Texbooks

Pure maths year 1 (Full)

1. Algebraic expressions

2. Quadratics

3. Equations and inequalities

4. Graphs and transformations

5. Straight line graphs

6. Circles

7. Algebraic methods

8. The binomial expansion

9. Trigonometric ratios

10. Trig identities and equations

11. Vectors

12. Differentiation

13. Integration

14. EXP and logs

15. reviewed exercises

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Pure maths year 2 (Full)

1. Algebraic methods

2. Functions

3. Sequences

4. Binomial expansion

5. Radians

6. Trig functions

7. Trig and modelling

8. Parametric equations

9. Differentiation

10. Numerical methods

11. Integration

integration as a limit of a sum

12. Vectors

13. Reviewed exercises

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Stats and Mech year 1 (full) Reviewed exercises

1. data collection

2. measures of location and spread

3. representation of data

4. correlations

5. probability

6. statistical distributions

7. hypothesis testing

8. modelling in mechanics

9. constant acceleration

10. force and motions

11. variable acceleration

Stats and Mech year 2 (full) Reviewed exercises

1. regression, correlations

2. conditional probabilities

3. normal distribution

4. moment

5. force and frictions

6. projectiles

7. applications of forces

8. further kinematics

Core Pure 1

1. Complex numbers

2. Argand diagrams

3. Series

4. Roots of polynomials

5. Volumes

6. Matrices

7. Linear transformations

8. Proof by induction

9. Vectors

Core Pure 2

1. Complex numbers

2. Series

3. Methods in calculus

4. Volumes

5. Polar coordinates

6. Hyperbolic functions

7. Methods in DE

8. Modelling in DE

Further Pure 1 (full)

1. Vectors

2. Conics sections 1

3. Conics sections 2

4. Inequalities

5. The t formulae

6. Taylor series

7. method s in calculus

8. Numerical methods

9. Reducible differential equations

Further Pure 2

Further Mechanic 1 (full)

1. Momentum and impulse

2. Work, energy and power

3. Elastic string and spring

4. Elastic collisions in one dimension

5. Elastic collisions in two dimensions

Further Mechanic 2

Further Statistics1

Further Statistics2

Decision 1

Decision 2

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Floyd's Algorithm

Simplex Algorithm