Index
Derivative 231
Derivative of a vector 340
Determinant 388
Difference 10
Differential coefficient 231
Differential equation 246, 446
Differentiation 231
Differentiation from first principles 230
Direction cosine 325
Direction ratio 326
Discontinuity 414, 419
Discriminant 66
Distance between two points 208, 324
Distributive rule 41, 45
Divergence 426, 428
Division of a line 147
Domain 90
Dot product 334
Double angle formulae 188
Dummy index 102
Eigenvalue equation 398
Eigenvalue 398
Eigenvector 398
Electrical circuits 13, 31, 247, 371, 403
Equation 52
Equation of a circle 217
Equation of a line 212
Equilateral triangle 150
Equivalent fractions 12
Estimation 25
Euler’s formula 361, 464
Even function 94
Exponent 24
Exponential form of a complex number 361
Exponential function 122, 126
Expression 52
Exterior angle 151
Factor 8, 45, 52
Factor theorem 52
Factorial 16
Factorising 8, 45
First order equations 452
First shift theorem 509
Forced damped oscillations 477
Forcing functions 469
Formulae 93
Fourier coefficients 520
Fourier expansion 517
Fourier series 285, 515
Fraction 6, 12
Function 90
Function of a function 97
Function of a function rule 235
Function of two variables 484
Fundamental component 518
Fundamental theorem of algebra 44General solution 449, 463
Geometric progression 103
Gradient of a curve 230, 292
Gradient of a line 210
Graph 91Half angle formulae 188
Heron’s formula 178
Higher order derivatives 241
Higher order partial derivatives 489
Highest common factor (HCF) 9
Homogeneous equations 49
Homogeneous first order equation 456
Homgeneous system 397
Hyperbolic functions 138Ideal gas law 94
Identity 50
Image 90
Imaginary axis 355
Imaginary number 19
Imaginary part 353
Implicit differentiation 238, 494
Implicit function 91
Improper fraction 12
Improper integral 279
Incompatible equations 49
Indefinite integral 253
Independent variable 90
Indeterminate form 412
Index 18, 70
Index of summation 102
Inequality 7, 97
Infinite arithmetic series 429
Infinite binomial series 106
Infinite geometric series 428
Infinite powers series 106, 423, 434
Infinite sequence 424
Infinite series 423, 428
Infinity 6
Inhomogeneous equation 462, 468
Initial conditions 449
Initial value problems 513
Integers 5
Integral transform 503
Integrand 253
Integrating factor 458