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basic_engineering_mathematics0

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Contents<br />

Preface<br />

xi<br />

1. Basic arithmetic 1<br />

1.1 Arithmetic operations 1<br />

1.2 Highest common factors and lowest common multiples 3<br />

1.3 Order of precedence and brackets 4<br />

2. Fractions, decimals and percentages 6<br />

2.1 Fractions 6<br />

2.2 Ratio and proportion 8<br />

2.3 Decimals 9<br />

2.4 Percentages 11<br />

Assignment 1 13<br />

3. Indices, standard form and <strong>engineering</strong> notation 14<br />

3.1 Indices 14<br />

3.2 Worked problems on indices 14<br />

3.3 Further worked problems on indices 16<br />

3.4 Standard form 17<br />

3.5 Worked problems on standard form 18<br />

3.6 Further worked problems on standard form 19<br />

3.7 Engineering notation and common prefixes 19<br />

4. Calculations and evaluation of formulae 21<br />

4.1 Errors and approximations 21<br />

4.2 Use of calculator 22<br />

4.3 Conversion tables and charts 25<br />

4.4 Evaluation of formulae 27<br />

Assignment 2 29<br />

5. Computer numbering systems 30<br />

5.1 Binary numbers 30<br />

5.2 Conversion of binary to denary 30<br />

5.3 Conversion of denary to binary 31<br />

5.4 Conversion of denary to binary via octal 32<br />

5.5 Hexadecimal numbers 33<br />

6. Algebra 37<br />

6.1 Basic operations 37<br />

6.2 Laws of indices 39<br />

6.3 Brackets and factorization 41

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