Fully worked solutions

The fully worked solutions for all the exercises in Engineering Mathematics through Applications are available to download onto your PC. Simply click the links to open a PDF in a new window.

INTRODUCTION Arithmetic for Engineers

Intro (Miscellaneous exercises) | PDF Document | (0.12Mb)

Intro(a) : Whole numbers | PDF Document | (0.077Mb)

Intro(b) : Indices | PDF Document | (0.091Mb)

Intro(c ): Numbers | PDF Document | (0.088Mb)

Intro(d) : Fractions | PDF Document | (0.069Mb)

Intro(e ): Arithmetic of fractions | PDF Document | (0.095Mb)

Intro(f) : Decimals | PDF Document | (0.085Mb)

Intro(g): Powers of 10 | PDF Document | (0.108Mb)

Intro(h): Conversion | PDF Document | (0.092Mb)

Intro(i): Arithmetical operations | PDF Document | (0.095Mb)

Intro(j): Percentages | PDF Document | (0.094Mb)

Intro(k) : Ratios | PDF Document | (0.089Mb)

1 Engineering Formulae

1 (Miscellaneous exercises) | PDF Document | (0.183Mb)

1 Examination Questions | PDF Document | (0.083Mb)

1(a) Substitution and transposition | PDF Document | (0.084Mb)

1(b) Transposing engineering formulae | PDF Document | (0.125Mb)

1(c) Indices | PDF Document | (0.041Mb)

1(d) Dimensional Analysis | PDF Document | (0.079Mb)

1(e) Expansion of brackets | PDF Document | (0.1Mb)

1(f) Factorization | PDF Document | (0.054Mb)

1(g) Quadratic equations | PDF Document | (0.082Mb)

1(h) Simultaneous equations | PDF Document | (0.06Mb)

2 Visualising Engineering Formulae

2 (Miscellaneous exercises) | PDF Document | (0.156Mb)

2 Examination Questions | PDF Document | (0.077Mb)

2(a) Graphs | PDF Document | (0.056Mb)

2(b) Applications of graphs | PDF Document | (0.096Mb)

2(c) Quadratic graphs | PDF Document | (0.1Mb)

2(d) Quadratics revisited | PDF Document | (0.08Mb)

2(e) Further graphs | PDF Document | (0.130Mb)

2(f) Binomial expansion | PDF Document | (0.284Mb)

3 Functions in Engineering

3 (Miscellaneous exercises) | PDF Document | (0.151Mb)

3 Examination Questions | PDF Document | (0.098Mb)

3(a) Concepts of functions | PDF Document | (0.079Mb)

3(b) Inverse Functions | PDF Document | (0.063Mb)

3(c) Graphs of functions | PDF Document | (0.096Mb)

3(d) Combinations of functions | PDF Document | (0.096Mb)

3(e) Limits of functions | PDF Document | (0.073Mb)

3(f) Modulus function | PDF Document | (0.065Mb)

4 Trigonometry and Waveforms

4 (Miscellaneous exercises) | PDF Document | (0.144Mb)

4 Examination Questions | PDF Document | (0.143Mb)

4(a) Trigonometric functions | PDF Document | (0.177Mb)

4(b) Angles and graphs | PDF Document | (0.108Mb)

4(c) Trigonometric equations | PDF Document | (0.11Mb)

4(d) Trigonometric rules | PDF Document | (0.098Mb)

4(e) Radians | PDF Document | (0.68Mb)

4(f) Wave theory | PDF Document | (0.117Mb)

4(g) Trigonometric identities | PDF Document | (0.091Mb)

4(h) Applications of identities | PDF Document | (0.074Mb)

4(i) Conversion | PDF Document | (0.096Mb)

5 Logarithmic, Exponential and Hyperbolic Functions

5 (Miscellaneous exercises) | PDF Document | (0.114Mb)

5 Examination Questions | PDF Document | (0.551Mb)

5(a) Indices revisited | PDF Document | (0.069Mb)

5(b) The exponential function | PDF Document | (0.093Mb)

5(c) The logarithmic function | PDF Document | (0.066Mb)

5(d) Applications of logarithms | PDF Document | (0.096Mb)

5(e) Hyperbolic functions | PDF Document | (0.084Mb)

6 Differentiation

6 (Miscellaneous exercises) | PDF Document | (0.108Mb)

6 Examination Questions | PDF Document | (0.187Mb)

6(a) The derivative | PDF Document | (0.055Mb)

6(b) Derivatives of functions | PDF Document | (0.079Mb)

6(c) Chain rule revisited | PDF Document | (0.078Mb)

6(d) Product and quotient rules | PDF Document | (0.109Mb)

6(e) Higher derivatives | PDF Document | (0.097Mb)

6(f) Parametric differentiation | PDF Document | (0.103Mb)

6(g) Implicit and logarithmic differentiation | PDF Document | (0.105Mb)

7 Engineering Applications of Differentiation

7 (Miscellaneous exercises) | PDF Document | (0.231Mb)

7 Examination Questions | PDF Document | (0.168Mb)

7(a) Curve sketching | PDF Document | (0.134Mb)

7(b) Optimization problems | PDF Document | (0.11Mb)

7(c) First derivative test | PDF Document | (0.083Mb)

7(d) Applications to kinematics | PDF Document | (0.084Mb)

7(e) Tangents and normals | PDF Document | (0.092Mb)

7(f) Series expansion | PDF Document | (0.212Mb)

7(g) Binomial revisited | PDF Document | (0.116Mb)

7(h) Introduction to infinite series | PDF Document | (0.122Mb)

7(i) Numerical solution of equations | PDF Document | (0.075Mb)

8 Integration

8 (Miscellaneous exercises) | PDF Document | (0.14Mb)

8 Examination Questions | PDF Document | (0.202Mb)

8(a) Introduction to integration | PDF Document | (0.13Mb)

8(b) Rules of integration | PDF Document | (0.095Mb)

8(c) Integration by substitution | PDF Document | (0.105Mb)

8(d) Applications of integration | PDF Document | (0.272Mb)

8(e) Integration by parts | PDF Document | (0.087Mb)

8(f) Algebraic fractions | PDF Document | (0.115Mb)

8(g) Integration of algebraic fractions | PDF Document | (0.123Mb)

8(h) Integration by substitution revisited | PDF Document | (0.16Mb)

8(i) Trigonometric techniques for integration | PDF Document | (0.092Mb)

9 Engineering Applications of Integration

9 (Miscellaneous exercises) | PDF Document | (0.158Mb)

9 Examination Questions | PDF Document | (0.061Mb)

9(a) Trapezium rule | PDF Document | (0.097Mb)

9(b) Further numerical integration | PDF Document | (0.125Mb)

9(c) Engineering applications | PDF Document | (0.18Mb)

9(d) Applications in mechanics | PDF Document | (0.113Mb)

9(e) Miscellaneous applications of integration | PDF Document | (0.104Mb)

10 Complex Numbers

10 (Miscellaneous exercises) | PDF Document | (0.094Mb)

10 Examination Questions | PDF Document | (0.222Mb)

10(a) Arithmetic of complex numbers | PDF Document | (0.158Mb)

10(b) Representation of complex numbers | PDF Document | (0.095Mb)

10(c) Multiplication and division in polar form | PDF Document | (0.115Mb)

10(d) Powers and roots of complex numbers | PDF Document | (0.125Mb)

10(e) Exponential form of complex numbers | PDF Document | (0.119Mb)

11 Matrices

11 (Miscellaneous exercises) | PDF Document | (0.398Mb)

11 Examination Questions | PDF Document | (0.096Mb)

11(b) Applications | PDF Document | (0.046Mb)

11(c) 3 x 3 matrices | PDF Document | (0.13Mb)

11(d) Gaussian elimination | PDF Document | (0.119Mb)

11(e) Linear equations | PDF Document | (0.096Mb)

11(f) Eigenvalues and eigenvectors | PDF Document | (0.133Mb)

11(g) Diagonalization | PDF Document (0.117Mb)

12 Vectors

12 (Miscellaneous exercises)  | PDF Document | (0.135Mb)

12 Examination Questions | PDF Document | (0.077Mb)

12(a) Vector representation | PDF Document | (0.118Mb)

12(b) Vectors in Cartesian co-ordinates | PDF Document | (0.09Mb)

12(c) Three-dimensional vectors | PDF Document | (0.104Mb)

12(d) Scalar products | PDF Document | (0.107Mb)

12(e) Vector products | PDF Document | (0.103Mb)

13 First Order Differential Equations

13 (Miscellaneous exercises) | PDF Document | (0.218Mb)

13 Examination Questions | PDF Document | (0.231Mb)

13(a) Solving differential equations | PDF Document | (0.124Mb)

13(b) Using integrating factors | PDF Document | (0.154Mb)

13(c) Applications to electrical principles | PDF Document | (0.144Mb)

13(d) Further engineering applications | PDF Document | (0.155Mb)

13(e) Euler’s numerical method | PDF Document | (0.126Mb)

13(f) Improved Euler’s method | PDF Document | (0.12Mb)

13(g) Fourth order Runge-Kutta | PDF Document | (0.128Mb)

14 Second Order Linear Differential Equations

14 (Miscellaneous exercises) | PDF Document | (0.227Mb)

14 Examination Questions | PDF Document | (0.172Mb)

14(a) Homogeneous differential equations | PDF Document | (0.048Mb)

14(b) Engineering applications | PDF Document | (0.149Mb)

14(c) Non-homogeneous (inhomogeneous) differential equations | PDF Document | (0.176Mb)

14(d) Particular solutions | PDF Document | (0.604Mb)

15 Partial Differentiation

15 (Miscellaneous exercises) | PDF Document | (0.084Mb)

15 Examination Questions | PDF Document | (0.116Mb)

15(a) Partial derivatives | PDF Document | (0.128Mb)

15(b) Applications | PDF Document | (0.111Mb)

15(c) Optimization | PDF Document | (0.173Mb)

16 Probability and Statistics

16 (Miscellaneous exercises) | PDF Document | (0.184Mb)

16 Examination Questions | PDF Document | (0.415Mb)

16(a) Data representation | PDF Document | (0.087Mb)

16(b) Data summaries | PDF Document | (0.105Mb)

16(c) Probability rules | PDF Document | (0.118Mb)

16(d) Permutations and combinations | PDF Document | (0.081Mb)

16(e) Binomial distribution | (0.1Mb)

16(f) Properties of discrete random variables | (0.379Mb)

16(g) Applications of continuous random variables | PDF Document | (0.12Mb)

16(h) Normal distribution | (0.106Mb)