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## Basic Engineering Mathematics 5th Edition PDF Free Download

### Basic Engineering Mathematics 5th Edition

- 1. Basic arithmetic

1.1 Arithmetic operations

1.2 Highest common factors and lowest common multiples

1.3 Order of Precedence and Brackets

**Fractions, decimals, and percentages**

2.1 Fractions

2.2 Ratio and proportion

2.3 Decimals

2.4 Percentages Assignment I

**3. Indices, standard form, and engineering notation**

3.1 Indices

3.2 Worked problems on indices

3.3 Further worked problems on indices

3.4 Standard form

3.5 Worked problems on a standard form

3.6 Further worked problems on a standard form

3.7 Engineering Notation and common prefixes

**Calculations and evaluation of formulae**

4.1 Errors and approximations

4.2 Use of calculator

43 Conversion tables and charts

4.4 Evaluation of Formulas

Assignment 2

**Computer numbering systems**

5.1 Binary numbers

5.2 Conversion of binary to denary

5.3 Conversion of denary to binary

5.4 Conversion of denary to binary via octal

5.5 Hexadecimal numbers

**Algebra**

6.1 Basic operations

6.2 Laws of Indices 63 Brackets and Factorization

**7. Powers, roots, and laws of indices**

- Introduction
- Powers and roots
- Laws of indies

**8. Units, prefixes, and engineering notation **

- Introduction
- SI units
- Common prefixes
- Standard form
- Engineering notation

**9. Basic algebra **

- Introduction
- Basic operations
- Laws of indices

**10. Further algebra **

- Introduction
- Brackets
- Factorization
- Laws of precedence

**11. Solving simple equations**

- Introduction
- Solving equations
- Practical problems involving simple equations
- Transposing formulae
- Introduction
- Transposing formulae
- Further transposing of formulae
- More difficult transposing of formulae

**13. Solving simultaneous equations **

- Introduction
- Solving simultaneous equations in two unknowns
- Further solving of simultaneous equations
- Solving more difficult simultaneous equations
- Practical problems involving simultaneous equations
- Solving simultaneous equations in three unknowns

**14. Solving quadratic equations **

- Introduction
- A solution of quadratic equations by factorization
- The solution of quadratic equations by ‘completing the square’
- A solution of quadratic equations by formula
- Practical problems involving quadratic equations
- A solution of linear and quadratic equations simultaneously

**15. Logarithms**

- Introduction to logarithms
- Laws of logarithms
- Indicial equations
- Graphs of logarithmic functions

**16. Exponential functions **

- Introduction to exponential functions
- The power series for e
- Graphs of exponential functions
- Napierian logarithms
- Laws of growth and decay

**17. Straight-line graphs**

- Introduction to graphs
- Axes, scales, and co-ordinates
- Straight-line graphs
- Gradients, intercepts, and equations of graphs
- Practical problems involving straight-line graphs

**18. Graphs reducing non-linear laws to linear form**

- Introduction
- Determination of law
- Revision of laws of logarithms
- Determination of law involving logarithms

**19. Graphical solution of equations **

- Simultaneous equations
- Quadratic equations
- Linear and quadratic equations simultaneously
- Cubic equations

**20. Angles and triangles**

- Introduction
- Angular measurement
- Triangles
- Congruent triangles
- Similar triangles
- Construction of triangles

**21. Introduction to trigonometry **

- Introduction
- The theorem of Pythagoras
- Sines, cosines, and tangents
- Evaluating trigonometric ratios of acute angles
- Solving right-angled triangles
- Angles of elevation and depression

**22 Trigonometric waveforms**

- Graphs of trigonometric functions
- Angles of any magnitude
- The production of sine and cosine waves
- The terminology involved with sine and cosine waves
- Sinusoidal form: Asin(ωt ±α)

**23. Non-right-angled triangles and some practical applications**

- The sine and cosine rules
- Area of any triangle
- Worked problems on the solution of triangles and their areas
- Further worked problems on the solution of triangles and their areas
- Practical situations involving trigonometry
- Further practical situations involving trigonometry

**24. Cartesian and polar coordinates**

- Introduction
- Changing from Cartesian to polar coordinates
- Changing from polar to Cartesian coordinates
- Use of Pol/Rec functions on calculators

Language | English |

No. of Pages | 377 |

PDF Size | 3.3 MB |

Category | Education |

Source/Credits | – |

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Basic Engineering Mathematics 5th Edition PDF Free Download

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