Understanding Engineering Mathematics

Front Cover
Elsevier, Oct 19, 2001 - Technology & Engineering - 560 pages

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.

  • 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
 

Contents

Chapter 1 Number and Arithmetic
1
Chapter 2 Algebra
37
Chapter 3 Functions and Series
87
Chapter 4 Exponential and Logarithm Functions
118
Chapter 5 Geometry of Lines Triangles and Circles
142
Chapter 6 Trigonometry
170
Chapter 7 Coordinate Geometry
203
Chapter 8 Techniques of Differentiation
227
Chapter 11 Vectors
317
Chapter 12 Complex Numbers
351
Chapter 13 Matrices and Determinants
377
Chapter 14 Analysis for Engineers Limits Sequences Iteration Series and All That
409
Chapter 15 Ordinary Differential Equations
445
Chapter 16 Functions of More than One Variable Partial Differentiation
483
Chapter 17 An Appreciation of Transform Methods
500
Index
529

Chapter 9 Techniques of Integration
250
Chapter 10 Applications of Differentiation and Integration
290

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Page 43 - To prove this formula we observe that the expansion of the determinant consists of a sum of terms, each of which is a product of n elements.

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