VCE Maths Methods Podcast
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VCE Maths Methods Podcast
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
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35 bölümEpisode 35: Episode 35 - Sampling & populations
Sample proportions, Sampling distribution - small populations, Sampling distribution - large populations, Sampling distribution - normal distribution...
Episode 34: Episode 34 - Continuous probability distributions
Probability density functions, Calculating probabilities, Median value, Mean value, Variance, Cumulative probability distributions
Episode 33: Episode 33 - Approximating areas under curves
Area under curves,
Left end-point approximation,
Right end-point approximation,
Improvements to rectangle approximations,
Find...
Episode 32: Episode 32 - Quadratic graphs
Transformations of parabolas, Graphing quadratics, Finding the equation of quadratics
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 tr...
Episode 30: Episode 30 - Simultaneous equations
Intersection of lines - from a graph, Intersection of lines - substitution of equations, Simultaneous equations - elimination method, Simultaneous equ...
Episode 29: Episode 29 - Inverse functions
Inverse functions - graphs
Inverse functions - rules
Inverse functions - from equations
Finding inverse functions - one to one.
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,
...
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?
Episode 26: Episode 26 - The normal distribution
Continuous probability density functions
The normal distribution
Calculating probabilities
Z tables
Finding values from a prob...
Episode 25: Episode 25 - Discrete probability distributions
Probability distributions
Discrete random variables
Expected values (mean)
Variance
Linear functions - mean & standard deviati...
Episode 24: Episode 24 - Definite integrals
Area under a curve - integration
Circular functions
Exponential functions
Hyperbolic functions
Area between two curves
A...
Episode 23: Episode 23 - More Integration
Anti-differentiation of powers of x
Anti-differentiation of circular functions
Anti-differentiation of exponential functions
Anti-di...
Episode 22: Episode 22 - Euler's Rule for Linear Approximations
Euler's Rule for Linear Approximations
Episode 20: Episode 20 - The product & quotient rules
Finding derivatives using the product & quotient rules.
Episode 19: Episode 19 - Derivatives of circular functions
Finding the derivatives of circular functions (sin, cos or tan x).
Episode 18: Episode 18 - Derivatives of logarithmic functions
Derivatives of logarithmic functions
Episode 17: Episode 17 - Derivatives of exponential functions
Derivatives of exponential functions.
Episode 15: Episode 15 - Binomial expansion
Expanding polynomials with repeated factors using the binomial expansion. Includes a quick introduction to combinations.
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.
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...
Episode 12: Episode 12 - Functions & Relations
Relations, Set rules & symbols, Sets of numbers, Sets & intervals, Functions, Relations, Function notation, Hybrid functions, Hyperbola, Truncus, Squa...
Episode 11: Episode 11 - Probability
Probability, Tree diagrams, Lattice diagrams, Venn diagrams, Karnough maps, Probability tables, Union & intersection rules, Conditional probability, M...
Episode 10: Episode 10 - Matrix Operations
Introduction to matrices , Addition & subtraction, Scalar multiplication, Matrix multiplication, The unit matrix, Matrix division - the inverse matrix...
Episode 9: Episode 9 - Differentiation
Differentiation by first principles, Differentiation of polynomials, Examples of derivative functions & gradients, Graphs of derivative functions, Tan...
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
Episode 7: Episode 7 - Circular functions & angles
Radians & degrees, Sin, cos & tan, The unit circle, Values of sin x , cos x & tan x
Episode 6: Episode 6 - Logarithmic functions
Logarithms, Log rules, Solving logarithmic equations, Graph of a logarithmic function
Episode 5: Episode 5 - Exponential functions
Exponents & power rules, Using power rules, Solving exponential equations, Graphs of exponential functions
Episode 4: Episode 4 - CAS calculator skills - Cubic functions
Some tips on graphing and solving cubic functions using the TI-Nspire CAS calculator.
Episode 3: Episode 3 - Cubic Functions
Expanding cubic expressions, Factorisation by long division, The factor theorem, Graphs of cubic functions
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
Episode 2: Episode 2 - Factorising & solving quadratic equations
Expanding quadratic expressions,
Factorising quadratic expressions,
Completing the square,
Solving quadratic equations,
Th...