Core pure maths - CP1 & CP2
Core pure maths - CP1 & CP2
Complex numbers
Complex numbers
Vectors
Vectors
Note
Note
Finding normal of a plane without cross product
Problem solving examples
Shortest distance from a point to a line
Distance from a point to a plane
Distance between parallel planes
Reflection of a point in a plane
Shortest distance between two skew lines
Angle between two adjacent planes of a tetrahedron
Shortest distance between a line and a plane that parallel
line equation reflected by a plane
Line of intersection between 2 planes (using 2 points)
Line equation between 2 planes (convert Cartesian to vector form)
Exercise
Exercise
Roots of polynomial
Roots of polynomial
Matrices
Matrices
Note
Note
General rules for Matrix algebra
Inverse a 3x3 by row reduction *Not in syllabus, but interesting method
Proof of linear transformations
Geometrical interpretation of 3 planes
Determinant (old questions) Solutions
Series
Series
Note
Note
Maclaurin & Taylor series video
Visualizations from graphs of adding extra terms for a Taylor series
Proof by induction
Proof by induction
Hyperbolic functions
Hyperbolic functions
Exercise
Exercise
Polar coordinates
Polar coordinates
Exercise
Exercise
Calculus
Calculus
Exercise
Exercise
Differentiating Inverse Trig/Hyperbolic functions
1st order DE ver 2 Solutions (very easy)
DE HW 2 Solutions (10questions)
Integration
Integration
mean values of functions solutions
mean values of functions 2 solutions
(13questions)
(13questions)
(by substitution)
(by substitution)
Improper integrals version2 solutions
Reviewed exercises
Reviewed exercises
Review Exercises Book 1
Review Exercises Book 2
Mixed practice A Question paper ANS
Mapping - Complex numbers, roots of polynomials, Matrices, Hyperbolic functions, Maclaurin series
Mixed practice B Question paper ANS
Mapping - Complex numbers, roots of polynomials, Matrices, Hyperbolic functions, Maclaurin series, Sum of series, Proof by inductions
Mixed practice C Question paper ANS
Mapping - Differential equations, integrations
Mixed practice D Question paper Hint ANS
Mapping - Complex numbers, Proof by induction, roots of polynomials, vectors and Sum of series
Mixed practice E Question paper ANS
Mapping - Complex numbers, Maclaurin series, Differential equations, Sum of series
Mixed practice J Question paper ANS
Mapping - Complex numbers, Vectors, proof by induction, Sum of series, Matrices.
Mixed practice K Question paper ANS
Mapping - Complex numbers, Vectors, proof by induction, Sum of series, Matrices, Maclaurin series. (Difficulty level: MEDIUM/HARD)
Mixed practice L Question paper ANS
Mapping - Vectors, Matrices (Difficulty level: EASY)
Mixed practice M Question paper ANS
Mapping - Complex numbers, roots of polynomial, matrices, proof by induction (Difficulty level: MEDIUM)
Mixed practice N Question paper ANS
Mapping - Complex numbers, vectors, proof by induction
(Difficulty level: HARD)
Mixed practice O Question paper ANS
Mapping - inverse trig/hyperbolic functions, differential equations, polar coordinates, volumes. . (Difficulty level: CHALLENGING)
Integral website
Integral website
Further Pure maths - FP1 & FP2
Further Pure maths - FP1 & FP2
Exercises
Exercises
Further mechanics - FM1 & FM2
Further mechanics - FM1 & FM2
Exercises
Exercises
Exercises
Exercises
Ch3 elastic string & spring Solutions
Reviewed exercise Solutions (M3 book)
Homework
Homework
Elastic string/spring Solutions
Collisions 2D version 2 Solutions alternate solutions
Integral website
Integral website
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