Which derivatives should I review for my DiffEq course?

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Discussion Overview

The discussion revolves around the review of derivatives in preparation for a Differential Equations course. Participants explore which specific aspects of derivatives are most relevant and beneficial for the upcoming coursework, considering the background of the original poster.

Discussion Character

  • Homework-related
  • Conceptual clarification

Main Points Raised

  • One participant suggests reviewing partial derivatives, exponentials, and trigonometric functions, assuming a solid grasp of polynomials.
  • Another participant agrees with the importance of reviewing partial derivatives and mentions gradient vectors and change of coordinate systems as potentially helpful concepts.
  • There is a recognition that gradient vectors and change of coordinate systems are applications related to partial derivatives.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of reviewing partial derivatives and related concepts, but there is no explicit consensus on the full scope of derivatives to review.

Contextual Notes

The discussion does not address specific mathematical definitions or the depth of understanding required for each topic mentioned.

Who May Find This Useful

Students preparing for Differential Equations courses, particularly those with a background in calculus and linear algebra.

matthew9
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Background:
It has been about a year and a half since I took Calc 3 so I am not as familiar with using derivatives as I would like to be. Basically my math dept. had a concentration in math-stats that didn't even require differential equations at all, so I wasn't expecting to take the course. Now that I am moving into the computational math concentration I need to take the course. I have done Calc 1-3, Linear Algebra, and two introductory proof classes one which got into some Advanced Calc stuff (metric spaces, equivalence relations, etc...)

Question:
As stated in the topic, which aspects of derivatives should I review for Diff. Eq?
 
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Assuming you already have a solid grasp of polynomials, I would recommend reviewing partial derivatives, exponentials and trig functions.
 
RUber said:
Assuming you already have a solid grasp of polynomials, I would recommend reviewing partial derivatives, exponentials and trig functions.
Yes I do and that is one of the areas that came to mind. Thank you! Would you recommend going over gradient vectors or change of coordinate systems?
 
Those are always helpful; it seems like those concepts are closely related to partial derivatives and are a likely application.
 
RUber said:
Those are always helpful; it seems like those concepts are closely related to partial derivatives and are a likely application.
Yeah they are applications. I really appreciate your help so thank you again.
 

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