Maths for Grade 12 · 5 units
The Grade 12 · 5 units topics, in the Ministry of Education's order. All the topics are ready.
- Vectors
- Vectors: laws, linear dependence and uniqueness
- The scalar product
- The scalar product and its uses in space
- Lines and planes in space
- Lines, planes and solids in space
- Cylinders, cones and spheres by vector tools
- Points, segments and lines: ratios, distances and loci
- Circles and lines in analytic geometry
- Circles: the general equation, two circles and loci
- The parabola as a locus
- The ellipse
- The hyperbola and the conics together
- Indices and exponential functions
- Logarithms and logarithmic functions
- Differentiating exponential and logarithmic functions
- Investigating exponential and logarithmic functions
- Integrating exponential and logarithmic functions
- Exponential models: growth, decay and logarithmic scales
- Exponential and logarithmic functions: further differentiation and integration
- Complex numbers: operations and the Gauss plane
- Polar form, de Moivre’s theorem and roots of unity
- Complex numbers in geometry: loci and transformations