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METHODS, UNIT 3, UNIT 4 - Coggle Diagram
METHODS
UNIT 3
3.4 Intro to Integration
8A Anti-differentiation of polynomial functions
8B Anti-differentiation of power functions
8H Applications of integration to motion in a straight line
8E Anti-differentiation of trigonometric functions
8D The anti-derivative of e^kx
8F Further anti-differentiation of trigonometric functions
8G Applications of integration
8C The anti-derivative of (ax+b)^r
3.1 Exponential/Logarithmic Differentiation
5E Graphing logarithmic functions
5D Logarithms & the logarithm laws
5F Solving equations involving exponential & logarithmic functions
5B The exponential function f(x)=e^x
5G Differentiation of e^x
5I Determining rules for the graphs of exponential and logarithmic functions
5H Differentiation of the natural logarithm function
3.2 Trigonometric Difference & Rules
6B The product rule
6E Rates of change
6F Motion in a straight line
6D Tangents & Normals
6C The quotient rule
6A Differentiation of trigonometric function
3.5 Discrete Random Variables
9C Discrete random variables
9D Expected value, variance & standard deviation
9B Review of conditional probability & indepdence
9E Bernoulli sequences & the biomial distribution
9A Review of Probability
3.3 Further Differentiation
7D Using the second derivative in graph sketching
7E Absolute maximum & minimum values
7A The second derivative & acceleration
7F Optimisation
UNIT 4
4.1 Further Integration
11G Applications of integration
11H Velocity-Time Graphs
11F The area of a region between two curves
11B Determining the exact area: the definite integral
11A Approximating the area under a graph
11C Signed Areas
11E Further integration techniques
11D Integration of more families of functions
4.3 Continuous & Normal Distribution
13B Percentiles of a continuous distribution
13C Expected value & variance
13A Introduction to continuous random variables
13E Cumulative distribution functions
13H Determining normal probabilities
13G Standardisation
13I Solving problems using the normal distribution
13F The probability density function of the normal distribution
4.2 Trigonometry
12C The Cosine Rule
12D Area of a Triangle
12B The Sine Rule
12E Bearings
12E Angles of Elevation & Depression
12F & G Problems in three dimensions
4.5 Interval Estimates
15C Margin of Error
15B Varying the level of confidence
15A Confidence intervals
4.4 Sampling & Proportion
14C Distribution of Sample Proportion
14D The normal approximation to the distribution of the sample proportion