TCE Mathematics Methods Level 4 Notes

These are the 20 revision notes inside the TCE Mathematics Methods Mastery Pack. Open any note to see what it covers before you buy.

1. Function notation, domains and rangesArea of study 1 · Function study

   Function notation, domains and ranges

2. Polynomial factorisation, binomial expansion and graph featuresArea of study 1 · Function study

   Polynomial factorisation, binomial expansion and graph features

3. Exponential and logarithmic functions and modellingArea of study 1 · Function study

   Exponential and logarithmic functions and modelling

4. Transformations, composites, inverses and piecewise functionsArea of study 1 · Function study

   Transformations, composites, inverses and piecewise functions

5. Radians, the unit circle and exact valuesArea of study 2 · Circular functions

   Radians, the unit circle and exact values

6. Trigonometric identities and symmetryArea of study 2 · Circular functions

   Trigonometric identities and symmetry

7. Circular graphs, transformations and equationsArea of study 2 · Circular functions

   Circular graphs, transformations and equations

8. Periodic modelling and interpretationArea of study 2 · Circular functions

   Periodic modelling and interpretation

9. Limits, first principles and differentiabilityArea of study 3 · Differential calculus

   Limits, first principles and differentiability

10. Product, quotient and chain rulesArea of study 3 · Differential calculus

    Product, quotient and chain rules

11. Tangents, normals and derivative graphsArea of study 3 · Differential calculus

    Tangents, normals and derivative graphs

12. Stationary points, optimisation and motionArea of study 3 · Differential calculus

    Stationary points, optimisation and motion

13. Antiderivatives and boundary conditionsArea of study 4 · Integral calculus

    Antiderivatives and boundary conditions

14. Definite integrals and the fundamental theoremArea of study 4 · Integral calculus

    Definite integrals and the fundamental theorem

15. Areas under and between curvesArea of study 4 · Integral calculus

    Areas under and between curves

16. Recovering functions and modelling displacementArea of study 4 · Integral calculus

    Recovering functions and modelling displacement

17. Discrete random variables, expectation and varianceArea of study 5 · Probability and statistics

    Discrete random variables, expectation and variance

18. Binomial distributions and modelling assumptionsArea of study 5 · Probability and statistics

    Binomial distributions and modelling assumptions

19. Normal probabilities, quantiles and inverse parametersArea of study 5 · Probability and statistics

    Normal probabilities, quantiles and inverse parameters

20. Sample proportions and confidence intervalsArea of study 5 · Probability and statistics

    Sample proportions and confidence intervals