Sections

Higher mathematics

Limits, derivatives, integrals, series, logarithms and complex numbers.

9

Limits

Numeric limits of functions and sequences.

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13

Derivatives

Derivative values for power, exponential and trigonometric functions.

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12

Integrals

Definite integrals of common functions.

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8

Sequences and series

Arithmetic and geometric sequences and sums.

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7

Logarithms

Natural, decimal and arbitrary-base logarithms.

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4

Taylor series

Approximations of exponential, sine and cosine functions.

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16

Complex numbers

Modulus, argument and distance in the complex plane.

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17

Differential equations

Initial-value problems for common first-order equations.

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4

Numerical methods

Euler, Heun, Runge–Kutta and Newton iteration steps.

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5

Complex roots

Real and imaginary parts of quadratic roots when D is negative.

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