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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)

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Basic finance, bank transactions, sinking fund, balance outstanding, depreciation, annuities, investment decrease, lump sum payment ,% paid to capital, appreciation, deferred annuities .

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  • Class notes
  •  • 12 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics : Functions

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Steps and examples on piece-wise functions. fog,gof, rational functions interpretation and sketching.

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  •  • 21 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics :Integration

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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.

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  •  • 24 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics :Limits, continuity and differentiability

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cases for differentiable f(x), solving various types of limits, removable and jump discontinuity, steps to solving limits, continuity and discontinuity.

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  •  • 22 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics : Logs and e

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Logs, log laws, deductions, equations, the number e, graphs with e, natural logs, examples.

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  • Class notes
  •  • 15 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics : Matrices (paper 2 option)

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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.

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  •  • 50 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics : Modelling (paper 2 option)

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Malthusian, logistic, predator prey, first order and second order modelling, equilibrium.

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  •  • 14 pages • 
  • by Bhavaniya • 
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Advanced programme mathematics : Optimization

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optimization steps and examples

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  •  • 7 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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AP Maths Notes: Partial Fractions

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Partial fractions: linear factors, repeated linear factors, irreducible quadratic factors, degree of denominator less than numerator , examples.

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  •  • 11 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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Advanced programme mathematics : Proof by induction

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proof by induction steps and examples summation and division.

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  •  • 12 pages • 
  • by Bhavaniya • 
  • uploaded  2021
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