Vector calculus and E&M physics as a engineering major?

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Discussion Overview

The discussion revolves around the challenges faced by an engineering major at a community college regarding the decision to take Calculus 3 and Electromagnetism (E&M) concurrently while managing a full-time job. Participants share their experiences and advice on balancing coursework and work commitments, as well as the prerequisites and difficulty levels of the courses involved.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related
  • Technical explanation

Main Points Raised

  • The original poster (OP) expresses concern about managing the workload of Calculus 3 and E&M while working 40 hours a week, seeking advice from others who have taken these courses under similar circumstances.
  • Some participants emphasize the importance of clarifying whether the OP is referring to introductory or advanced undergraduate courses in Mechanics and E&M, as this significantly affects the expected workload.
  • One participant shares their experience of successfully managing a heavy course load, suggesting that group study sessions can be beneficial.
  • Another participant notes that while Calculus 3 may provide some useful concepts for E&M, much of the calculus involved in E&M is relatively simple and may not require extensive knowledge from Calculus 3.
  • Some participants argue that having a strong foundation in Linear Algebra and Calculus 3 prior to taking E&M can enhance conceptual understanding, particularly regarding fields and vector calculus.
  • There is a discussion about the feasibility of delaying E&M until after completing all calculus courses, with some arguing that this is not realistic for timely progression in an engineering program.

Areas of Agreement / Disagreement

Participants generally do not reach a consensus on the best approach to take regarding the course load and prerequisites. There are competing views on the necessity of taking Calculus 3 before E&M and the impact of concurrent enrollment on understanding the material.

Contextual Notes

Some participants mention that the prerequisites for introductory E&M typically include basic calculus, which may not necessitate completing all calculus courses beforehand. There is also uncertainty regarding the specific curriculum and course offerings at the community college in question.

Erick Zamora
I am an engineering major at Los Angeles Pierce community college. I have been for the last years working 40 hours a week in order to sustain and put myself through community college. After I transfer, I don't plan on working. Now, each semester due to my work schedule and life happening, I can only take two classes. So far these two classes have consisted of a hard science or math class ( Calculus 1,2 or Physics 101, Chem 101 etc.), and a general education class ( music, english 101, 102, philosophy, etc.).
Although it was a bit tough, I barely managed a balance in life with those classes and achieved a 3.9 GPA. However, I am done with the general Ed classes. Now that's a good thing but it puts me in a dilemma because I only have hard classes from now on. This semester the only classes that I can take are Calc 3 and E&M.

Some of my fellow classmates swear that E&M is one of the hardest courses on campus and Calc 3 does not fall behind, and I believe them because I took Mechanics and calc 2 already. These courses required a lot of my time. So I guess what I am looking for is someone that has taking Calc 3 and E&M while working 40 hours a week . Has anyone here been able to and if you did how was your life/college/work balance? Or should I just take one class in the meantime that I transfer? or if you can give me and advice on what to do it woud be awesome?
 
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You need to clarify something a bit more here.

Typically, a community college does NOT teach advanced undergraduate Mechanics and E&M courses. So when you said that you've taken Mechanics and now wondering if you should take E&M, are you referring to Intro Physics Mechanics and Intro Physics E&M?

There is a large difference between Intro Physics E&M (at the level of, say, Halliday and Resnick), versus advanced undergraduate E&M (at the level of Griffith). This includes a significant difference in the amount of time and effort required. Until you can clarify that, it is difficult to make any kind of solid recommendation.

Zz.
 
ZapperZ said:
You need to clarify something a bit more here.

Typically, a community college does NOT teach advanced undergraduate Mechanics and E&M courses. So when you said that you've taken Mechanics and now wondering if you should take E&M, are you referring to Intro Physics Mechanics and Intro Physics E&M?

There is a large difference between Intro Physics E&M (at the level of, say, Halliday and Resnick), versus advanced undergraduate E&M (at the level of Griffith). This includes a significant difference in the amount of time and effort required. Until you can clarify that, it is difficult to make any kind of solid recommendation.

Zz.
Yes, well I thought it was not necessary to specify because, well as you said, community college only teaches intro Physics and mechanics. So yes, Intro courses is what I am talking about, not advanced undergraduate courses.
 
It is doable. I went back and looked at what I took, and I was taking 18 hours the same semester as taking those 2 classes. Statistics was the only other technical class that I took during that semester. I was not working at that time.

What I found useful was to study in a group, maybe 4 or 5 students. We'd have "Calculus parties" at somebodies house and have pizza etc. (no alcohol).

I went to www.piercecollege.edu and found the catalog, to see what it said about those courses. It shows 5 hours Lecture for the Math 263 (Calculus3) course. Is there any computer lab? We had a Maple computer lab, which I found helpful... especially when you are trying to do some field and vector plots.

That's my input.
 
scottdave said:
It is doable. I went back and looked at what I took, and I was taking 18 hours the same semester as taking those 2 classes. Statistics was the only other technical class that I took during that semester. I was not working at that time.

What I found useful was to study in a group, maybe 4 or 5 students. We'd have "Calculus parties" at somebodies house and have pizza etc. (no alcohol).

I went to www.piercecollege.edu and found the catalog, to see what it said about those courses. It shows 5 hours Lecture for the Math 263 (Calculus3) course. Is there any computer lab? We had a Maple computer lab, which I found helpful... especially when you are trying to do some field and vector plots.

That's my input.
Thanks for the input. Unfortunately there is no lab for calc 3. The physics is also 5 hours lecture. Since they are taken concurrently, does one complement the other? What I'm thinking is that because I need the math from calc 3 for physics 102, this would reduce some study time since studying for one would mean also studying for the other. Is this the case?
 
Erick Zamora said:
Thanks for the input. Unfortunately there is no lab for calc 3. The physics is also 5 hours lecture. Since they are taken concurrently, does one complement the other? What I'm thinking is that because I need the math from calc 3 for physics 102, this would reduce some study time since studying for one would mean also studying for the other. Is this the case?

In my experience, no. At least where I went to school, most of the Calculus in Physics 2 was relatively simple. It usually consisted of integrating dx, which wasn't exactly very hard. Some of the 3D stuff with vectors and dot products and cross products does help with Physics 2, but there's also a lot you learn in Calculus 3 that you will not use in Physics 2.
 
rwm4768 said:
In my experience, no. At least where I went to school, most of the Calculus in Physics 2 was relatively simple. It usually consisted of integrating dx, which wasn't exactly very hard. Some of the 3D stuff with vectors and dot products and cross products does help with Physics 2, but there's also a lot you learn in Calculus 3 that you will not use in Physics 2.
I was under the wrong impression then. I know our schools are different but I don't think, as far as those two classes go, that it would be different. The fact that I need a full time job for right now will stop me from taking these two classes. I have to admit I was really excited, but that is not justification for a stressful semester and probably some bad grades. I know for a fact that it would be doable with less work hours, perhaps even add more classes, but like I said for now I can't do that. Thank you so much for the info.
 
It would have helped if you have taken Linear Algebra and Calculus 3, before the intro EM. It helps with the conceptual understanding. Ie, Understading what a field is, Gauss Law, and Div/Grad/Curl. The math is self-contained. You can learn this in a day.

I had completed all my math before I took intro EM. I found it easy, while others struggled.
 
MidgetDwarf said:
It would have helped if you have taken Linear Algebra and Calculus 3, before the intro EM. It helps with the conceptual understanding. Ie, Understading what a field is, Gauss Law, and Div/Grad/Curl. The math is self-contained. You can learn this in a day.

I had completed all my math before I took intro EM. I found it easy, while others struggled.

While this may be helpful (knowing MORE than what is needed is always useful), I don't think this is realistic. The prerequisites for intro physics E&M is basic calculus, i.e. a student needs to know basic differentiation and integration, which is usually obtained from a Calc. 1-type course.

To wait to finish all of basic calc. and differential calc. will mean that a student will have to delay finishing intro physics until the end of his/her second year! That is just not realistic because it is causing a chain reaction of delaying the "meat" of the physics course.

Zz.
 
  • #10
I took Cal 1 and Linear Algebra together. Since the student is in the same CC I was in. You are allowed to take Differential Equations after Calculus 2.
 
  • #11
MidgetDwarf said:
I took Cal 1 and Linear Algebra together. Since the student is in the same CC I was in. You are allowed to take Differential Equations after Calculus 2.

But you are telling this student to finish up all the way to Calc. 3 before taking intro E&M. Unless there is an accelerated sequence, in a typical college program, this will take 3 whole semesters, or a while year. It means that, at worse, the student will not finish the intro physics sequence until the end of the sophomore year.

The question isn't whether these courses should be taken. The question is whether they are NEEDED for these classes. As someone who was a student (albeit a long time ago) and also someone who is currently teaching this exact course, I do not see the need to know differential equation or linear algebra. We introduce E&M and Maxwell equation in their integral forms, and the "integration" that are done are pretty basic that any Calc. 1 student can perform.

Zz.
 
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  • #12
ZapperZ said:
But you are telling this student to finish up all the way to Calc. 3 before taking intro E&M. Unless there is an accelerated sequence, in a typical college program, this will take 3 whole semesters, or a while year. It means that, at worse, the student will not finish the intro physics sequence until the end of the sophomore year.

The question isn't whether these courses should be taken. The question is whether they are NEEDED for these classes. As someone who was a student (albeit a long time ago) and also someone who is currently teaching this exact course, I do not see the need to know differential equation or linear algebra. We introduce E&M and Maxwell equation in their integral forms, and the "integration" that are done are pretty basic that any Calc. 1 student can perform.

Zz.
I did not say such thing. I said it would had helped in regards to conceptual understanding. I also mentioned that the mathematics is self-contained.
 
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