Welcome to the Companion Website for Engineering Mathematics Through Applications by Kuldeep Singh
Fully Worked Solutions from the 1st Edition
The fully worked solutions from the 1st edition for all the exercises in Engineering Mathematics through Applications are available to download onto your PC. Simply right click the links and 'save as' to your harddrive.
INTRODUCTION Arithmetic for Engineers
- Intro(a) : Whole numbers
- Intro(b) : Indices
- Intro(c ): Numbers
- Intro(d) : Fractions
- Intro(e ): Arithmetic of fractions
- Intro(f) : Decimals
- Intro(g): Powers of 10
- Intro(h): Conversion
- Intro(i): Arithmetical operations
- Intro(j): Percentages
- Intro(k) : Ratios
- Intro (Miscellaneous exercises)
- 1(a) Substitution and transposition
- 1(b) Transposing engineering formulae
- 1(c) Indices
- 1(d) Dimensional Analysis
- 1(e) Expansion of brackets
- 1(f) Factorization
- 1(g) Quadratic equations
- 1(h) Simultaneous equations
- 1 (Miscellaneous exercises)
- 2(a) Graphs
- 2(b) Applications of graphs
- 2 (c) Quadratic graphs
- 2(d) Quadratics revisited
- 2(e) Further graphs
- 2(f) Binomial expansion
- 2 (Miscellaneous exercises)
- 3(a) Concepts of functions
- 3(b) Inverse Functions
- 3(c) Graphs of functions
- 3(d) Combinations of functions
- 3(e) Limits of functions
- 3(f) Modulus function
- 3 (Miscellaneous exercises)
- 4(a) Trigonometric functions
- 4(b) Angles and graphs
- 4(c) Trigonometric equations
- 4(d) Trigonometric rules
- 4(e) Radians
- 4(f) Wave theory
- 4(g) Trigonometric identities
- 4(h) Applications of identities
- 4(I) Conversion
- 4 (Miscellaneous exercises)
- 5(a) Indices revisited
- 5(b) The exponential function
- 5(c) The logarithmic function
- 5(d) Applications of logarithms
- 5(e) Hyperbolic functions
- 5 (Miscellaneous exercises)
- 6(a) The derivative
- 6(b) Derivatives of functions
- 6(c) Chain rule revisited
- 6(d) Product and quotient rules
- 6(e) Higher derivatives
- 6(f) Parametric differentiation
- 6(g) Implicit and logarithmic differentiation
- 6 (Miscellaneous exercises)
- 7(a) Curve sketching
- 7(b) Optimization problems
- 7(c) First derivative test
- 7(d) Applications to kinematics
- 7(e) Tangents and normals
- 7(f) Series expansion
- 7(g) Binomial revisited
- 7(h) Numerical solution of equations
- 7 (Miscellaneous exercises)
- 7 Maple solutions to chapter 7
- 8(a) Integrals
- 8(b) Integration by substitution
- 8(c) Definite integrals
- 8(d) Integration by parts
- 8(e) Algebraic fractions
- 8(f) Integration of algebraic fractions
- 8(g) Integration by substitution revisited
- 8(h) Trigonometric techniques for integration
- 8 (Miscellaneous exercises)
- 8 Maple solutions to chapter 8
- 9(a) Trapezium rule
- 9(b) Further numerical integration
- 9(c) Engineering applications
- 9(d) Applications in mechanics
- 9(e) Miscellaneous applications of integration
- 9 (Miscellaneous exercises)
- 10(a) Arithmetic of complex numbers
- 10(b) Representation of complex numbers
- 10(c) Multiplication and division in polar form
- 10(d) Powers and roots of complex numbers
- 10(e) Exponential form of complex numbers
- 10 (Miscellaneous exercises)
- 11(a) Manipulation of matrices
- 11(b) Applications
- 11(c) 3 x 3 matrices
- 11(d) Gaussian elimination
- 11(e) Linear equations
- 11(f) Eigenvalues and eigenvectors
- 11(g) Applications in heat transfer
- 11 (Miscellaneous exercises)
- 12(a) Vector representation
- 12(b) Vectors in Cartesian co-ordinates
- 12(c) Three-dimensional vectors
- 12(d) Scalar products
- 12(e) Vector products
- 12 (Miscellaneous exercises)
- 13(a) Solving differential equations
- 13(b) Using integrating factors
- 13(c) Applications to electrical principles
- 13(d) Further engineering applications
- 13(e) Euler’s numerical method
- 13(f) Improved Euler’s method
- 13(g) Fourth order Runge-Kutta
- 13 (Miscellaneous exercises)
