A Level

A-Level Course Material

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A-Level
A-Level
A-Level Course Material
Pure Mathematics
Statistics
Mechanics
Chapters:
Contents
Preface
1. Nature of Mathematics
2. Using Graphs
3. Functions
4. Graph Transforms
5. Solving Problems
6. Extending Algebra
7. Straight Lines
8. Rates of Change
9. Powers
10. Trigonometry
11. Growth and Decay
12. Integration
13. Sequences and Series
14. Further Calculus
15. Further Trigonometry
16. Data Analysis
17. Cartesian Geometry
18. Even more Calculus
19. Iteration
20. Probability
21. Mathematical Modelling
Appendix
Answers  P
Index
Chapters:
Contents
Preface
1. Probability
2. Data Collection
3. Descriptive Statistics
4. Discrete Probaility Distributions
5. Binomial Distribution
6. Poisson Distributions
7. Continuous Probability Distributions
8. The Normal Distribution
9. Estimation
10. Hypothesis Testing
11. Chi-Squared
12. Correlation and Regression
Answers  P
Index
Chapters:
Contents
Preface
1. Modelling and Mechanics
2. One-Dimensional Motion
3. Vectors 1
4. Vectors 2
5. Projectiles
6. Work and Energy
7. Circular Motion
8. Simple Harmonic Motion
9. Physical Structures
Answers  P
Index

 

Further Pure Mathematics
Further Statistics
Discrete Mathematics
Chapters:
Contents
Preface
1. Trigonometry
2. Hyperbolic Functions
3. Complex Numbers
4. Vectors
5. Vector Geometry
6. Sequences and Series
7. Properties of Curves
8. Further Calculus
9. Matrices and Transformations
Answers  P
Index
Chapters:
Contents
Preface
1. Continuous Probability Distributions
2. Estimation
3. Hypothesis Testing: One Sample Tests
4. Hypothesis Testing: Two Sample Tests
5. Goodness of Fit Tests
6. Experimental Design
7. Analysis of Variance (Anova)
8. Statistical Process Control
9. Acceptance Sampling
Answers  P
Index
Chapters:
Contents
Preface
1. Graphs
2. Travel Problems
3. Enumeration
4. Inequalities
5. Linear Progamming
6. Planar Graphs
7. Network Flows
8. Codes in Everyday Use
9. Theory of Codes
10. Logic
11. Boolean Algebra
12. Critical Path Analysis
13. Scheduling
14. Difference Equations 1
15. Difference Equations 2
Appendix
Answers  P
Index
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