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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...

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Bibliographic Details
Main Authors: Challis, Neil.
Corporate Authors: Elsevier Science & Technology.
Group Author: Gretton, Harry.
Published: Horwood Pub.,
Publisher Address: Chichester, UK :
Publication Dates: 2008.
Literature type: eBook
Language: English
Subjects:
Engineering mathematics > Problems, exercises, etc.
TECHNOLOGY & ENGINEERING > Engineering (General)
TECHNOLOGY & ENGINEERING > Reference.
Engineering mathematics.
Electronic books.
Problems and exercises.
Online Access: http://www.sciencedirect.com/science/book/9781898563655
Summary: 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.
Carrier Form: 1 online resource (278 pages) : illustrations
ISBN: 9780857099396
0857099396
Index Number: TA333
CLC: TB11
Contents: 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 WHERE NEXT WITH POLYNOMIALS?END OF CHAPTER 3 ACTIVITY -- DO THIS NOW!; Chapter 4 Other Essential Functions; 4.1 ESSENTIAL ENGINEERING FUNCTIONS; 4.2 THE BASICS OF EXPONENTIALS AND LOGARITHMS; 4.3 HOW THE EXPONENTIAL FUNCTION BEHAVES; 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!; Chapter 5 Combining and Applying Mathematical Tools; 5.1 USING YOUR TOOLBOX; 5.2 THE MOST BASIC FUNCTION -- THE STRAIGHT LINE; 5.3 TRANSFORMATIONS OF GRAPHS; 5.4 DECAYING OSCILLATIONS.
5.5 A FOGGY FUNCTION5.6 HEAT LOSS IN BUILDINGS -- A MATHEMATICAL MODEL; Chapter 6 Complex Numbers; 6.1 THE NEED FOR COMPLEX NUMBERS; 6.2 THE j NOTATION AND COMPLEX NUMBERS; 6.3 ARITHMETIC WITH COMPLEX NUMBERS; 6.4 GEOMETRY WITH COMPLEX NUMBERS: THE ARGAND DIAGRAM; 6.5 CARTESIAN AND POLAR FORM, MODULUS AND ARGUMENT.; 6.6 EULER'S RELATIONSHIP AND EXPONENTIAL FORM; 6.7 SOME USES OF POLAR AND EXPONENTIAL FORM; 6.8 COMPLEX ALGEBRA; 6.9 ROOTS OF COMPLEX NUMBERS; 6.10 MINI CASE STUDY; END OF CHAPTER 6 -- MIXED EXERCISES -- DO ALL THESE NOW!; Chapter 7 Differential Calculus 1.
7.1 THE NEED FOR DIFFERENTIAL CALCULUS7.2 DIFFERENTIAL CALCULUS IN USE; 7.3 WHAT DIFFERENTIATION MEANS GRAPHICALLY; 7.4 VARIOUS WAYS OF FINDING DERIVATIVES; 7.5 NUMERICAL DIFFERENTIAION; 7.6 PAPER AND PENCIL APPROACHES TO DIFFERENTIATION; 7.7 COMPUTER ALGEBRA SYSTEMS OR SYMBOL MANIPULATORS; Chapter 8 Differential Calculus 2; 8.1 DIFFERENTIAL CALCULUS: TAKING THE IDEAS FURTHER; 8.2 SOLVING THE EXAMPLES FROM CHAPTER 7; 8.3 HIGHER ORDER DERIVATIVES AND THEIR MEANING; 8.4 FINDING MAXIMUM AND MINIMUM POINTS; 8.5 PARAMETRIC DIFFERENTIATION; 8.6 IMPLICIT DIFFERENTIAnON; 8.7 PARTIAL DIFFERENTIATION.

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