* 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
Author(s): Bill Cox
Edition: 1st
Publisher: Butterworth-Heinemann
Year: 2001
Language: English
Pages: 546
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