Introductory Mathematics for the Life Sciences
Chapter by chapter, this text offers a comprehensive explanation of the key mathematical principles used when studying life sciences. Each chapter explains basic to progressively more complex maths, with working examples throughout.
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| Format: | eBook |
| Language: | English |
| Language Notes: | English. |
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Milton :
Chapman and Hall/CRC,
2018.
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| Series: | Modules in life sciences.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Cover; Half Title; Title Page; Copyright Page; Table of Contents; General Preface to the Series; Preface; 1: Numbers; 1.1 Introduction; 1.2 Real numbers; 1.3 Modulus; 1.4 Functions with multiple operations; 1.5 Commutative and associative laws of addition and multiplication; Summary; End of unit questions; 2: Fractions, Percentages and Ratios; 2.1 Introduction; 2.2 Fractions-rational and irrational numbers; 2.3 Factorisation and equivalent fractions; 2.4 Addition and subtraction of fractions; 2.5 Multiplication of fractions; 2.6 Division of fractions; 2.7 Percentages; 2.8 Ratios; Summary
- End of unit questions3: Basic Algebra and Measurement; 3.1 Introduction; 3.2 Measurement; 3.3 Algebraic notation; 3.3.1 Addition; 3.3.2 Subtraction; 3.3.3 Multiplication; 3.3.4 Division; 3.3.5 Brackets; 3.4 Substitution; 3.5 Factorising simple formulae; 3.6 Algebraic fractions; 3.6.1 Multiplication and division of algebraic fractions; 3.6.2 Addition and subtraction of algebraic fractions; 3.7 Transposing formulae; 3.8 Inequalities; 3.8.1 Intervals; 3.9 Applications in biological science; 3.9.1 Equilibrium constants-an example of algebraic fraction; Summary; End of unit questions
- 4: Powers and Scientific Notation4.1 Introduction; 4.2 Powers; 4.3 Multiplication and division using powers; 4.4 Powers of powers; 4.5 Fractional indices; 4.6 Indices and biology; Summary; End of unit questions; 5: Concentration and Accuracy; 5.1 Introduction; 5.2 Concentration, volume and amount; 5.2.1 Percentage weight/volume; 5.2.2 Percentage volume/volume; 5.2.3 Percentage weight/weight; 5.2.4 Moles and molarity; 5.3 Accuracy: significant figures and decimal places; 5.3.1 Significant figures; 5.3.2 Decimal places; 5.3.3 Accuracy; Summary; End of unit questions
- 6: Tables, Charts and Graphs6.1 Introduction; 6.2 Raw data and frequency tables; 6.2.1 Table preparation; 6.2.2 Frequency tables; 6.3 Charts, diagrams and plots; 6.3.1 Pictograms; 6.3.2 Pie charts; 6.3.3 Bar charts; 6.3.4 Dot plots; 6.3.5 Histograms; 6.3.6 Scatter graphs; 6.4 Plots linking three variables; 6.4.1 Three-dimensional plots; 6.4.2 Triangular charts; 6.4.3 Nomograms; Summary; End of unit questions; 7: Linear Functions; 7.1 Introduction; 7.2 Functions; 7.2.1 Inverse functions; 7.2.2 Monotone functions; 7.3 Special linear equations; 7.4 General linear equations
- 7.4.1 Determining the equation of a straight line7.5 Solving linear equations; 7.6 Biological applications; 7.6.1 The Beer-Lambert law-an example of a special linear equation; 7.6.2 The Lineweaver-Burk plot; Summary; End of unit questions; 8: Power Functions; 8.1 Introduction; 8.2 Power functions; 8.3 Polynomials; 8.4 Solving quadratic equations; 8.4.1 Solving by factorisation; 8.4.2 Solving by using a formula; 8.5 Applications in life sciences; 8.5.1 Quadratics as a tool to calculate pH; 8.5.2 Quadratic equations and rates; Summary; End of unit questions; 9: Exponential Functions