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# Fundamental Engineering Mathematics

## 1st Edition

**A Student-Friendly Workbook**

**A Student-Friendly Workbook**

This student friendly workbook addresses mathematical topics using SONG - a combination of Symbolic, Oral, Numerical and Graphical approaches. The text helps to develop key skills, communication both written and oral, the use of information technology, problem solving and mathematical modelling. The overall structure aims to help students take responsibility for their own learning, by emphasizing the use of self-assessment, thereby enabling them to become critical, reflective and continuing learners – an essential skill in this fast-changing world.

The material in this book has been successfully used by the authors over many years of teaching the subject at Sheffield Hallam University. Their SONG approach is somewhat broader than the traditionally symbolic based approach and readers will find it more in the same vein as the Calculus Reform movement in the USA.

The material in this book has been successfully used by the authors over many years of teaching the subject at Sheffield Hallam University. Their SONG approach is somewhat broader than the traditionally symbolic based approach and readers will find it more in the same vein as the Calculus Reform movement in the USA.

- Addresses mathematical topics using SONG - a combination of Symbolic, Oral, Numerical and Graphical approaches
- Helps to develop key skills, communication both written and oral, the use of information technology, problem solving and mathematical modelling
- Encourages students to take responsibility for their own learning by emphasizing the use of self-assessment

University students

- About the Authors
- Foreword
- 1: Numbers, Graphics and Algebra
- 1.1 NUMBERS, GRAPHICS AND ALGEBRA
- 1.2 WHAT NUMBERS ARE
- 1.3 HOW NUMBERS (AND LETTERS) BEHAVE
- 1.4 FRACTIONS, DECIMALS AND SCIENTIFIC NOTATION
- 1.5 POWERS OR INDICES
- 1.6 ANGLE AND LENGTH - GEOMETRY AND TRIGONOMETRY
- END OF CHAPTER 1 - CALCULATOR ACTIVITIES – DO THESE NOW!

- 2: Linking Algebra and Graphics 1
- 2.1 ALGEBRA AND PICTURES
- 2.2 NUMBERS, LETTERS AND BRACKETS
- 2.3 “SPEAKING” ALGEBRA
- 2.4 ALGEBRAIC FRACTIONS
- 2.5 SOLVING SIMPLE EQUATIONS
- 2.6 CONNECTING STRAIGHT LINES AND LINEAR EXPRESSIONS
- 2.7 SOLVING LINEAR EQUATIONS GRAPHICALLY
- 2.8 TRANSPOSING FORMULAE
- 2.9 STRAIGHT LINES IN ENGINEERING
- 2.10 STRATEGIES FOR HANDLING LINEAR EQUATIONS AND GRAPHS
- END OF CHAPTER 2 - MIXED ACTIVITIES – DO THESE NOW!

- 3: Linking Algebra and Graphics 2
- 3.1 MORE ON CONNECTING ALGEBRA TO GRAPHS
- 3.2 QUADRATIC FUNCTIONS
- 3.3 SOLVING QUADRATIC EQUATIONS
- 3.4 AN ALGEBRAIC TRICK - COMPLETING THE SQUARE
- 3.5 A DIVERSION - MATCH THE GRAPHS WITH THE FUNCTIONS
- 3.6 STRATEGIES FOR HANDLING QUADRATIC FUNCTIONS
- 3.7 WHERE NEXT WITH POLYNOMIALS?
- END OF CHAPTER 3 ACTIVITY - DO THIS NOW!

- 4: Other Essential Functions
- 4.1 ESSENTIAL ENGINEERING FUNCTIONS
- 4.2 THE BASICS OF EXPONENTIALS AND LOGARITHMS
- 4.3 HOW THE EXPONENTIAL FUNCTION BERAYES
- 4.4 HOW THE LOGARITHM FUNCTION BEHAVES
- 4.5 THE BASICS OF TRIGONOMETRIC FUNCTIONS
- 4.6 INVERSE FUNCTIONS AND TRIGONOMETRIC EQUATIONS
- END OF CHAPTER 4 - MIXED ACTIVITIES!

- 5: Combining and Applying Mathematical Tools
- 5.1 USING YOUR TO

- No. of pages:
- 288

- Language:
- English

- Copyright:
- © 2008

- Published:
- 1st January 2008

- Imprint:
- Woodhead Publishing

- eBook ISBN:
- 9780857099396

- Print ISBN:
- 9781898563655

Sheffield Hallam University, UK