Revision Pack and Handbook
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No ISBN given
164 pages
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Revision Pack
Content:
- Numbers
- Measures
- Some basic figures
- Coordinates and lines
- Algebra
- Trigonometry
- Graphs and functions
- Geometry
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ISBN 0 7492 6660 0
48 pages
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Handbook
Content:
- The Greek alphabet
- SI units
- Mathematical modelling
- Some useful graphs
- Notation
- Glossary
- Background material for MST121
- Definitions and results in MST121
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Block A: Mathematics and Modelling
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ISBN 0 7492 6685 6
48 pages
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Chapter A0
Starting points
Content:
- Installing the course software
- Introduction to Mathcad
- Calculation
- Algebra
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ISBN 0 7492 9398 5
51 pages
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Chapter A1
Sequences
Content:
- What is a sequence?
- Arithmetic sequences
- Geometric sequences
- Linear recurrence sequences
- Long-term behaviour of sequences
- Investigating sequences with the computer
- Sequences and modelling
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ISBN 0 7492 9304 7
60 pages
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Chapter A2
Lines and circles
Content:
- Lines
- Circles
- Trigonometry
- Parametric equations
- Parametric equations by computer
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ISBN 0 7492 9309 8
62 pages
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Chapter A3
Functions
Content:
- What is a function?
- Quadratic functions
- Trigonometric and exponential functions
- Inverse functions
- Functions, graphs and equations on the computer
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Block B: Discrete Modelling
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ISBN 0 7492 3463 6
61 pages
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Chapter B1
Modelling with sequences
Content:
- Modelling car ownership
- Populations: exponential model
- Populations: logistic model
- Logistic recurrence sequences on the computer
- Sequences and limits
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ISBN 0 7492 3464 4
56 pages
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Chapter B2
Modelling with matrices
Content:
- Networks and matrices
- Matrix manipulation
- A population problem
- Computing with matrices
- Simultaneous linear equations and matrices
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ISBN 0 7492 3465 2
70 pages
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Chapter B3
Modelling with vectors
Content:
- Vectors and geometry
- Modelling displacements and velocities
- Sine rule and Cosine rule
- Modelling forces
- Analysing force problems
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Block C: Continuous Models
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ISBN 0 7492 5557 9
64 pages
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Chapter C1
Differentiation and modelling
Content:
- What is differentiation?
- Graphs and optimisation
- Differentiating further functions
- Products, quotients and composites
- Optimisation with the computer
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ISBN 0 7492 5554 4
64 pages
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Chapter C2
Integration and modelling
Content:
- Basics of integration
- Further integration
- Modelling motion
- Definite integrals, areas and summations
- Integration with the computer
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ISBN 0 7492 5555 2
52 pages
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Chapter C3
Differential equations and modelling
Content:
- Differential equations and direct integration
- Solution by separation of variables
- Modelling growth and decay
- Differential equations with the computer
- A look ahead
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Block D: Modelling Uncertainty
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ISBN 0 7492 6661 9
60 pages
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Chapter D1
Chance
Content:
- Questions of chance
- Exploring the problems
- Equally-likely outcomes
- Waiting for a success
- Outstanding problems
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ISBN 0 7492 6662 7
44 pages
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Chapter D2
Modelling variation
Content:
- Models for variation
- Choosing a normal model
- Fitting a normal model
- Are people getting taller?
- Exploring normal distributions
- Properties of normal distributions
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ISBN 0 7492 6663 5
36 pages
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Chapter D3
Estimating
Content:
- Populations and samples
- Estimating with confidence
- Confidence intervals on the computer
- Why are opinion polls sometimes wrong?
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ISBN 0 7492 6686 4
51 pages
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Chapter D4
Further investigations
Content:
- Memory and age
- Exploring the data
- How to tell a female meadow pipit from a male
- Testing for a difference
- Testing the strength of concrete
- Fitting a line to data
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Computer Books
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ISBN 0 7492 6656 2
34 pages
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Computer Book A
Mathematics and Modelling
Content:
- Investigating sequences with the computer
- Parametric equations by computer
- Functions, graphs and equations on the computer
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ISBN 0 7492 6657 0
24 pages
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Computer Book B
Discrete Modelling
Content:
- Logistic recurrence sequences on the computer
- Computing with matrices
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ISBN 0 7492 6658 9
32 pages
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Computer Book C
Continuous Models
Content:
- Optimisation with the computer
- Integration with the computer
- Differential equations with the computer
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ISBN 0 7492 0275 0
70 pages
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Computer Book D
Modelling Uncertainty
Content:
- Exploring the problems
- Fitting a normal model
- Confidence intervals on the computer
- Exploring the data
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