Course curriculum

  • 2

    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)

  • 4

    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)

  • 5

    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)

  • 6

    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)

  • 7

    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)

  • 8

    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)

  • 9

    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)

  • 10

    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)

  • 11

    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)

  • 12

    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)

  • 13

    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

  • 14

    Exam Preparation 🧑‍🎓

    • Exam Preparation 🧑‍🎓