## Course curriculum

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### Chapter 1: Lots of Logarithms

• Logarithmic functions (Unit 3 Topic 1)

• 1.1 Log Laws

• 1.2 Sketching Logs

• 1.3 Applications of Logs

• Logarithmic functions (Unit 3 Topic 1)

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### Chapter 3: Applications of Derivatives

• Applications of Differentiation (Unit 3 Topic 2)

• 3.1 Tangents and Normals

• 3.2 Differentiation and rates of change (Part 1)

• 3.2 Differentiation and rates of change (Part 2)

• 3.3 Differentiation and one-dimensional motion (Part 1)

• 3.3 Differentiation and one-dimensional motion (Part 2)

• 3.4 Stationary Points

• 3.5 Differentiation and sketching functions

• Applications of Differentiation (Unit 3 Topic 2)

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### Chapter 4: Integration

• Indefinite Integrals (Unit 3 Topic 3)

• 4.1 Introduction to Indefinite Integrals

• 4.2 Integrating polynomials, exponentials and logs

• 4.3 Integrating trigonometric functions

• 4.4 Integration by Recognition

• 4.5 Integrals and motion in one-dimension

• Indefinite Integrals (Unit 3 Topic 3)

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### Chapter 5: Applications of Integration

• Definite Integrals (Unit 3 Topic 3)

• 5.1 Estimating area under curves

• 5.2 Using definite integrals to determine area under curves

• 5.3 Area between two functions

• 5.4 Average value of a function

• 5.5 Definite integrals and one-dimensional motion

• 5.6 Definite integrals and rates of change

• Definite Integrals (Unit 3 Topic 3)

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### Chapter 6: Optimisation using Derivatives

• Second Derivative and optimisation (Unit 4 Topic 1)

• 6.1 Second derivatives and sketching functions

• 6.2 Optimisation

• 6.3 Optimisation on an interval

• 6.4 Optimisation involving geometry

• Second Derivative and Optimisation (Unit 4 Topic 1)

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### Chapter 7: Trigonometry

• Trigonometry (Unit 4 Topic 2)

• 7.0 Revision of Trigonometry

• 7.1 Congruency

• 7.2 Sine Rule (part 2 - combine with other)

• 7.2 Sine Rule (part 2 - combine with other)

• 7.3 Cosine Rule

• 7.4 Area of Triangles

• 7.5 Angles of depression and elevation

• 7.6 Bearings

• 7.7 3D Trigonometry

• Trigonometry (Unit 4 Topic 2)

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### Chapter 8: Binomial Probability

• Discrete random variables (Unit 4 Topic 3)

• 8.1 Binomial Probability

• 8.2 Mean, variance, and solving for sample size

• Discrete random variables (Unit 4 Topic 3)

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### Chapter 9: Probability Density Functions

• Continuous random variables (Unit 4 Topic 4)

• 10.1 Introduction to continuous random variables

• 10.2 Histograms

• 10.3 Probability Density Function

• 10.4 Evaluating Limits with PDFs

• 10.5 Percentiles with PDFs

• 10.6 Mean and Variance of PDFs

• 10.7 Cumulative Distribution Function

• Continuous random variables (Unit 4 Topic 4)

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### Chapter 10: Probability & Normal Distribution

• The normal distribution (Unit 4 Topic 4)

• 10.1 Introduction to the normal distribution

• 10.2 Finding normal probabilities

• 10.3 Finding z-values

• 10.4 Applications of the normal distribution

• The normal distribution (Unit 4 Topic 4)

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### Chapter 11: Sampling Probability

• Sampling and estimation (Unit 4 Topic 5)

• 11.1 Introduction to Sampling

• 11.2 Defining variables for sampling

• 11.3 Sample proportions using combinations (Part 1)

• 11.3 Sample proportions using combinations (Part 2)

• 11.4 Sample proportions with binomial approximation

• 11.5 Sample proportions with normal approximation

• 11.6 Confidence Intervals

• 11.7 Confidence vs Probability

• 11.8 Finding the sample size

• 11.9 Deriving sample proportion formulae

• 11.10 Deriving confidence interval formula

• Sampling and estimation (Unit 4 Topic 5)

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### BONUS CONTENT: Practice Exams and Worksheets 💯

• Tech Free Practice Exam

• Tech Free Practice Exam - Answers

• Tech Active Practice Exam

• Tech Active Practice Exam - Answers

• WORKSHEET - points of inflection

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### Exam Preparation 🧑‍🎓

• Exam Preparation 🧑‍🎓