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2 |
(30) |
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1.1 Introducing functions |
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4 |
(4) |
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1.2 The domain and range of a relation on a Cartesian plane |
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8 |
(5) |
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13 |
(1) |
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14 |
(2) |
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16 |
(5) |
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1.6 Transforming functions |
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21 |
(11) |
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Chapter 2 Quadratic functions and equations |
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32 |
(30) |
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2.1 Solving quadratic equations |
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34 |
(4) |
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2.2 The quadratic formula |
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38 |
(3) |
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2.3 Roots of quadratic equations |
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41 |
(2) |
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2.4 Graphs of quadratic functions |
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43 |
(10) |
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2.5 Applications of quadratics |
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53 |
(9) |
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62 |
(38) |
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64 |
(4) |
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68 |
(9) |
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3.3 Sample space diagrams and the product rule |
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77 |
(8) |
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3.4 Conditional probability |
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85 |
(4) |
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3.5 Probability tree diagrams |
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89 |
(11) |
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Chapter 4 Exponential and logarithmic functions |
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100 |
(40) |
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103 |
(4) |
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4.2 Solving exponential equations |
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107 |
(2) |
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4.3 Exponential functions |
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109 |
(6) |
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4.4 Properties of logarithms |
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115 |
(3) |
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4.5 Logarithmic functions |
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118 |
(4) |
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122 |
(5) |
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4.7 Exponential and logarithmic equations |
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127 |
(4) |
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4.8 Applications of exponential and logarithmic functions |
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131 |
(9) |
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Chapter 5 Rational functions |
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140 |
(20) |
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142 |
(1) |
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5.2 The reciprocal function |
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143 |
(4) |
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147 |
(13) |
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Chapter 6 Patterns, sequences and series |
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160 |
(34) |
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6.1 Patterns and sequences |
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162 |
(2) |
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164 |
(3) |
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167 |
(3) |
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6.4 Sigma (Σ) notation and series |
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170 |
(2) |
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172 |
(3) |
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175 |
(3) |
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6.7 Convergent series and sums to infinity |
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178 |
(3) |
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6.8 Applications of geometric and arithmetic patterns |
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181 |
(3) |
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6.9 Pascal's triangle and the binomial expansion |
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184 |
(10) |
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Chapter 7 Limits and derivatives |
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194 |
(60) |
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7.1 Limits and convergence |
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196 |
(4) |
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7.2 The tangent line and derivative of xn |
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200 |
(8) |
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7.3 More rules for derivatives |
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208 |
(7) |
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7.4 The chain rule and higher order derivatives |
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215 |
(6) |
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7.5 Rates of change and motion in a line |
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221 |
(9) |
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7.6 The derivative and graphing |
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230 |
(10) |
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7.7 More on extrema and optimization problems |
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240 |
(14) |
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Chapter 8 Descriptive statistics |
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254 |
(36) |
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256 |
(1) |
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257 |
(3) |
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8.3 Measures of central tendency |
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260 |
(7) |
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8.4 Measures of dispersion |
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267 |
(4) |
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271 |
(5) |
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8.6 Variance and standard deviation |
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276 |
(14) |
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290 |
(42) |
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9.1 Antiderivatives and the indefinite integral |
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291 |
(6) |
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9.2 More on indefinite integrals |
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297 |
(5) |
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9.3 Area and definite integrals |
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302 |
(7) |
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9.4 Fundamental Theorem of Calculus |
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309 |
(4) |
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9.5 Area between two curves |
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313 |
(5) |
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318 |
(3) |
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9.7 Definite integrals with linear motion and other problems |
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321 |
(11) |
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Chapter 10 Bivariate analysis |
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332 |
(30) |
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334 |
(5) |
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10.2 The line of best fit |
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339 |
(6) |
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10.3 Least squares regression |
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345 |
(4) |
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10.4 Measuring correlation |
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349 |
(13) |
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362 |
(42) |
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11.1 Right-angled triangle trigonometry |
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363 |
(6) |
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11.2 Applications of right-angled triangle trigonometry |
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369 |
(4) |
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11.3 Using the coordinate axes in trigonometry |
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373 |
(7) |
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380 |
(6) |
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386 |
(3) |
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389 |
(2) |
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11.7 Radians, arcs and sectors |
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391 |
(13) |
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404 |
(42) |
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12.1 Vectors: basic concepts |
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407 |
(13) |
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12.2 Addition and subtraction of vectors |
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420 |
(6) |
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426 |
(4) |
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12.4 Vector equation of a line |
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430 |
(7) |
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12.5 Application of vectors |
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437 |
(9) |
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Chapter 13 Circular functions |
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446 |
(48) |
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13.1 Using the unit circle |
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448 |
(6) |
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13.2 Solving equations using the unit circle |
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454 |
(2) |
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13.3 Trigonometric identities |
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456 |
(6) |
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13.4 Graphing circular functions |
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462 |
(7) |
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13.5 Translations and stretches of trigonometric functions |
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469 |
(9) |
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13.6 Combined transformations with sine and cosine functions |
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478 |
(5) |
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13.7 Modeling with sine and cosine functions |
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483 |
(11) |
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Chapter 14 Calculus with trigonometric functions |
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494 |
(24) |
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|
14.1 Derivatives of trigonometric functions |
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496 |
(4) |
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|
14.2 More practice with derivatives |
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500 |
(5) |
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|
14.3 Integral of sine and cosine |
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505 |
(5) |
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14.4 Revisiting linear motion |
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510 |
(8) |
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Chapter 15 Probability distributions |
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518 |
(38) |
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520 |
(7) |
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15.2 The binomial distribution |
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527 |
(11) |
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15.3 The normal distribution |
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|
538 |
(18) |
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Chapter 16 The Exploration |
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556 |
(14) |
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|
16.1 About the exploration |
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556 |
(1) |
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16.2 Internal assessment criteria |
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557 |
(5) |
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16.3 How the exploration is marked |
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562 |
(1) |
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562 |
(1) |
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563 |
(1) |
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564 |
(4) |
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568 |
(2) |
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|
Chapter 17 Using a graphic display calculator |
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|
570 |
(62) |
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572 |
(26) |
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598 |
(8) |
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606 |
(2) |
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608 |
(4) |
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|
5 Statistics and probability |
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612 |
(20) |
|
|
Chapter 18 Prior learning |
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632 |
(76) |
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633 |
(24) |
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657 |
(16) |
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673 |
(26) |
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699 |
(9) |
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|
Chapter 19 Practice papers |
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|
708 |
(8) |
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708 |
(4) |
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712 |
(4) |
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Answers |
|
716 |
(68) |
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Index |
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784 |
|
