VCE Maths Methods Podcast

Episodes

1. 35

   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,...

   Sep 10, 2016

   21m
2. 34

   Episode 34: Episode 34 - Continuous probability distributions

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

   Sep 10, 2016

   13m
3. 33

   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

   Aug 12, 2016

   10m
4. 32

   Episode 32: Episode 32 - Quadratic graphs

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

   Apr 16, 2016

   13m
5. 31

   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)

   Mar 31, 2016

   18m
6. 30

   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

   Feb 25, 2016

   16m
7. 29

   Episode 29: Episode 29 - Inverse functions

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

   Feb 15, 2016

   8m
8. 28

   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

   Dec 31, 2015

   12m
9. 27

   Episode 27: Episode 27 - The binomial probability 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

   Oct 4, 2015

   18m
10. 26

    Episode 26: Episode 26 - The normal distribution

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

    Sep 20, 2015

    13m
11. 25

    Episode 25: Episode 25 - Discrete probability distributions

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

    Sep 17, 2015

    12m
12. 24

    Episode 24: Episode 24 - Definite integrals

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

    Aug 1, 2015

    13m
13. 23

    Episode 23: Episode 23 - More Integration

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

    Jul 24, 2015

    16m
14. 22

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

    Euler's Rule for Linear Approximations

    Jul 3, 2015

    6m
15. 21

    Episode 21: Episode 21 - Related rates of change

    Related rates of change

    Jun 22, 2015

    6m
16. 20

    Episode 20: Episode 20 - The product & quotient rules

    Finding derivatives using the product & quotient rules.

    May 11, 2015

    10m
17. 19

    Episode 19: Episode 19 - Derivatives of circular functions

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

    May 8, 2015

    57m
18. 18

    Episode 18: Episode 18 - Derivatives of logarithmic functions

    Derivatives of logarithmic functions

    May 3, 2015

    8m
19. 17

    Episode 17: Episode 17 - Derivatives of exponential functions

    Derivatives of exponential functions.

    May 3, 2015

    7m
20. 16

    Episode 16: Episode 16 - The chain rule

    Using the chain rule to find derivatives.

    May 1, 2015

    11m
21. 15

    Episode 15: Episode 15 - Binomial expansion

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

    Apr 20, 2015

    11m
22. 14

    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.

    Apr 19, 2015

    12m
23. 13

    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

    Aug 6, 2013

    18m
24. 12

    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

    Jun 22, 2013

    25m
25. 11

    Episode 11: Episode 11 - Probability

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

    Oct 15, 2011

    26m
26. 10

    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.

    Oct 1, 2011

    19m
27. 9

    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

    Sep 7, 2011

    19m
28. 8

    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

    Sep 4, 2011

    10m
29. 7

    Episode 7: Episode 7 - Circular functions & angles

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

    Jul 30, 2011

    14m
30. 6

    Episode 6: Episode 6 - Logarithmic functions

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

    May 27, 2011

    13m
31. 5

    Episode 5: Episode 5 - Exponential functions

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

    May 22, 2011

    16m
32. 4

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

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

    May 22, 2011

    6m
33. 3

    Episode 3: Episode 3 - Cubic Functions

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

    Apr 25, 2011

    14m
34. 1

    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

    Mar 7, 2011

    17m
35. 2

    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

    Mar 7, 2011

    26m