<p>I suppose that Boeing that pick the cream of the crop. It is probably the ME/engineering equivalent of Google or Facebook.</p>
<p>I’m hoping that the rest of the world realizes that we need to be encouraging more engineers, rather than trying to make it more difficult for people to find work.</p>
<p>Wonder how many of the folks that are requiring 3.6 GPAs actually got the same themselves? :)</p>
<p>To answer the math for different engineering disciplines question - here’s what I know…</p>
<p>EE - probably the heaviest especially communication theory and the like - serious calculus, some guy called Fourier, and the like. Math is needed early and often.</p>
<p>Civil - early classes not too bad, some math and the like for Thermodynamics, Fluid Mechanics, and the like, but the heavy lifting is towards the end, prestressed concrete, structures, plates and shells, etc. Not fun but we’re not talking EVERY class.</p>
<p>Mechanical - depends on specialty or focus, in my experience about as math intensive as Civil, maybe a bit more.</p>
<p>Industrial - the easiest calculus wise but lots of statistics, probability, and the like. No calculus 
but some simulation/modeling classes have very entertaining math. </p>
<p>Chemical - not 100% sure, but in my days it was almost as math-y as EE. </p>
<p>Computer Engineering - EE lite to full EE</p>
<p>Getting thru Civil or Industrial is easy if you are lousy in calculus (how do I know…) but EE / Chem, not so likely…</p>
<p>Son’s new Facebook picture.</p>
<p><a href=“http://db.tt/s5tuCx8z[/url]”>http://db.tt/s5tuCx8z</a></p>
<p>or</p>
<p><a href=“Dropbox - File Deleted - Simplify your life”>Dropbox - File Deleted - Simplify your life;
<p>My D is an Industrial Engineering major, and took Calc I-IV, Differential Equations, and lots of stats and probability.</p>
<p>Shrinkboy appears to have shrunk a bit, but he’s retained a sense of humor.</p>
<p>The C on that midterm is a great accomplishment. Infinite Series is not an easy topic to understand and a lot of Engineering students who can manage integration techniques fail the course because they have such a poor grasp of Infinite Series.</p>
<p>I think that Shrinkson worked hard and it paid off. I can understand that he feels frustrated that Calculus comes much easier for some students than it does for him but one of the hard facts of life is that not everyone has the same inherent ability and some will have to work much harder than others to get the same results. It is not fair but it is the way things are. There will always be someone who is smarter than you are and it is natural to be a little envious. One thing he should keep in mind is that he is not comparing himself to a group of randomly chosen individuals off the street but people that were able to get into college and take a difficult major like Engineering. He does not see the much larger group of people that do not go to college and even attempt a course like Calculus.</p>
<p>I still think that for the cummulative final he needs to be studying eight hours a day. He seems to have Infinite Series under control but he has to improve his ability to solve integrals. That means doing an enormous number of practice problems because acquiring the skills needed to solve a difficult integral can only come from endless practice solving integrals.</p>
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</p>
<p>Ouch. I just checked and my IE alma mater (Purdue) does require those too… A lot of IE schools did not ask anything past Calc II back then… Interestingly enough one of our main rivals (University of Michigan) stops at Linear Algebra & Multivariate Calc but that’s a far cry from times past… So I stand corrected…</p>
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<p>Presumably they meant Calc I-III and DiffEq because Calc IV is DiffEq. And that linear algebra course is a half-DiffEq half-Linear Algebra course. Also, the probability and statistics requirements are within the IOE department, rather than within the Math and Stats departments.</p>
<p>The textbooks were one of his profs. He sseems to be closer to them than I EVER was. I think that’s a good thing.</p>
<p>Here is something else he posted. I dont have a clue.</p>
<p><a href=“http://db.tt/eo6EKYMA[/url]”>http://db.tt/eo6EKYMA</a></p>
<p>Give me the good ole Krebs cycle!</p>
<p>Re: <a href=“http://db.tt/eo6EKYMA[/url]”>http://db.tt/eo6EKYMA</a></p>
<p>The recently discovered evidence of the existence of the Higgs Boson was a major news event in physics. See [Higgs</a> boson - Wikipedia, the free encyclopedia](<a href=“http://en.wikipedia.org/wiki/Higgs_boson]Higgs”>Higgs boson - Wikipedia) .</p>
<p>Re: [integrate</a> (x^2+9)/((x+8)^3(x-5)^2(x+9)) - Wolfram|Alpha Results](<a href=“integrate (x^2+9)/((x+8)^3(x-5)^2(x+9))]integrate - Wolfram|Alpha”>integrate (x^2+9)/((x+8)^3(x-5)^2(x+9)) - Wolfram|Alpha)</p>
<p>That is a computer program integrating a function that would be considered very laborious to do by hand. It would be a rather sadistic calculus instructor who puts a problem like that on a test.</p>
<p>Ahh ! I deleted the last bit because I had no idea what it was, but it was related to a post on Facebook about a problem.</p>
<p><a href=“http://db.tt/ccPknkXs[/url]”>http://db.tt/ccPknkXs</a></p>
<p>Something about trying it without substitutions? </p>
<p>A friend linked the program. Not sure if prof was serious.</p>
<p>No more Facebook for me…</p>
<p>Glad gsmomma corrected that about Industrial engineering. I was just getting ready to correct it myself! My son is going to be a senior in Industrial and also had to take all of the calculus, differential equations. No way around it.</p>
<p>Shrinkrap, a few practical suggestions for categories of problem your son needs to master:
Change of variable in integration, not forgetting to change the endpoints or integration region. Keep in mind that dx means something.
Method of rational fractions.
Integration by parts. How to select what you integrate and what you differentiate, in this connection.
Trig substitutions: when and how.
Integrals that give arctangents, and enough Trig to handle them.
Integrals that give log functions.
Watch out for integrands that diverge within the range of integration.</p>
<p>Stewart would help with all of this. Crash course for a B/C seems feasible to me.</p>
<p>
The point is not which preparatory math classes you need to take - there is probably little difference between the disciplines in which math classes you need to pass. The difference is in how much more math and what type math you will be using.</p>
<p>I only know about EE and physics, but even within the EE undergrad program there are differences in the amount (and more importantly the type) of applied math actually used in the upper division coursework.</p>
<p>If you want to concentrate on power you more likely will just be doing a lot of algebra to solve three phase circuits. Not so much calculus (except for your electromagnetism class which probably everyone needs to take). That’s not to say it’s easier. Just different. I am awful at power circuit calculations so I would never say it was easy.</p>
<p>But if you concentrate in control theory you will be using a lot of Laplace transforms and z transforms, etc.</p>
<p>Similar but slightly different in comunications, a lot of probability, Fourier transforms, Fourier series, FFTs. As turbo implied earlier, if you want to be an EE but abhor calculus this is probably not the concentration for you. </p>
<p>Sure, there’s overlap. I’m sure everyone learns Laplace in their DE classes. But there are subtle differences and you can consider your level of confidence in various areas of math when planning which area of EE you want to go into. And I’m sure there are similar differences between and within the Civil, Mech, Chem, Industrial, environmental, etc disciplines.</p>
<p>Passing it on! Thanks!</p>
<p>Minor point, Vlad, but I took both Calc IV and DiffEq.</p>
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<p>What topics were in your Calc IV class?</p>
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<p>Seems that way - My IE education was a couple decades ago so things have changed… I wonder if ABET has something to do with it.</p>
<p>Calculus 4 is probably multivariable calculus at a quarter system school.</p>
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<p>The only thing I recall offhand was the single day we spent learning about the Div, Grad and Curl functions. It was ‘here they are, do a few problems’. In the full year of Electricity and Magnetism we took as upper classmen (Physics major) we had to think in Div/Grad/Curl in order to do those problems.</p>
<p>The gap between what we did in Math class and what we had to do in Physics class was enormous. At least we touched on Div/Grad/Curl in a math class. For some reason (probably scheduling reasons, as I think we eventually covered the math in math class) we had to learn quite a bit of math on the fly in Physics classes. I can still hear the Physics prof saying ‘I’m seeing a lot of blank faces - haven’t you seen LaPlace Transforms before? Well, there’s nothing to those’ at which point he spent 10 minutes on them, after which he started using them in his Physics lecture, and we started using them in problems. Another example - I never did take enough advanced matrix math, but took a full year of Quantum Mechanics. We just filled in gaps while learing QM.</p>
<p>Anyway, Calc IV topics by chapter in ‘Advanced Calculus’ by Kaplan -</p>
<p>Vectors and Matrices; Differential Calculus of Functions of Several Variables; Vector Differential Calculus; Integral Calculus of Functions of Several Variables; Vector Integral Calculus; Two-Dimensional Theory; Three-Dimensional Theory and Applications; Infinite Series; Fourier Series and Orthogonal Functions; Functions of a Complex Variable; Ordinary Differential Equations; Partial Differential Equations</p>
<p>Ch 0 - Review of Algebra, Analytic Geometry and Calculus
Ch 1 - Matricies and n-Dimensional Geometry
(Matricies, n-Dimensional Geometry and Linear Mappings
Ch 2 - Differential Calculus of Functions of Several Variables
Ch 3 - Vector Differential Calculus
Ch 4 - Integral Calculus of Functions of Several Variables
Ch 5 - Vector Integral Calculus
(Two Dimensional Theory, Three Dimensional Theory and Applications)
Ch 6 - Infinite Series (including Improper integrals vs. infinite series, LaPlace Transforms)
Ch 7 - Fourier Series and Orthogonal Functions
Ch 8 - Ordinary Differential Equations
Ch 9 - Functions of a Complex Variable
Ch 10 - Partial Diff Eq</p>
<p>We skipped Ch. 8-10 as those topics were taught in their own courses.</p>
