Engineering Mathematics covers a wide range of syllabus requirements suitable for the latest National Certificate and Diploma courses and Vocational Certificate of Education syllabuses in Engineering. It provides a foundation inmathematical principles for studentsto solve mathematical, scientific and associated engineering principles and engineering applications and mathematical principles necessary for advancement into a range of Incorporated Engineer degree profiles. Th book introduced a theory in each chapter by a simple outline of essential definitions, formulae, laws and procedures and it is kept to a minimum, for problem solving to establish and exemplify the theory. The intention is to let the readers gain real understanding through seeing problems solved and then through solving similar problems themselves. It is divided into ten topic areas and these are: number and algebra, mensuration, trigonometry, graphs, vectors, complex numbers, statistics, differential calculus, integral calculus and further number and algebra. See the following syllabuses that this book covers:
(i) Mathematics for Technicians, the core unit for National Certificate/Diploma courses in Engineering, to include all or part of the following chapters:
1. Algebra: 2, 4, 5, 8–13, 17, 19, 27, 30
2. Trigonometry: 18, 21, 22, 24
3. Statistics: 36, 37
4. Calculus: 44, 46, 47, 54
(ii) Further Mathematics for Technicians, the optional unit for National Certificate/Diploma courses in Engineering, to include all or part of the following chapters:
1. Algebraic techniques: 10, 14, 15,
28–30, 34, 59–61
2. Trigonometry: 22–24, 26
3. Calculus: 44–49, 52–58
4. Statistical and probability: 36–43
(iii) Applied Mathematics in Engineering, the compulsory unit for Advanced VCE (formerly Advanced GNVQ), to include all or part of the following chapters:
1. Number and units: 1, 2, 4
2. Mensuration: 17–20
3. Algebra: 5, 8–11
4. Functions and graphs: 22, 23, 27
5. Trigonometry: 21, 24
(iv) Further Mathematics for Engineering, the optional unit for Advanced VCE (formerly Advanced GNVQ), to include all or part of the following chapters:
1. Algebra and trigonometry: 5, 6,
12–15, 21, 25
2. Graphical and numerical techniques:
20, 22, 26–31
3. Differential and integral calculus:
44–47, 54
(v) The Mathematics content of Applied Science and Mathematics for Engineering, for Intermediate GNVQ
(vi) Mathematics for Engineering, for Foundation and Intermediate GNVQ
(vii) Mathematics 2 and Mathematics 3 for City & Guilds Technician Diploma in Telecommunications and Electronic Engineering
This textbook contains over 900 worked problems, followed by some 1700 further problems (all with answers). The further problems are contained within some 208 Exercises; each Exercise follows on directly from the relevant section of work, every two or three pages. In addition, the text contains 234 multiple-choice questions. Where at all possible, the problems mirror practical situations found in engineering and science. 500 line diagrams enhance the understanding of the theory.
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