introduction and how mathematics · 2018-03-07 · mathematics introduction to apply and how....
TRANSCRIPT
![Page 1: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/1.jpg)
![Page 2: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/2.jpg)
MathematicsIntroduction
TO APPLY
AND HOW
![Page 3: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/3.jpg)
Welcome to King’sCollege London
The Department of Mathematics
Professor Simon Salamon
![Page 4: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/4.jpg)
Mathematics at`
King’s College London
• Brief Introduction to KCL
• Why study Mathematics at KCL?
• What is it like to be here?
• University versus A-level Maths
4th
oldest university in
England
12Nobel Prize
winners have worked or studied
at King’s
![Page 5: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/5.jpg)
21st
in the world
(QS World University Rankings 2016)
Why choose King’s?`
King’s is big and Diverse
• Russell Group University
• 17,800 (UG) + 11,700 PG students
• Many Nationalities
• Approximately 50/50 gender balance
• Around 200 undergraduate programmes
![Page 6: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/6.jpg)
`Organised into Faculties
• Dental Institute
• Life Sciences & Medicine
• Nursing & Midwifery
• Psychiatry, Psychology & Neuroscience
• Arts & Humanities
• Dickson Poon School of Law
• Natural & Mathematical Sciences
• Social Science & Public Policy
![Page 7: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/7.jpg)
Faculty of `
Natural and Mathematical Sciences
• Departments Mathematics, Informatics Physics, Chemistry, Biomedical Engineering
A long line of distinguished Alumni
James Clerk Maxwell
Theory of electromagnetism (1865)
Rosalin Franklin, Maurice Wilkins
Helical structure of DNA (1953)
Professor Peter Higgs
3 further Nobel Prizes in Physics
![Page 8: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/8.jpg)
Choosing a University `
Points to consider
• Size Matters
• More Course Options
• Larger range of final year projects
Research Universities o Taught by those who write the
books o Quality of final year projects o Less spoon feeding
![Page 9: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/9.jpg)
`
Why King’s College London?
• Distinguished history
• High in international League tables
• Central London locations
• Excellent library in Chancery Lane
• East Wing of Somerset House
• Expansion into Bush House
![Page 10: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/10.jpg)
![Page 11: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/11.jpg)
Why choose King’s?`
London locations
![Page 12: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/12.jpg)
Bush House
“…the Bush House buildings will provide approximately 300,000 square feet of
additional space for student study and social space, new teaching facilities…”
King’s is expanding
![Page 13: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/13.jpg)
`
Why Maths at King’s? • One of the oldest and most
established mathematics departments in London & the UK
• All academic staff members are internationally recognised
• Two members of staff are Fellows of the Royal Society
• 4th in the UK for world-leading research output in REF 2014
• Strong links with: other Maths departments in London, the UK and abroad the City's financial institutions biomedical sciences ...
Questions?
Speak to our admissions team
in Pink 2
![Page 14: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/14.jpg)
What is it like to be here?
• Wide variety of courses and options
• All have classes in addition to lectures
• 'Drop-in' sessions and office hours
• Friendly and approachable lecturers
• Computer facilities for students
• Dynamic student society: MathSoc- runs various social events, annual weekend in Windsor Great Park
•
Questions?
Our student ambassadors are
happy to help!
![Page 15: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/15.jpg)
Cumberland Lodge 18 February 2018
![Page 16: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/16.jpg)
`
Our Undergraduate Programmes
• Mathematics BSc• Mathematics MSci• Mathematics & Philosophy BA • Mathematics with Statistics BSc• Mathematics with Management &
Finance BSc
![Page 17: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/17.jpg)
Visit our website
www.kcl.ac.uk/nms/depts/mathematics
![Page 18: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/18.jpg)
Courses
They typically include:FIRST YEAR
Calculus ICalculus IILinear Algebra & Geometry I,IISequences and SeriesIntro to AlgebraIntro to Dynamical SystemsProbability and Statistics I
SECOND YEAR
Analysis I Linear Algebra Geometry of Surfaces Intro to Number TheoryProbability and Statistics IILinear Models and Regression PDE's and Complex VariablesIntermediate Dynamics Groups and Symmetries Applied Analytic Methods Discrete Mathematics
THIRD YEAR
Real Analysis IIComplex AnalysisTopologyFourier AnalysisRings and ModulesGalois TheoryRepresentations of Finite GroupsIntroductory Quantum TheorySpecial Relativity & Electromagnetism Spacetime Geometry & Gen Relativity Numerical and Computational MethodsMath. Education and Communication Mathematical Finance I Mathematical Finance II Mathematical BiologyTheory of Complex Networks Mathematical EducationTheory of Collective BehaviourTime Series Analysis
BSc project
FOURTH YEAR
Lie Groups and Lie Algebras Algebraic Number TheoryMetric & Banach SpacesNonlinear AnalysisOperator Theory Probability TheoryStochastic AnalysisAdvanced Algebraic Geometry Quantum Mechanics IIQuantum Field Theory Advanced Quantum Field TheoryStrings and Branes Advanced General Relativity Supersymmetry Equilibrium Analysis of SystemsDynamical Analysis of SystemsElements of Statistical LearningRare Events and Large Deviations
MSci Project
![Page 19: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/19.jpg)
Our Research
Pure maths research groups:AnalysisGeometryNumber Theory
Applied maths research groups:Financial MathematicsStatisticsTheoretical PhysicsDisordered Systems
![Page 20: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/20.jpg)
3 facts of `
University Maths
1. It is not just an extension of A-level Maths
o Memorizing model solutions will no longer work
o At School you may have sat in the back seat
o University teaches you to drive
o Excellent A-Level student may well be average at University
o Average A-level student may well be excellent at University
Use today to get all your application
questions answered
![Page 21: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/21.jpg)
3 Facts of `
University Maths
2. Maths at university is more abstract:
you must be able to generalize and turn
concepts upside down
o Infinite sums can give finite results
o Dimensions need not be 1, 2 or 3 (nor
integral nor finite)
o Time is a 4th dimension but there may
be others
o XY is often different from YX
![Page 22: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/22.jpg)
3 Facts of `
University Maths
3. Everything is connected to everything else
o Deep problems in one field are usually connected to deep problems in another
o You must have an open mind and broad interests
o For example: geometry is used in quantum theory,
o quantum theory is used in finance,
o number theory is used in cryptography...
![Page 23: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/23.jpg)
Public Key Cryptography, slide by Clifford Cocks
![Page 24: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/24.jpg)
Squaring modulo 17
![Page 25: Introduction AND HOW Mathematics · 2018-03-07 · Mathematics Introduction TO APPLY AND HOW. Welcome to King’s College London The ... Algebraic Number Theory Metric & Banach Spaces](https://reader030.vdocument.in/reader030/viewer/2022040411/5edbf116ad6a402d66666430/html5/thumbnails/25.jpg)
Thank you!