Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    14
    ReputationRep:
    Hi all,
    I'm intending to study mathematics at university, and wondered if anyone had any good ideas on how to expand your mathematical knowledge past that of the A-level syllabus?

    Thank you!
    Offline

    2
    ReputationRep:
    Study Linear Algebra, Regression Theory (OLS, GLS, anything in econometrics), Optimisation (simplex method, non linear optimisation)
    Offline

    2
    ReputationRep:
    https://www.youtube.com/playlist?lis...OzNP6KGLSyd4dz

    https://www.youtube.com/watch?v=a2Qg...23E7AEFE221F70

    https://www.youtube.com/watch?v=ZK3O...DDD91010BC51F8
    Offline

    14
    ReputationRep:
    Linear algebra, vector calculus, integral transforms, operator methods

    Fourier series and Sturm Liouville theory are pretty interesting topics that are quite general

    Set theory tends to be a good one that some read up on during A-Levels

    I'm not a mathematician, I'm talking from a scientist's point of view, so I wouldn't know how to expand your knowledge other than to just keep reading
    Offline

    10
    ReputationRep:
    Read Disquisitiones Arithmeticae by Carl Friedrich Gauss
    • Thread Starter
    Offline

    14
    ReputationRep:
    Thank you so much!
    Offline

    15
    ReputationRep:
    I would recommend going through Andrew Wiles' proof of Fermat's last theorem and trying to understand it best you can.
    • Thread Starter
    Offline

    14
    ReputationRep:
    (Original post by B_9710)
    I would recommend going through Andrew Wiles' proof of Fermat's last theorem and trying to understand it best you can.
    Isn't it like the most confusing proof ever though?! Hahaha
    Online

    21
    ReputationRep:
    Well, if you know
    -the terms "theorem", "lemma", "corollary", "proposition" and "conjecture"
    -the different types of proof (direct, induction, contraposition, contradiction etc.)
    -the "blackboard bold" symbols used to represent sets of numbers (ℕ ℤ ℚ ℝ ℂ)
    You're pretty much ready for degree-level maths

    btw if you have a specific career in mind after you leave uni, plan for that well in advance - you might find that you don't need to know Fermat's last theorem in your career
    • Thread Starter
    Offline

    14
    ReputationRep:
    (Original post by shawn_o1)
    Well, if you know
    -the terms "theorem", "lemma", "corollary", "proposition" and "conjecture"
    -the different types of proof (direct, induction, contraposition, contradiction etc.)
    -the "blackboard bold" symbols used to represent sets of numbers (ℕ ℤ ℚ ℝ ℂ)
    You're pretty much ready for degree-level maths

    btw if you have a specific career in mind after you leave uni, plan for that well in advance - you might find that you don't need to know Fermat's last theorem in your career
    Hahaha thank you!
 
 
 
Poll
Do you agree with the PM's proposal to cut tuition fees for some courses?
Help with your A-levels

All the essentials

The adventure begins mug

Student life: what to expect

What it's really like going to uni

Rosette

Essay expert

Learn to write like a pro with our ultimate essay guide.

Uni match

Uni match

Our tool will help you find the perfect course for you

Study planner

Create a study plan

Get your head around what you need to do and when with the study planner tool.

Study planner

Resources by subject

Everything from mind maps to class notes.

Hands typing

Degrees without fees

Discover more about degree-level apprenticeships.

A student doing homework

Study tips from A* students

Students who got top grades in their A-levels share their secrets

Study help links and info

Can you help? Study help unanswered threadsRules and posting guidelines

Sponsored content:

HEAR

HEAR

Find out how a Higher Education Achievement Report can help you prove your achievements.

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.