Full course of Vector Analysis vs Griffith Text self study?

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SUMMARY

A full course in vector analysis is not strictly necessary for students preparing for Griffith's Electrodynamics, as the foundational concepts are covered in the initial chapters of the text. The discussion highlights that prior coursework in Calculus I-III, including topics like partial derivatives and integrals, provides sufficient background. While some participants argue that Griffith's text lacks depth compared to Jackson's, others defend its rigor and suitability for undergraduate studies. Ultimately, the decision to pursue additional vector analysis coursework depends on individual academic goals and preparedness for advanced topics.

PREREQUISITES
  • Understanding of Calculus I-III concepts, including partial derivatives and integrals.
  • Familiarity with Griffith's Electrodynamics, particularly Chapter 1.
  • Basic knowledge of vector calculus, including divergence, gradient, and curl.
  • Awareness of advanced texts like Jackson's Classical Electrodynamics for comparative depth.
NEXT STEPS
  • Review Griffith's Electrodynamics Chapter 1 for vector calculus concepts.
  • Explore Jackson's Classical Electrodynamics for a deeper understanding of the subject.
  • Practice problems from both Griffith's and Jackson's texts to assess preparedness.
  • Investigate additional resources on differential forms and their applications in physics.
USEFUL FOR

Undergraduate physics students, particularly those preparing for advanced courses in electromagnetism and vector calculus, as well as educators seeking to understand the comparative rigor of different physics texts.

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Senior in Fall. Is a full course on vector analysis necessary: Stockes theorem, Green Theorem, differential forms, etc.
I feel like Griffith's Electrodynamics gives a sufficient overview of Vector analysis in Chapter 1 covering all you need. I've only taken the required Calc 1 - 3 sequence + odes and find I learn most of my math "on the spot" otherwise it goes out the door but many encourage me to take as much math as possible. I rather focus on my upper levels this semester: Atomic Physics and Thermal but I'd like your take on it.

Thank you
 
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Didn't your Calculus III course cover partial derivatives, div, grad, curl, and surface, volume and line integrals? If it did, then you should be fine with Griffiths. The material in chapter 1 (or is it 2?) is intended as a review.
 
If you are gauging whether you are prepared or not based upon Griffith's Electrodynamics, I suspect NOT. While Griffith's is an okay book, it is not rigorous or deep. In fact, it is considered a fluff book in comparison to many others, especially Jackson. Look over a copy of Jackson's and try to do a few of the easier problems. If you succeed, I am probably wrong in your case, and you are adequately prepared to blow off any further study.
 
CalcNerd said:
If you are gauging whether you are prepared or not

...which of course depends on what he's trying to prepare for. Based on a hasty reading, I assumed he was trying to prepare for Griffiths E&M. If he's looking to prepare mathematically for grad school, that's another matter!
 
CalcNerd said:
If you are gauging whether you are prepared or not based upon Griffith's Electrodynamics, I suspect NOT. While Griffith's is an okay book, it is not rigorous or deep. In fact, it is considered a fluff book in comparison to many others, especially Jackson. Look over a copy of Jackson's and try to do a few of the easier problems. If you succeed, I am probably wrong in your case, and you are adequately prepared to blow off any further study.

This is stupendously terrible advice. OP please don't heed this. Griffiths is an excellent and deep text. Anyone who considers Jackson deep has clearly never done Jackson.

The calculus sequence you have taken should be enough. Vector calculus is an easy enough subject that the review in chapter 1 will suffice if you've already finished the calculus sequence.
 
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WannabeNewton said:
This is stupendously terrible advice. OP please don't heed this. Griffiths is an excellent and deep text. Anyone who considers Jackson deep has clearly never done Jackson.

Jackson, making you question your entire path in life in one course.
 
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Mea culpa. I certainly came out harsh with my advice. If I he is preparing for Griffith's E&M as jtbell surmises, he is prepared.
 

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