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Ordering of infinite sets
Limits of infinite sequences
Properties of functions
Limits and continuous functions
Transcendental and real numbers
Univariate differentiation
Identifying and evaluating \(e\)
Univariate integration
The sine and cosine functions, and identifying \(\pi\)
The tangent function, and evaluating \(\pi\)
Polar coordinates
Other trigonometric functions
Taylor and Fourier analysis
The gamma and beta functions
Ordinary Differential Equations (ODEs)
Univariate optimisation
Multivariate functions
Multivariate differentiation of scalar fields
Multivariate integration of scalar fields
Multivariate differentiation of vector fields
Multivariate integration of vector fields
Partial Differential Equations (PDEs)
Multivariate optimisation
Complex calculus
Laplace transforms
Quadratic maps, the logistic map, the Mandlebrot set and the Julia set
Riemann surfaces
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