Topic 1 & 2: Exponential & Logarithmic Functions
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Exponential Functions Basic shape and Translations
Exponential Functions Dilations
Exponential functions 2 Sketching
Exponential functions sketching part 2
Exponential functions 3 Finding equation from a sketch
Exponential Model and Applications
Logs 1 Intro to Logarithms
Solving Indicial equations
Harder Indicial Equations
Indicial equations super hard quadratic action
Indicial equations The hardest one
Topic 3: Trigonometric Functions
Introduction to Radians
Converting Radians to Degrees and Degrees to Radians
Radians quick angles
Standard triangles
The Unit Circle
The Unit Circle The Tan Ratio
The Unit Circle and Symmetry
The unit circle CAST and why CAST works
Finding exact trig ratios involving negative angles
Finding exact values of trig ratios around the unit circle
The Unit Circle Finding exact values of negative trig ratios
The unit circle Boundary angles
The unit circle solving unknown angles
Solving Simple Trig Equations Worksheet (worksheet in Description)
The unit circle solving unknowns in trig equations
Pythagorean identity
Pythagorean identity rearrangement
Using Pythagorean Identities Part 1
Solving trig identity equations using quadratics
Solving trig identity equations using quadratics part 2
Sketching SinX and CosX
Sketching y = AsinX and AcosX
Sketching y = AsinX +D and AcosX + D
Sketching y = AsinBx + D or y = AcosBx +D
Sketching y = AsinB(x+C)+D
Finding the equation of a periodic function from a graph or sketch
Revision of radians and the unit circle
Solving and simplifying using trig identities
Solving Trig equations The Tricky 3 Quantum of Quadratics
Solving Trig equations The Tricky 3 Square or Die
Solving Trig equations The Tricky 3 Domain Domination
Sketching f(x) = tan(x) and why it looks like that.
Topic 4: Introduction to Differential Calculus
Variable and constant rates of change
Average rates of change
Intro to instantaneous rates of change
The Gradient function
Differentiation from first principles
Differentiating polynomials by rule
Finding Stationary points
Nature of Stationary points
Optimisation when the function is unknown
Introduction to Kinematics
Finding the equation of a tangent
Finding the equation of a normal
Topic 5: Further Differentiation and Applications 1
Derivatives of polynomials, negative and fractional powers by rule
Composite functions and the chain rule
The chain rule the fast way
The product rule
The quotient rule
Topic 6: Discrete Random Variables 1
Discrete Random Variables: Introduction and Examples
Discrete Random Variables Uniform Distribution
Discrete Random Variable Worked Example
The Geometric Probability Distribution
Expected Value of discrete random distributions
Discrete random distributions Expected value challenging but important
Variance and Standard Deviation
Properties of Expected Value: aE(X)+b = E(aX + b)
The alternative Variance formula Proof
Alternative Variance Formula Worked Example
