AS Further Maths
AS Further Maths - Core - Contents
Chapter 1 - Complex Numbers
Ex1A/B - Intro to Complex Numbers
Ex1C - Multiplying Complex Numbers
Ex1E - Roots of Quadratic Equations
Ex1F - Solving Cubic and Quartics
Chapter 2 - Argand Diagrams
Ex2D - Multiplying and Dividing in Argument Modulus Form
Ex2E - Loci on an Argand Diagram (part 1)
Ex2E - Loci on an Argand Diagram (part 2)
Ex2F - Regions on an Argand Diagram
Chapter 3 - Series
Chapter 4 - Roots of Polynomials
Ex4D - Expressions Relating to Roots of Polynomials
Ex4E - Linear Transformations of Roots
Chapter 5 - Volumes of Revolution
Ex5A - Introduction to Volumes of Revolution
Ex5B - Volumes around the y-axis
Ex5C - Composite Volumes of Revolution
Ex5D - Modelling with Volumes of Revolution
Chapter 6 - Matrices
Ex6A - Introduction to Matrices
Ex6C - Determinants of Matrices
Ex6D - Inverse of 2x2 Matrices
Chapter 7 - Linear Transformations with Matrices
Ex7A - Representing Linear Transformations with Matrices
Ex7B - Matrix Transformation - Reflections and Rotations
Ex7D - Successive Transformations
Ex7E - Matrix Transformations in 3D
Ex7F - Inverse Transformations
Chapter 8 - Induction
Ex8A - Proof by Induction: Series
Ex8B - Proof by Induction: Divisibility
Ex8C - Proof by Induction: Matrices
Chapter 9 - Vectors
Ex9A - Introduction to Vectors
Ex9A - Cartesian Form of a Vector Line
Ex9B - Equations of a Plan in 3D
Ex9B - Cartesian Form of a Plane
Ex9D - Finding an Angle Between Two Lines
Ex9D - All Three Forms of a Plane
Ex9D - Angle Between a Line and a Plane
Ex9D - Angle Between Two Planes
Ex9E - Intersections of Vector Lines
Ex9E - Intersections of Lines and Planes
Ex9F - Shortest Distance Between Line and a Plane
Ex9F - Shortest Distance Between Two Parallel Lines
Ex9F - Shortest Distance Between Two Skewed Lines
Ex9F - Shortest Distance Between a Point and a Plane
Ex9F - Shortest Distance Between a Parallel Line and a Plane
Ex9F - Shortest Distance Between Two Planes
Ex9F - Reflecting a Point in a Line