1 The Language of Mathematics. - 1. 1 Introduction. - 1. 2 Priority rules for operators. - 1. 3 The summation sign. - 1. 4 Functions. - 1. 5 Constants variables and parameters. - 1. 6 Dimensional analysis. - 1. 7 Plotting graphs. - 1. 8 Precision. - 1. 9 Problems. - 2 Exponents and Logarithms. - 2. 1 Integer powers. - 2. 2 Fractional exponents. - 2. 3 Addition and subtraction of exponents. - 2. 4 Logarithms. - 2. 5 Common logarithms. - 2. 6 Negative numbers have no logarithms. - 2. 7 Natural logarithms. - 2. 8 Logarithms to base 2. - 2. 9 Exponential decay. - 2. 10 Logarithms as a method of scaling. - 2. 11 Products of equilibrium constants. - 2. 12 Logarithms of dimensioned quantities?. - 2. 13 Redox potentials. - 2. 14 Dependence of redox potentials on pH. - 2. 15 Problems. - 3 Differential Calculus. - 3. 1 Co-ordinate geometry. - 3. 2 Slope of a curve. - 3. 3 Rapid differentiation. - 3. 4 Derivatives of sums and products. - 3. 5 Derivative of a function of a function'. - 3. 6 Derivative of a ratio. - 3. 7 Higher derivatives. - 3. 8 Notation. - 3. 9 Maxima and minima. - 3. 10 A note on terminology. - 3. 11 Points of inflexion. - 3. 12 Sketching curves. - 3. 13 Problems. - 4 Integral Calculus. - 4. 1 Increases in area. - 4. 2 Definite and indefinite integrals. - 4. 3 Simple integrals. - 4. 4 Integral of 1/x. - 4. 5 Differential equations. - 4. 6 Numerical integration: evaluating the area under a curve. - 4. 7 Problems. - 5 Solving Equations. - 5. 1 Linear equations in one unknown. - 5. 2 Rearranging equations. - 5. 3 Simultaneous linear equations. - 5. 4 Determinants. - 5. 5 Quadratic equations. - 5. 6 Graphical solution of equations. - 5. 7 Newton's method. - 5. 8 Approximate methods. - 5. 9 Problems. - 6 Partial Differentiation. - 6. 1 Meaning of a partial derivative. - 6. 2 Exact and inexact differentials. - 6. 3 Least-squares fitting of the MichaelisMenten equation. -6. 4 Problems. - Notes and Solutions to Problems. Language: English