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Functions & Relations Podcast Transformation of functions Unit 1 Unit 3

Inverse Functions

  • Inverse functions – graphs
  • Inverse functions – rules
  • Inverse functions – from equations
  • Finding inverse functions – one to one.

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Circular Functions Podcast Unit 2

Graphs of circular functions

  • Values of sin x , cos x & tan x,
  • Graphs of sin x & cos x,
  • Transformations of sin graphs,
  • Solving circular function equations,
  • Graphs of tan x

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Podcast Probability distributions Unit 4

The binomial distribution

  • The coin toss – three coins
  • The coin toss – four coins
  • The binomial probability distribution
  • Rolling dice
  • How many trials?
  • Using the TI nSpire
  • Graph of binomial distribution
  • Mean & standard deviation

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Podcast Probability distributions Unit 4

The normal distribution

  • Continuous probability density functions
  • The normal distribution
  • Calculating probabilities
  • Z tables
  • Finding values from a probability

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Podcast Probability distributions Unit 4

Discrete probability distributions

  • Probability distributions
  • Discrete random variables
  • Expected values (mean)
  • Variance
  • Linear functions – mean & standard deviation
  • Standard deviation

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Integration Podcast

Definite integrals

  • Area under a curve – integration
  • Circular functions
  • Exponential functions
  • Hyperbolic functions
  • Area between two curves
  • Average value of a function

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Calculus Differentiation Podcast Unit 2 Unit 4

Differentiation

  • Differentiation by first principles
  • Differentiation of polynomials
  • Examples of derivative functions & gradients
  • Graphs of derivative functions
  • Tangents
  • Normal lines
  • Finding stationary points

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Probability Probability distributions Unit 4

Six Dice One-Roll Yahtzee (in super slow motion) – Numberphile

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Integration Podcast Unit 4

More integration

  • Anti-differentiation of powers of x
  • Anti-differentiation of circular functions
  • Anti-differentiation of exponential functions
  • Anti-differentiation of 1/x

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(Previous Study Design) Differentiation Podcast

Euler’s Rule for Linear Approximations


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