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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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