Understanding Engineering Mathematics

* Unique interactive style enables students to diagnose their strengths and weaknesses and focus their efforts where needed* Ideal for self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills * Free website includes solutions to all exercises, additional topics and applications, guide to learning mathematics, and practice materialStudents today enter engineering courses with a wide range of mathematical skills, due to the many different pre-university qualifications studied. Bill Cox's aim is for students to gain a thorough understanding of the maths they are studying, by first strengthening their background in the essentials of each topic. His approach allows a unique self-paced study style, in which students Review their strengths and weaknesses through self-administered diagnostic tests, then focus on Revision where they need it, to finally Reinforce the skills required. The book is structured around a highly successful 'transition' maths course at Aston University which has demonstrated a clear improvement in students' achievement in mathematics, and has been commended by QAA Subject Review and engineering accreditation reports. A core undergraduate text with a unique interactive style that enables students to diagnose their strengths and weaknesses and focus their efforts where neededIdeal for self-paced self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills Lots of targeted examples and exercises * Unique interactive style enables students to diagnose their strengths and weaknesses and focus their efforts where needed
* Ideal for self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills
* Free website includes solutions to all exercises, additional topics and applications, guide to learning mathematics, and practice material

Students today enter engineering courses with a wide range of mathematical skills, due to the many different pre-university qualifications studied. Bill Cox's aim is for students to gain a thorough understanding of the maths they are studying, by first strengthening their background in the essentials of each topic. His approach allows a unique self-paced study style, in which students Review their strengths and weaknesses through self-administered diagnostic tests, then focus on Revision where they need it, to finally Reinforce the skills required.



The book is structured around a highly successful 'transition' maths course at Aston University which has demonstrated a clear improvement in students' achievement in mathematics, and has been commended by QAA Subject Review and engineering accreditation reports.


A core undergraduate text with a unique interactive style that enables students to diagnose their strengths and weaknesses and focus their efforts where needed
Ideal for self-paced self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills
Lots of targeted examples and exercises
Due to the many different pre-university qualifications studied students now enter engineering courses with a wide range of mathematical skills. Bill Cox's concern is that students should gain a thorough understanding of the maths they are studying, by first strengthening their background in the essentials of each topic. His approach allows a unique self-paced study style, in which students Review their strengths and weaknesses through self-administered diagnostic tests, then focus on Revision where they need it, and finally Reinforce the skills they need.The structure of this book is based round a highly successful 'transition' maths course at Aston University which has demonstrated a clear improvement in students' achievement in mathematics, and has been commended by QAA Subject Review and engineering accreditation reports.The coverage of the book embraces all of a typical first year maths module, making it ideal for core text adoption. Additional topics, including numerical methods and statistics units, are available free from this book's associated website. The website also includes full worked solutions to all exercises. Contents ......Page 5 Preface ......Page 9 To the Student ......Page 11 1: Number and Arithmetic......Page 13 2: Algebra......Page 49 3: Functions and Series......Page 99 4: Exponential and Logarithm Functions ......Page 130 5: Geometry of Lines, Triangles and Circles ......Page 154 6: Trigonometry ......Page 182 7: Coordinate Geometry ......Page 215 8: Techniques of Differentiation ......Page 239 9: Techniques of Integration ......Page 262 10: Applications of Differentiation and Integration ......Page 302 11: Vectors ......Page 329 12: Complex Numbers ......Page 363 13: Matrices and Determinants ......Page 389 14: Analysis for Engineers - Limits, Sequences, Iteration, Series and All That ......Page 421 15: Ordinary Differential Equations ......Page 457 16: Functions of More than One Variable - Partial Differentiation ......Page 495 17: An Appreciation of Transform Methods ......Page 512 Index ......Page 541 Students today enter engineering courses with a wide range of mathematical skills, due to the many different pre-university qualifications studied. Bill Cox's aim is for students to gain a thorough understanding of the maths they are studying, by first strengthening their background in the essentials of each topic. His approach allows a unique self-paced study style, in which students Review their strengths and weaknesses through self-administered diagnostic tests, then focus on Revision where they need it, to finally Reinforce the skills required. Understanding Engineering Mathematics is structured around a highly successful 'transition' maths course at Aston University which has demonstrated a clear improvement in students' achievement in mathematics, and has been commended by QAA Subject Review and engineering accreditation reports.