Transcript What is the use of Mathematics?

Post 16
Mathematics A Level
Course
What is the use of
Mathematics?
The use of arithmetic, and the display of
information by means of graphs are an
everyday occurrence. Here are a few
examples of the use of mathematics:
What is the use of
Mathematics?








Geography and Environmental Sciences - Maps, Topology,
Weather prediction
Silicon Chips - Complex Number theory
Computer Disks - Fractal theory
CD players and computing - error correcting codes
Supercomputers - applying speed and accuracy
Physical sciences (Physics, Chemistry, Oceanography,
Astronomy, Ecology, Biology & Medicine) - Development of
theories, laws of population change, analysis of data, causes of
illness and utility of new drugs.
Airplanes - Airflow and control systems
Body Scanners - Construction of images from a number of X ray images
What is the use of
Mathematics?













Quantum Physics and DNA structures - Knot theory
Oil Recovery
Engineering
Artificial Intelligence
Molecular modelling and general materials
Economics and Finance
Business modelling
Signal Processing
Industry Maintenance
Sales, Marketing and Buying
Operational Management
Electrical Engineering and Electromagnetics
Buildings and general structures
University Courses
Mathematics is offered as a Single subject, as
part of a Joint degree, or as a vital part of
422
courses at Degree level
in Great Britain alone.
University Maths Courses

Calculus and Analysis
 Modelling with differential
equations
 Linear Algebra
 Modelling force of motion
 Discrete systems
 Multiple integrals
 Vector calculus
 Real and Complex analysis









Stochastic processes
Fourier Series
Dynamical systems
Rotational Dynamics
Environmental Statistics
Fluid Mechanics
Quantum Mechanics
Set Theory
Special Relativity
Careers
All of the jobs shown either:
 Require the relevant qualification or
 Need topics covered at the level of the
qualification
Careers












Accountant: Industry and
Commerce
Accountant: Private Practice
Accountant: Public Service
Accounting Technician
Actuary
Air Traffic Control Officer
Arboriculturist
Archaeologist
Architect
Architectural Technician
Army Officer
Auditor












Bailiff
Bank Manager
Bank Officer/Cashier
Biochemist/Biochemistry
Technician
Biologist/Biology Technician
Building Control Officer
Building Services
Engineer/Technician
Building Society Clerk
Building Society Manager
Building Technician
Bursar
Buyer/Purchasing Officer
Careers















Cabinet-maker
Cameraman/woman (TV/Film)
Catering/Restaurant Manager
Chartered Engineer
Chartered Engineer (Chemical)
Chartered Engineer (Mechanical)
Chemist/Chemistry Technician
Civil Service Executive Officer
Commodity Broker
Computer Applications Programmer
Computer Operator
Computer Service Engineer/Technician
Computer Systems Analyst
Computer Systems Programmer /
Software Engineer
Conference Manager/Organiser














Construction Manager
Construction Planner
Countryside/Conservation
Officer
Designer: 3-Dimensional (Craft)
Designer: 3-Dimensional (Product)
Designer: Graphic
Designer: Textile
Distribution Manager
Draughtsman/woman (Engineering)
Economic Development Officer
Economist/Economics Advisor
Editor: Publishing
Engineer - Design
Engineer - Manufacturing
Careers
















Engineer - Research and Development
Engineer: Chartered Civil/Structural
Engineer: Incorporated/Technician - Civil
Engineer: Incorporated/Technician –
Electrical
Engineer: Incorporated/Technician Electronics
Entertainment Manager
Environmental Health Officer
Estate Agent/General Practice Surveyor
Estates Officer - Public Sector
Forensic Scientist
Forest Officer/Manager
Freight Forwarder
Geologist/Geological Technician
Health Service Manager
HM Customs and Excise Officer
HM Inspector of Taxes/Revenue
Executive














Hotel Manager
Incorporated Engineer/Technician
Incorporated Engineer/Technician
(Chemical)
Incorporated Engineer/Technician
(Mechanical)
Insurance Broker
Insurance Claims Official
Insurance Loss Adjuster
Insurance Salesperson
Insurance Surveyor
Insurance Underwriter
Laboratory Technician
Leather Technologist
Lecturer: Further/Tertiary education
Lecturer: Higher Education
Careers













Legal Executive
Leisure Centre Manager
Local Government Administrator
Local Government Revenue Officer
Marketing Manager
Materials Technologist
Medical Physics Technician
Merchandiser
Merchant Navy Deck Officer
Merchant Navy Engineering Officer
Meteorologist
Microbiologist/Microbiology Technician
Money Advisor















Oceanographer
Operational Research Scientist
Optician: Opthalmic/Optometrist
Pensions Manager
Pharmacist
Photographic Technician
Physicist/Physics Technician
Physiological Measurement Technician
Pilot: Airline
Pilot: Helicopter
Printing Administrator/Technologist
Production Assistant/Co-ordinator
(Media/Stage)
Psychologist
Radiographer
Royal Air Force Airman/woman
Careers

















Royal Air Force Officer
Royal Marines Officer
Royal Navy Officer
Royal Navy Rating
Sales Manager
Sales Representative
Scientist
Secretary
Stock Exchange Investment Analyst
Stock Exchange Market Maker
Stock Exchange Stockbroker
Store Manager
Surveying Technician: General Practice
Surveying Technician: Quantity/Building
Surveyor/Surveying Technician:
Mineral/Mining
Surveyor: Building
Surveyor: Land/Hydrographic
















Surveyor: Planning and Development
Surveyor: Quantity
Surveyor: Rural Practice/Land Agent
Surveyor: Valuation/Auctioneer
Teacher: School (England & Wales)
Teacher: School (Scotland)
Teacher: Special Educational Needs
Technician: Education
Textile Dyeing Technician
Textile Technician
Town Planner
Trading Standards Officer
Transport Manager: Road
Travel Agency Manager
Warehouse Manager
Work Study/Organisation and Methods
Officer
CHALLENGE
Can you think of a job that
NEVER needs Mathematics?
If you can, let us know!!
Interesting Statistical Fact

Two people with
identical A level
grades – one with A
Level Maths, one
without!

The person with A Level Maths earns on
average 10% more than the person
without!!
What is involved?
AS GCE Mathematics (3890)
Either C1, C2, and S1
 Or C1, C2 and M1

AS GCE Further Mathematics (3891)
Either FP1, D1 and S1
 Or FP1, D1 and M1

What is involved?
Advanced GCE Mathematics (7890)
Either
 C1, C2 + C3, C4
 M1
+ M2
Or
 C1, C2 + C3, C4
 S1
+ S2
Or
 C1, C2 + C3, C4
+ S1
 M1
What is involved?
Advanced GCE Mathematics (7890)
Advanced Subsidiary GCE Further
Mathematics (3892)
 C1, C2
+ C3, C4
 M1
Either + M2
 S1
Or
+ S2
 D1
 FP1
What is involved?
Advanced GCE Mathematics (7840) +
Advanced GCE Further Mathematics
C1, C2 + C3, C4
 M1
+ M2
 S1
+ S2
 D1
 FP1
+FP2

+
Either
Or
Or
Or
M3
S3
D2
FP3
Pure Maths Section




Core Mathematics 1 (C1) (4721) (AS) Indices &
Surds; Polynomials; Coordinate Geometry & Graphs;
Differentiation. (Non calculator paper)
Core Mathematics 2 (C2) (4722) (AS) Trigonometry;
Sequences and series; Algebra; Integration.
Core Mathematics 3 (C3) (4723) (A2) Algebra and
Functions;
Trigonometry;
Differentiation
and
Integration; Numerical Methods.
Core Mathematics 4 (C4) (4724) (A2) Algebra and
Graphs; Differentiation and Integration; Differential
Equations; Vectors.
Pure Maths Section



Further Pure Mathematics 1 (FP1) (4725) (AS)
Summation of series; Mathematical Induction; Roots
of Polynomial Equations; Complex Numbers.
Further Pure Mathematics 2 (FP2) (4726) (A2)
Rational Functions and Graphs; Polar coordinates;
Hyperbolic functions; Differentiation and Integration;
Numerical Methods.
Further Pure Mathematics 3 (FP3) (4727) (A2)
Differential Equations; Vectors; Complex Numbers;
Groups.
Mechanics Section



Mechanics 1 (M1) (4728) (AS) Force as a vector;
Equilibrium of a particle; Kinematics of motion in a straight
line; Newton’s laws of motion; Linear momentum.
Mechanics 2 (M2) (4729) (A2) Centre of mass; Equilibrium
of a rigid body; Motion of a projectile; Uniform motion in a
circle; Coefficient of restitution and impulse; Energy, work
and Power.
Mechanics 3 (M3) (4730) (A2) Equilibrium of rigid bodies in
contact; Elastic strings and springs; Impulse and
momentum in two dimensions; Motion in a vertical circle;
Linear motion under a variable force; Simple Harmonic
Motion.
Statistics Section



Probability and Statistics 1 (S1) (4732) (AS)
Representation of data; Probability; Discrete Random
Variables; Bivariate data
Probability and Statistics 2 (S2) (4733) (A2) Continuous
Random Variables; The Normal Distribution; The Poisson
Distribution; Sampling and Hypothesis testing.
Probability and Statistics 3 (S3) (4734) (A2) Continuous
random variables; Linear combinations of random
variables; Confidence intervals and the t distribution;
Difference of population means and proportions; the chi
squared test.
Discrete Maths Section


Discrete Mathematics 1 (D1) (4736) (AS) Algorithms;
Graph Theory; Networks; Linear Programming.
Discrete Mathematics 2 (D2) (4737) (A2) Game
theory; Flows in a network; Matching and allocation
problems;
Critical
Path
Analysis;
Dynamic
Programming
Thank you for
listening……
Any Questions??