A Level Further Maths
A Level Further Maths - Core - Video Tutorials
Chapter 1 - Complex Numbers
Ex1A - Complex Numbers in Exponential Form
Ex1B - Multiplying and Dividing Complex Numbers
Ex1D - Using De Moivre's Theorem to Prove Trigonometric Identities
Ex1E - Sum of Complex Number Series (part 1) - Worksheet
Ex1E - Sum of Complex Number Series (part 2) - Worksheet
Ex1F - nth Roots of Complex Numbers
Ex1G - Solving Geometric Series
Chapter 2 - Series
Ex2A - Series by Method of Differences
Ex2D - Composite Maclaurin Series
Chapter 3 - Methods in Calculus
Ex3B - Mean Value of a Function
Ex3C - Differentiating Inverse Trig Functions
Ex3D - Integrating with Trigonometric Substitution
Ex3E - Integrating with Partial Fractions
Chapter 4 - Volumes of Revolution
Ex4A/B - Volumes of Revolution about the x and y-axis
Ex4C - Volumes of Parametrically Defined Curves
Ex4D - Modelling with Volumes of Revolution
Chapter 5 - Polar Coordinates
Ex5A - Polar Coordinates and Equations
Ex5C - Integrating Polar Curves
Ex5D - Tangents to Polar Curves
Chapter 6 - Hyperbolic Functions
Ex6A - Introduction to Hyperbolic Functions
Ex6B - Inverse Hyperbolic Functions
Ex6C - Hyperbolic Equations and Identities
Ex6D - Differentiating Hyperbolics
Ex6E - Integrating Hyperbolics
Ex6E - Integrating using Hyperbolic Substitution
Chapter 7 - Differential Equations
Ex7A - First Order Differential Equations (part 1)
Ex7A - First Order Differential Equations (part 2)
Ex7B - 2nd Order Differential Equations
Ex7C - 2nd Order Differential Equations
Ex7D - D.E. using Boundary Conditions
Chapter 8 - Modelling with Differential Equations
Ex8A - Modelling with First Order Differential Equations