{"product_id":"jacaranda-maths-quest-11-specialist-mathematics-vce-units-1-and-2-2e-learnon-print","title":"Jacaranda Maths Quest 11 Specialist Mathematics VCE Units 1 and 2, 2e learnON \u0026 Print","description":"\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Combinatorics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Counting techniques 3\u003c\/p\u003e \u003cp\u003e1.3 Factorials and permutations 15\u003c\/p\u003e \u003cp\u003e1.4 Permutations with restrictions 23\u003c\/p\u003e \u003cp\u003e1.5 Combinations 31\u003c\/p\u003e \u003cp\u003e1.6 Applications of permutations and combinations 40\u003c\/p\u003e \u003cp\u003e1.7 Pascal’s triangle and the pigeon-hole principle 47\u003c\/p\u003e \u003cp\u003e1.8 Review 55\u003c\/p\u003e \u003cp\u003eAnswers 58\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Sequences and series 63\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 64\u003c\/p\u003e \u003cp\u003e2.2 Describing sequences 65\u003c\/p\u003e \u003cp\u003e2.3 Arithmetic sequences 69\u003c\/p\u003e \u003cp\u003e2.4 Arithmetic series 75\u003c\/p\u003e \u003cp\u003e2.5 Geometric sequences 78\u003c\/p\u003e \u003cp\u003e2.6 Geometric series 86\u003c\/p\u003e \u003cp\u003e2.7 Applications of sequences and series 92\u003c\/p\u003e \u003cp\u003e2.8 Review 101\u003c\/p\u003e \u003cp\u003eAnswers 105\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Logic and algorithms 111\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 112\u003c\/p\u003e \u003cp\u003e3.2 Statements (propositions), connectives and truth tables 113\u003c\/p\u003e \u003cp\u003e3.3 Valid and invalid arguments 120\u003c\/p\u003e \u003cp\u003e3.4 Boolean algebra and digital logic 131\u003c\/p\u003e \u003cp\u003e3.5 Sets and Boolean algebra 139\u003c\/p\u003e \u003cp\u003e3.6 Algorithms and pseudocode 149\u003c\/p\u003e \u003cp\u003e3.7 Review 166\u003c\/p\u003e \u003cp\u003eAnswers 170\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Proof and number 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 190\u003c\/p\u003e \u003cp\u003e4.2 Number systems and mathematical statements 191\u003c\/p\u003e \u003cp\u003e4.3 Direct and indirect methods of proof 206\u003c\/p\u003e \u003cp\u003e4.4 Proofs with rational and irrational numbers 212\u003c\/p\u003e \u003cp\u003e4.5 Proof by mathematical induction 218\u003c\/p\u003e \u003cp\u003e4.6 Proof of divisibility using induction 223\u003c\/p\u003e \u003cp\u003e4.7 Review 227\u003c\/p\u003e \u003cp\u003eAnswers 230\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Matrices 233\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 234\u003c\/p\u003e \u003cp\u003e5.2 Addition, subtraction and scalar multiplication of matrices 235\u003c\/p\u003e \u003cp\u003e5.3 Matrix multiplication 243\u003c\/p\u003e \u003cp\u003e5.4 Determinants and inverses 251\u003c\/p\u003e \u003cp\u003e5.5 Matrix equations 260\u003c\/p\u003e \u003cp\u003e5.6 Review 271\u003c\/p\u003e \u003cp\u003eAnswers 275\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Graph theory 279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 280\u003c\/p\u003e \u003cp\u003e6.2 Introduction to graph theory 281\u003c\/p\u003e \u003cp\u003e6.3 Planar graphs and Euler’s formula 300\u003c\/p\u003e \u003cp\u003e6.4 Eulerian and Hamiltonian graphs 311\u003c\/p\u003e \u003cp\u003e6.5 Weighted graphs and trees 321\u003c\/p\u003e \u003cp\u003e6.6 Bipartite graphs and the Hungarian algorithm 331\u003c\/p\u003e \u003cp\u003e6.7 Review 343\u003c\/p\u003e \u003cp\u003eAnswers 353\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Trigonometric ratios and applications 367\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 368\u003c\/p\u003e \u003cp\u003e7.2 Review of trigonometry 369\u003c\/p\u003e \u003cp\u003e7.3 The sine rule 379\u003c\/p\u003e \u003cp\u003e7.4 The cosine rule 385\u003c\/p\u003e \u003cp\u003e7.5 Arc length, sectors and segments 390\u003c\/p\u003e \u003cp\u003e7.6 Review 398\u003c\/p\u003e \u003cp\u003eAnswers 402\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Trigonometric identities 405\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 406\u003c\/p\u003e \u003cp\u003e8.2 Pythagorean identities 407\u003c\/p\u003e \u003cp\u003e8.3 Compound angle formulas 416\u003c\/p\u003e \u003cp\u003e8.4 Double and half angle formulas 426\u003c\/p\u003e \u003cp\u003e8.5 Converting a \u003ci\u003ecos(x) + b sin(x) to r cos(x ± α) \u003c\/i\u003eor \u003ci\u003er sin(x ± α)\u003c\/i\u003e 435\u003c\/p\u003e \u003cp\u003e8.6 Review 441\u003c\/p\u003e \u003cp\u003eAnswers 444\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Vectors in the plane 449\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 450\u003c\/p\u003e \u003cp\u003e9.2 Vectors and scalars 451\u003c\/p\u003e \u003cp\u003e9.3 Position vectors in the plane 459\u003c\/p\u003e \u003cp\u003e9.4 Scalar multiplication of vectors 470\u003c\/p\u003e \u003cp\u003e9.5 The scalar (dot) product 475\u003c\/p\u003e \u003cp\u003e9.6 Projections of vectors—scalar and vector resolutes 483\u003c\/p\u003e \u003cp\u003e9.7 Review 489\u003c\/p\u003e \u003cp\u003eAnswers 492\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Complex numbers 497\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 498\u003c\/p\u003e \u003cp\u003e10.2 Introduction to complex numbers 499\u003c\/p\u003e \u003cp\u003e10.3 Basic operations on complex numbers 504\u003c\/p\u003e \u003cp\u003e10.4 Complex conjugates and division of complex numbers 510\u003c\/p\u003e \u003cp\u003e10.5 The complex plane (the Argand plane) 517\u003c\/p\u003e \u003cp\u003e10.6 Complex numbers in polar form 524\u003c\/p\u003e \u003cp\u003e10.7 Basic operations on complex numbers in polar form 536\u003c\/p\u003e \u003cp\u003e10.8 Solving quadratic equations with complex roots 546\u003c\/p\u003e \u003cp\u003e10.9 Lines, rays, circles, ellipses and regions in the complex plane 550\u003c\/p\u003e \u003cp\u003e10.10 Review 562\u003c\/p\u003e \u003cp\u003eAnswers 565\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Transformations 577\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 578\u003c\/p\u003e \u003cp\u003e11.2 Translations 579\u003c\/p\u003e \u003cp\u003e11.3 Reflections and rotations 588\u003c\/p\u003e \u003cp\u003e11.4 Dilations 603\u003c\/p\u003e \u003cp\u003e11.5 Combinations of transformations 610\u003c\/p\u003e \u003cp\u003e11.6 Review 619\u003c\/p\u003e \u003cp\u003eAnswers 623\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Functions, relations and graphs 627\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 628\u003c\/p\u003e \u003cp\u003e12.2 The absolute value function 629\u003c\/p\u003e \u003cp\u003e12.3 Partial fractions 636\u003c\/p\u003e \u003cp\u003e12.4 Reciprocal graphs 645\u003c\/p\u003e \u003cp\u003e12.5 The reciprocal trigonometric functions 654\u003c\/p\u003e \u003cp\u003e12.6 Inverse trigonometric functions 669\u003c\/p\u003e \u003cp\u003e12.7 Circles and ellipses 683\u003c\/p\u003e \u003cp\u003e12.8 Hyperbolas 695\u003c\/p\u003e \u003cp\u003e12.9 Polar coordinates, equations and graphs 703\u003c\/p\u003e \u003cp\u003e12.10 Parametric equations 712\u003c\/p\u003e \u003cp\u003e12.11 Review 717\u003c\/p\u003e \u003cp\u003eAnswers 721\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Simulation, sampling and sampling distributions 745\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 746\u003c\/p\u003e \u003cp\u003e13.2 Random experiments, events and event spaces 747\u003c\/p\u003e \u003cp\u003e13.3 Simulation 750\u003c\/p\u003e \u003cp\u003e13.4 Discrete random variables 757\u003c\/p\u003e \u003cp\u003e13.5 Sampling 768\u003c\/p\u003e \u003cp\u003e13.6 Sampling distribution of sample means 774\u003c\/p\u003e \u003cp\u003e13.7 Review 786\u003c\/p\u003e \u003cp\u003eAnswers 791\u003c\/p\u003e \u003cp\u003eGlossary 795\u003c\/p\u003e \u003cp\u003eIndex 803\u003c\/p\u003e","brand":"Geoff 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