I really enjoyed this unit, but wished I had more time to enjoy the back end of the material properly. I didn't have much time at this stage, although that's probably more to do with me overloading than the unit itself. What you learn in MTH2010 seems to actually be useful, and in itself is interesting enough to entice you to do more tute questions (and put off other units/assignments to do them). In some of the early stages you may think that you're just learning random tools, but towards the end of semester it all ties in together really nicely, and I would say this is in my top 2 favourite units so far (I can't split this with ENG1091). Although in the odd case any of you transfer from eng to the double degree, the first couple of weeks will be a re-run of ENG1091.
One of the downsides to how the unit was run this semester was the 20 minute tests worth 5%. You normally get 3 or 4 questions, the first two tests this was doable without pushing two hard, but for the third and fourth test you really only got one shot at each question, no time to stop and think, you just had to power through it to try and get them done on time. As a result you make a lot more simple mistakes, or if you didn't see the way to do the question right away, you probably wouldn't have had time to get back to it.
Lectures are worth going to, as are tutes (although with a test one week and an assignment that has to be handed in in the tute the next you can't really skip too many, well skip showing up for at least 5 minutes anyways
). Seriously though, it's just practice, make sure you do the tute questions each week, and make sure you go over past exams from previous years during swotvac. You'll see past questions coming up again, and the others are to be approached in similar ways to other questions, (and you'll see a tute question from the semester appear in the exam every now and then).
If anyone wants to start this unit early, here are the topics covered (roughly by week)
- Vectors+Geometry of Space, Lines, Planes, Functions of Several Variables
- Limits and Continuity, Partial Derivatives
- Tangent Plane, Linear and Quadratic Approximations, Chain Rule for multivariable functions, directional derivative and the Gradient Vector
- Double Integrals, Iterated Integrals
- Double Integrals over a general Region, double ints over polar coordinates, applications of double integrals
- Triple Integrals, Triple Integrals in Cylindrical Coordinates
- Triple ints in Cylindrical + Change of variables in multiple integrals
- Vector Fields, Line Integrals, Fundamental Theorem of Line Integrals
- Green's Theorem, Curl and Divergence
- Parametric Surfaces, surface area, surface integrals
- Stoke's Theorem, The Divergence Theorem
But yeah, you'll be dealing with things like this (it's cool!
)