- #1

BOAS

- 553

- 19

I am hoping that you can help me with this.

We have just finished the math course that is part of my physics foundation year ( I didn't do A-level maths, so it's like a preparation year at university). We covered lots of topics, calculus up to first order D.E's, Taylor's and Maclaurin's theorem, Vector and Scalar products etc.

A few times in the course my lecturer would say 'but we don't cover that in this course' and it has left me wanting more! Right now I need to focus on revision of the material for the exam, but I've got a long summer ahead of me and i'd love to learn more. Specifically I have a few questions/requests about where to start;

When we finished looking at Maclaurin's theorem, we had done the approximation of cosx and sinx (among others) and my lecturer said that combining these two series gives us e

^{ix}= cosx + isinx. What subject do I need to study more of to understand how to combine these two series and arrive at the formula?

When looking at Vector products we were shown how to do it, but were told 'we don't go into determinants in this course' so we weren't shown where it comes from. Where's a good place to start in linear algebra so that I can arrive at a place where I understand why we do vector products in the way that we do?

Sorry for the rambling post!

BOAS