Hi guys I really want to keep up higher level maths but I have no idea how to study for it, any suggestions?
I don't think there's any other really way than practice practice practice from the papers and questions at the end of each section (the harder ones anyways) are good to go through the course topic by topic
Apart from continuously doing exam papers, I will always tell people these following tips:
→ Create your own study guides and notes. You need to go through your notes and classwork, consolidate them, and organize them in a way that you understand all valuable study activities. This means breaking it down topic by topic and creating notes on all key steps! Look to marking schemes to know what steps would be important and what will earn you those marks.
→ It’s one thing to follow and memorize a set of steps to solve a calculus problem. It’s an entirely different thing to understand what a derivative is, be able to take derivatives of complex functions, know when to use the chain rule vs. the product rule, etc. The problem with simply following the steps the teacher provides, or the textbook outlines, is that you’re only achieving a surface-level knowledge of the problem. The very best of students who understands concepts, instead, take solved problems and work backwards, from solution to question, asking “why.” Why did this get this value? Why did they simplify this expression? Why did they use that type of derivative rule? By following this process, you begin to understand the interconnections of the concept, and how to directly apply that to a problem. This “working knowledge” of being apply to apply a concept is key to performing well on exams, especially on problems that you haven’t seen before or questions that can have a diverse way of being worded and asked on the exam papers. Reverse-engineer those solved problems!
→ Make the best out of classes, the teacher and your fellow classmates. Thinking outside the box is a cliche but certainly a reality for everybody. You need to question everything – especially questions you might get wrong or have difficulty with. This attitude is extremely important because it shows a general inquisitiveness that is essential in learning. Psychologically, being continuously immersed in your work and asking questions of what you do not know plays a huge role in learning. So if you are every having difficulty, look over to your side and ask the teachers or the others on how they worked that problem out and how they came to understand it.