Coming soon
We are working on these types of problems or have them planned. The order may change depending on what you need most.
Equations and inequalities
- Incomplete quadratic equations by factoring or taking roots (x² = 9) instead of the discriminant.
Functions, derivatives and integrals
- Integral applications with parameters – general formulas (a sphere of radius r, an ellipse, a cone).
- The shaded area and the 3D solid for parametric and polar curves.
- Physical applications of derivatives and integrals (velocity, acceleration, work, centre of mass).
- The complex form of the Fourier series and the spectrum.
- The Riemann and Lebesgue integrals of special functions (the Dirichlet and Riemann functions).
Differential equations
- Systems of differential equations given as equations (the applications have them already) and their phase portrait.
- The Laplace transform with the Heaviside function, shifts and periodic right sides.
Other areas
- Vectors – magnitude, dot, cross and triple products, angles, areas and volumes.
- Matrices – operations, determinant, rank, inverse matrix, eigenvalues and eigenvectors.
- Construction problems – triangles, quadrilaterals and circles from given elements, the construction steps and the number of solutions.
- Complex numbers in the polar and exponential form, de Moivre's theorem, n-th roots.
- Cramer's rule for systems of linear equations.
- Functions of several variables, multiple, line and surface integrals.
- Exact and numerical result modes (decimals instead of fractions and roots).
- Word problems – setting up the equations from the text and solving them.