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VCE Maths Methods Podcast

VCE Maths Methods Podcast
Author: Maths Methods
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© Copyright 2025 Maths Methods
Description
A summary of the topics covered in VCE Maths Methods Units 1 to 4.
Created by Justin Vincent at Warrnambool College.
Check out more: https://vcemathsmethods.com
35 Episodes
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Sample proportions, Sampling distribution - small populations, Sampling distribution - large populations, Sampling distribution - normal distribution approximation, Mean & variance of a sample proportion, Sampling distribution - comparing approximations, Mean & variance of the sample proportion, Confidence intervals, Margin of error
Probability density functions, Calculating probabilities, Median value, Mean value, Variance, Cumulative probability distributions
Area under curves,Left end-point approximation,Right end-point approximation,Improvements to rectangle approximations,Find the total from a rate
Transformations of parabolas, Graphing quadratics, Finding the equation of quadratics
Translations, Dilations (from the x axis), Dilations (from the y axis), Reflections (in the x axis), Reflections (in the y axis), Summary, Applying transformations, Finding equations from transformation (graphs), Finding equations from transformations (from points)
Intersection of lines - from a graph, Intersection of lines - substitution of equations, Simultaneous equations - elimination method, Simultaneous equations - matrix method, Families of parallel lines - no solutions, Infinite solutions, Example question
Inverse functions - graphsInverse functions - rulesInverse functions - from equationsFinding inverse functions - one to one.
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
The coin toss - three coinsThe coin toss - four coinsThe binomial probability distributionRolling diceHow many trials?Using the TI nSpireGraph of binomial distributionMean & standard deviation
Continuous probability density functionsThe normal distributionCalculating probabilitiesZ tablesFinding values from a probability
Probability distributionsDiscrete random variablesExpected values (mean)VarianceLinear functions - mean & standard deviationStandard deviation
Area under a curve - integrationCircular functionsExponential functionsHyperbolic functionsArea between two curvesAverage value of a function
Anti-differentiation of powers of xAnti-differentiation of circular functionsAnti-differentiation of exponential functionsAnti-differentiation of 1/x
Euler's Rule for Linear Approximations
Related rates of change
Finding derivatives using the product & quotient rules.
Finding the derivatives of circular functions (sin, cos or tan x).
Derivatives of logarithmic functions
Derivatives of exponential functions.
Using the chain rule to find derivatives.
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