{"product_id":"jacaranda-maths-quest-12-specialist-mathematics-vce-units-3-and-4-2e-learnon-and-print","title":"Jacaranda Maths Quest 12 Specialist Mathematics VCE Units 3 and 4 2e learnON and Print","description":"\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Logic and proof 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Logic 3\u003c\/p\u003e \u003cp\u003e1.3 Direct proofs 13\u003c\/p\u003e \u003cp\u003e1.4 Indirect proofs 20\u003c\/p\u003e \u003cp\u003e1.5 Proof by mathematical induction 27\u003c\/p\u003e \u003cp\u003e1.6 Review 40\u003c\/p\u003e \u003cp\u003eAnswers 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Complex numbers 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 46\u003c\/p\u003e \u003cp\u003e2.2 Complex numbers in Cartesian form 47\u003c\/p\u003e \u003cp\u003e2.3 Complex numbers in polar form 59\u003c\/p\u003e \u003cp\u003e2.4 Solving polynomial equations over C 75\u003c\/p\u003e \u003cp\u003e2.5 Subsets of the complex plane 84\u003c\/p\u003e \u003cp\u003e2.6 Roots of complex numbers 96\u003c\/p\u003e \u003cp\u003e2.7 Review 105\u003c\/p\u003e \u003cp\u003eAnswers 112\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Vectors 125\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 126\u003c\/p\u003e \u003cp\u003e3.2 Vectors in two dimensions 127\u003c\/p\u003e \u003cp\u003e3.3 Vectors in three dimensions 135\u003c\/p\u003e \u003cp\u003e3.4 Scalar product and applications 149\u003c\/p\u003e \u003cp\u003e3.5 Vector proofs using the scalar product 161\u003c\/p\u003e \u003cp\u003e3.6 Parametric equations 165\u003c\/p\u003e \u003cp\u003e3.7 Review 172\u003c\/p\u003e \u003cp\u003eAnswers 176\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Vector equations of lines and planes 185\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 186\u003c\/p\u003e \u003cp\u003e4.2 Vector cross product 187\u003c\/p\u003e \u003cp\u003e4.3 Lines in three dimensions 195\u003c\/p\u003e \u003cp\u003e4.4 Planes 207\u003c\/p\u003e \u003cp\u003e4.5 Review 222\u003c\/p\u003e \u003cp\u003eAnswers 227\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Differential calculus 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 232\u003c\/p\u003e \u003cp\u003e5.2 Review of differentiation techniques 233\u003c\/p\u003e \u003cp\u003e5.3 Applications of differentiation 245\u003c\/p\u003e \u003cp\u003e5.4 Implicit and parametric differentiation 256\u003c\/p\u003e \u003cp\u003e5.5 Second derivatives 265\u003c\/p\u003e \u003cp\u003e5.6 Derivatives of inverse trigonometric functions 274\u003c\/p\u003e \u003cp\u003e5.7 Related rates 282\u003c\/p\u003e \u003cp\u003e5.8 Review 292\u003c\/p\u003e \u003cp\u003eAnswers 297\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Functions and graphs 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 304\u003c\/p\u003e \u003cp\u003e6.2 Sketching graphs of cubics and quartics 305\u003c\/p\u003e \u003cp\u003e6.3 Sketching graphs of rational functions 314\u003c\/p\u003e \u003cp\u003e6.4 Sketching graphs of product and quotient functions 328\u003c\/p\u003e \u003cp\u003e6.5 Review 342\u003c\/p\u003e \u003cp\u003eAnswers 348\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Integral calculus 363\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 364\u003c\/p\u003e \u003cp\u003e7.2 Areas under and between curves 365\u003c\/p\u003e \u003cp\u003e7.3 Linear substitutions 378\u003c\/p\u003e \u003cp\u003e7.4 Non-linear substitutions 390\u003c\/p\u003e \u003cp\u003e7.5 Integrals of powers of trigonometric functions 400\u003c\/p\u003e \u003cp\u003e7.6 Integrals involving inverse trigonometric functions 408\u003c\/p\u003e \u003cp\u003e7.7 Integrals involving partial fractions 421\u003c\/p\u003e \u003cp\u003e7.8 Review 432\u003c\/p\u003e \u003cp\u003eAnswers 437\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Differential equations 447\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 448\u003c\/p\u003e \u003cp\u003e8.2 Verifying solutions to differential equations 449\u003c\/p\u003e \u003cp\u003e8.3 Solving Type 1 differential equations,\u003cbr\u003edy\/dx = f(x) 455\u003c\/p\u003e \u003cp\u003e8.4 Solving Type 2 differential equations,\u003cbr\u003edy\/dx = f(y) 465\u003c\/p\u003e \u003cp\u003e8.5 Solving Type 3 differential equations,\u003cbr\u003edy\/dx = f(x) g(y) 473\u003c\/p\u003e \u003cp\u003e8.6 Solving Type 4 differential equations,\u003cbr\u003ed2y\/dx2 = f(x) 479\u003c\/p\u003e \u003cp\u003e8.7 Review 488\u003c\/p\u003e \u003cp\u003eAnswers 491\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Further integration techniques and applications 495\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 496\u003c\/p\u003e \u003cp\u003e9.2 Integration by parts 497\u003c\/p\u003e \u003cp\u003e9.3 Integration by recognition and graphs of anti-derivatives 509\u003c\/p\u003e \u003cp\u003e9.4 Solids of revolution 516\u003c\/p\u003e \u003cp\u003e9.5 Volumes 526\u003c\/p\u003e \u003cp\u003e9.6 Arc length and surface area 538\u003c\/p\u003e \u003cp\u003e9.7 Water flow 547\u003c\/p\u003e \u003cp\u003e9.8 Review 558\u003c\/p\u003e \u003cp\u003eAnswers 563\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Applications of first-order differential equations 569\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 570\u003c\/p\u003e \u003cp\u003e10.2 Growth and decay 571\u003c\/p\u003e \u003cp\u003e10.3 Other applications of first-order differential equations 579\u003c\/p\u003e \u003cp\u003e10.4 Bounded growth and Newton’s law of cooling 586\u003c\/p\u003e \u003cp\u003e10.5 Chemical reactions and dilution problems 593\u003c\/p\u003e \u003cp\u003e10.6 The logistic equation 605\u003c\/p\u003e \u003cp\u003e10.7 Euler’s method 616\u003c\/p\u003e \u003cp\u003e10.8 Slope fields 626\u003c\/p\u003e \u003cp\u003e10.9 Review 640\u003c\/p\u003e \u003cp\u003eAnswers 646\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Kinematics: rectilinear motion 655\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 656\u003c\/p\u003e \u003cp\u003e11.2 Differentiating position and velocity 657\u003c\/p\u003e \u003cp\u003e11.3 Constant acceleration 663\u003c\/p\u003e \u003cp\u003e11.4 Velocity–time graphs 671\u003c\/p\u003e \u003cp\u003e11.5 Acceleration that depends on time 684\u003c\/p\u003e \u003cp\u003e11.6 Acceleration that depends on velocity 690\u003c\/p\u003e \u003cp\u003e11.7 Acceleration that depends on position 703\u003c\/p\u003e \u003cp\u003e11.8 Review 710\u003c\/p\u003e \u003cp\u003eAnswers 715\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Vector calculus 721\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 722\u003c\/p\u003e \u003cp\u003e12.2 Position vectors as functions of time 723\u003c\/p\u003e \u003cp\u003e12.3 Differentiation of vectors 729\u003c\/p\u003e \u003cp\u003e12.4 Special parametric curves 741\u003c\/p\u003e \u003cp\u003e12.5 Integration of vectors 756\u003c\/p\u003e \u003cp\u003e12.6 Projectile motion 762\u003c\/p\u003e \u003cp\u003e12.7 Review 778\u003c\/p\u003e \u003cp\u003eAnswers 786\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Probability and statistics 795\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 796\u003c\/p\u003e \u003cp\u003e13.2 Linear combinations of random variables 797\u003c\/p\u003e \u003cp\u003e13.3 Sample means and simulations 810\u003c\/p\u003e \u003cp\u003e13.4 Confidence intervals 821\u003c\/p\u003e \u003cp\u003e13.5 Hypothesis testing 830\u003c\/p\u003e \u003cp\u003e13.6 Review 844\u003c\/p\u003e \u003cp\u003eAnswers 850\u003c\/p\u003e \u003cp\u003eGlossary 853\u003c\/p\u003e \u003cp\u003eIndex 855\u003c\/p\u003e","brand":"Raymond Rozen","offers":[{"title":"Default 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