PMT provides excellent, concise, chapter-by-chapter summaries.ย
1. Algebraic Expressions
2. Quadratics
3. Equations & Inequalities
4. Graphs
5. Straight Line Graphs
6. Circles
7a. Algebraic Methods
7b. Proof
8. Binomial Expansion
9. Trig Ratios
10. Trig Identities
11. Vectors
12. Differentiation
13. Integration
14. Exponentials & Logs
1. Data Collection
2. Location & Spread
3. Representations of Data
4. Correlation
5. Probability
6. Statistical Distributions
7. Hypothesis Testing
8. Modelling in Mechanics
9. Constant Acceleration
10. Forces & Motion
11. Variable Acceleration
1. Algebraic Methods
2. Functions & Graphs
3. Sequences & Series
4. Binomial Expansion
5. Radians
6. Trig Functions
7. Trig & Modelling
8. Parametric Equations
9. Differentiation
10. Numerical Methods
11. Integration
12. Vectors
1. Regression, Correlationย
2. Conditional Probability
3. Normal Distribution
4. Moments
5. Forces & Friction
6. Projectile Motion
7. Applications of Forces
8. Further Kinematics
1. Complex Numbers
2. Argand Diagrams
3. Series
4. Roots of Polynomials
5. Volumes of Revolution
6. Matrices
7. Linear Transformations
8. Proof by Induction
9. Vectors
1. Vectors
2. Conic Sections 1
3. Conic Sections 2
4. Inequalities
5. The t-Formulae
6. Taylor Series
7. Methods in Calculus
8. Numerical Methods
9. Reducible Differential Equations
1. Discrete Random Variables
2. Poisson Distribution
3. Geometric & NB Distributions
4. Hypothesis Testing
5. Central Limit Theorem
6. Chi-Squared Tests
7. Probability Generating Functions
8. Quality of Tests
1. Momentum & Impulse
2. Work, Energy & Power
3. Elastic Strings & Springs
4. Elastic Collisions in 1D
5. Elastic Collisions in 2D
2. Series
3. Methods in Calculus
4. Volumes of Revolution
5. Polar Coordinates
6. Hyperbolic Functions
7. Differential Equations
8. Modelling with Differential Equations
1. Number Theory
2. Groups
3. Complex Numbers
4. Recurrence Relation
5. Matrix Algebra
6. Integration Techniques
1. Linear Regression
2. Correlation
3. Continuous Distributions
4. Variable Combinations
5. Estimation, Confidence Intervals and Tests
6. Hypothesis Tests
7. Confidence Intervals and t-Distribution Tests
1. Circular Motion
2. Centres of Mass
3. More Centres of Mass
4. Kinematics
5. Dynamics