VCE Maths Methods Podcast

VCE Maths Methods Podcast episodes:

• 09.10.2016

  Episode 35: Episode 35 - Sampling & populations

  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...

  
• 09.10.2016

  Episode 34: Episode 34 - Continuous probability distributions

  Probability density functions, Calculating probabilities, Median value, Mean value, Variance, Cumulative probability distributions

  
• 08.12.2016

  Episode 33: Episode 33 - Approximating areas under curves

  Area under curves,Left end-point approximation,Right end-point approximation,Improvements to rectangle approximations,Find the total from a rate

  
• 04.16.2016

  Episode 32: Episode 32 - Quadratic graphs

  Transformations of parabolas, Graphing quadratics, Finding the equation of quadratics

  
• 03.31.2016

  Episode 31: Episode 31 - Transformation of functions

  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)

  
• 02.25.2016

  Episode 30: Episode 30 - Simultaneous equations

  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

  
• 02.15.2016

  Episode 29: Episode 29 - Inverse functions

  Inverse functions - graphsInverse functions - rulesInverse functions - from equationsFinding inverse functions - one to one.

  
• 12.31.2015

  Episode 28: Episode 28 - 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

  
• 10.04.2015

  Episode 27: Episode 27 - The binomial probability distribution

  The coin toss - three coinsThe coin toss - four coinsThe binomial probability distributionRolling diceHow many trials?Using the TI nSpireGraph of binomial distributionMean & standard deviation

  
• 09.20.2015

  Episode 26: Episode 26 - The normal distribution

  Continuous probability density functionsThe normal distributionCalculating probabilitiesZ tablesFinding values from a probability

  
• 09.17.2015

  Episode 25: Episode 25 - Discrete probability distributions

  Probability distributionsDiscrete random variablesExpected values (mean)VarianceLinear functions - mean & standard deviationStandard deviation

  
• 08.01.2015

  Episode 24: Episode 24 - Definite integrals

  Area under a curve - integrationCircular functionsExponential functionsHyperbolic functionsArea between two curvesAverage value of a function

  
• 07.24.2015

  Episode 23: Episode 23 - More Integration

  Anti-differentiation of powers of xAnti-differentiation of circular functionsAnti-differentiation of exponential functionsAnti-differentiation of 1/x

  
• 07.03.2015

  Episode 22: Episode 22 - Euler's Rule for Linear Approximations

  Euler's Rule for Linear Approximations

  
• 06.22.2015

  Episode 21: Episode 21 - Related rates of change

  Related rates of change

  
• 05.11.2015

  Episode 20: Episode 20 - The product & quotient rules

  Finding derivatives using the product & quotient rules.

  
• 05.08.2015

  Episode 19: Episode 19 - Derivatives of circular functions

  Finding the derivatives of circular functions (sin, cos or tan x).

  
• 05.03.2015

  Episode 18: Episode 18 - Derivatives of logarithmic functions

  Derivatives of logarithmic functions

  
• 05.03.2015

  Episode 17: Episode 17 - Derivatives of exponential functions

  Derivatives of exponential functions.

  
• 05.01.2015

  Episode 16: Episode 16 - The chain rule

  Using the chain rule to find derivatives.

  
• 04.20.2015

  Episode 15: Episode 15 - Binomial expansion

  Expanding polynomials with repeated factors using the binomial expansion. Includes a quick introduction to combinations.

  
• 04.19.2015

  Episode 14: Episode 14 - Modelling with exponential and logarithmic functions

  Finding the equation of an exponential or logarithmic equation based on the points and asymptotes.

  
• 08.06.2013

  Episode 13: Episode 13 - Integration

  Find the total from a rate, Anti-differentiation, Rules for anti-differentiation, Examples of anti-derivative functions, Finding the original function, Area under a curve - integration, Signed area

  
• 06.22.2013

  Episode 12: Episode 12 - Functions & Relations

  Relations, Set rules & symbols, Sets of numbers, Sets & intervals, Functions, Relations, Function notation, Hybrid functions, Hyperbola, Truncus, Square root, Circles, Inverse functions

  
• 10.15.2011

  Episode 11: Episode 11 - Probability

  Probability, Tree diagrams, Lattice diagrams, Venn diagrams, Karnough maps, Probability tables, Union & intersection rules, Conditional probability, Markov chains

  
• 10.01.2011

  Episode 10: Episode 10 - Matrix Operations

  Introduction to matrices , Addition & subtraction, Scalar multiplication, Matrix multiplication, The unit matrix, Matrix division - the inverse matrix, Using matrices.

  
• 09.07.2011

  Episode 9: Episode 9 - Differentiation

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

  
• 09.04.2011

  Episode 8: Episode 8 - Rates of change

  Rates of change, Average rate of change, Instantaneous rates of change, Rates of change from graphs, Graphs of motion

  
• 07.30.2011

  Episode 7: Episode 7 - Circular functions & angles

  Radians & degrees, Sin, cos & tan, The unit circle, Values of sin x , cos x & tan x

  
• 05.27.2011

  Episode 6: Episode 6 - Logarithmic functions

  Logarithms, Log rules, Solving logarithmic equations, Graph of a logarithmic function

  
• 05.22.2011

  Episode 5: Episode 5 - Exponential functions

  Exponents & power rules, Using power rules, Solving exponential equations, Graphs of exponential functions

  
• 05.22.2011

  Episode 4: Episode 4 - CAS calculator skills - Cubic functions

  Some tips on graphing and solving cubic functions using the TI-Nspire CAS calculator.

  
• 04.25.2011

  Episode 3: Episode 3 - Cubic Functions

  Expanding cubic expressions, Factorisation by long division, The factor theorem, Graphs of cubic functions

  
• 03.07.2011

  Episode 1: Episode 1 - Linear Functions

  Gradient of lines, Graphing linear equations, Finding the equation of a line, Perpendicular lines, Distance between points, Midpoint of a line

  
• 03.07.2011

  Episode 2: Episode 2 - Factorising & solving quadratic equations

  Expanding quadratic expressions, Factorising quadratic expressions, Completing the square, Solving quadratic equations, The quadratic formula, The discriminant