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Part I Foundation topics 1 F.1 Arithmetic 3 F.2 Introduction to algebra 73 F.3 Expressions and equations 119 F.4 Graphs 149 F.5 Linear equations and simultaneous linear equations 185 F.6 Polynomial equations 205 F.7 Partial fractions 227 F.8 Trigonometry 249 F.9 Binomial series 277 F.10 Functions 307 F.11 Differentiation 359 F.12 Integration 401 Part II 435 1 Complex numbers 1 437 2 Complex numbers 2 467 3 Hyperbolic functions 495 4 Determinants 521 5 Matrices 555 6 Vectors 591 7 Differentiation 619 8 Differentiation applications 1 639 9 Differentiation applications 2 663 10 Partial differentiation 1 687 11 Partial differentiation 2 711 12 Curves and curve fitting 729 13 Series 1 767 14 Series 2 795 15 Integration 1 823 16 Integration 2 853 17 Reduction formulas 885 18 Integration applications 1 901 19 Integration applications 2 921 20 Integration applications 3 947 21 Approximate integration 981 22 Polar coordinates systems 1001 23 Multiple integrals 1025 24 First-order differential equations 1051 25 Second-order differential equations 1091 26 Introduction to Laplace transforms 1117 27 Statistics 1139 28 Probability 1175