The book is based on a second year course taught by the author in the La Trobe University School of Mathematics. The mathematical knowledge assumed is that gained from first-year mathematics, namely basic calculus and elementary matrix algebra.
Contents: Introduction to the spreadsheet; Convergence of sequences; Simultaneous linear equations; Solution of non-linear equations; Numerical integration; Ordinary differential equations; Partial differential equations.
250 pages, 1997, 15.95 Pounds Sterling.
The book is aimed at students in the over-16 age range in sixth forms, colleges and first year higher education in universities, in the UK and USA. The choice of topics is compatible with A level mathematics in the UK, SCAA guidelines and NCTM standards in the USA.
Concepts are illustrated, techniques and methods presented, and modelling and applications are explained. Activity Worksheets, Help Sheets and Teaching Notes cover a wide range of mathematical topics, including: functions and graphs, differentiation, integration, sequences and series, vectors and matrices, mechanics, trigonometry, and numerical methods. The activities illustrate the potential impact of this revolutionary technology and will help teachers and lecturers make a start in implementing its use.
The design of the book enables it to be used flexibly for class, lab, group or individual work. Appendices give overviews of DERIVE, Maple, Mathematica, Theorist (MathPlus), Macsyma and the TI-92 calculator, showing how each implements the key commands.
What the book offers:-
* 23 photocopiable student worksheets
* 23 photocopiable optional student help sheets
* detailed teaching notes and solutions
* an approach which permits use of any computer algebra system
* a range of mathematical topics in the 16+ curriculum
* activities which easily align with standard teaching topics
Organisation and content:-
The activities are at different levels of difficulty, making it easier to identify activities for the particular needs of any group of students. Some activities cover mathematical techniques and concepts and many relate to an applicable mathematics or modelling context. In some cases, suggested extensions to activities provide ample material for an extended project.
126 pages, 1997, 19.95 Pounds Sterling.
As with any powerful tool, guidance in its use is necessary. This book is a collaboration between many of the world's leading experts on using computer algebra systems to teach mathematics. It distills their combined expertise into one volume and represents the state of the art.
168 pages, 1997, 20 Pounds Sterling.
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