For a lot of people, Accelerated Mathematics 1 is the first taste of university mathematics. Together with Accelerated Mathematics 2, it covers the content of the three subjects Calculus 2, Linear Algebra and Real Analysis. This subject doesn't quite have the same mathematical rigour as its successor, but still requires a deep level of understanding to get the most out of the subject.
The topics covered were:
- Matrices and Linear equations
- Lines, planes in 3-dimensional spaces
- Number systems and proofs
- Complex Numbers
- Vectors in n-dimensional spaces
- Inner Products
- Linear Transformations
- Eigenvalues and Eigenvectors
- Functions of two variables
Topics 4 and 9 were Calculus 2 topics, topic 3 was a Real Analysis topic and the rest were Linear Algebra topics. The subject covers a lot of material in a short amount of time, so it is important to stay on top of things by completing the questions in the booklet and rocking up to tutes.
Paul is a great lecturer who talks a lot about stuff that isn't on the course, but nevertheless interesting. Some of the things he says can be pretty confusing, but as long as you're understanding the slides then you're all set. He always holds a short break halfway through the lecture, so you always have the chance to ask the person next to you what the hell is going on. Make sure you print out the lecture slides so you can fill in the blanks during the lectures.
There are 3 online assessment tasks during the semester. Each test has a maximum of 10 questions, some of which are short multiple choice, but most of them will require a bit of working with a pen and paper. For each online test, you get 3 attempts and your best attempt is recorded. For the written assignments, you may get a sheet of 8 or so questions, with only a few of the questions being marked. If you are keeping up to date with the homework then you can definitely score quite well in them.
I had a pretty good tutor in this subject. He recognised that almost all the class was far behind so he gave a summary of the previous week's lectures and worked through the set questions with the class. Straight after your class tutorial you generally have your computer lab session, where you learn some of the basics of the software program MATLAB, and some applications of the stuff you do in class. At the end of semester, there is a 45 minute MATLAB test worth 5%. Around half of the test is quite easy, while the rest of it involves some tricky code or function that is hard to get working.
The 3 hour long exam might be daunting at first, but it isn't as bad as it seems. There are plenty of practice exams and practice questions which prepare you well for the real thing. If you can be up to date with the problem sets by the start of the mid semester break, you're can definitely set yourself up for a good mark.
So if you're thinking about taking this subject, be aware that it is very fast, and you will have to work hard so you don't fall behind. However, the hard work pays off and it can be a very rewarding subject.