I am in my third year studying a Bachelor of Business Science specializing in Actuarial Science at the University of Cape Town. I adore mathematics and statistics and I hope to pass on not only the necessary knowledge but the passion and deeper understanding as well.
Not mensioned yet.
The degree is very statistic based. On top of the typical mathematical statistics (which we essentially major in), there are Actuarial Science courses that also have a high priority in the studies. There are other aspects, such as two years of pure mathematics, finance as well as economics. There are additionally other courses that are integrated into the degree which are based more around other areas such as business law, people management and business ethics.
Understanding concepts from first principles can enhance the route to muscle memory. After these concepts become familiar, one usually can understand relative concepts as well. Many students think that statistics will be easy but in my experience it has proven to be the unforeseen difficult section that requires a deeper understanding.
Many students panic in this section due to the vast amount of concepts that are introduced without much thought given to the overall section. I have many ways to teach trigonometry that involve easy and straightforward approaches that many teachers do not seem to go over.
This section is tough because it is incredibly difficult to visualize. I found that instead of trying to visualize this section, one should attempt to instead take a set back and to think about what operations do what and what we are attempt to uncover. There are some ideal tricks to this as well.
This section is here for life. It in itself is not isolated as all mathematics has some degree of Algebra in it. This is fundamental section as key characteristics are relevant not just for this section. There is a lot of content in this section and a usually more beneficial way to attempt this section.
Calculus can get messy. There is difficulty in the understanding as well as the operation. Most students struggle with the latter if understanding is not clear. In depth knowledge of concepts should be of a priority before one should move on. There are many easier and better ways to explain what is happening.
Learning concepts form first principles is a must. Once the knowledge of why or what we have done is clear, most of the section is easier to tackle. There is a vast amount of ways and tricks to make this section easier as well as clear.