A Level Mathematics for A Level- A Level Pure Mathematics (1, 2 & 3)
- A Level Differentiation- Limits & Derivatives
- A Level Differentiation- Continuity and Differentiability
- A Level Differential Equations
- A Level Mechanics
- A Level Probability and Statistics (1 & 2)
A Level Pure Mathematics (1, 2 & 3)- Algebraic expressions and functions
- Quadratic functions
- Equations and inequalities
- Graphs and transformations
- Coordinate geometry
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Numerical methods
- Vectors
A Level Differentiation- Limits & Derivatives- Introduction to limits
- Properties of limits
- One-sided limits
- Techniques for finding limits
- Definition of derivative
- Differentiation rules and formulas
- Chain rule
- Implicit differentiation
- Higher-order derivatives
- Applications of derivatives
A Level Differentiation- Continuity and Differentiability- Continuity of functions
- Differentiability of functions
- Rolle's theorem
- Mean value theorem
- Curve sketching using differentiation
- Optimization problems using differentiation
- Related rates problems
A Level Differential Equations- Introduction to differential equations
- First-order differential equations
- Second-order differential equations
- Homogeneous and non-homogeneous differential equations
- Systems of differential equations
- Applications of differential equations
A Level Mechanics- Introduction to mechanics
- Kinematics
- Forces and Newton's laws of motion
- Linear momentum and collisions
- Work, energy, and power
- Circular motion and gravitation
- Simple harmonic motion
- Elasticity
- Hydrostatics and fluid mechanics
A Level Probability and Statistics (1 & 2)- Probability
- Discrete random variables and probability distributions
- Continuous random variables and probability distributions
- Sampling and estimation
- Hypothesis testing
- Correlation and regression analysis
- Probability distributions for multivariate data
- Probability generating functions
- Markov chains
Overall, this A Level Mathematics syllabus covers a wide range of topics in pure mathematics, differentiation, differential equations, mechanics, and probability and statistics. It provides students with a strong foundation in mathematical concepts and problem-solving skills, preparing them for further studies in mathematics or related fields.
This course is helpful for the following exams: Year 13, A Level