Modelling Book using DERIVE, available from Chartwell-Yorke

Learning Modelling with DERIVE S. Townend, D. Pountney
Develops undergraduate mathematical modelling skills with the support of DERIVE. The book provides students with the opportunity to develop both their problem-solving and IT skills through the fully integrated use of DERIVE. The authors' experience of teaching modelling at Liverpool John Moores University shows that the use of DERIVE enhances the students' modelling expertise.
- Gently guides the reader through the problem formulating, solution and revision stages of modelling.
- Provides a wide range assortment of case studies, some of which are developed fully while others have only hints provided. A wide-ranging set of modelling problems is also provided.

CONTENTS:
Preface
Chapter 1: Mathematical Modelling; Introduction; Place kicking in rugby football; Epilogue; references.
Chapter 2: Trigonometric Models; Introduction; The right turn swing; Good shot sir!; Roundabout modelling; Tumble drier design; Pursuit curves; Staggering the start; References.
Chapter 3: Algebraic Models; Introduction; Formula funding of schools; Parallel algorithms and transputers; Forest management; Modelling the brain and its behaviour; References.
Chapter 4: Optimization Models; Introduction; Scheduling of dockside loading facilities; Lotteries and raffles; Optimizing sports performances; Tin can manufacture; Location of an emergency unit; Optimal timber cutting; References.
Chapter 5: Statistical Modelling; Introduction; Trends in Olympic performance; Shove ha'penny; Winning at badmington; Biological data modelling; References.
Chapter 6: Modelling with Differential Equations; Introduction; Population dynamics; Population dynamics with exploitation; Drug transport; Projectiles with spin; Projectiles and air resistance; Modelling a car suspension system; A strategy for learning with minimum effort; References.
Chapter 7: Modelling with Recurrence Equations; Introduction; Seal culling; Mortgage repayments; Building a nest-egg - and dismantling it!; Worms; Dish washing; Treasury models; Satellite television; The growth of the popularity of DERIVE; References.
Chapter 8: Dimensional Analysis; Introduction; Geometric similarity; Dimensions; Dimensional homogeneity; And derivatives too; The method of dimensional analysis; Resistance to locomotion; A musical diversion; Flow through pipes; Similitude; Reference.
Chapter 9: A Modelling Miscellany; Introduction; Waiting for an elevator; Growing tomatoes in grow-bags; Repayment versus endowment mortgages; Collecting football stickers; Triathlons; Traffic flow; Population drift; Queuing; Ski jumping; Roasting a turkey; Fire alarms; Hospital corridors; Ranking sports performances; The cost of leisure; The spread of disease; References.
Chapter 10: Learning Modelling - things that get in the way; Introduction; DERIVE Activities; Translation into mathematics.

DERIVE Functions and utilities.

Index

256 pages, 1995, 15.95 Pounds Sterling

Cover of "Learning Modelling with DERIVE"

 
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