Maths needed for civil/mech engineering

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Discussion Overview

The discussion revolves around the mathematics courses required for a degree in civil engineering, with some comparisons to mechanical engineering. Participants seek to outline essential math topics and express varying opinions on the necessity and extent of specific courses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that calculus I, II, III, differential equations, and linear algebra are fundamental for civil engineering.
  • Others argue that linear algebra may not be required for most civil or mechanical engineering programs, emphasizing the importance of calculus and differential equations instead.
  • A few participants mention the relevance of numerical methods and finite element analysis, indicating that these may be beneficial for advanced topics.
  • There is a suggestion that multivariable calculus is typically covered in calculus III, but this may vary by university.
  • Some participants express surprise at the perceived lack of emphasis on linear algebra, with suggestions to take additional courses if interested.
  • One participant notes that the necessity of linear algebra is tied to computational methods used in engineering analysis.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the necessity of linear algebra for civil engineering, with multiple competing views on the required math courses and their relevance to the field.

Contextual Notes

Participants highlight that course requirements may vary by university, particularly regarding the coverage of multivariable calculus and the necessity of linear algebra.

dontdisturbmycircles
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I always feel guilty posting questions, :redface:, but I need some help.

I am trying to find out a basic outline of the math courses needed to graduate with a degree in civil engineering. The obvious ones are calc I II III, diff EQ's, lots of linear algebra, but what else? Oh and multivariable calc of course (is that covered in calc III? I think it is, but only to a mild extent)

I looked all around the net but could only find info on first year programs. Could someone give me some information in this regard? Thankyou very much in advance! :smile:
 
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calc 3 is multivariable, I think that's about it though for civil/mech, maybe a course in partial diffs and soe extra physics courses.
 
I don't think linear algebra is required for most mechanical/civil engineering programs. Calc 1-3 and diff eq. definitely.
 
dontdisturbmycircles said:
lots of linear algebra

Not exactly lots of linear algebra. Only the basics. The rest depends on your interests.
 
Certainly, you should be familiar with
algebra, geometry, and trigonometry...
introductory calculus, including vector algebra and vector calculus.
Linear algebra (i.e. matrix methods) is needed to solve [possibly huge] systems of equations.
Ordinary and Partial diff eqs and Complex Variables would be useful for more advanced topics.
Numerical methods, including Finite Element methods, might be good.
 
dontdisturbmycircles said:
I always feel guilty posting questions, :redface:, but I need some help.

I am trying to find out a basic outline of the math courses needed to graduate with a degree in civil engineering. The obvious ones are calc I II III, diff EQ's, lots of linear algebra, but what else? Oh and multivariable calc of course (is that covered in calc III? I think it is, but only to a mild extent)

I looked all around the net but could only find info on first year programs. Could someone give me some information in this regard? Thankyou very much in advance! :smile:

civil engineering will require less math than mechanical engineering...

MEs usually have to take at least calc 1-3, DE, prob/stats, advanced engineering math, and a numerical methods course. There will also be some PDE and linear alg in your engineering courses too, but you may not need a stand alone course in these subjects. You can usually pick up what you need in the engineering courses.

and calc 3 is multivariable calc and vector calc.
 
Hello, Civil Major here.

Algebra, Geometry, Single Variable Calculus, Multivariable Calculus, Vectorial Calculus, Intro to DE (most enphasis on ODE), Intro to Linear Algebra (Mostly Matrix Methods) and Numerical Methods.
 
Thankyou everyone. I appreciate that a lot. :)

I am surprised, I thought there would be more linear algebra and stuff. But I suppose that if I am interested in LA I can take a few extra math courses as radou said.

Anyways, thanks again.
 
Cyclovenom said:
Hello, Civil Major here.

Algebra, Geometry, Single Variable Calculus, Multivariable Calculus, Vectorial Calculus, Intro to DE (most enphasis on ODE), Intro to Linear Algebra (Mostly Matrix Methods) and Numerical Methods.

I forgot! also a Probability and Statistics course.

Btw, FEA is a graduate course in most universities.
 
Last edited:
  • #10
Posted by: leright
...calc 3 is multivariable calc and vector calc

The assumption that calc 3 is multivarible largly depends on your university system.

So check with the university before jumping to that conclusion. For instance at my university, calc 3 does introduce multivarible calculus; however, there is a 4th term of calculus that fully addresses multivarible calculus, and is required of both engineering and physics majors.

Just wanted to put that out there.
 
  • #11
dontdisturbmycircles said:
I am surprised, I thought there would be more linear algebra and stuff. But I suppose that if I am interested in LA I can take a few extra math courses as radou said.

Do so, since LA is extremely fundamental and will be of a lot of help to you, specially if you get into numerical math.
 
  • #12
(Multi)linear algebra, as matrix algebra, is essential partly because almost all computational mechanics methods are matrix based. And by far the most common engineering analysis method is, as mentioned earlier, finite element analysis. This is almost invariably done by computer.

However, it's not just about computer methods. Manipulating the components of vectors (forces, velocities), 2nd order tensors (stresses, strains), etc is often best done with matrices.
 

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