Stage 1 Mathematics
Functions and Graphs
Polynomials
Trigonometry
- Finding the area of non right-angled triangles using A = 1/2 abSinC
- The Cosine rule
- The Sine rule: finding sides
- The Sine rule: finding angles
- Properties of the Sine function
- Properties of the Cosine function
- The Tangent as y = sinx/cosx
Growth and Decay
The Natural Exponential & Logarithm Solving Exponential Equations
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Introduction to Calculus
PLEASE NOTE: While there are some videos below available now, others are still being made. Please be patient and check back later. Thanks.
Introduction to Differential Calculus
Introduction to Differential Calculus
- Introducing the concept of instantaneous rate of change
- Estimating the instantaneous rate of change
- Limits
- Gradient of a tangent at a particular point
- What is a derivative function?
- Finding the derivative function from first principles
- Simple rules of differentiation
- Finding equations of linear lines (gradient-point form)
- Finding the equation of a tangent
- Finding the equation of a tangent (from an external point)
- Finding the equation of a normal
- Increasing and decreasing functions
- Stationary points
- Displacement, velocity and acceleration
- Optimisation with differential calculus
Counting and Binomial Expansion
- Videos coming soon