How important are these two math classes?

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Discussion Overview

The discussion centers on the importance of Linear Algebra and Discrete Math for students pursuing Electrical Engineering (EE) and Computer Science (CS). Participants explore the relevance of these math classes in relation to their future coursework and foundational knowledge in mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses concern about the necessity of taking Linear Algebra and Discrete Math, questioning their importance for an EE major and the overall workload involved in completing these prerequisites.
  • Another participant asserts that Linear Algebra and Discrete Math are essential for EE, alongside calculus and differential equations, suggesting that symbolic logic is not beneficial for Linear Algebra.
  • A participant humorously reflects on the heavy course load and seeks clarification on the content of Calculus III, specifically its relation to multivariable calculus.
  • Further clarification is provided regarding the naming conventions of Calculus III and its content, which includes topics relevant to multivariable calculus and vector analysis.
  • One participant emphasizes the importance of Linear Algebra in physics and describes Discrete Math as relatively easy and enjoyable, noting its connection to Computer Science.
  • Clarification is made regarding the prerequisite structure, specifically that an introductory course in symbolic logic is required before taking Discrete Math.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and relevance of Linear Algebra and Discrete Math for EE and CS. While some argue for their importance, others question their necessity, indicating an unresolved debate on the topic.

Contextual Notes

Participants mention varying course names and structures across institutions, which may affect the perceived importance of these math classes. There is also uncertainty regarding the prerequisites and their implications for course planning.

FancyNut
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I'm having some problems planning the next few semesters. I'll be taking full loads, 18 units of engineering(EE)/computer science (minor) classes.

One thing is bugging me, a comp science class that I don't need for the minor but requires 3 pre-requesites: philosophy: symbolic logic, linear algebra, and discrete math. I can only squeez in one class at a time, so it'll take two years to take that comp science class (AUTO LANG+COMPUTN) and its pre-reqs.

Now I don't need that class, however I do need (or just want...) the following:

- a good foundation in math. Those two classes sound pretty good. :-)

- After finishing a minor, being able to take a few high-level Computer science classes like robotics or software engineering. Not many require 310 (that compsci. class) as a pre-req, but many need 'instructor consent' and I'm sure that class will weigh in.


So is it worth it? There is some sort of middle ground, by taking just linear algebra. Discrete math requires I take philosophy: intro to symbolic logic first so lin. algebra is more accessible.

I'd also like to know how important those two math classes are for an Electrical Engineer. Obviously the more math the better, but will I be using much of it? For EE majors at my school we only need to take Cal I-III and diff. equations.



Thanks for any advice. :smile:
 
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Linear Algebra and Discrete Math are a definite requirement for an EE as far as math goes, other than calculus (single and multivariable) and diff eq. I don't think you need symbolic logic for linear algebra, as it has nothing to do with it nor will it be benefecial for linear algebra. A lot of those philosophy and sophomore-level based classes will be a derivation of some higher aspects from senior classes, so I'd rather pass on that and go straight to senior level classes and/or graduate level classes without wasting your time
 
Doh! I was hoping someone would say 'nah not really' and it'd be over. :biggrin:

That's 21 units of madness next semester! :smile:


Btw multivariable calculus is usually covered in calculus III, right? After your post I looked up the catalog and couldn't find a class for it. It's also not in the description for 'Advanced Calculus.' I called the math department and they say multi-var. is Math Analysis III (which is basically calIII for eng/sci in our school). The course description is 'solid analytic geometry, partial differentiation, and multiple integrals with applications.' Does that fall under multi-variable calculus? I thought calculus III is just I and II in 3d or something like that. :confused:

Anyway thanks for the advice!
 
What they call "Calculus III" at some schools is "Multivariate" or "Multidimensional" calculus at others, and I've heard a few places call it "Calculus IV" (scheduling differences?).
Math Analysis III (which is basically calIII for eng/sci in our school). The course description is 'solid analytic geometry, partial differentiation, and multiple integrals with applications.''
That sounds right, although I can't guess why it's called "Analysis".

Rough idea of what's covered in multivariate (from Larson/Hosteler/Edwards, "Multivariate Calculus"):

Vector-valued functions
Arc length, curvature
Functions of several variables
Partial derivatives
Lagrange multipliers
Multiple (iterated) integrals
Change of variables (integrating in polar/spherical coordinates)
Jacobians

and some introductory vector analysis (this is critical for E&M!):
Vector fields
Line/surface integrals
Divergence/Curl/Gradient (ironically enough, Maxwell didn't know about these when he first formulated his 4 Equations! His paper was a mess - my professor told me this.)
Conservative vector fields
Parametric surfaces
Green's & Stoke's theorem

Linear algebra is essential to physics. Discrete math is almost the easiest course offered (after Statistics); it's all fun and games, and binary algebras. It ties in with Comp. Sci. very well.

intro to symbolic logic first so lin. algebra is more accessible.
They're mostly unrelated subjects.
 
Thanks for clearing that up. :smile:

And the philosophy: intro to symbolic logic course is a pre-requisite for the discrete math course, sorry for the confusion. :redface:
 

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