  • Physics I concentrates on conservation of energy and momentum, and also covers a basic treatment of Newton's Laws (F=ma and such). If you've had a good physics class before, you probably don't want to take physics I -- it might not be challenging. On the other hand, you'll probably find that Physics I covers familiar topics in a different and (hopefully) interesting way. As such, you might still be interested in Physics I.

    Physics I is an excellent course for students who want to improve their quantitaitve problem solving skills and review algebra. It is taken by many students as their only QR course. I think it's also a course that's well suited for first or second year students.

    Physics II spends about half the time on electricity and magnetism. The topics we covere are fairly standard; if you had physics before, you'll find this part of the class familiar. The other half of Physics II is spent on an in-depth treatment of Einstein's special theory of relativity. This material is rarely taught at this level in high schools or international baccalaureate granting institutions. Thus, even if you've had a fair amount of physics before, you'll probably still learn lots of new stuff in Physics II.

    Biomechanics and Physics III each cover topics that are almost never taught in high school. So if you've had Physics before, you'll definitely learn new stuff in these two courses.

    The above is just a set of guidelines, however. If you have questions about the different physics options at COA, please come see me.


What advanced math courses will be offered?

There are a number of options for those seeking a post-calculus mathy experience.
  • Applied Ordinary Differential Equations was offered last spring (2001) and will almost surely be offered again in 2003-04. Calculus I and II are prerequisites for the course. This course is especially recommended for students with an interest in mathematical modeling, and students interested in going to graduate school in physics, chemistry, some fields of economics, and some sorts of biology.

  • Chaos and Complex Systems was offered in Fall 2001. I expect to offer it again in 04-05. This course is a survey of a range of topics in modern nonlinear mathematics, including, but not limited to: discrete dynamical systems, cellular automata, boolean networks, agent-based models, game theory, chaos, and fractals. Calculus I and II are prerequisites for the course.

  • While not strictly post-calculus, Field Ecology and Data Analysis is an advanced course that uses lots of statistics. This course is strongly recommended for students with a good math aptitude who are interested in field biology.

  • There are a number of tutorials or independent studies that are available. I have twice offered Calc III as a tutorial, and I expect to do so again in 03-04. This spring I anticipate offering a tutorial in Linear Algebra. Please talk to me if you're interested in these, or any other advanced math or physics topics.


Is computer programming offered?

  • Yes. There is an introduction to c++ course offered as a tutorial. See me if you're interested. I've also supervised independent studies in various aspects of programming. I am considering offering an intermediate programming tutorial in 03-04 which will emphasize data structures and algorithms.

Is astronomy offered?

  • It is unlikely that astronomy will be offered as a course this year or next. However, there are great opportunities for independent studies and tutorials. See me if you're interested. You could also talk to John Visvader; he's led astronomy tutorials in the past and also takes care of the college's telescope. Astronomy tutorials and independent studies can be designed for students with any sort of a math background.


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Questions about the contents of these pages or about math at the College of the Atlantic should be sent to Dave Feldman at dave@hornacek.coa.edu.