Timeline for Long-form, multi-step, skills-integrating applied mathematics problems in calculus I, II, III
Current License: CC BY-SA 4.0
8 events
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| Jan 12, 2019 at 22:17 | comment | added | Sinister Cutlass | I apologize for the oversight, Ben Crowell, but if you take a look at my post again, you will see that I am not so interested in when you teach certain topics in calculus, but rather, in certain kinds of instructional materials you may have used for topics in any part of the calculus sequence, no matter when you taught it. I did place a bit of an emphasis on 'Calc III', which I will characterize as that which deals with the calculus of multi-variable functions and vectorial calculus topics. User guest in this conversation is correct in their descriptions of the calculus sequence I teach. | |
| Dec 31, 2018 at 18:14 | comment | added | Dan Fox | @guest: The meanings of Calculus I, II, III, etc. are not standard within the US, and certainly are not well known outside the US. Generally very few people have much idea about the structure of undergraduate degree programs in countries with which they do not have direct experience, and generally these things are less uniform than one might initially suppose. This sort of question always benefits from making clear that Calculus I is directed to students of such and such a sort and covers such and such topics, that Calculus II is directed to etc. | |
| Dec 31, 2018 at 17:19 | comment | added | guest | So, the former. ;-) Yes, I agree there are many different setups and no rigid standard. It is clear to me, that he is referring to stereotypical American standard though. P.s. A full course in ODE is stereotypically standard in 4th semester. A short module on ODE is common at end of second semester though. (For instance many softer science students don't progress to 4th semester calc, so this is what they get.) You can look at the AP curriculum for instance. Or many books like Swokowski, Thomas, even back to Granville. | |
| Dec 31, 2018 at 16:23 | comment | added | user507 | @guest: I meant what I said. It's not standardized. The terms could refer to years, semesters, or quarters. And the curriculum is different at different schools. For example, at my school ODEs are not in the 3rd semester as they seem to be at your school. They're in the 4th semester. | |
| Dec 31, 2018 at 4:40 | comment | added | guest | Ben, are you just irked by the USism or did you seriously not understand? Even if you are non US, would think you would have been exposed enough on the net to know standard US structure (so I suspect it is the former). Both the terminology and various clues in question make it obvious US sequence. If it is actually the latter, than calc 1: differentiation, calc 2 integration along with simple amount of ODEs and chapter on sequence/series. Calc 3 is divgradcurl, partial differentiation (but not PDEs), line and surface integrals, Stokes/Green theorems. | |
| Dec 31, 2018 at 2:00 | comment | added | user507 | Please tell us what Calc I, II, and III means at your school. There is no standardized definition for these terms. | |
| Dec 30, 2018 at 22:55 | review | First posts | |||
| Dec 31, 2018 at 3:29 | |||||
| Dec 30, 2018 at 22:53 | history | asked | Sinister Cutlass | CC BY-SA 4.0 |