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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.

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    $\begingroup$ As a first step, watch all of khanAcademy's videos on math. That should take you up to the level you need to be to understand the references in your syllabus. Like the answer says: there is unfortunately no chance you will pass the exam in three days. They are deep topics that take some serious calculus background. $\endgroup$ – Johanna Aug 6 '15 at 19:49
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    $\begingroup$ You need to look at past papers, this is all what you can do now. $\endgroup$ – Taylor Ted Aug 6 '15 at 19:50
  • $\begingroup$ I think 3 days is not realistic, unless they give the same exam and you know it by memory... but, that sounds dreadful. $\endgroup$ – James S. Cook Aug 6 '15 at 19:54
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To be honest, your odds of passing the exam that is in 3 days is not good. Since you do not know "differentiation, limits and integration", you won't be able to grasp any of the topics actually tested. So unless more than 50% of the exam is going to be regurgitating definitions, you won't pass.

Also, even if you take it next term, you have a lot of catching up you need to do.

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  • $\begingroup$ I should also say that, if you don't sleep or do anything other than study for the next three days (not recommended) and you are really good at understanding math, you just might pass. (Big If's) $\endgroup$ – 1-___- Aug 6 '15 at 19:49
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    $\begingroup$ Regarding your last comment, I think you're forgetting one small thing: the OP is a human being. Even if he/she was really good at understanding math, and didn't eat or sleep for 3 days, there's no way they can go from high school math to passing this exam in 3 days. $\endgroup$ – layman Aug 6 '15 at 19:50
  • $\begingroup$ An extremely good student can just memorize the definitions and theorems and JUST KNOW how to apply it when they get to the exam. But that is still a lot of results to learn in 3 days. $\endgroup$ – 1-___- Aug 6 '15 at 19:58
  • $\begingroup$ Yeah in my opinion it's too much. I've never encountered such a student that can jump through Calculus, Complex Analysis, Fourier Analysis, and the other topics mentioned in 3 days and be good enough to solve never-before-seen problems in the given topics. $\endgroup$ – layman Aug 6 '15 at 19:59
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    $\begingroup$ Another thing I would like to mention is that based on the topics of that class, it seems it is meant for an engineering program. So instead of "just pass", I hope OP actually learns the material. This could actually save lives. $\endgroup$ – 1-___- Aug 6 '15 at 20:08
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In 3 days? Relax for now to consider doing it during next term. There are the Khan Acadamy, YouTube etc. classes, but no substitute for learning by your own problem solving practice. Remember, you can excel on a solid foundation that time gives.

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