Mathematics for engineering (1 Viewer)

[astroman]

rip if you enter engo with general math

depends how bad people wanna study.

 

[InteGrand]

apparently in one of the first lessons you learn eulers formula e^ix = cisx ?
How are you going to explain this to a general student on the first day..

Do General Maths students even see the number e?

 

[Shadowdude]

Do General Maths students even see the number e?

Do they even know what 'sin' and 'cos' are

 

[InteGrand]

Do they even know what 'sin' and 'cos' are

Yes (at least for triangles) – I checked their data sheet just before asking that (I was going to add whether they see sin and cos).

( http://www.boardofstudies.nsw.edu.au/syllabus_hsc/pdf_doc/maths-general-2-formulae-14.pdf )

 

[Shadowdude]

So I'm guessing they haven't seen sin and cos as functions... and god help them if the angle is bigger than 90 degrees

also they'd have to learn how to use radians


It's just going to be a mess

 

[InteGrand]

So I'm guessing they haven't seen sin and cos as functions... and god help them if the angle is bigger than 90 degrees

also they'd have to learn how to use radians


It's just going to be a mess

They might use it for obtuse angles too (since they have the sine rule and stuff in that formula sheet).

But yeah, I don't think the sine and cosine functions are in the General syllabus.

 

[Shadowdude]

They might use it for obtuse angles too (since they have the sine rule and stuff in that formula sheet).

But yeah, I don't think the sine and cosine functions are in the General syllabus.

that is true, although i'm sure they'd just accept it on faith and not actually look at the unit circle like the 2u kids do and see where it comes from

 

[D94]

Hi there, I definitely want to do engineering in university but I see that most assumed knowledge is math extension 1. The issue is that I'm currently doing general math and I'm wondering how essential this is and whether it is super necessary to take on a bridging course or not.

If it helps, I'm doing great at engineering, physics and general math!

With only general maths, a bridging course is necessary. General maths is not a calculus based course nor does it have any basic uni linear algebra (which can be found in the Mathematics 2U subject), so you wouldn't even be exposed to the basics of engineering maths.

 

[Sien]

Dw calculus in 2u isn't actually that bad, you'll pick it up pree quickly

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[Drongoski]

My engineering studies teacher's daughter does Civil engineering at UTS and she used to get 90's in General. In uni, she get's low 50's in math exams. That's just an example though, you can always do the summer school where they teach you what you will need to know before uni starts, or you can learn it yourself with some dedication, summer school is intensive and expensive but may be worth looking into. But generally, engineering 1st year is about 4u math equivalent, it just increases as you progress , but it depends on your major as well. Just remember that getting into uni is the hard part, once your in, you will have help available. Study now to get the best ATAR since Math extension 1 is only "ASSUMED" not a prerequisite.

Here we go again. Another student suddenly decides he wants to do Engineering. If Gelobro wants to do Engineering, with Gen Maths, he must be joking. If you are weak in Maths, you should forget Engineering; maybe Engineering has become a lot easier over the last 20 years. If you are not weak in Maths, how come you are doing only Gen Maths? General Maths is very elementary.

@Op: most reasonably good students have to work hard for 2 years for Maths Ext 1, and a lot harder for MX2. With just a General Maths, you expect to be able to cover all that in a Summer School or even a shorter Bridging course. Here again we have someone, with the best of intentions, providing you with encouragement. MX1 is only assumed knowledge, you are reminded. Used to be clearly spelt out what the Prerequisites for any given university course are. No longer! You know why? Because the universities have become irresponsible and dishonest. By not making MX1 (and with good grades) a prerequisite, the universities are no longer bound to exclude students like you from pursuing a course like Engineering. They want your enrolment. They need lots of students enrolled so they can have more fees to pay for the running of the uni. Do they care if you struggle and later wake up to the fact you are not good enough for the course.

And what makes you say you are good in Engineering? Are you doing Engineering Studies? Engineering Studies is no foundation for Engineering; Maths and Physics are.

 

[iforgotmyname]

Oh, General... ok your gonna have to either study on you own using online education courses like Khan's Academy or you would have to rely on a bridging course.... Good luck, dont die

 

[DatAtarLyfe]

Its nice to see that people are giving the cold honest truth and not trying to sugar coat this shit. Bottom line: theres no way you doing it

 

[InteGrand]

Engineering Studies is no foundation for Engineering; Maths and Physics are.

Not even HSC Physics (in today's syllabus).

 

[Drongoski]

UNSW Math2 Detailed course schedule
Note that this schedule is approximate and there may be slight differences depending
on the pace of lectures.
Lectures 1–4: PARTIAL DIFFERENTIATION
• Partial differentiation
• The chain rule
• Multivariable Taylor series
• Linear approximation
• Leibniz’s rule for differentiating integrals
Lectures 6–8: EXTREME VALUES
• Extrema for functions of two variables
• Constrained Extrema and Lagrange multipliers
Lectures 9–14: VECTOR FIELD THEORY

• Brief revision of vector algebra
• Vector–valued functions of one variable, its calculus & applications
• Gradient of a scalar field and directional derivative,
• Divergence and curl of a vector field
• Line integrals
• Fundamental theorem of line integrals

Lectures 15–21: DOUBLE INTEGRALS
• The double integral
• volume under a surface
• calculation of double integrals
• Area,
• reversing the order of integration
• Density, mass and centre of mass
• Moments of Inertia
• Double integrals in polar coordinates

Lectures 22–27: ORDINARY DIFFERENTIAL EQUATIONS
• First order equations– students must be familiar with the material contained
in this chapter
• Separable equations
• Integrating factor method for linear non–homogeneous equations
• Higher Order Equations
• Linear, homogeneous, constant coefficients
• Complex and double roots
• Free oscillations
• Non–Homogeneous Linear Equations
• Method of undetermined coefficients
• Forced oscillations
• Variation of parameters

Lectures 28–33: MATRICES
• Brief revision, including special matrices
• Matrix multiplication
• Inverse of a matrix
• Eigenvalues and Eigenvectors
• Orthogonal matrices and diagonalisation
• Systems of linear o.d.e.’s and applications

Lectures 34–40: LAPLACE TRANSFORMS
• The Laplace Transform
• Transform of derivatives
• Shifting theorems and the step function
• Partial fractions
• Solving o.d.e.’s and systems of o.d.e.’s using Laplace transforms

Lectures 41–48: FOURIER SERIES
• Periodic functions, trigonometric series
• Fourier series, Euler formulae
• Functions of arbitrary period
• Even and odd functions
• Half–range expansions
• Forced oscillations

Lectures 49–54: PARTIAL DIFFERENTIAL EQUATIONS
• Basic concepts
• Vibrating string
• D’Alembert’s solution
• Wave equation
• Heat equation
1

Is that all? Should be a piece of cake for General Maths students.

 

[Drongoski]

Not even HSC Physics (in today's syllabus).

I know HSC Physics is rather thin on the old topics of Mechanics (Statics, Dynamics - forces, equilibrium, etc) which have more direct relevance for Engineering (Civil, Mechanical, Aeronautic . . .). But Electricity in the HSC Physics should be relevant in Electrical and Electronic Engg.

 

[InteGrand]

I know HSC Physics is rather thin on the old topics of Mechanics (Statics, Dynamics - forces, equilibrium, etc) which have more direct relevance. But Electricity in the HSC Physics should be relevant in Electrical and Electronic Engg.

Maybe. But I think someone who took HSC Physics but no maths (or took General) would be more disadvantaged than someone who took decent to high levels of maths but no HSC Physics.

 

[Drongoski]

Maybe. But I think someone who took HSC Physics but no maths (or took General) would be more disadvantaged than someone who took decent to high levels of maths but no HSC Physics.

Absolutely.

I have been urging year 10 students to do the foundation disciplines like Maths (not General, of course), Physics, Chemistry, Biology, Economics,( and English of course) I'm referring to foundation for the non-Humanities courses - depending on their interest and aptitude. Most kids in Yr 10 have no idea what course they want to do. So to keep as many doors open as possible, they should not opt for the various light-weight subjects. It is ridiculous - the NSW HSC offers a choice of over 50 subjects if not a hundred. very one focuses on the ATAR with little regard for the foundation subjects that will help them in their future courses at uni. Most choose the path of least resistance in their subject choices; they pick the easy subjects.

 

[Sien]

Apparently hsc physics focuses more on the history and philosophical side with very little calculations, not sure if this is true. Can somebody confirm?

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[InteGrand]

Apparently hsc physics focuses more on the history and philosophical side with very little calculations, not sure if this is true. Can somebody confirm?

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Yes, it's true.

 

[Drongoski]

Dw calculus in 2u isn't actually that bad, you'll pick it up pree quickly

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What makes you think so? I have taught Gen Maths students - it's a torture. They struggle with the easiest of concepts. Don't talk of Gen Maths students. Even some 2U Maths students struggle with the subject.