2. Post 16 Mathematics A Level Course

3. 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:

4. What is the use of Mathematics? Geography and Environmental Sciences - Maps, Topology, Weather prediction Geography and Environmental Sciences - Maps, Topology, Weather prediction Silicon Chips - Complex Number theory Silicon Chips - Complex Number theory Computer Disks - Fractal theory Computer Disks - Fractal theory CD players and computing - error correcting codes CD players and computing - error correcting codes Supercomputers - applying speed and accuracy 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. 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 Airplanes - Airflow and control systems Body Scanners - Construction of images from a number of X - ray images Body Scanners - Construction of images from a number of X - ray images

5. What is the use of Mathematics? Quantum Physics and DNA structures - Knot theory Quantum Physics and DNA structures - Knot theory Oil Recovery Oil Recovery Engineering Engineering Artificial Intelligence Artificial Intelligence Molecular modelling and general materials Molecular modelling and general materials Economics and Finance Economics and Finance Business modelling Business modelling Signal Processing Signal Processing Industry Maintenance Industry Maintenance Sales, Marketing and Buying Sales, Marketing and Buying Operational Management Operational Management Electrical Engineering and Electromagnetics Electrical Engineering and Electromagnetics Buildings and general structures Buildings and general structures

6. University Courses courses at Degree level Mathematics is offered as a Single subject, as part of a Joint degree, or as a vital part of 422 in Great Britain alone. 422

7. University Maths Courses Calculus and Analysis Calculus and Analysis Modelling with differential equations Modelling with differential equations Linear Algebra Linear Algebra Modelling force of motion Modelling force of motion Discrete systems Discrete systems Multiple integrals Multiple integrals Vector calculus Vector calculus Real and Complex analysis Real and Complex analysis Stochastic processes Stochastic processes Fourier Series Fourier Series Dynamical systems Dynamical systems Rotational Dynamics Rotational Dynamics Environmental Statistics Environmental Statistics Fluid Mechanics Fluid Mechanics Quantum Mechanics Quantum Mechanics Set Theory Set Theory Special Relativity Special Relativity

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

9. Careers Accountant: Industry and Commerce Accountant: Industry and Commerce Accountant: Private Practice Accountant: Private Practice Accountant: Public Service Accountant: Public Service Accounting Technician Accounting Technician Actuary Actuary Air Traffic Control Officer Air Traffic Control Officer Arboriculturist Arboriculturist Archaeologist Archaeologist Architect Architect Architectural Technician Architectural Technician Army Officer Army Officer Auditor 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

10. Careers Cabinet-maker Cabinet-maker Cameraman/woman (TV/Film) Cameraman/woman (TV/Film) Catering/Restaurant Manager Catering/Restaurant Manager Chartered Engineer Chartered Engineer Chartered Engineer (Chemical) Chartered Engineer (Chemical) Chartered Engineer (Mechanical) Chartered Engineer (Mechanical) Chemist/Chemistry Technician Chemist/Chemistry Technician Civil Service Executive Officer Civil Service Executive Officer Commodity Broker Commodity Broker Computer Applications Programmer Computer Applications Programmer Computer Operator Computer Operator Computer Service Engineer/Technician Computer Service Engineer/Technician Computer Systems Analyst Computer Systems Analyst Computer Systems Programmer / Software Engineer Computer Systems Programmer / Software Engineer Conference Manager/Organiser 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

11. Careers Engineer - Research and Development Engineer - Research and Development Engineer: Chartered Civil/Structural Engineer: Chartered Civil/Structural Engineer: Incorporated/Technician - Civil Engineer: Incorporated/Technician - Civil Engineer: Incorporated/Technician – Electrical Engineer: Incorporated/Technician – Electrical Engineer: Incorporated/Technician - Electronics Engineer: Incorporated/Technician - Electronics Entertainment Manager Entertainment Manager Environmental Health Officer Environmental Health Officer Estate Agent/General Practice Surveyor Estate Agent/General Practice Surveyor Estates Officer - Public Sector Estates Officer - Public Sector Forensic Scientist Forensic Scientist Forest Officer/Manager Forest Officer/Manager Freight Forwarder Freight Forwarder Geologist/Geological Technician Geologist/Geological Technician Health Service Manager Health Service Manager HM Customs and Excise Officer HM Customs and Excise Officer HM Inspector of Taxes/Revenue Executive 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

12. Careers Legal Executive Legal Executive Leisure Centre Manager Leisure Centre Manager Local Government Administrator Local Government Administrator Local Government Revenue Officer Local Government Revenue Officer Marketing Manager Marketing Manager Materials Technologist Materials Technologist Medical Physics Technician Medical Physics Technician Merchandiser Merchandiser Merchant Navy Deck Officer Merchant Navy Deck Officer Merchant Navy Engineering Officer Merchant Navy Engineering Officer Meteorologist Meteorologist Microbiologist/Microbiology Technician Microbiologist/Microbiology Technician Money Advisor 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

13. Careers Royal Air Force Officer Royal Air Force Officer Royal Marines Officer Royal Marines Officer Royal Navy Officer Royal Navy Officer Royal Navy Rating Royal Navy Rating Sales Manager Sales Manager Sales Representative Sales Representative Scientist Scientist Secretary Secretary Stock Exchange Investment Analyst Stock Exchange Investment Analyst Stock Exchange Market Maker Stock Exchange Market Maker Stock Exchange Stockbroker Stock Exchange Stockbroker Store Manager Store Manager Surveying Technician: General Practice Surveying Technician: General Practice Surveying Technician: Quantity/Building Surveying Technician: Quantity/Building Surveyor/Surveying Technician: Mineral/Mining Surveyor/Surveying Technician: Mineral/Mining Surveyor: Building Surveyor: Building Surveyor: Land/Hydrographic 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

14. CHALLENGE Can you think of a job that NEVER needs Mathematics? If you can, let us know!!

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

16. What is involved? AS GCE Mathematics (3890) Either C1, C2, and S1 Either C1, C2, and S1 Or C1, C2 and M1 Or C1, C2 and M1 AS GCE Further Mathematics (3891) Either Either FP1, D1 and S1 Or FP1, D1 and M1

17. What is involved? Advanced GCE Mathematics (7890) Either C1, C2 C1, C2 M1 M1Or C1, C2 C1, C2 S1 S1 + C3, C4 + C3, C4 + S2 + S2 + C3, C4 + C3, C4 + M2 + M2 C1, C2 C1, C2 M1 M1 + C3, C4 + C3, C4 + S1 + S1 Or

18. What is involved? Advanced GCE Mathematics (7890) Advanced Subsidiary GCE Further Mathematics (3892) Advanced GCE Mathematics (7890) Advanced Subsidiary GCE Further Mathematics (3892) C1, C2 C1, C2 M1 M1 S1 S1 D1 D1 FP1 FP1 + C3, C4 + C3, C4 Either + M2 Or + S2

19. What is involved? Advanced GCE Mathematics (7840) + Advanced GCE Further Mathematics Advanced GCE Mathematics (7840) + Advanced GCE Further Mathematics C1, C2 C1, C2 M1 M1 S1 S1 D1 D1 FP1 FP1 + C3, C4 + M2 + S2 +FP2 Either M3 Or S3 Or D2 Or FP3 +

20. Pure Maths Section Core Mathematics 1 (C1) (4721) (AS) Indices & Surds; Polynomials; Coordinate Geometry & Graphs; Differentiation. (Non calculator paper) 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 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 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. Core Mathematics 4 (C4) (4724) (A2) Algebra and Graphs; Differentiation and Integration; Differential Equations; Vectors.

21. Pure Maths Section Further Pure Mathematics 1 (FP1) (4725) (AS) Summation of series; Mathematical Induction; Roots of Polynomial Equations; Complex Numbers. 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 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. Further Pure Mathematics 3 (FP3) (4727) (A2) Differential Equations; Vectors; Complex Numbers; Groups.

22. 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 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 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. 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.

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

24. Discrete Maths Section Discrete Mathematics 1 (D1) (4736) (AS) Algorithms; Graph Theory; Networks; Linear Programming. 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 Discrete Mathematics 2 (D2) (4737) (A2) Game theory; Flows in a network; Matching and allocation problems; Critical Path Analysis; Dynamic Programming

25. Thank you for listening…… Any Questions??