{"product_id":"jacaranda-maths-quest-12-specialist-mathematics-units-34-for-queensland-ebookplus-print-studyon-specialist-mathematics-u34-for-qld-book-code","title":"Jacaranda Maths Quest 12 Specialist Mathematics Units 3\u00264 for Queensland eBookPLUS \u0026 Print + StudyON Specialist Mathematics U3\u00264 for QLD (Book Code)","description":"\u003cp\u003eAbout this resource vi\u003c\/p\u003e \u003cp\u003eAbout eBookPLUS and studyON ix\u003c\/p\u003e \u003cp\u003eAcknowledgements x\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Proof by mathematical induction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 1\u003c\/p\u003e \u003cp\u003e1.2 Introduction to proof by mathematical induction 2\u003c\/p\u003e \u003cp\u003e1.3 Proof of divisibility 7\u003c\/p\u003e \u003cp\u003e1.4 Further proof by induction 9\u003c\/p\u003e \u003cp\u003e1.5 Review: exam practice 18\u003c\/p\u003e \u003cp\u003eAnswers 19\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRevision Unit 3 Mathematical Induction, and Further Vectors, Matrices and Complex Numbers\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 1 Proof by mathematical induction 21\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Vectors in three dimensions 22\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 22\u003c\/p\u003e \u003cp\u003e2.2 Introduction to vectors in three dimensions 23\u003c\/p\u003e \u003cp\u003e2.3 Geometric proofs using vectors 42\u003c\/p\u003e \u003cp\u003e2.4 Cartesian and parametric equations 50\u003c\/p\u003e \u003cp\u003e2.5 The vector equation of a straight line 65\u003c\/p\u003e \u003cp\u003e2.6 The vector product 73\u003c\/p\u003e \u003cp\u003e2.7 Applications of vectors 86\u003c\/p\u003e \u003cp\u003e2.8 Review: exam practice 97\u003c\/p\u003e \u003cp\u003eAnswers 101\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Solving systems of linear equations and the application of matrices 106\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 106\u003c\/p\u003e \u003cp\u003e3.2 Solving linear equations using matrix algebra 107\u003c\/p\u003e \u003cp\u003e3.3 Solving a system of linear equations using Gaussian elimination 119\u003c\/p\u003e \u003cp\u003e3.4 The three cases for solutions of systems of linear equations 126\u003c\/p\u003e \u003cp\u003e3.5 Using technology for matrix calculations 147\u003c\/p\u003e \u003cp\u003e3.6 Dominance and Leslie matrices 153\u003c\/p\u003e \u003cp\u003e3.7 Applications of matrices 162\u003c\/p\u003e \u003cp\u003e3.8 Review: exam practice 180\u003c\/p\u003e \u003cp\u003eAnswers 184\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Vector calculus 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 189\u003c\/p\u003e \u003cp\u003e4.2 Position vectors as functions of time: circles, ellipses and hyperbolas 190\u003c\/p\u003e \u003cp\u003e4.3 Differentiation of vectors 200\u003c\/p\u003e \u003cp\u003e4.4 Integration of vectors 211\u003c\/p\u003e \u003cp\u003e4.5 Straight line motion with constant and variable acceleration 217\u003c\/p\u003e \u003cp\u003e4.6 Projectile motion 228\u003c\/p\u003e \u003cp\u003e4.7 Circular motion 242\u003c\/p\u003e \u003cp\u003e4.8 Review: exam practice 249\u003c\/p\u003e \u003cp\u003eAnswers 252\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRevision Unit 3 Mathematical Induction, and Further Vectors, Matrices and Complex Numbers\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 2 Vectors and matrices 260\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Complex numbers 261\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 261\u003c\/p\u003e \u003cp\u003e5.2 Complex numbers in Cartesian form 262\u003c\/p\u003e \u003cp\u003e5.3 Complex numbers in polar form 268\u003c\/p\u003e \u003cp\u003e5.4 De Moivre’s theorem 278\u003c\/p\u003e \u003cp\u003e5.5 The complex plane (the Argand plane) 283\u003c\/p\u003e \u003cp\u003e5.6 Roots of complex numbers 291\u003c\/p\u003e \u003cp\u003e5.7 Factorisation of polynomials 298\u003c\/p\u003e \u003cp\u003e5.8 Review: exam practice 304\u003c\/p\u003e \u003cp\u003eAnswers 306\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRevision Unit 3 Mathematical Induction, and Further Vectors, Matrices and Complex Numbers\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 3 Complex numbers 2 313\u003c\/p\u003e \u003cp\u003ePractice Assessment 1 Specialist Mathematics: Problem solving and modelling task 314\u003c\/p\u003e \u003cp\u003ePractice Assessment 2 Specialist Mathematics: Unit 3 examination 317\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Integration techniques 323\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 323\u003c\/p\u003e \u003cp\u003e6.2 Integration by linear substitution 324\u003c\/p\u003e \u003cp\u003e6.3 Integration by non-linear substitutions 333\u003c\/p\u003e \u003cp\u003e6.4 Integration using the trigonometric identities 341\u003c\/p\u003e \u003cp\u003e6.5 Integration of inverse trigonometric functions 352\u003c\/p\u003e \u003cp\u003e6.6 Integration by parts 374\u003c\/p\u003e \u003cp\u003e6.7 Integration involving partial fractions 378\u003c\/p\u003e \u003cp\u003e6.8 Review: exam practice 387\u003c\/p\u003e \u003cp\u003eAnswers 389\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Applications of integral calculus 395\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 395\u003c\/p\u003e \u003cp\u003e7.2 Area between a function and the axes 396\u003c\/p\u003e \u003cp\u003e7.3 Area between functions 403\u003c\/p\u003e \u003cp\u003e7.4 Volumes of solids of revolution 413\u003c\/p\u003e \u003cp\u003e7.5 Volumes of revolution 421\u003c\/p\u003e \u003cp\u003e7.6 Approximation using Simpson’s rule 432\u003c\/p\u003e \u003cp\u003e7.7 Exponential probability density function 441\u003c\/p\u003e \u003cp\u003e7.8 Review: exam practice 446\u003c\/p\u003e \u003cp\u003eAnswers 448\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRevision Unit 4 Further Calculus and Statistical Inference\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 1 Integration and applications of integration 451\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Rates of change and differential equations 452\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 452\u003c\/p\u003e \u003cp\u003e8.2 Implicit differentiation 453\u003c\/p\u003e \u003cp\u003e8.3 Related rates as instances of the chain rule 460\u003c\/p\u003e \u003cp\u003e8.4 Solving differential equations of the form \u003ci\u003edy\/dx \u003c\/i\u003e= \u003ci\u003ef\u003c\/i\u003e(\u003ci\u003ex\u003c\/i\u003e) 468\u003c\/p\u003e \u003cp\u003e8.5 Solving differential equations of the form \u003ci\u003edy\/dx\u003c\/i\u003e= \u003ci\u003eg(y\u003c\/i\u003e) 475\u003c\/p\u003e \u003cp\u003e8.6 Solving differential equations of the form \u003ci\u003edy\/dx\u003c\/i\u003e= \u003ci\u003ef\u003c\/i\u003e(\u003ci\u003ex\u003c\/i\u003e)g\u003ci\u003e(y\u003c\/i\u003e) 482\u003c\/p\u003e \u003cp\u003e8.7 Review: exam practice 486\u003c\/p\u003e \u003cp\u003eAnswers 489\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Applications of first-order differential equations 493\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 493\u003c\/p\u003e \u003cp\u003e9.2 Growth and decay 494\u003c\/p\u003e \u003cp\u003e9.3 Other applications of first-order differential equations 501\u003c\/p\u003e \u003cp\u003e9.4 Bounded growth and Newton’s law of cooling 508\u003c\/p\u003e \u003cp\u003e9.5 Chemical reactions and dilution problems 514\u003c\/p\u003e \u003cp\u003e9.6 The logistic equation 524\u003c\/p\u003e \u003cp\u003e9.7 Slope fields 534\u003c\/p\u003e \u003cp\u003e9.8 Review: exam practice 545\u003c\/p\u003e \u003cp\u003eAnswers 549\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Modelling motion 1 554\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 554\u003c\/p\u003e \u003cp\u003e10.2 A body in equilibrium under concurrent forces 555\u003c\/p\u003e \u003cp\u003e10.3 Action and reaction forces 568\u003c\/p\u003e \u003cp\u003e10.4 Momentum and resultant force 576\u003c\/p\u003e \u003cp\u003e10.5 Forces on connected particles 587\u003c\/p\u003e \u003cp\u003e10.6 Review: exam practice 595\u003c\/p\u003e \u003cp\u003eAnswers 599\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Modelling motion 2 601\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 601\u003c\/p\u003e \u003cp\u003e11.2 Forces that depend on time 602\u003c\/p\u003e \u003cp\u003e11.3 Forces that depend on velocity 608\u003c\/p\u003e \u003cp\u003e11.4 Forces that depend on displacement 620\u003c\/p\u003e \u003cp\u003e11.5 Simple harmonic motion 626\u003c\/p\u003e \u003cp\u003e11.6 Review: exam practice 634\u003c\/p\u003e \u003cp\u003eAnswers 637\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRevision Unit 4 Further Calculus and Statistical Inference\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 2 Rates of change and differential equations 639\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Statistical inference 640\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 640\u003c\/p\u003e \u003cp\u003e12.2 Review of continuous random variables and the normal distribution 641\u003c\/p\u003e \u003cp\u003e12.3 Sample means and simulations 644\u003c\/p\u003e \u003cp\u003e12.4 Confidence intervals 652\u003c\/p\u003e \u003cp\u003e12.5 Applications of confidence intervals 659\u003c\/p\u003e \u003cp\u003e12.6 Review: exam practice 672\u003c\/p\u003e \u003cp\u003eAnswers 675\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRevision Unit 4 Further Calculus and Statistical Inference\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 3 Statistical inference 677\u003c\/p\u003e \u003cp\u003ePractice Assessment 3 Specialist Mathematics: Unit 4 examination 678\u003c\/p\u003e \u003cp\u003ePractice Assessment 4 Specialist Mathematics: Units 3 \u0026amp; 4 examination 685\u003c\/p\u003e \u003cp\u003eGlossary 694\u003c\/p\u003e \u003cp\u003eIndex 697\u003c\/p\u003e","brand":"Catherine Smith","offers":[{"title":"Default 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