Is it possible to teach yourself a level maths




















This is a brand new course for AS and A level examinations in June and later years. The Subject Code for entry to the AS only award is The full A level is assessed by 3 two-hour written exams, each worth We're currently closed.

We are open again on Friday from am to pm. If you like you can request a call back. Request a call back. Signing up for this course allows you to apply for an NUS extra discount card. How long does it take to study Maths A level? What calculator will I need? As a minimum, you will need a scientific calculator with an iterative function the ability to compute summary statistics and access probabilities from standard statistical distributions.

The best way I found to learn was to watch the video explaining the concept, then read the corresponding chapter in my textbook, and do all the practice examples I can find. THEN, I pulled out all the relating questions from past papers. After I had covered all topics for that exam I re-did all past papers starting with the earliest, scored them and went over anything I got wrong before moving on to the next one.

Your email address will not be published. Notify me of follow-up comments by email. Notify me of new posts by email. This site uses Akismet to reduce spam. They can also be helpful for anyone who wants to consolidate their knowledge of A level Mathematics. Access is free, but you will need to set up an account.

This AMSP course is for Year 12 students from state-funded schools, academies and colleges who are interested in applying for places at Oxford University, Imperial College, Durham University and Warwick University to study Mathematics or for students who wish to improve their mathematical problem-solving skills in preparation for a university course.

Tuition and online support for students applying for one of the above courses in autumn for entry in the academic year. These activities encourage deeper thinking about various areas of the curriculum including algebra, differentiation and trigonometry.

A similar set of resources is available for A level Further Mathematics. Useful for: Self-studying new topics, reinforcing understanding, revising. I will then present the different study materials available for the equivalent of an undergraduate course, how to access them and how to make the best use of them. Finally, I will describe a mathematical syllabus that takes you all the way through a modern four-year Masters-level UK-style undergraduate course in mathematics, as applicable mainly to quantitative finance, data science or scientific software development.

In this particular article we will consider the first year of an undergraduate course. The remaining articles will each discuss subsequent years. The first question to ask yourself is why you want to learn mathematics in the first place. It is an extremely serious undertaking and requires substantial long-term commitment over a number of years, so it is absolutely imperative that there is a strong underlying motivation, otherwise it is unlikely that you will stick with self-study over the long term.

You might be an individual at the beginning of your educational career, deciding whether to take a formal university program in mathematics. You might have worked in a technical industry for years, but seek a new role and wish to understand the necessary prerequisite material for the career change.

You might also enjoy studying in your own time but lack a structured approach and want a reasonably linear path to follow. One of the primary reasons for wanting to learn advanced mathematics is to become a "quant". However, if your sole reason for wanting to learn these topics is to get a job in the sector, particularly in an investment bank or quantitative hedge fund, I would strongly advise you to carry out mathematics in a formal setting i. This is not because self-study will be any less valuable or teach you less than in a formal setting, but because the credential from a top university is, unfortunately, what often counts in getting interviews, at least for those early in their career.

An alternative reason for learning mathematics is because you wish to gain a deeper understanding of how the universe works. Mathematics is ultimately about formalising systems and understanding space, shape and structure.

It is the "language of nature" and is utilised heavily in all of the quantitative sciences. It is also fascinating in its own right. If you are heavily interested in learning more about deeper areas of mathematics, but lack the ability to carry it out in a formal setting, this article series will help you gain the necessary mathematical maturity, if you are willing to put in the effort.

I want to emphasise that studying mathematics from the level of a junior highschooler to postgraduate level if desired will require a huge commitment in time, likely on the order of years. Clearly this is a staggering commitment to undertake and, without a strong study-plan, will likely not be completed due to the simple fact that "life often gets in the way". However, chances are if you are considering studying advanced mathematics you will already have formal qualifications in the basics, particularly the mathematics learnt in junior and senior highschool GCSE and A-Level for those of us in the UK!

In this instance it is likely that you might be able to begin learning at the start of the undergraduate level, or possibly at the level of an advanced highschool student. Even if you have the equivalent qualifications in A-Level Mathematics or A-Level Further Mathematics, you will still have a long road ahead of you.

I estimate that it will take approximately years of full-time study or years of part-time study, in order to have an equivalent knowledge base gained by an individual who has carried out formal study in a UK undergraduate mathematics program to masters level. While I don't think it is necessary to have postgraduate qualifications to become a quant, it is useful and can certainly put you ahead of the competition.

However, do not be put off by the time commitment for postgraduate study. It isn't absolutely necessary and is likely to be carried out in a formal, full-time setting regardless. If you are happy with this overall level of commitment, then the broad path that you will follow should look something like this:.

As you can see, a mathematics education to a high level can take anywhere from 3 years to approximately 15 years or more! Hence this is not something to be undertaken lightly. You must give it serious consideration and make sure that the payoff financial or otherwise from study will be worth the serious effort required. These days it is possible to study from a mixture of freely available video lectures, lecture notes and textbooks.

There are those who learn better from watching videos and making notes, while others enjoy working methodically through a textbook. I've listed what I consider to be the most useful resources below. At the undergraduate level, I am a big fan of the Springer Undergraduate Mathematics Series of textbooks, which cover pretty much every major course you will find on a top-tier mathematics undergraduate degree in the UK.

I will go into detail regarding choices of books for specific modules below. I've also found the Schaum's Outlines series of books to be extremely helpful, particularly for those who like to learn by answering questions. While they don't go into the detail that others might particularly the SUMS books above , they do help consolidate the basics by working through a lot of questions. I highly recommend them if you've not seen any of the material before. Many Universities provide publicly accessible course pages that contain freely available lecture notes, often in PDF format, typeset in LaTeX or similar.

Where appropriate, I've listed freely available lecture notes for particular courses. However, I prefer to recommend textbooks as they tend to cover a wider set of material. They aren't "cherry picking" material in a way that a lecturer will have to do so in order to fit the material into semester-length courses.

Despite this issue, there are some extremely good lecture notes available online. The rise of Massive Open Online Courses MOOCs has fundamentally changed the way students now interact with lecturers, whether they are enrolled on a particular course or not. Some MOOCs are free, while others charge.



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