QCE Mathematical Methods Units 3&4 Notes

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

1. Exponential and Logarithmic Derivatives3 · Differentiation of exponential and logarithmic functions

   Derivatives and laws

2. Derivatives of Trigonometric Functions3 · Differentiation of trigonometric functions and differentiation rules

   Trigonometric derivatives

3. Chain, Product and Quotient Rules3 · Differentiation of trigonometric functions and differentiation rules

   Chain, product and quotient rules

4. Stationary Points, Concavity and Points of Inflection3 · Further applications of differentiation

   Stationary points, concavity and inflection

5. Rates of Change and Kinematics3 · Further applications of differentiation

   Kinematics and rates of change

6. Optimisation Using Calculus3 · Further applications of differentiation

   Optimisation

7. Antidifferentiation: Polynomials, Exponential, Log and Trig3 · Introduction to integration

   Introduction to integration

8. Definite Integrals and Signed Area3 · Introduction to integration

   Definite integrals and area

9. Integration Applied to Motion3 · Introduction to integration

   Integration in kinematics

10. Binomial Distribution: Probability, Mean and Variance3 · Discrete random variables

    Binomial distribution

11. Discrete Probability Distributions and Expected Value3 · Discrete random variables

    Discrete probability distributions

12. Area Between Curves and Numerical Integration4 · Further integration

    Area between curves and trapezoidal rule

13. Sine Rule, Cosine Rule and Triangle Area4 · Trigonometry

    Sine rule, cosine rule and triangle area

14. Bearings, Elevation and 3D Geometry4 · Trigonometry

    Bearings and 3D geometry

15. Continuous Random Variables and PDFs4 · Continuous random variables and the normal distribution

    Continuous random variables and the normal distribution

16. Normal Distribution: z-Scores, Probabilities and Inverse Normal4 · Continuous random variables and the normal distribution

    Normal distribution

17. Sampling Distribution of the Sample Proportion4 · Sampling and proportions

    Distribution of sample proportions

18. Confidence Intervals for a Population Proportion4 · Interval estimates for proportions

    Confidence intervals

19. Margin of Error and Required Sample Size4 · Interval estimates for proportions

    Margin of error and sample size

20. Integration of Derivative Functions and Area Interpretation4 · Further integration

    Further integration