Topic 1 Exponential Functions
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Index Law 1 – multiplication of indices
Index Law 2 – dividing indices
Index Law 3 – raising to the power of zero
Index Law 4 – Raising a power to another power
Index Law 5 – worked examples using the fifth index law
Index Law 6 – expanding brackets around a fraction raised to a power
Index law 7 Negative Indices – converting Negative indices into positive indices using fractions
Index Laws Fractional indices
Index Laws Negative bases
Index Laws simplifying by decomposing
Scientific notation Converting to scientific notation
Scientific Notation Convert scientific notation to decimal
Scientific notation Multiplying and dividing
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
Topic 2: Arithmetic and Geometric Sequences and Series
Sequence Notation
Recurrence Relations
Using a recurrence relation
Defining a sequence in terms of n
Applications of recurrence relations
Applications of recurrence relations non arithmetic
Using a calculator with recurrence relations
Arithmetic sequence formula
Rearranging the arithmetic sequence formula
Arithmetic sequences using simultaneous equations
Arithmetic sequences and series
Simultaneous equations using arithmetic series and sequences
Application of the arithmetic sequence
Simple Interest using arithmetic sequences
The Middle Term as the arithmetic mean in an arithmetic sequence
Introduction to the Sum of an arithmetic series
Finding the number of terms in an arithmetic sequence
Arithmetic series Finding the number of terms that sum to a given number
Application of arithmetic series
Geometric sequences and the recursive definition
Geometric Sequence formula
Geometric sequences finding the common ratio
Geometric Sequences finding the value of n
Geometric Sequences and simultaneous equations
Geometric Sequences Geometric mean
Compound interest as a geometric sequence
Geometric series formula proof and example
Geometric series find the value of n
Regular deposits as a geometric series
Geometric Series Sum to Infinity and Zeno's Paradox
Geometric series sum to infinity application
Geometric Series Sum to infinity writing recurring decimals as fractions
Topic 3: 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
