UPDATE: So it seems like the more realistic option would be to aim for it next term. That would give me a couple of months to study and I would have to go for the full syllabus. Assuming my prior knowledge is close to nil, what would be the route you guys suggest I take.
I am pursuing an Information Technology degree and I have hit a roadblock which is not allowing me to go further. During high school, I had chosen the lowest level mathematics I could take because of which I skipped a lot of topics that seem to be important now.
I cannot continue further with my degree until I learn and pass Applied Mathematics II, as it is not an optional subject at the University of Mumbai, in which I am enrolled. The professor told me that there is an exam I can sit for in three days which will mainly test the following topics -
De Moivre's Theorem, Logarithms of complex numbers, Cauchy Riemann equations, Properties of Laplace Transform, Laplace of standard function, Error functions, Fourier series, Double integrals
Either I pass the exam with these topics or I have to take an exam with the full syllabus later. Whichever way I look at it, this exam is something I need to pass. At this point I don't care about what grade I get in the subject, just that I manage to gain a good enough understanding to be able pass the exam.
I need your help to be able to figure out a good way to be able to approach the topics and in terms of which online resources I should look at using for my study.
Note: I also think it's important that I point out that because I took the lowest level math in high school I did not learn differentiation, limits and integration.
Note: The link for the syllabus also provides some recommended references, but honestly I don't know how good they will be because my textbook does a miserable job of breaking down the topics and gives no understanding of the perquisites needed.