a-level topics | farlingaye maths

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pure topics

proof
algebra and functions
coordinate geometry
sequences and series
trigonometry
exponentials and logarithms
differentiation
integration
numerical methods
vectors

statistics topics

sampling
data presentation
conditional probability
probability
statistical distributions
hypothesis testing

mechanics topics

kinematics
Newton's laws
statics

some lessons

Functions

1. the language of functions 1

2. the language of functions 2

3. the language of functions 3

4. composite functions 1

5. composite functions 2

6. inverse functions 1

7. inverse functions 2

Exponentials and logarithms

1. the logarithm as a process

2. the logarithm as a function

3. the natural logarithm

4. the laws of logarithms

5. solving equations with logarithms

6. modelling with logarithms

Sequences and series

1. sequences and series

2. arithmetic progressions

3. geometric progressions

Motion in a straight line

1. general motion using graphs

2. general motion using calculus

Circular motion

1. circular motion with constant speed

2. velocity, acceleration and centripetal force

3. conical pendulums and banked tracks 1

4. conical pendulums and banked tracks 2

Normal distribution

2. standard normal curve

3. standardising

5. using a calculator

6. finding parameters

7. using the normal

8. modelling discrete

9. sampling distribution

10. hypothesis testing

11. unknown variance

a mix of questions

Each of the following files contain approximately 6 questions covering pure, mechanics and statistics.

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