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Higher Level Files:
Page Number File Type File Name
iii pdf Prelim summary
iii pdf Chapter 1 summary
iii pdf Chapter 2 summary
iii pdf Chapter 3 summary
iii pdf Chapter 4 summary
iii pdf Chapter 5 summary
iii pdf Chapter 6 summary
iv pdf Chapter 7 summary
iv pdf Chapter 8 summary
iv pdf Chapter 9 summary
iv pdf Chapter 10 summary
iv pdf Chapter 11 summary
iv pdf Chapter 12 summary
iv pdf Chapter 13 summary
iv pdf Chapter 14 summaryv pdf Chapter 15 summary
v pdf Chapter 16 summary
v pdf Chapter 17 summary
v pdf Chapter 18 summary
v pdf Chapter 19 summary
v pdf Chapter 20 summary
v pdf Answers summary
v pdf Index summary
4 video 1.1: Proof of irrationality
14 pdf Exercise 1.1 Worked Solutions
19 pdf Exercise 1.2 Worked Solutions
23 pdf Exercise 1.3 Worked Solutions25 pdf Exercise 1.4 Worked Solutions
26 Autograph Equivalence 1
27 Autograph Equivalence 2
28 Autograph Equivalence 3
30 Autograph Factors of Quadratics
35 pdf Exercise 1.5 Worked Solutions
39 Autograph Midpoint
39 Autograph Parallel Lines
39 Autograph Perpendicular Lines
39 Autograph Distance between Two Points as Radius of a Circle
40 Autograph Distance 1
40 Autograph Distance 2
42 Autograph Solving Equations
45 Quiz 1.1 Straight Lines Interactive
45 pdf Exercise 1.6 Worked Solutions
45 pdf 1.1 Straight Lines Answers
45 pdf 1.1 Straight Lines Quiz
45 pdf Chapter 1 Summary
45 pdf Chapter 1 Test
49 Autograph Vertical Line Test 1
49 Autograph Vertical Line Test 2
51 Autograph Domain and Range 1
52 Autograph Domain and Range 255 Autograph Range of a Cubic
56 pdf Exercise 2.1 Worked Solutions
57 Autograph Composite Functions 1
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60 Autograph Composite Functions 2
61 pdf Exercise 2.2 Worked Solutions
61 pdf 2.2 Example composite functions
66 Autograph Inverse 1
66 Autograph Inverse 2
66 Autograph Inverse 3
66 Autograph Inverse 4
66 Autograph Inverse Functions
68 pdf 2.3 Example inverse functions
69 pdf Exercise 2.3 Worked Solutions
70 Autograph Transformations of Functions
74 Autograph Vertical Reflection 1
75 Autograph Horizontal Reflection 1
75 Autograph Horizontal Reflection 2
75 Autograph Vertical Reflection 2
82 Autograph Reciprocal Plotter
83 Autograph Modulus Plotter
85 pdf Exercise 2.4 Worked Solutions85 pdf Chapter 2 Summary
86 Autograph Translation
89 pdf Chapter 2 Practice Question Solutions
89 pdf 2.1 Functions Answers
89 pdf 2.1 Functions Quiz
89 pdf Chapter 2 Test
89 video 1.6: Golden ration
97 pdf 3.1 Example synthetic substitution
98 pdf Exercise 3.1 Worked Solutions
100 Autograph Completing the Square
100 video 3.2: Completing the square
106 Autograph Quadratic Formula
108 Autograph Quadratic Factoring
112 pdf Exercise 3.2 Worked Solutions
116 Autograph Polynomial Zeros
125 Quiz 2.1/3.1 Functions and Quadratics Interactive
125 pdf Exercise 3.3 Worked Solutions
125 pdf 3.1 Polynomials and Quadratics Answers
125 pdf 3.1 Polynomials and Quadratics Quiz
127 Autograph Rational Function Asymptotes
127 Autograph Rational Functions
127 Autograph Geometric Sequence with Sum
131 pdf Exercise 3.4 Worked Solutions131 pdf 3.4 Rational Functions Answers
131 pdf 3.4 Rational Functions Quiz
133 pdf 3.5 Example equations with radicals
137 Autograph Modulus
144 pdf Exercise 3.5 Worked Solutions
144 pdf Inequalities Answers
144 pdf Inequalities Quiz
149 pdf Exercise 3.6 Worked Solutions
149 pdf Chapter 3 Summary
150 Autograph A Line Meeting a Parabola
150 pdf Chapter 3 Practice Question Solutions
150 pdf Chapter 3 Test154 pdf Exercise 4.1 Worked Solutions
156 pdf 4.2 Example arithmetic means
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156 pdf 4.2 Formula
157 pdf Exercise 4.2 Worked Solutions
160 excel 4.4: Paying off a mortgage
161 pdf 4.3 Example compound interest
164 pdf Exercise 4.3 Worked Solutions
167 Autograph Arithmetic Sequence with Sum
167 pdf 4.4 Example arithmetic series
167 pdf 4.4 Formula arithmetic series
168 pdf 4.4 Example geometric series partial sums
168 pdf 4.4 Formula geometric series partial sums
169 pdf 4.4 Formula infinite geometric series
170 pdf 4.4 Example infinite geometric series
174 Quiz 4.1 Sequences and Series Interactive
174 pdf Exercise 4.4 Worked Solutions
174 pdf 4.1 Sequences and Series Answers
174 pdf 4.1 Sequences and Series Quiz
175 pdf 4.5 Example with and without replacement
178 pdf 4.5 Example permutations179 pdf 4.5 Example combination vs permutations
183 pdf Exercise 4.5 Worked Solutions
184 pdf 4.6 Example Pascals triangle
187 pdf 4.6 Example binomial theorem
190 pdf Exercise 4.6 Worked Solutions
192 pdf 4.7 Example mathematical induction
192 video 4.7: Example 40
196 pdf 4.7 Example induction
200 pdf Exercise 4.7 Worked Solutions
200 pdf Binomial Theorem and Induction Answers
200 pdf Binomial Theorem and Induction Quiz
200 pdf Chapter 4 Summary
205 excel 4.9: Solution to question 47
205 pdf Chapter 4 Practice Question Solutions
205 pdf Chapter 4 Test
216 pdf Exercise 5.1 and 5.2 Worked Solutions
218 Autograph Definition of e
221 Autograph Exponential Decay Model
221 Autograph Exponential Equation Solution
221 Autograph Exponential Growth Model
224 pdf Exercise 5.3 Worked Soutions
227 Autograph Exponential Logarithmic Function
227 Autograph Inverse Graphs234 pdf Exercise 5.4 Worked Soutions
243 pdf Exercise 5.5 Worked Soutions
243 pdf Chapter 5 Summary
245 Quiz 5.1 Exponential and Logarithmic Functions Interactive
245 pdf Chapter 5 Practice Question Solutions
245 pdf 5.1 Exponential and Logarithmic Functions Answers
245 pdf 5.1 Exponential and Logarithmic Functions Quiz
245 pdf Chapter 5 Test
256 pdf Exercise 6.1 and 6.2 Worked Solutions
266 pdf Exercise 6.3 Worked Solutions
274 pdf 6.4 Example Gaussian elimination
276 pdf Exercise 6.4 WorkedSolutions276 pdf Chapter 6 Summary
278 pdf Chapter 6 Practice Question Solutions
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278 pdf 6.1 Matrices Answers
278 pdf 6.1 Matrices Quiz
281 Autograph Radian Degree Conversion
281 Autograph Radian Measure
288 pdf Exercise 7.1 Worked Solutions
290 Autograph Unit Circle Definitions
297 Autograph Unit Circle Symmetries 1
297 Autograph Unit Circle Symmetries 2
300 pdf Exercise 7.2 Worked Solutions
301 Autograph Cosine Curve
301 Autograph Sine Curve
308 Media 7.1 Equations of Graphs
308 Media 7.1 Equations of Graphs
308 Autograph Sine Modelling
309 video 7.3: horizontal translation identities
309 video 7.3: complementary angles
310 Autograph Tan Curve
313 pdf Exercise 7.3 Worked Solutions315 video 7.4: trigonometric equations
317 video 7.4: verifying trig equation cos
318 video 7.4: solving trigonometric equations
322 pdf Exercise 7.4 Worked Solutions
323 Autograph Pythagorean Identity
325 video 7.5: verifying trigonometric equation solution
330 Autograph Sine Double Angle Formula 1
330 Autograph Sine Double Angle Formula 2
335 pdf Exercise 7.5 Worked Solutions
345 pdf Exercise 7.6 Worked Solutions
345 pdf Chapter 7 Summary
349 pdf Chapter 7 Practice Question Solutions
349 pdf 7.1 Trigonometry Answers
349 pdf 7.1 Trigonometry Quiz
349 pdf Chapter 7 Test
360 pdf Exercise 8.1 Worked Solutions
369 pdf Exercise 8.2 Worked Solutions
370 Autograph Sine Rule
370 Autograph Sine Rule
376 Autograph Cosine Rule 1
376 Autograph Cosine Rule 2
378 video 8.4: how to avoid losing precision on GDC
382 pdf Exercise 8.3 and 8.4 Worked Solutions382 pdf 8.4 Example Herons formula
383 Autograph Tangent and Gradient of Line
383 Autograph Tangent and Gradient the Same
393 pdf Exercise 8.5 Worked Solutions
393 pdf Chapter 8 Summary
396 Autograph Maximising Triangular Area
397 Quiz 8.1 Triangle Trigonometry Interactive
397 pdf Chapter 8 Practice Question Solutions
397 pdf 8.1 Triangle Trigonometry Answers
397 pdf 8.1 Triangle Trigonometry Quiz
397 pdf Chapter 8 Test
400 Autograph Displacement Vectors400 Autograph Vector Equality
401 Autograph Position Vectors and Coordinates
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401 Autograph Vector Magnitude
403 Autograph Combining Vectors
406 Autograph Vector Sum
406 pdf 9.2 Example parallel vectors
409 pdf Exercise 9.1and 9.2 Worked Solutions
410 Autograph Unit Vectors
410 pdf 9.3 Example direction angle
411 pdf 9.3 Example unit vectors
413 pdf 9.3 Example inclined plane
415 Autograph Moving Ships
415 pdf 9.3 Example navigation
419 Autograph Scalar Product Definition
419 pdf Exercise 9.3 Worked Solutions
420 Autograph Scalar Product Zero
420 pdf 9.4 Formula scalar product
422 pdf 9.4 Example angle between vectors
425 pdf Exercise 9.4 Worked Solutions
425 pdf Chapter 9 Summary427 pdf Chapter 9 Practice Question Solutions
427 pdf 9.1 Vectors in Two Dimensions Answers
427 pdf 9.1 Vectors in Two Dimensions Quiz
427 pdf Chapter 9 Test
436 pdf 10.1 Example complex numbers
438 pdf 10.1 Example zeros of polynomials
440 pdf Exercise 10.1 Worked Solutions
442 pdf 10.2 Example complex number operations
445 Autograph Complex Multiplication
447 pdf 10.2 Summary polar form
448 pdf 10.2 Example polar form
449 pdf Exercise 10.2 Worked Solutions
450 Autograph De Moivre's Theorem
451 pdf 10.3 Example complex powers
453 pdf 10.3 Example complex roots
455 Autograph Roots of Unity
457 pdf 10.3 Formula complex powers
459 pdf Exercise 10.3 Worked Solutions
459 pdf Chapter 10 Summary
462 pdf Chapter 10 Practice Question Solutions
462 pdf 10.1 Complex Numbers Answers
462 pdf 10.1 Complex Numbers Quiz
462 pdf Chapter 10 Test468 pdf 11.1 Example frequency distribution
470 video 11.1: histogram
470 video 11.1: cumulative frequency distribution demonstration
470 video 11.1: cumulative frequency
473 Autograph Histograms
479 pdf Exercise 11.1 Worked Solutions
482 pdf 11.2 Example central values
486 pdf Exercise 11.2 Worked Solutions
490 video 11.3: one variable statistics
491 pdf 11.3 Example box plot
492 Autograph Box and Whiskers 1
492 Autograph Box and Whiskers 2493 video 11.3: box plot graph for data
493 video 11.3: one variable statistics grouped
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494 video 11.3: ogive
497 Autograph Data Sampling 1
501 video 11.3: multiple graphs
505 pdf Exercise 11.3 Worked Solutions
505 pdf Chapter 11 Summary
515 Quiz 11.1 Statistics Interactive
515 pdf Chapter 11 Practice Question Solutions
515 pdf 11.1 Statistics Answers
515 pdf 11.1 Statistics Quiz
515 pdf Chapter 11 Test
520 pdf 12.2 Example probability
525 pdf Exercise 12.1 and 12.2 Worked Solutions
528 pdf 12.3 Example probability
531 pdf 12.3 Example probability 2
537 pdf Exercise 12.3 Worked Solutions
539 pdf 12.4 Example probability
542 pdf 12.4 Example probability 2
545 pdf 12.4 Example probability 3552 pdf Exercise 12.4 Worked Solutions
555 excel 12.5: Bayes theorem calculator
558 pdf 12.5 Example Bayes theorem
561 pdf Exercise 12.5 Worked Solutions
562 pdf Chapter 12 Summary
570 Quiz 12.1 Probability
570 pdf Chapter 12 Practice Question Solutions
570 pdf 12.1 Probability Answers
570 pdf 12.1 Probability Quiz
570 pdf Chapter 12 Test
573 video 13.1: limit of functions
573 video 13.1: limit of indeterminate form
574 Autograph Limit of sine(x) over x
580 pdf Exercise 13.1 Worked Solutions
581 Autograph Tangent and Velocity
583 Autograph Chords and Tangents
583 Autograph Derivative Definition: Different Limits
583 Autograph Derivative Definition the Standard case
583 Autograph Derivative Definition: Discontinuity
583 Autograph Derivative Definition: No Limit
585 video 13.2: numerical derivative
586 pdf 13.2 Example differentiation from first principles
588 Autograph Turning Points589 video 13.2: numerical derivative on graph screen
590 video 13.2: tangent to curve
590 video 13.2: tangent at turning point
591 video 13.2: verifying slope with nDeriv
592 Autograph Plotting a Gradient Function
592 Autograph Gradient Function Trace
592 video 13.2: using nDeriv to verify derivative
598 pdf Exercise 13.2 Worked Solutions
606 Autograph Function with First and Second Derivatives
609 Autograph Second Derivative
609 Autograph Points of Inflection: No Inflection
609 Autograph Points of Inflection: Inflections Not Found614 pdf Exercise 13.3 Worked Solutions
615 video 13.4: finding equations of tangents
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617 Autograph Tangent and Normal
620 pdf Exercise 13.4 Worked Solutions
620 pdf Chapter 13 Summary
625 Quiz 13.1 Differentiation
625 pdf Chapter 13 Practice Question Solutions
625 pdf 13.1 Differentiation Answers
625 pdf 13.1 Differentiation Quiz
625 pdf Chapter 13 Test
630 pdf 14.1 Example vectors
636 pdf Exercise 14.1 Worked Solutions
640 pdf 14.2 Example direction cosines
644 pdf Exercise 14.2 Worked Solutions
645 Autograph Vector Product
646 pdf 14.3 Example vector product
647 video 14.3: Finding the area of a parallelogram
652 pdf Exercise 14.3 Worked Solutions
653 Autograph Equation of a Line
653 Autograph Parametric Lines in 3D654 Autograph Vector Equation of a Straight Line
658 pdf 14.4 Summary lines in 3D
663 Autograph Modelling Motion with Parametric Equations
670 Quiz 9.1/14 Vectors
670 Autograph Three Point Plane
670 pdf Exercise 14.4 Worked Solutions
672 Autograph Vector Equation of a Plane
677 pdf 14.5 Summary planes equations
685 Autograph Three Planes without a Unique Intersection
685 pdf 14.5 Example intersecting planes
686 Autograph A Sphere Cut by Planes
687 pdf Exercise 14.5 Worked Solutions
688 pdf Review Exercise Worked Solutions
689 pdf Chapter 14 Summary
699 pdf Chapter 14 Practice Question Solutions
699 pdf 14.1 Vectors in Three Dimensions Answers
699 pdf 14.1 Vectors in Three Dimensions Quiz
699 pdf Chapter 14 Test
706 Autograph Chain Rule
716 pdf Exercise 15.1 Worked Solutions
716 pdf 15.1 Example higher derivatives
717 Autograph Derivative of cos kx
717 Autograph Derivative of sin kx718 video 15.2: exploring derivative tan
723 video 15.2 exploring derivative ex
724 excel 15.2: Exponential function
724 Autograph Exp x
729 Quiz 15.1/15.2 Differentiation II Interactive
729 pdf Exercise 15.2 Worked Solutions
729 pdf 15.1 Chain Product and Quotient Rules Answers
729 pdf 15.1 Chain Product and Quotient Rules Quiz
735 Autograph Derivative of ln x
735 video 15.3: exploring derivative of ln
736 Autograph Product Rule 1
737 Autograph Product Rule 2745 pdf Exercise 15.3 Worked Solutions
752 pdf Exercise 15.4 Worked Solutions
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752 pdf 15.3 Implicit Differentiation Answers
752 pdf 15.3 Implicit Differentiation Quiz
753 video 15.5: using minimum function
755 video 15.5: Example - finding minimum length
756 video 15.5: checking endpoints
757 video 15.5: mininum function vs derivative
761 pdf Exercise 15.5 Worked Solutions
761 pdf Chapter 15 Summary
770 pdf Chapter 15 Practice Question Solutions
770 pdf Chapter 15 Test
773 pdf 16.1 Example integrals
775 pdf 16.1 Example integrals 2
779 pdf 16.1 Example integrals 3
781 pdf Exercise 16.1 Worked Solutions
784 pdf 16.2 Example integrals
786 pdf 16.2 Example integrals 2
787 pdf Exercise 16.2 Worked Solutions
787 pdf 16.2 Example two definite integrals792 pdf 16.3 Example integrals
794 Quiz 16.1 Integration
794 pdf Exercise 16.3 Worked Solutions
794 pdf 16.1 Integration Techniques Answers
794 pdf 16.1 Integration Techniques Quiz
795 Autograph Area Function
795 Autograph Sum of Rectangles
809 pdf Exercise 16.4 Worked Solutions
810 pdf 16.5 Example partial fractions
812 Autograph Area Under Sine Curve
812 Autograph Designer Curve Area Investigation
812 Autograph Integration of Constant m
812 Autograph Integrating Powers of x
812 pdf Exercise 16.5 Worked Solutions
812 video 16.6: areas
813 Autograph Integration of cos kx
813 Autograph Integration of exp(kx)
813 Autograph Integration of the Line mx
813 Autograph Integration of 1/x
813 Autograph Integrating Over Zeroes
813 video 16.6: areas 2
814 pdf 16.6 Example areas
815 Autograph Area Between Curves816 video 16.6: areas 3
819 pdf Exercise 16.6 Worked Solutions
820 pdf 16.7 Example volumes
821 Autograph Volume of Revolution Slices
822 Autograph Volume of Revolution 1
822 Autograph Volume of Revolution 2
826 pdf Exercise 16.7 Worked Solutions
828 pdf 16.8 Example motion
835 pdf Exercise 16.8 Worked Solutions
835 pdf Applications Answers
835 pdf Applications Quiz
845 pdf Exercise 16.9 Worked Solutions845 pdf Chapter 16 Summary
853 pdf Chapter 16 Practice Question Solutions
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853 pdf Chapter 16 Test
862 pdf 17.1 Example random variables
864 video 17.1: Demonstration - variance and standard deviation
864 video 17.1: expected value
864 video 17.1: expected value 2
869 pdf Exercise 17.1 Worked Solutions
871 Autograph Binomial Distribution
871 video 17.2: Extra question - binomial distribution
872 pdf 17.2 Example binomial distribution
873 video 17.2: binomial distribution
874 video 17.2: binomial distribution 2
874 video 17.2: binomial distribution 3
876 video 17.2: binomial distribution 4
881 pdf Exercise 17.2 Worked Solutions
882 Autograph Data Sampling 2
884 pdf 17.3 Example Poisson distribution
884 video 17.3: poisson distribution
885 Autograph Poisson Distribution885 video 17.3: poisson distribution 2
886 Autograph Data Sampling 3
887 pdf 17.1 Discrete Distributions Answers
887 pdf 17.1 Discrete Distributions Quiz
889 pdf Exercise 17.3 Worked Solutions
896 pdf Example continuous distributions
901 pdf Exercise 17.4 Worked Solutions
902 video 17.5: normal distribution
904 Autograph Standard Normal Distribution
907 video 17.5: normal distribution 2
907 video 17.5: normal distribution 3
910 video 17.5: inverse normal
911 video 17.5: normal distribution 4
911 video 17.5: normal distribution 5
912 video 17.5: normal distribution 6
913 Autograph Parameters of the Normal Distribution
916 pdf Exercise 17.5 Worked Solutions
916 pdf Continuous Distributions Answers
916 pdf Continuous Distributions Quiz
916 pdf Chapter 17 Summary
916 pdf Chapter 17 Test
921 Quiz 17 Probability Distributions Interactive
921 pdf Chapter 17 Practice Question Solutions