Detailed study notes for students
Top ten student at Crawford College Sandton. I have uploaded my matric study notes for Afrikaans, Mathematics, Accounting and Advanced Programme Mathematics. These notes aided me to succeed in my IEB finals and obtain exemplary results.
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Advanced programme mathematics :Financial maths (paper 2 option)
Basic finance, bank transactions, sinking fund, balance outstanding, depreciation, annuities, investment decrease, lump sum payment ,% paid to capital, appreciation, deferred annuities .
- Notes de cours
- • 12 pages •
Basic finance, bank transactions, sinking fund, balance outstanding, depreciation, annuities, investment decrease, lump sum payment ,% paid to capital, appreciation, deferred annuities .
Advanced programme mathematics : Functions
Steps and examples on piece-wise functions. fog,gof, rational functions interpretation and sketching.
- Package deal
- Notes de cours
- • 21 pages •
Steps and examples on piece-wise functions. fog,gof, rational functions interpretation and sketching.
Advanced programme mathematics :Integration
the definite integral, Riemann sums, open integral, closed integral, areas integration, integration by substitution, use of double and compound angles, integration by parts, chain rule.
- Package deal
- Notes de cours
- • 24 pages •
the definite integral, Riemann sums, open integral, closed integral, areas integration, integration by substitution, use of double and compound angles, integration by parts, chain rule.
Advanced programme mathematics :Limits, continuity and differentiability
cases for differentiable f(x), solving various types of limits, removable and jump discontinuity, steps to solving limits, continuity and discontinuity.
- Package deal
- Notes de cours
- • 22 pages •
cases for differentiable f(x), solving various types of limits, removable and jump discontinuity, steps to solving limits, continuity and discontinuity.
Advanced programme mathematics : Logs and e
Logs, log laws, deductions, equations, the number e, graphs with e, natural logs, examples.
- Notes de cours
- • 15 pages •
Logs, log laws, deductions, equations, the number e, graphs with e, natural logs, examples.
Advanced programme mathematics : Matrices (paper 2 option)
Matrices rules and properties, determinant, inverse, transpose and trace, gauss elimination, system of equations, linear equations, nature of solutions linear matrix, solutions in 3d space, transformations, gauss Jordan reduction.
- Package deal
- Notes de cours
- • 50 pages •
Matrices rules and properties, determinant, inverse, transpose and trace, gauss elimination, system of equations, linear equations, nature of solutions linear matrix, solutions in 3d space, transformations, gauss Jordan reduction.
Advanced programme mathematics : Modelling (paper 2 option)
Malthusian, logistic, predator prey, first order and second order modelling, equilibrium.
- Notes de cours
- • 14 pages •
Malthusian, logistic, predator prey, first order and second order modelling, equilibrium.
Advanced programme mathematics : Optimization
optimization steps and examples
- Package deal
- Notes de cours
- • 7 pages •
optimization steps and examples
AP Maths Notes: Partial Fractions
Partial fractions: linear factors, repeated linear factors, irreducible quadratic factors, degree of denominator less than numerator , examples.
- Package deal
- Notes de cours
- • 11 pages •
Partial fractions: linear factors, repeated linear factors, irreducible quadratic factors, degree of denominator less than numerator , examples.
Advanced programme mathematics : Proof by induction
proof by induction steps and examples summation and division.
- Package deal
- Notes de cours
- • 12 pages •
proof by induction steps and examples summation and division.
Afrikaans notes: Taal