This product includes a copy of Pearson General Mathematics Queensland 12 Student Book with access to the eBook and 1 copy of the Exam Preparation Workbook.
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UNIT THREE
1 Derivatives of exponential functions
1.1 Euler's number and index laws
1.2 Graphing exponential functions
1.3 Differentiating exponential functions
1.4 Applications of exponential functions
1.5 Further differentiation
Chapter summary
Chapter review
2 Trigonometric functions and derivatives
Recall
2.1 Radians and the unit circle
2.2 Solving trigonometric equations
2.3 Graphs of trigonometric functions
2.4 Derivatives of trigonometric functions
2.5 Applications of trigonometric functions
Chapter summary
Chapter review
3 Logarithmic functions and their derivatives
Recall
3.1 Logarithmic functions and their properties
3.2 Logarithmic equations
3.3 Logarithmic bases and exponential equations
3.4 Graphs of logarithmic functions
3.5 Logarithmic scales
3.6 The derivative of the natural logarithm
3.7 Applications of logarithms
Chapter summary
Chapter review
Mixed Review
Chapters 1 - 3
4 Anti-differentiation
Recall
4.1 Introduction to anti-differentiation
4.2 Anti-differentiation of power functions
4.3 Anti-differentiation of binomial power functions
4.4 Anti-differentiation of exponential functions
4.5 Anti-differentiation of sine and cosine functions
4.6 Anti-derivatives of reciprocal functions
4.7 Further anti-differentiation
Chapter summary
Chapter review
5 Definite integrals
Recall
5.1 Estimating area beneath curves
5.2 Finding definite integrals
5.3 Calculating area beneath curves
5.4 Finding area between curves
5.5 Kinematics applications of integration
Chapter summary
Chapter review
Unit 3 Exam Review
Chapters 1 - 5
UNIT FOUR
6 Further applications of differentiation
Recall
6.1 The derivative and curve sketching
6.2 Motion and derivatives
6.3 The second derivative and curve sketching
6.4 Maximum and minimum problems
Chapter summary
Chapter review
7 Sine and Cosine rules
Recall
7.1 Trigonometry review
7.2 The sine rule and the cosine rule
7.3 Areas of triangles
7.4 Bearings
Chapter summary
Chapter review
8 Binomial distributions
Recall
8.1 Discrete probability distributions review
8.2 Bernoulli trials and binomial distributions
8.3 Statistics of binomial probability distributions
Chapter summary
Chapter review
Mixed Review
Chapters 1 - 8
9 Continuous random variables and the normal distribution
Recall
9.1 Continuous random variables
9.2 The normal distribution
9.3 Standard normal distributions
9.4 Inverse of standard normal
Chapter summary
Chapter review
10 Interval estimates for proportions
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