Fundamental Units What are fundamental units? Fundamental units or S.I. units are the international standardised units used around the world The three main units you will be using are: Length measu...
Scalars & Vectors Mechanics uses a variety of different scalar and vector quantities. What are scalars? Scalars are quantities without direction, they only have a size (magnitude) e.g. a speed ...
Proof by Induction - Sequences What are the steps for proof by induction with sequences? STEP 1: The basic step Show the result is true for the base case If the recursive relation formula for the n...
Intro to Proof by Induction What is proof by induction? Proof by induction is a way of proving a result is true for a set of integers by showing that if it is true for one integer then it is true f...
Damped or Forced Harmonic Motion What is damped harmonic motion? If we add a term representing a resistive force to the simple harmonic motion equation, the new equation describes a particle underg...
Simple Harmonic Motion (SHM) Equations What is simple harmonic motion? A particle undergoing simple harmonic motion moves along a straight line subject to the following constraints: The acceleratio...
Coupled First Order Linear Equations What are coupled first order linear differential equations? Coupled first order linear differential equations are a pair of simultaneous differential equations ...
Second Order Differential Equations What is a second order differential equation? A second order differential equation is an equation containing second order derivatives (and possibly first order d...
Modelling using First Order Differential Equations Why are differential equations used to model real-world situations? A differential equation is an equation that contains one or more derivatives D...
