What does pure maths consist of?
Pure mathematics explores the boundary of mathematics and pure reason. It has been described as "that part of mathematical activity that is done without explicit or immediate consideration of direct application," although what is "pure" in one era often becomes applied later.
Pure Maths
When we think of pure math we think of trigonometry, algebra and basic calculus. The downside to pure math is that it is difficult. Many students find themselves having to take extra classes and putting in extra hours in order to pass. The upside to pure math is that it teaches you problem-solving skills.
If you want to keep studying maths, you might have to choose between applied and pure mathematics. But what's the difference? The easiest way to think of it is that pure maths is maths done for its own sake, while applied maths is maths with a practical use.
Calculus is a fundamental component of both pure and applied math.
Uses and advantages of generality include the following: Generalizing theorems or mathematical structures can lead to deeper understanding of the original theorems or structures. Generality can simplify the presentation of material, resulting in shorter proofs or arguments that are easier to follow.
The activity of applied mathematics is intimately connected with research in pure mathematics. It is better than pure mathematics because it uses the formulas of pure maths and applies them in the real life. Applied maths tries to model predict, and explain things in the real world.
How to self study pure math - a step-by-step guide - YouTube
The median annual wage for mathematicians was $108,100 in May 2021. The median wage is the wage at which half the workers in an occupation earned more than that amount and half earned less.
- Bookkeeping and Accounting Studies.
- Forensics and Investigations.
- Policing, Forensics and Investigation Studies.
- Office Administration and Secretarial Studies.
- Business Management Studies.
- Beauty Therapy Studies.
- Occupational Health and Safety Studies.
No, you cannot become a doctor if you took Maths Literacy in high school. All universities require Maths with a high pass mark, usually 75% or above, to be considered for a Degree programme in Medicine. However, you can do a bridging course in Maths at a TVET college.
What courses dont need math?
- Anthropology.
- Communications.
- Criminal Justice.
- Culinary Arts.
- Education.
- English.
- Foreign Language.
- Graphic Design.
Finance and cryptography are current examples of areas to which pure mathematics is applied in significant ways.

It's possible but perhaps unlikely to learn it to the level of writing one's own proofs correctly/doing research. If you simply want to know more about fields of pure math, it's definitely possible, and I'd recommend starting with a popular overview of a subject (The Millennium Problems, for instance).
Yes. If anything, mathematics is one of those fields where most of one's education is based on self-study.
How to self study pure math - a step-by-step guide - YouTube
Physics is certainly no exception. In fact, physics is considered by most people to be among the most challenging courses you can take. One of the reasons physics is so hard is that it involves a lot of math.
It's possible but perhaps unlikely to learn it to the level of writing one's own proofs correctly/doing research. If you simply want to know more about fields of pure math, it's definitely possible, and I'd recommend starting with a popular overview of a subject (The Millennium Problems, for instance).
Yes. If anything, mathematics is one of those fields where most of one's education is based on self-study.
The hardest degree subjects are Chemistry, Medicine, Architecture, Physics, Biomedical Science, Law, Neuroscience, Fine Arts, Electrical Engineering, Chemical Engineering, Economics, Education, Computer Science and Philosophy. Let's dive right in, and look at why these subjects are the hardest degree subjects.
Physics. Generally, physics is often deemed to be the hardest of all the sciences, especially as an A level qualification. Physics involves a lot of complex maths content – an aspect that most students struggle with.
Is physics harder than biology?
Beginning university students in the sciences usually consider biology to be much easier than physics or chemistry. From their experience in high school, physics has math and formulae that must be understood to be applied correctly, but the study of biology relies mainly on memorization.