MATH2069: Mathematics 2A

2x in-class tests (5% each, each test on either VC or CA), 2x in-class tests, (15% each, each test on either VC or CA), Final exam (60%) 40%+ in both VC and CA and an average of 50%+ is required to pass the course.

Mathematics 1A and Mathematics 1B

Although this is nowhere near the marks than the rest of this thread, I will say I am extremely happy with this mark. Maybe it's because I'm now into the swing of things, but I did feel like I was able to understand the content far better than I did in either 1A or 1B.

That said, the format is very similar to 1A and 1B, where the only big difference is there is no coding side of 2A, and no weekly maple TA, and because of this, I feel like students get a better grasp of the course as a whole. The difficulty from 1A/1B to 2A seemed to be about the same in my experience, but the main factor that I found were the quality of the lecturers.

Milan Pahor is absolutely phenomenal, and it made the vector calculus part of the course an absolute blast! Content like triple integrals was made trivially easy with his lectures and his notes. Although he writes on the blackboard, so you have to attend, and he does not like computers open during lectures, none of this matters because of how well he teaches. He was by far the best lecturer I have had so far.

Alessandro Ottazzi was pretty mock standard. His lectures were taken directly from his slides, and he would verbally recap it. This meant that it was basically as sufficient to just read the slides in your own time and to skip the lecture. I wish he did more examples where he worked them out on paper, instead of skipping to the next slide because he was really good at those when he did do that.

For the content itself, complex analysis was definitely the harder half of the course, because it was difficult to understand what the hell you were doing and why. For example, computing the series expansions of analytic functions, memorising the basic case studies and properly manipulating them and calculating real improper and trigonometric integrals using complex analytic methods were all concepts that I found difficult to wrap my head around.
This was also the reason why I Vector Calculus much easier to do; a few of the concepts learnt included calculating basic line and surface integrals and applying the theorems of Green, Stokes and Gauss. Calculating basic double and triple integrals in Cartesian, polar and spherical coordinates, which all had a logical and clear explanation to why we'd want to use these.

Overall, this course was actually quite alright, and I'm super happy with the outcome. I can also definitely see some of these theories translating well into future mathematics and physics courses.

2x 2 hour lectures, 1x 1 hour lecture, 2x 1 hour tutorials (all weekly, split equally between Vector Calculus and Complex analysis).

3.3 /5

Yes

Dr. Milan Pahor (Vector Calculus), Dr. Alessandro Ottazzi (Complex Analysis)

Lecture slides/notes, past papers for each test and exam, a booklet with key questions (almost identical to 1A/1B)

3.8/ 5

The Vector Calculus strand uses the text: Salas, Hille and Etgen: Calculus 9th Edition. The Complex Analysis strand uses the textbook: J.W. Brown and R.V. Churchill Complex Variables and Applications. McGraw Hill, 9th edition, 2013. (I did not use them)

2019 T3

75 DN (-1)

4 quizzes worth 10% each and a final worth 60%. There are 2 quizzes each for complex analysis and vector calculus. The final has 2 questions on complex analysis and 2 questions on vector calculus.

MATH1231 or MATH1241.

Overall a really good course. Vector calculus especially is very very interesting as it relates well to physics (especially the electromagnetism section in PHYS1231 which is very important for some third year electrical engineering subjects). The first few topics are straightforward but the final few topics are a bit challenging (e.g. Gauss' divergence theorem, Stoke's theorem, surface integrals).

The lecturer for complex analysis was really good and explained concepts thoroughly. This half of the course essentially is about how functions work in the complex domain - how to differentiate, integrate, how trig functions and logarithms work in the complex domain (e.g. evaluating cos(1 + i)).
All the trig identities (e.g. cos(A + B)) are used and must be memorized so there's a fair bit of memory work involved.
This course has a large number of topics both in vector calculus and complex analysis so it definitely requires dedication but if you put in the time you should do well. The in class quizzes are not too difficult and the final is quite similar in structure to past papers so you should be set by practicing a few before the final.

4 hours of lectures, 2 hours of tutorials. Half are for complex analysis, half are for vector calculus.

4/5

Yes.

Alessandro Otazzi for complex analysis and Dmitriy Zanin for vector calculus.

Plenty of notes and past papers on ELSOC.

5/5

For complex analysis no need for a textbook. For vector calculus, "Calculus One and Several Variables" was very useful to study from but it's not essential.

2018/S1

96 HD