MST121 Using Mathematics http://herbert.gandraxa.com/mst121_using_mathematics.xml img/mst121_menu.jpg Study books for course MST121 home.xml Home learning.xml Learning MST121 Using Mathematics ms221_exploring_mathematics.xml MS221 Exploring Mathematics hg gandraxa.com Herbert Glarner 2008Mar23 Original HTML version 2011Feb02 Recoded in XLM http://en.wikipedia.org/wiki/Open_University Open University on Wikipedia http://www3.open.ac.uk/courses/bin/p12.dll?C01eMST121 Description of MST121 on OU site (without syllabus) Syllabus Revision Pack and Handbook Block A: Mathematics and Modelling Block B: Discrete Modelling Block C: Continuous Models Block D: Modelling Uncertainty Computer Books

Abstract This page provides an overview of the Open University course's syllabus.

Note The content given is valid for the presentation which started in September 2007. Later presentations may differ in more than one aspect.

 Syllabus Revision Pack and Handbook
Revision Pack img/mst121_rp.jpg Revision Pack No ISBN given
164 pages
  • Numbers
  • Measures
  • Some basic figures
  • Coordinates and lines
  • Algebra
  • Trigonometry
  • Graphs and functions
  • Geometry
    •
    Handbook img/mst121_hb.jpg Handbook ISBN 0 7492 6660 0
    48 pages
  • The Greek alphabet
  • SI units
  • Mathematical modelling
  • Some useful graphs
  • Notation
  • Glossary
  • Background material for MST121
  • Definitions and results in MST121
    •
    Block A: Mathematics and Modelling
    Chapter A0: Starting Points img/mst121_a0.jpg A0: Starting Points ISBN 0 7492 6685 6
    48 pages
  • Installing the course software
  • Introduction to Mathcad
  • Calculation
  • Algebra
    •
    Chapter A1: Sequences img/mst121_a1.jpg A1: Sequences ISBN 0 7492 9398 5
    51 pages
  • What is a sequence?
  • Arithmetic sequences
  • Geometric sequences
  • Linear recurrence sequences ( Online Tool solving_linear_recurrence_sequences.xml )
  • Long-term behaviour of sequences
  • Investigating sequences with the computer
  • Sequences and modelling
    •
    Chapter A2: Lines and circles img/mst121_a2.jpg A2: Lines and circles ISBN 0 7492 9304 7
    60 pages
  • Lines
  • Circles
  • Trigonometry
  • Parametric equations
  • Parametric equations by computer
    •
    Chapter A3: Functions img/mst121_a3.jpg A3: Functions ISBN 0 7492 9309 8
    62 pages
  • What is a function?
  • Quadratic functions
  • Trigonometric and exponential functions
  • Inverse functions
  • Functions, graphs and equations on the computer
    •
    Block B: Discrete Modelling
    Chapter B1: Modelling with sequences img/mst121_b1.jpg A0: Starting Points ISBN 0 7492 3463 6
    61 pages
  • Modelling car ownership
  • Populations: exponential model
  • Populations: logistic model
  • Logistic recurrence sequences on the computer
  • Sequences and limits
    •
    Chapter B2: Modelling with matrices img/mst121_b2.jpg B2: Modelling with matrices ISBN 0 7492 3464 4
    56 pages
  • Networks and matrices
  • Matrix manipulation
  • A population problem
  • Computing with matrices
  • Simultaneous linear equations and matrices
    •
    Chapter B3: Modelling with vectors img/mst121_b3.jpg B3: Modelling with vectors ISBN 0 7492 3465 2
    70 pages
  • Vectors and geometry
  • Modelling displacements and velocities
  • Sine rule and Cosine rule
  • Modelling forces
  • Analysing force problems
    •
    Block C: Continuous Models
    Chapter C1: Differentiation and modelling img/mst121_c1.jpg C1: Differentiation and modelling ISBN 0 7492 5557 9
    64 pages
  • What is differentiation?
  • Graphs and optimisation
  • Differentiating further functions
  • Products, quotients and composites
  • Optimisation with the computer
    •
    Chapter C2: Integration and modelling img/mst121_c2.jpg C2: Integration and modelling ISBN 0 7492 5554 4
    64 pages
  • Basics of integration
  • Further integration
  • Modelling motion
  • Definite integrals, areas and summations
  • Integration with the computer
    •
    Chapter C3: Differential equations and modelling img/mst121_c3.jpg C3: Differential equations and modelling ISBN 0 7492 5555 2
    52 pages
  • Differential equations and direct integration
  • Solution by separation of variables
  • Modelling growth and decay
  • Differential equations with the computer
  • A look ahead
    •
    Block D: Modelling Uncertainty
    Chapter D1: Chance img/mst121_d1.jpg D1: Chance ISBN 0 7492 6661 9
    60 pages
  • Questions of chance
  • Exploring the problems
  • Equally-likely outcomes
  • Waiting for a success
  • Outstanding problems
    •
    Chapter D2: Modelling variation img/mst121_d2.jpg D2: Modelling variation ISBN 0 7492 6662 7
    44 pages
  • Models for variation
  • Choosing a normal model
  • Fitting a normal model
  • Are people getting taller?
  • Exploring normal distributions
  • Properties of normal distributions
    •
    Chapter D3: Estimating img/mst121_d3.jpg D3: Estimating ISBN 0 7492 6663 5
    36 pages
  • Populations and samples
  • Estimating with confidence
  • Confidence intervals on the computer
  • Why are opinion polls sometimes wrong?
    •
    Chapter D4: Further investigations img/mst121_d4.jpg D4: Further investigations ISBN 0 7492 6686 4
    51 pages
  • 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
    •
    Computer Books
    Block A: Mathematics and Modelling img/mst121_acb.jpg Block A: Mathematics and Modelling ISBN 0 7492 6656 2
    34 pages
  • Investigating sequences with the computer
  • Parametric equations by computer
  • Functions, graphs and equations on the computer
    •
    Block B: Discrete Modelling img/mst121_bcb.jpg Block B: Discrete Modelling ISBN 0 7492 6657 0
    24 pages
  • Logistic recurrence sequences on the computer
  • Computing with matrices
    •
    Block C: Continuous Models img/mst121_ccb.jpg Block C: Continuous Models ISBN 0 7492 6658 9
    32 pages
  • Optimisation with the computer
  • Integration with the computer
  • Differential equations with the computer
    •
    Block D: Modelling Uncertainty img/mst121_dcb.jpg Block D: Modelling Uncertainty ISBN 0 7492 0275 0
    70 pages
  • Exploring the problems
  • Fitting a normal model
  • Confidence intervals on the computer
  • Exploring the data
    •