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...
