Understanding Engineering Mathematics

(やまだぃちぅ) #1

Index


Absoluteconvergence 433
Acute angles 149
Addition of integrals 257
Addition of matrices 383
Adjoint matrix 393
Algebra 40
Algebra of complex numbers 353
Algebraic division 60
Algebraic equation 40
Algebraic expression 40
Alternate angles 149
Alternating series 431
Amplitude 182
Analytical geometry 205
Angle 148
Angle between two lines 327
Angle bisector theorem 153
Anti-derivative 253
Arc of a circle 156
Area under a curve 305
Argand plane 355
Argument 90
Argument of a complex number 355
Arithmetic series 104
Associative rule 41
Asymptotes 300
Auxiliary equation 464
Axioms 147


Base 18, 122
Base of natural logarithms 124
Basis vectors 328
Binomial 43, 72
Binomial theorem 72
BODMAS 11
Boundary conditions 449


Calculators 2
Cartesian coordinate system 91, 205
Centre of mass 312
Centroid 312


Chain rule 235
Chaos 442
Choosing integration methods 276
Chord 157
Closed interval 98
Coefficients 43
Cofactor 388
Complementary angles 149, 177
Common ratio 103
Commutative rule 41
Comparison test 430
Complementary function 462
Completing the square 66, 265
Complex number 353
Complex root 44
Components of a vector 328
Composition of functions 97
Compound angle formulae 187
Congruent triangles 152
Constant of integration 254
Constant 40
Continuity 418
Convergence 426, 428
Coordinate geometry 205
Coordinates 91, 205
Corresponding angles 149
Cosec 175
Cosine 175
Cosine rule 179
Cotangent 175
Cramer’s rule 391
Curve sketching 299
Cyclic quadrilateral 159

D’Alembert’s ratio test 432
De Moivre’s theorem 362, 365
Definite integral 278
Degree of polynomial 43
Degrees 148
Denominator 12, 55
Dependent variable 90
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