Studying engineering, whether it is mechanical, electrical or civil relies heavily on an understanding of mathematics. This new textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them to solve real-life engineering problems.
It deliberately starts at an elementary level so that students who are starting from a low knowledge base will be able to quickly get up to the level required. Students who have not studied mathematics for some time will find this an excellent refresher.
Each chapter starts with the basics before gently increasing in complexity. A full outline of essential definitions, formulae, laws and procedures are introduced before real world situations, practicals and problem solving demonstrate how the theory is applied.
Focusing on learning through practice, it contains examples, supported by 1,600 worked problems and 3,000 further problems contained within exercises throughout the text. In addition, 34 revision tests are included at regular intervals.
An interactive companion website is also provided containing 2,750 further problems with worked solutions and instructor materials
This preface outlines the main philosophy of the course, and serves as a guide to the
instructor. It outlines reasons for the organization of the material and why this works for introducing
first year students to the major concepts and many applications of the differential
Calculus arose as an important tool in solving practical scientific problems through
the centuries. However, in many current courses, it is taught as a technical subject with
rules and formulas (and occasionally theorems), devoid of its connection to applications.
In this course, the applications form an important focal point, with a focus on life sciences.This
places the techniques and concepts into practical context, as well as motivating
quantitative approaches to biology taught to undergraduates. While many of the examples
have a biological flavour, the level of biology needed to understand those examples is kept
at a minimum. The problems are motivated with enough detail to follow the assumptions,
but are simplified for the purpose of pedagogy.
The mathematical philosophy is as follows: We start with elementary observations
about functions and graphs, with an emphasis on power functions and polynomials. This
introduces the idea of sketching of a graph from elementary properties of the function,
before calculus is discussed. It also leads to direct biological applications that illustrate the
idea of which terms in an expression (polynomial or rational function) dominate at which
range(s) of the independent variable.
Whatever your previous background in mathematics, it is likely that when you begin your
engineering studies at university you will need to consolidate your mathematical skills
before moving on to new material. The first ten chapters of this book are designed to help
with this ‘transition’ by providing you with individual pathways to quickly review your
current skills and understanding, then revise and reinforce where necessary.
Chapters 1–10 have a three-part structure by which you:
• Review your present knowledge and skills, with a review test on key
• Revise as you need to
• Reinforce the essential skills that you will need for your particular
programme, so that they are there when you need them.
Practice makes perfect—and helps deepen your understanding of calculus
1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go.
Gives you a chance to practice and reinforce the skills you learn in your calculus course
Helps you refine your understanding of calculus
Practice problems with answer explanations that detail every step of every problem
The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.
This sixth edition of ‘Higher Engineering Mathematics’
covers essential mathematical material suitable
for students studying Degrees, Foundation Degrees,
Higher National Certificate and Diploma courses in
In this edition the material has been ordered into the
following twelve convenient categories: number and
algebra, geometry and trigonometry, graphs, complex
numbers, matrices and determinants, vector geometry,
differential calculus, integral calculus, differential equations,
statistics and probability, Laplace transforms and
Fourier series. New material has been added on logarithms
and exponential functions, binary, octal and
hexadecimal, vectors and methods of adding alternating
waveforms. Another feature is that a free Internet
download is available of a sample (over 1100) of the
further problems contained in the book.