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What use is it
Mathematics – What Use Is It?
The resources below have come from a variety of sources; they have been
gathered to provide examples of the use of GCE mathematics outside of the
classroom. The Mathematical Content
section is followed by a section listing the Resources.
Asterisked items contain exercises; italic items are on-line.
Content is divided into the following sections:
Core
Algebra and functions
Coordinate geometry in the
(x, y) plane
Sequences and series
Trigonometry
Exponentials and logarithms
Differentiation
Integration
Numerical Methods
Vectors
Non-Core
Further Pure Mathematics
Decision and Discrete
Mathematics
Mechanics
Probability and Statistics
Algebra
and functions
Quadratic
functions and their graphs
Tractive Effort,
Acceleration and Braking
Discriminant of a quadratic function
Tractive Effort,
Acceleration and Braking
Completing the square
Tractive Effort,
Acceleration and Braking
Simultaneous
Equations
Mathematical Modelling
in Economics
Mathematics in
the Electronic Systems Industry
Simultaneous equations: analytical solution by
substitution of one linear and one quadratic equation
Ventilation Systems
Coordinate geometry in the (x, y)
plane
Equation of a
straight line
Telemetry
Sequences and series
Benford’s Law
Computer Science
Mathematical Modelling in
Populations
Mathematics in the Aviation
Industry
Arithmetic Series
Mathematical
Modelling in Traffic Flows
Geometric Series
Mathematical
Modelling in Traffic Flows
Trigonometry
Mathematical
Modelling in Navigation
Trigonometry – Applications with Sources
Cosine Rule
Sports Measurement
Exponentials and logarithms
Exponentials
Mathematical Modelling
in Economics
ex as a limit
Mathematics in
Communications Engineering
Mission Improbable
Logarithms
Benford’s Law
Exponential
growth and decay
Mathematical Modelling
in Crop Growth
Mathematical Modelling
in Populations
Differentiation
Random
Transmitters
Product rule
Mathematics in
Communications Engineering
Chain rule
Random Transmitters
Tractive Effort,
Acceleration and Braking
Applications of
differentiation to
maxima and minima and stationary points
Mathematics in
Communications Engineering
Random Transmitters
Integration
Integration of
trigonometric functions
Mathematical Modelling
in Crop Growth
Integration by
substitution
Tractive Effort,
Acceleration and Braking
Integration using
partial fractions
Mathematical Modelling
in Populations
Tractive Effort,
Acceleration and Braking
Analytic solution
of first order differential equation
with separable variables
Mathematical Modelling
In Populations
Mathematics in the
Aviation Industry
Tractive Effort,
Acceleration and Braking
Numerical Methods
none
Vectors
Mathematics in the Aviation
Industry
Mathematics in the
Electronic Systems Industry
National Air Traffic Services
Scalar Product
Mathematics in the
Aviation Industry
National Air Traffic Services
Further Pure Mathematics
Integration
involving trigonometry (beyond Core)
Antenna
Mathematical Modelling
in Navigation
Matrices
Mathematics in
the Electronic Systems Industry
Mathematical Modelling
in Tournaments
Decision and Discrete Mathematics
Algorithms
Computer Science
Codes
Computer Science
Mathematics in
Communications Engineering
Difference
Equations
Mathematical Modelling
in Populations
Graphs
Mathematical Modelling
in Tournaments
Mechanics
Forces
Joint Moments and Muscle
Forces
Mathematics in the Electronic Systems Industry
Rigid Bodies
Centre of Mass
Joint Moments and Muscle
Forces
Moments
Joint Moments and Muscle
Forces
Mathematics in
the Electronic Systems Industry
Moments of Inertia
Joint Moments and Muscle
Forces
Kinematics
Constant Acceleration
Mathematics and Railway
Signalling
Probability and Statistics
Probability
Independent Events
Mission Improbable
National Air Traffic Services
Random Transmitters
Bayes Theorem
Mathematical Modelling In
Heredity
Tennis
Expectation
Mathematical Modelling in
Gambling
Continuous
Distributions
Normal Distribution
Benford’s Law
Mathematics in
Communications Engineering
Mathematical Modelling
in Insurance
Mission Improbable
Discrete
Distributions
Binomial Distribution
Mathematics in
Communications Engineering
Mission Improbable
Poisson Distribution
Mathematical Modelling
in Insurance
Real-Life Examples in
Medical Statistics
Hypothesis Tests
Chi-Squared Test of Association
Real-Life Examples in
Medical Statistics
Bivariate Data
Least-Squares Linear Regession
Mathematics in
the Electronic Systems Industry
Antenna* – 2-page Word document.
Benford’s Law* (comprehension exercise) – 2-page
Word document.
Bibliography of printed (and some other)
materials – 1-page Word document.
Computer Science – 12-page Word document.
Joint
Moments and Muscle Forces – 2-page Word
document.
Mathematical Modelling in Crop Growth*
(worksheet) – 5-page Word document.
Mathematical
Modelling in Economics* (worksheet) –
7-page Word document.
Mathematical
Modelling in Gambling * (worksheet)
– 8-page Word document.
Mathematical Modelling in Heredity* (worksheet) –
8-page Word document.
Mathematical Modelling in
Insurance* (worksheet) –
6-page Word document.
Mathematical Modelling in Navigation*
(worksheets) – 11-page Word document.
Mathematical Modelling in Populations*
(worksheets) – 19-page Word document.
Mathematical Modelling in Tournaments*
(worksheets) – 14-page Word document.
Mathematical Modelling in Traffic
Flows* (worksheet) – 7-page Word document.
Mathematics and Railway
Signalling – 4-page Word
document.
Mathematics in
Communications Engineering* (developed from Mission Improbable) –
3-page Word document.
Mathematics in the
Aviation Industry* – 3-page
Word document [a 4-page Word document giving a critique
of this resource is available].
Mathematics in
the Electronic Systems Industry* – 3-page Word document.
Mission Improbable (probability in communications engineering) – 19-slide Word presentation
National
Air Traffic Services – 8-page Word document.
Plus (mathematical magazine) – http://www.plus.maths.org.uk
Random Transmitters (developed from Mission Improbable) – 2-page
Word document [a 2-page Word document giving a critique of this resource is
available].
Real-Life Examples in Medical
Statistics* – 2-page
Word document.
Sports Measurement
Telemetry – 9-slide PowerPoint
presentation with 1-page Word background document.
Tennis (an
example of mathematics in the news) – http://news.independent.co.uk/world/science_medical/story.jsp?story=481351
Tractive Effort,
Acceleration and Braking (applications
in the railway industry) – 8-page Word document.
Trigonometry – Applications with Sources (references to published
material) – 1-page Word document
Ventilation
Systems – 3-page Word
document.
An activity of
the
Post-16
Subcommittee of Teaching Committee
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