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Home > Mathematics and Science books > Mathematics > Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 3e learnON and Print: (Maths Quest for Victoria Senior Series)
Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 3e learnON and Print: (Maths Quest for Victoria Senior Series)

Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 3e learnON and Print: (Maths Quest for Victoria Senior Series)


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About the Book

Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 Everything your students need to succeed. The best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for, VCE students. Get exam ready: past VCAA exam questions (all since 2013) Students can start preparing from lesson one, with past VCAA exam questions embedded in every lesson. Practice, customisable SACs available for all Units to build student competence and confidence. Learn online with Australia's most powerful learning platform, learnON Be confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple. Combine units flexibly with the Jacaranda Supercourse An Australian first, build the course you've always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 & 2 for when students switch courses. The possibilities are endless!

Table of Contents:
About This Resource vii Acknowledgements xiv 1 Lines and linear relationships 1 1.1 Overview 2 1.2 Linear equations and inequations 3 1.3 Systems of simultaneous linear equations 8 1.4 Linear graphs and their equations 15 1.5 Intersections of lines and their applications 24 1.6 Straight lines and gradients 31 1.7 Bisection and lengths of line segments 38 1.8 Review 45 Answers 49 2 Algebraic foundations 55 2.1 Overview 56 2.2 Algebraic skills 57 2.3 Pascal’s triangle and binomial expansions 67 2.4 The binomial theorem 71 2.5 Sets of real numbers 80 2.6 Surds 87 2.7 Review 99 Answers 103 3 Quadratic relationships 109 3.1 Overview 110 3.2 Quadratic equations with rational roots 111 3.3 Quadratics over R 116 3.4 Applications of quadratic equations 129 3.5 Graphs of quadratic polynomials 134 3.6 Determining the rule of a quadratic polynomial from a graph 146 3.7 Quadratic inequations 152 3.8 Quadratic models and applications 160 3.9 Review 166 Answers 171 4 Cubic polynomials 183 4.1 Overview 184 4.2 Polynomials 185 4.3 The remainder and factor theorems 197 4.4 Graphs of cubic polynomials 207 4.5 Equations of cubic polynomials 218 4.6 Cubic models and applications 230 4.7 Review 237 Answers 241 5 Quartic polynomials 257 5.1 Overview 258 5.2 Quartic polynomials 259 5.3 Families of polynomials 272 5.4 Numerical approximation of roots of polynomial equations 277 5.5 Review 287 Answers 291 6 Functions and relations 301 6.1 Overview 302 6.2 Functions and relations 303 6.3 The rectangular hyperbola and the truncus 314 6.4 The square root function 332 6.5 Other functions and relations 339 6.6 Transformations of functions 353 6.7 Review 365 Answers 370 7 Probability 389 7.1 Overview 390 7.2 Probability review 391 7.3 Conditional probability 403 7.4 Independence 413 7.5 Counting techniques 420 7.6 Binomial coefficients and Pascal’s triangle 434 7.7 Review 444 Answers 449 8 Trigonometric functions 455 8.1 Overview 456 8.2 Trigonometric ratios 457 8.3 Circular measure 466 8.4 Unit circle definitions 475 8.5 Symmetry properties 486 8.6 Graphs of the sine and cosine functions 497 8.7 Review 508 Answers 512 9 Trigonometric functions and applications 521 9.1 Overview 522 9.2 Trigonometric equations 523 9.3 Transformations of sine and cosine graphs 533 9.4 Applications of sine and cosine functions 542 9.5 The tangent function 549 9.6 Trigonometric identities and properties 558 9.7 Review 567 Answers 572 10 Exponential functions and logarithms 585 10.1 Overview 586 10.2 Indices as exponents 587 10.3 Indices as logarithms 596 10.4 Graphs of exponential functions 606 10.5 Applications of exponential functions 617 10.6 Inverses of exponential functions 623 10.7 Review 636 Answers 641 11 Introduction to differential calculus 653 11.1 Overview 654 11.2 Rates of change 655 11.3 Gradients of secants 664 11.4 The derivative function 669 11.5 Differentiation of polynomials by rule 677 11.6 Review 688 Answers 692 12 Differentiation and applications 701 12.1 Overview 702 12.2 Limits, continuity and differentiability 703 12.3 Coordinate geometry applications of differentiation 714 12.4 Curve sketching 724 12.5 Optimisation problems 733 12.6 Rates of change and kinematics 739 12.7 Derivatives of power functions (extending) 750 12.8 Review 756 Answers 761 13 Anti-differentiation and introduction to integral calculus 771 13.1 Overview 772 13.2 Anti-derivatives 773 13.3 Anti-derivative functions and graphs 780 13.4 Applications of anti-differentiation 787 13.5 The definite integral 794 13.6 Review 806 Answers 811 Algorithms and Pseudocode Glossary 819 Index 827


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Product Details
  • ISBN-13: 9781119876410
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Height: 28 mm
  • No of Pages: 848
  • Returnable: N
  • Spine Width: 3 mm
  • Width: 22 mm
  • ISBN-10: 1119876419
  • Publisher Date: 07 Oct 2022
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: Maths Quest for Victoria Senior Series
  • Weight: 1644 gr


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Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 3e learnON and Print: (Maths Quest for Victoria Senior Series)
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