Fundamental engineering mathematics: 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. Addresses mathematical topics using SONG - a combination of Symbolic, Oral, Numerical and Graphical approachesHelps to develop key skills, communication both written and oral, the use of information technology, problem solving and mathematical modellingEncourages students to take responsibility for their own learning by emphasizing the use of self-assessment.

Cover; ABOUT THE AUTHORS; FUNDAMENTAL ENGINEERING MATHEMATICS: A Student-Friendly Workbook; Copyright; TABLE OF CONTENTS; Chapter 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!; Chapter 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 EQUATIONS2.6 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!; Chapter 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 WHER…