{"product_id":"jacaranda-maths-quest-11-mathematical-methods-vce-units-1-and-2-3e-learnon-and-print","title":"Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 3e learnON and Print","description":"\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Lines and linear relationships 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Linear equations and inequations 3\u003c\/p\u003e \u003cp\u003e1.3 Systems of simultaneous linear equations 8\u003c\/p\u003e \u003cp\u003e1.4 Linear graphs and their equations 15\u003c\/p\u003e \u003cp\u003e1.5 Intersections of lines and their applications 24\u003c\/p\u003e \u003cp\u003e1.6 Straight lines and gradients 31\u003c\/p\u003e \u003cp\u003e1.7 Bisection and lengths of line segments 38\u003c\/p\u003e \u003cp\u003e1.8 Review 45\u003c\/p\u003e \u003cp\u003eAnswers 49\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Algebraic foundations 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 56\u003c\/p\u003e \u003cp\u003e2.2 Algebraic skills 57\u003c\/p\u003e \u003cp\u003e2.3 Pascal’s triangle and binomial expansions 67\u003c\/p\u003e \u003cp\u003e2.4 The binomial theorem 71\u003c\/p\u003e \u003cp\u003e2.5 Sets of real numbers 80\u003c\/p\u003e \u003cp\u003e2.6 Surds 87\u003c\/p\u003e \u003cp\u003e2.7 Review 99\u003c\/p\u003e \u003cp\u003eAnswers 103\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Quadratic relationships 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 110\u003c\/p\u003e \u003cp\u003e3.2 Quadratic equations with rational roots 111\u003c\/p\u003e \u003cp\u003e3.3 Quadratics over R 116\u003c\/p\u003e \u003cp\u003e3.4 Applications of quadratic equations 129\u003c\/p\u003e \u003cp\u003e3.5 Graphs of quadratic polynomials 134\u003c\/p\u003e \u003cp\u003e3.6 Determining the rule of a quadratic polynomial from a graph 146\u003c\/p\u003e \u003cp\u003e3.7 Quadratic inequations 152\u003c\/p\u003e \u003cp\u003e3.8 Quadratic models and applications 160\u003c\/p\u003e \u003cp\u003e3.9 Review 166\u003c\/p\u003e \u003cp\u003eAnswers 171\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Cubic polynomials 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 184\u003c\/p\u003e \u003cp\u003e4.2 Polynomials 185\u003c\/p\u003e \u003cp\u003e4.3 The remainder and factor theorems 197\u003c\/p\u003e \u003cp\u003e4.4 Graphs of cubic polynomials 207\u003c\/p\u003e \u003cp\u003e4.5 Equations of cubic polynomials 218\u003c\/p\u003e \u003cp\u003e4.6 Cubic models and applications 230\u003c\/p\u003e \u003cp\u003e4.7 Review 237\u003c\/p\u003e \u003cp\u003eAnswers 241\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Quartic polynomials 257\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 258\u003c\/p\u003e \u003cp\u003e5.2 Quartic polynomials 259\u003c\/p\u003e \u003cp\u003e5.3 Families of polynomials 272\u003c\/p\u003e \u003cp\u003e5.4 Numerical approximation of roots of polynomial equations 277\u003c\/p\u003e \u003cp\u003e5.5 Review 287\u003c\/p\u003e \u003cp\u003eAnswers 291\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Functions and relations 301\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 302\u003c\/p\u003e \u003cp\u003e6.2 Functions and relations 303\u003c\/p\u003e \u003cp\u003e6.3 The rectangular hyperbola and the truncus 314\u003c\/p\u003e \u003cp\u003e6.4 The square root function 332\u003c\/p\u003e \u003cp\u003e6.5 Other functions and relations 339\u003c\/p\u003e \u003cp\u003e6.6 Transformations of functions 353\u003c\/p\u003e \u003cp\u003e6.7 Review 365\u003c\/p\u003e \u003cp\u003eAnswers 370\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Probability 389\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 390\u003c\/p\u003e \u003cp\u003e7.2 Probability review 391\u003c\/p\u003e \u003cp\u003e7.3 Conditional probability 403\u003c\/p\u003e \u003cp\u003e7.4 Independence 413\u003c\/p\u003e \u003cp\u003e7.5 Counting techniques 420\u003c\/p\u003e \u003cp\u003e7.6 Binomial coefficients and Pascal’s triangle 434\u003c\/p\u003e \u003cp\u003e7.7 Review 444\u003c\/p\u003e \u003cp\u003eAnswers 449\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Trigonometric functions 455\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 456\u003c\/p\u003e \u003cp\u003e8.2 Trigonometric ratios 457\u003c\/p\u003e \u003cp\u003e8.3 Circular measure 466\u003c\/p\u003e \u003cp\u003e8.4 Unit circle definitions 475\u003c\/p\u003e \u003cp\u003e8.5 Symmetry properties 486\u003c\/p\u003e \u003cp\u003e8.6 Graphs of the sine and cosine functions 497\u003c\/p\u003e \u003cp\u003e8.7 Review 508\u003c\/p\u003e \u003cp\u003eAnswers 512\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Trigonometric functions and applications 521\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 522\u003c\/p\u003e \u003cp\u003e9.2 Trigonometric equations 523\u003c\/p\u003e \u003cp\u003e9.3 Transformations of sine and cosine graphs 533\u003c\/p\u003e \u003cp\u003e9.4 Applications of sine and cosine functions 542\u003c\/p\u003e \u003cp\u003e9.5 The tangent function 549\u003c\/p\u003e \u003cp\u003e9.6 Trigonometric identities and properties 558\u003c\/p\u003e \u003cp\u003e9.7 Review 567\u003c\/p\u003e \u003cp\u003eAnswers 572\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Exponential functions and logarithms 585\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 586\u003c\/p\u003e \u003cp\u003e10.2 Indices as exponents 587\u003c\/p\u003e \u003cp\u003e10.3 Indices as logarithms 596\u003c\/p\u003e \u003cp\u003e10.4 Graphs of exponential functions 606\u003c\/p\u003e \u003cp\u003e10.5 Applications of exponential functions 617\u003c\/p\u003e \u003cp\u003e10.6 Inverses of exponential functions 623\u003c\/p\u003e \u003cp\u003e10.7 Review 636\u003c\/p\u003e \u003cp\u003eAnswers 641\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Introduction to differential calculus 653\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 654\u003c\/p\u003e \u003cp\u003e11.2 Rates of change 655\u003c\/p\u003e \u003cp\u003e11.3 Gradients of secants 664\u003c\/p\u003e \u003cp\u003e11.4 The derivative function 669\u003c\/p\u003e \u003cp\u003e11.5 Differentiation of polynomials by rule 677\u003c\/p\u003e \u003cp\u003e11.6 Review 688\u003c\/p\u003e \u003cp\u003eAnswers 692\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Differentiation and applications 701\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 702\u003c\/p\u003e \u003cp\u003e12.2 Limits, continuity and differentiability 703\u003c\/p\u003e \u003cp\u003e12.3 Coordinate geometry applications of differentiation 714\u003c\/p\u003e \u003cp\u003e12.4 Curve sketching 724\u003c\/p\u003e \u003cp\u003e12.5 Optimisation problems 733\u003c\/p\u003e \u003cp\u003e12.6 Rates of change and kinematics 739\u003c\/p\u003e \u003cp\u003e12.7 Derivatives of power functions (extending) 750\u003c\/p\u003e \u003cp\u003e12.8 Review 756\u003c\/p\u003e \u003cp\u003eAnswers 761\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Anti-differentiation and introduction to integral calculus 771\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 772\u003c\/p\u003e \u003cp\u003e13.2 Anti-derivatives 773\u003c\/p\u003e \u003cp\u003e13.3 Anti-derivative functions and graphs 780\u003c\/p\u003e \u003cp\u003e13.4 Applications of anti-differentiation 787\u003c\/p\u003e \u003cp\u003e13.5 The definite integral 794\u003c\/p\u003e \u003cp\u003e13.6 Review 806\u003c\/p\u003e \u003cp\u003eAnswers 811\u003c\/p\u003e \u003cp\u003eAlgorithms and Pseudocode\u003c\/p\u003e \u003cp\u003eGlossary 819\u003c\/p\u003e \u003cp\u003eIndex 827\u003c\/p\u003e","brand":"Beverly Langsford Willing","offers":[{"title":"Default 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