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Foundation Maths

 
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Foundation Maths has been written for students taking higher or further education courses, who have not specialised in mathematics on post-16 qualifications and need to use mathematical tools in their courses. It is ideally suited for those studying marketing, business studies, management, science, engineering, computer science, social science, geography, combined studies and design. It will be useful for those who lack confidence and need careful, steady guidance in mathematical methods. Even for those whose mathematical expertise is already established, the book will be a helpful revision and reference guide. The style of the book also makes it suitable for self-study or distance learning.


Table of contents

 

Contents

Preface

Guided tour

Mathematical symbols

1 Arithmetic of whole numbers 

2 Fractions 

3 Decimal fractions 

4 Sets 

5 Percentage and ratio 

6 Algebra 

7 Indices 

8 Number bases 

9 Elementary logic 

10 Simplifying algebraic expressions 

11 Factorisation 

12 Algebraic fractions 

13 Transposing formulae 

14 Solving equations 

15 Sequences and series

16 Functions 

17 Graphs of functions

18 The straight line 

19 The exponential function 

20 The logarithm function 

21 Angles 

22 Introduction to trigonometry

23 The trigonometrical functions and their graphs  

24 Trigonometrical identities and equations  

25 Solution of triangles 

26 Matrices 294 

27 Measurement 300 

28 Gradients of curves 316 

29 The product and quotient rules of differentiation 333 

30 Integration and areas under curves 340 

31 Integration by parts 357 

32 Functions of more than one variable and partial differentiation 365 

33 Tables and charts 382 

34 Statistics 399 

35 Probability 413

36 Correlation 422

37 Regression 437

Solutions 444

Index 520

 




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