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Mathematics A Level Mathematics A Level CourseCourse

What is the use of What is the use of Mathematics?Mathematics?

The use of arithmetic, and the display of The use of arithmetic, and the display of information by means of graphs are an information by means of graphs are an everyday occurrence. Here are a few everyday occurrence. Here are a few examples of the use of mathematics:examples of the use of mathematics:

What is the use of What is the use of Mathematics?Mathematics?

Geography and Environmental Sciences - Maps, Geography and Environmental Sciences - Maps, Topology, Weather predictionTopology, Weather prediction

Silicon Chips - Complex Number theorySilicon Chips - Complex Number theory Computer Disks - Fractal theoryComputer Disks - Fractal theory CD players and computing - error correcting codesCD players and computing - error correcting codes Supercomputers - applying speed and accuracySupercomputers - applying speed and accuracy Physical sciences (Physics, Chemistry, Oceanography, Physical sciences (Physics, Chemistry, Oceanography,

Astronomy, Ecology, Biology & Medicine) - Development Astronomy, Ecology, Biology & Medicine) - Development of theories, laws of population change, analysis of data, of theories, laws of population change, analysis of data, causes of illness and utility of new drugs.causes of illness and utility of new drugs.

Airplanes - Airflow and control systemsAirplanes - Airflow and control systems Body Scanners - Construction of images from a number Body Scanners - Construction of images from a number

of X - ray imagesof X - ray images

What is the use of What is the use of Mathematics?Mathematics?

Quantum Physics and DNA structures - Knot theoryQuantum Physics and DNA structures - Knot theory Oil RecoveryOil Recovery EngineeringEngineering Artificial IntelligenceArtificial Intelligence Molecular modelling and general materialsMolecular modelling and general materials Economics and FinanceEconomics and Finance Business modellingBusiness modelling Signal ProcessingSignal Processing Industry MaintenanceIndustry Maintenance Sales, Marketing and BuyingSales, Marketing and Buying Operational ManagementOperational Management Electrical Engineering and ElectromagneticsElectrical Engineering and Electromagnetics Buildings and general structuresBuildings and general structures

University CoursesUniversity Courses

courses at Degree levelcourses at Degree level

Mathematics is offered as a Single subject, as Mathematics is offered as a Single subject, as part of a Joint degree, or as a vital part ofpart of a Joint degree, or as a vital part of

424222

in Great Britain alone.in Great Britain alone.

422422

University Maths CoursesUniversity Maths Courses

Calculus and AnalysisCalculus and Analysis Modelling with differential Modelling with differential

equationsequations Linear AlgebraLinear Algebra Modelling force of motionModelling force of motion Discrete systemsDiscrete systems Multiple integralsMultiple integrals Vector calculusVector calculus Real and Complex analysisReal and Complex analysis

Stochastic processesStochastic processes Fourier SeriesFourier Series Dynamical systemsDynamical systems Rotational DynamicsRotational Dynamics Environmental StatisticsEnvironmental Statistics Fluid MechanicsFluid Mechanics Quantum MechanicsQuantum Mechanics Set TheorySet Theory Special RelativitySpecial Relativity

CareersCareers

All of the jobs shown either:All of the jobs shown either: Require the relevant qualification or Require the relevant qualification or Need topics covered at the level of the Need topics covered at the level of the

qualificationqualification

CareersCareers Accountant: Industry and Accountant: Industry and

CommerceCommerce Accountant: Private PracticeAccountant: Private Practice Accountant: Public ServiceAccountant: Public Service Accounting TechnicianAccounting Technician ActuaryActuary Air Traffic Control OfficerAir Traffic Control Officer ArboriculturistArboriculturist ArchaeologistArchaeologist ArchitectArchitect Architectural TechnicianArchitectural Technician Army OfficerArmy Officer AuditorAuditor

BailiffBailiff Bank ManagerBank Manager Bank Officer/CashierBank Officer/Cashier Biochemist/Biochemistry Biochemist/Biochemistry

TechnicianTechnician Biologist/Biology TechnicianBiologist/Biology Technician Building Control OfficerBuilding Control Officer Building Services Building Services

Engineer/TechnicianEngineer/Technician Building Society ClerkBuilding Society Clerk Building Society ManagerBuilding Society Manager Building TechnicianBuilding Technician BursarBursar Buyer/Purchasing OfficerBuyer/Purchasing Officer

CareersCareers Cabinet-makerCabinet-maker Cameraman/woman (TV/Film)Cameraman/woman (TV/Film) Catering/Restaurant ManagerCatering/Restaurant Manager Chartered EngineerChartered Engineer Chartered Engineer (Chemical)Chartered Engineer (Chemical) Chartered Engineer (Mechanical)Chartered Engineer (Mechanical) Chemist/Chemistry TechnicianChemist/Chemistry Technician Civil Service Executive OfficerCivil Service Executive Officer Commodity BrokerCommodity Broker Computer Applications ProgrammerComputer Applications Programmer Computer OperatorComputer Operator Computer Service Computer Service

Engineer/TechnicianEngineer/Technician Computer Systems AnalystComputer Systems Analyst Computer Systems Programmer / Computer Systems Programmer /

Software EngineerSoftware Engineer Conference Manager/OrganiserConference Manager/Organiser

Construction ManagerConstruction Manager Construction PlannerConstruction Planner Countryside/Conservation Countryside/Conservation

OfficerOfficer Designer: 3-Dimensional (Craft)Designer: 3-Dimensional (Craft) Designer: 3-Dimensional (Product)Designer: 3-Dimensional (Product) Designer: GraphicDesigner: Graphic Designer: TextileDesigner: Textile Distribution ManagerDistribution Manager Draughtsman/woman (Engineering)Draughtsman/woman (Engineering) Economic Development OfficerEconomic Development Officer Economist/Economics AdvisorEconomist/Economics Advisor Editor: PublishingEditor: Publishing Engineer - DesignEngineer - Design Engineer - ManufacturingEngineer - Manufacturing

CareersCareers Engineer - Research and DevelopmentEngineer - Research and Development Engineer: Chartered Civil/StructuralEngineer: Chartered Civil/Structural Engineer: Incorporated/Technician - Engineer: Incorporated/Technician -

CivilCivil Engineer: Incorporated/Technician – Engineer: Incorporated/Technician –

Electrical Electrical Engineer: Incorporated/Technician - Engineer: Incorporated/Technician -

ElectronicsElectronics Entertainment ManagerEntertainment Manager Environmental Health OfficerEnvironmental Health Officer Estate Agent/General Practice Estate Agent/General Practice

SurveyorSurveyor Estates Officer - Public SectorEstates Officer - Public Sector Forensic ScientistForensic Scientist Forest Officer/ManagerForest Officer/Manager Freight ForwarderFreight Forwarder Geologist/Geological TechnicianGeologist/Geological Technician Health Service ManagerHealth Service Manager HM Customs and Excise OfficerHM Customs and Excise Officer HM Inspector of Taxes/Revenue HM Inspector of Taxes/Revenue

ExecutiveExecutive

Hotel ManagerHotel Manager Incorporated Engineer/TechnicianIncorporated Engineer/Technician Incorporated Engineer/Technician Incorporated Engineer/Technician

(Chemical)(Chemical) Incorporated Engineer/Technician Incorporated Engineer/Technician

(Mechanical)(Mechanical) Insurance BrokerInsurance Broker Insurance Claims OfficialInsurance Claims Official Insurance Loss AdjusterInsurance Loss Adjuster Insurance SalespersonInsurance Salesperson Insurance SurveyorInsurance Surveyor Insurance UnderwriterInsurance Underwriter Laboratory TechnicianLaboratory Technician Leather TechnologistLeather Technologist Lecturer: Further/Tertiary educationLecturer: Further/Tertiary education Lecturer: Higher EducationLecturer: Higher Education

CareersCareers Legal ExecutiveLegal Executive Leisure Centre ManagerLeisure Centre Manager Local Government AdministratorLocal Government Administrator Local Government Revenue OfficerLocal Government Revenue Officer Marketing ManagerMarketing Manager Materials TechnologistMaterials Technologist Medical Physics TechnicianMedical Physics Technician MerchandiserMerchandiser Merchant Navy Deck OfficerMerchant Navy Deck Officer Merchant Navy Engineering OfficerMerchant Navy Engineering Officer MeteorologistMeteorologist Microbiologist/Microbiology Microbiologist/Microbiology

TechnicianTechnician Money AdvisorMoney Advisor

OceanographerOceanographer Operational Research ScientistOperational Research Scientist Optician: Opthalmic/OptometristOptician: Opthalmic/Optometrist Pensions ManagerPensions Manager PharmacistPharmacist Photographic TechnicianPhotographic Technician Physicist/Physics TechnicianPhysicist/Physics Technician Physiological Measurement Physiological Measurement

TechnicianTechnician Pilot: AirlinePilot: Airline Pilot: HelicopterPilot: Helicopter Printing Administrator/TechnologistPrinting Administrator/Technologist Production Assistant/Co-ordinator Production Assistant/Co-ordinator

(Media/Stage)(Media/Stage) PsychologistPsychologist RadiographerRadiographer Royal Air Force Airman/womanRoyal Air Force Airman/woman

CareersCareers Royal Air Force OfficerRoyal Air Force Officer Royal Marines OfficerRoyal Marines Officer Royal Navy OfficerRoyal Navy Officer Royal Navy RatingRoyal Navy Rating Sales ManagerSales Manager Sales RepresentativeSales Representative ScientistScientist SecretarySecretary Stock Exchange Investment AnalystStock Exchange Investment Analyst Stock Exchange Market MakerStock Exchange Market Maker Stock Exchange StockbrokerStock Exchange Stockbroker Store ManagerStore Manager Surveying Technician: General PracticeSurveying Technician: General Practice Surveying Technician: Surveying Technician:

Quantity/BuildingQuantity/Building Surveyor/Surveying Technician: Surveyor/Surveying Technician:

Mineral/Mining Mineral/Mining Surveyor: BuildingSurveyor: Building Surveyor: Land/HydrographicSurveyor: Land/Hydrographic

Surveyor: Planning and Surveyor: Planning and DevelopmentDevelopment

Surveyor: QuantitySurveyor: Quantity Surveyor: Rural Practice/Land AgentSurveyor: Rural Practice/Land Agent Surveyor: Valuation/AuctioneerSurveyor: Valuation/Auctioneer Teacher: School (England & Wales)Teacher: School (England & Wales) Teacher: School (Scotland)Teacher: School (Scotland) Teacher: Special Educational NeedsTeacher: Special Educational Needs Technician: EducationTechnician: Education Textile Dyeing TechnicianTextile Dyeing Technician Textile TechnicianTextile Technician Town PlannerTown Planner Trading Standards OfficerTrading Standards Officer Transport Manager: RoadTransport Manager: Road Travel Agency ManagerTravel Agency Manager Warehouse ManagerWarehouse Manager Work Study/Organisation and Work Study/Organisation and

Methods OfficerMethods Officer

CHALLENGECHALLENGE

Can you think of a job that Can you think of a job that NEVER needs Mathematics? NEVER needs Mathematics?

If you can, let us know!! If you can, let us know!!

Interesting Statistical FactInteresting Statistical Fact

Two people with Two people with identical A level identical A level grades – one with grades – one with A Level Maths, A Level Maths, one without!one without!

The person with A Level Maths earns The person with A Level Maths earns on average 10% more than the person on average 10% more than the person without!!without!!

What is involved?What is involved?

AS GCE Mathematics (3890) AS GCE Mathematics (3890)

Either C1, C2, and S1Either C1, C2, and S1 Or C1, C2 and M1Or C1, C2 and M1

AS GCE Further Mathematics (3891)

Either Either FP1, D1 and S1 Or FP1, D1 and M1

What is involved?What is involved?

Advanced GCE Mathematics (7890)Advanced GCE Mathematics (7890)

Either Either C1, C2C1, C2 M1M1

Or Or C1, C2C1, C2 S1S1

+ C3, C4+ C3, C4

+ S2+ S2 + C3, + C3,

C4C4

+ M2+ M2

C1, C2C1, C2 M1M1

+ C3, + C3, C4C4

+ S1+ S1

Or

What is involved?What is involved?

Advanced GCE Mathematics (7890) Advanced GCE Mathematics (7890) Advanced Subsidiary GCE Further Advanced Subsidiary GCE Further MathematicsMathematics (3892) (3892)

C1, C1, C2C2

M1M1 S1 S1 D1D1 FP1FP1

+ C3, C4+ C3, C4

Either + M2 Either + M2

Or + S2 Or + S2

What is involved?What is involved?

Advanced GCE Mathematics (7840) + Advanced GCE Mathematics (7840) + Advanced GCE Further MathematicsAdvanced GCE Further Mathematics

C1, C1, C2 C2

M1M1 S1S1 D1D1 FP1FP1

+ C3, + C3, C4 C4

+ M2 + M2

+ S2+ S2

+FP2 +FP2

Either Either M3 M3

Or S3Or S3

Or D2Or D2

Or Or FP3FP3

+

Pure Maths SectionPure Maths Section

Core Mathematics 1 (C1) (4721)Core Mathematics 1 (C1) (4721) (AS) Indices & (AS) Indices & Surds; Polynomials; Coordinate Geometry & Surds; Polynomials; Coordinate Geometry & Graphs; Differentiation. Graphs; Differentiation. (Non calculator paper)(Non calculator paper)

Core Mathematics 2 (C2) (4722)Core Mathematics 2 (C2) (4722) (AS)(AS) Trigonometry; Sequences and series; Algebra; Trigonometry; Sequences and series; Algebra; Integration.Integration.

Core Mathematics 3 (C3) (4723)Core Mathematics 3 (C3) (4723) (A2)(A2) Algebra Algebra and Functions; Trigonometry; Differentiation and Functions; Trigonometry; Differentiation and Integration; Numerical Methods.and Integration; Numerical Methods.

Core Mathematics 4 (C4) (4724) (A2) Algebra Core Mathematics 4 (C4) (4724) (A2) Algebra and Graphs; Differentiation and Integration; and Graphs; Differentiation and Integration; Differential Equations; Vectors.Differential Equations; Vectors.

Pure Maths SectionPure Maths Section

Further Pure Mathematics 1 (FP1) (4725)Further Pure Mathematics 1 (FP1) (4725) (AS)(AS) Summation of series; Mathematical Induction; Summation of series; Mathematical Induction; Roots of Polynomial Equations; Complex Roots of Polynomial Equations; Complex Numbers.Numbers.

Further Pure Mathematics 2 (FP2) (4726)Further Pure Mathematics 2 (FP2) (4726) (A2)(A2) Rational Functions and Graphs; Polar Rational Functions and Graphs; Polar coordinates; Hyperbolic functions; Differentiation coordinates; Hyperbolic functions; Differentiation and Integration; Numerical Methods.and Integration; Numerical Methods.

Further Pure Mathematics 3 (FP3) (4727)Further Pure Mathematics 3 (FP3) (4727) (A2)(A2) Differential Equations; Vectors; Complex Differential Equations; Vectors; Complex Numbers; Groups.Numbers; Groups.

Mechanics SectionMechanics Section

Mechanics 1 (M1) (4728)Mechanics 1 (M1) (4728) (AS)(AS) Force as a vector; Force as a vector; Equilibrium of a particle; Kinematics of motion in a Equilibrium of a particle; Kinematics of motion in a straight line; Newton’s laws of motion; Linear straight line; Newton’s laws of motion; Linear momentum.momentum.

Mechanics 2 (M2) (4729)Mechanics 2 (M2) (4729) (A2)(A2) Centre of mass; Centre of mass; Equilibrium of a rigid body; Motion of a projectile; Equilibrium of a rigid body; Motion of a projectile; Uniform motion in a circle; Coefficient of restitution Uniform motion in a circle; Coefficient of restitution and impulse; Energy, work and Power.and impulse; Energy, work and Power.

Mechanics 3 (M3) (4730)Mechanics 3 (M3) (4730) (A2)(A2) Equilibrium of rigid Equilibrium of rigid bodies in contact; Elastic strings and springs; Impulse bodies in contact; Elastic strings and springs; Impulse and momentum in two dimensions; Motion in a and momentum in two dimensions; Motion in a vertical circle; Linear motion under a variable force; vertical circle; Linear motion under a variable force; Simple Harmonic Motion.Simple Harmonic Motion.

Statistics SectionStatistics Section

Probability and Statistics 1 (S1) (4732) (AS)Probability and Statistics 1 (S1) (4732) (AS) Representation of data; Probability; Discrete Representation of data; Probability; Discrete Random Variables; Bivariate dataRandom Variables; Bivariate data

Probability and Statistics 2 (S2) (4733) (A2)Probability and Statistics 2 (S2) (4733) (A2) Continuous Random Variables; The Normal Continuous Random Variables; The Normal Distribution; The Poisson Distribution; Sampling and Distribution; The Poisson Distribution; Sampling and Hypothesis testing.Hypothesis testing.

Probability and Statistics 3 (S3) (4734) (A2)Probability and Statistics 3 (S3) (4734) (A2) Continuous random variables; Linear combinations Continuous random variables; Linear combinations of random variables; Confidence intervals and the of random variables; Confidence intervals and the tt distribution; Difference of population means and distribution; Difference of population means and proportions; the chi squared test.proportions; the chi squared test.

Discrete Maths SectionDiscrete Maths Section

Discrete Mathematics 1 (D1) (4736) (AS)Discrete Mathematics 1 (D1) (4736) (AS) Algorithms; Graph Theory; Networks; Linear Algorithms; Graph Theory; Networks; Linear Programming.Programming.

Discrete Mathematics 2 (D2) (4737) (A2) Game Discrete Mathematics 2 (D2) (4737) (A2) Game theory; Flows in a network; Matching and theory; Flows in a network; Matching and allocation problems; Critical Path Analysis; allocation problems; Critical Path Analysis; Dynamic ProgrammingDynamic Programming

Thank you for Thank you for listening……listening……

Any Questions??Any Questions??