FM-H8152.tex 19/7/2006 18: 59 Page xvii
Syllabus guidance
This textbook is written forundergraduate engineering degree and foundation degree courses;
however, it is also most appropriate forHNC/D studiesand three syllabuses are covered.
The appropriate chapters for these three syllabuses are shown in the table below.
Chapter Analytical Further Engineering
Methods Analytical Mathematics
for Methods for
Engineers Engineers- Algebra ×
- Inequalities
- Partial fractions ×
- Logarithms and exponential functions ×
- Hyperbolic functions ×
- Arithmetic and geometric progressions ×
- The binomial series ×
- Maclaurin’s series ×
- Solving equations by iterative methods ×
- Computer numbering systems ×
- Boolean algebra and logic circuits ×
- Introduction to trigonometry ×
- Cartesian and polar co-ordinates ×
- The circle and its properties ×
- Trigonometric waveforms ×
- Trigonometric identities and equations ×
- The relationship between trigonometric and hyperbolic functions ×
- Compound angles ×
- Functions and their curves ×
- Irregular areas, volumes and mean value of waveforms ×
- Vectors, phasors and the combination of waveforms ×
- Scalar and vector products ×
- Complex numbers ×
- De Moivre’s theorem ×
- The theory of matrices and determinants ×
- The solution of simultaneous equations by matrices ×
and determinants - Methods of differentiation ×
- Some applications of differentiation ×
- Differentiation of parametric equations
- Differentiation of implicit functions ×
- Logarithmic differentiation ×
- Differentiation of hyperbolic functions ×
- Differentiation of inverse trigonometric and hyperbolic functions ×
- Partial differentiation ×
(Continued)