Maths Methods Podcast

Maths Methods Podcast

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A summary of the topics covered in VCE Maths Methods Unit 1 & 2. Created by Justin Vincent at Warrnambool College.

Maths Methods


    • Sep 10, 2016 LATEST EPISODE
    • infrequent NEW EPISODES
    • 13m AVG DURATION
    • 35 EPISODES


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    Latest episodes from Maths Methods Podcast

    Episode 35 - Sampling & populations

    Play Episode Listen Later Sep 10, 2016 21:54


    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

    Episode 34 - Continuous probability distributions

    Play Episode Listen Later Sep 9, 2016 13:39


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

    Episode 33 - Approximating areas under curves

    Play Episode Listen Later Aug 12, 2016 10:23


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

    Episode 32 - Quadratic graphs

    Play Episode Listen Later Apr 16, 2016 13:58


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

    Episode 31 - Transformation of functions

    Play Episode Listen Later Mar 31, 2016 18:04


    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)

    Episode 30 - Simultaneous equations

    Play Episode Listen Later Feb 25, 2016 13:01


    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

    Episode 29 - Inverse functions

    Play Episode Listen Later Feb 15, 2016 8:23


    Inverse functions - graphs Inverse functions - rules Inverse functions - from equations Finding inverse functions - one to one.

    Episode 28 - Graphs of circular functions

    Play Episode Listen Later Dec 30, 2015 12:44


    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

    Episode 27 - The binomial probability distribution

    Play Episode Listen Later Oct 4, 2015 18:36


    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

    Episode 26 - The normal distribution

    Play Episode Listen Later Sep 20, 2015 13:38


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

    Episode 25 - Discrete probability distributions

    Play Episode Listen Later Sep 17, 2015 12:45


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

    Episode 24 - Definite integrals

    Play Episode Listen Later Aug 1, 2015 13:47


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

    Episode 23 - More Integration

    Play Episode Listen Later Jul 24, 2015 16:12


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

    Episode 22 - Euler's Rule for Linear Approximations

    Play Episode Listen Later Jul 3, 2015 6:38


    Euler's Rule for Linear Approximations

    Episode 21 - Related rates of change

    Play Episode Listen Later Jun 22, 2015 6:12


    Related rates of change

    Episode 20 - The product & quotient rules

    Play Episode Listen Later May 11, 2015 9:16


    Finding derivatives using the product & quotient rules.

    Episode 19 - Derivatives of circular functions

    Play Episode Listen Later May 8, 2015 9:23


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

    Episode 18 - Derivatives of logarithmic functions

    Play Episode Listen Later May 2, 2015 8:07


    Derivatives of logarithmic functions

    Episode 17 - Derivatives of exponential functions

    Play Episode Listen Later May 2, 2015 8:19


    Derivatives of exponential functions.

    Episode 16 - The chain rule

    Play Episode Listen Later May 1, 2015 10:01


    Using the chain rule to find derivatives.

    Episode 15 - Binomial expansion

    Play Episode Listen Later Apr 20, 2015 11:11


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

    Episode 14 - Modelling with exponential and logarithmic functions

    Play Episode Listen Later Apr 19, 2015 12:32


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

    Episode 13 - Integration

    Play Episode Listen Later Aug 6, 2013 18:41


    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

    Episode 12 - Functions & Relations

    Play Episode Listen Later Jun 22, 2013 25:29


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

    Episode 11 - Probability

    Play Episode Listen Later Oct 14, 2011 26:57


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

    Episode 10 - Matrix Operations

    Play Episode Listen Later Oct 1, 2011 19:04


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

    Episode 9 - Differentiation

    Play Episode Listen Later Sep 7, 2011 19:24


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

    Episode 8 - Rates of change

    Play Episode Listen Later Sep 4, 2011 10:30


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

    Episode 7 - Circular functions & angles

    Play Episode Listen Later Jul 30, 2011 14:24


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

    Episode 6 - Logarithmic functions

    Play Episode Listen Later May 27, 2011 13:11


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

    Episode 5 - Exponential functions

    Play Episode Listen Later May 22, 2011 16:35


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

    Episode 4 - CAS calculator skills - Cubic functions

    Play Episode Listen Later May 22, 2011 6:01


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

    Episode 3 - Cubic Functions

    Play Episode Listen Later Apr 25, 2011 14:23


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

    Episode 1 - Linear Functions

    Play Episode Listen Later Mar 7, 2011 13:15


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

    Episode 2 - Factorising & solving quadratic equations

    Play Episode Listen Later Mar 7, 2011 22:28


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

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