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TheActSciGuy

I'm a second year actuarial student at UCT. I achieved a 90% aggregate in matric (IEB), with 97% for maths (top 1% in the country), 93% for physics, 95% for business studies and 85% for advanced maths.

I'm here to help you succeed in all your matric and actuarial courses with high yield and easily understandable summaries & problem sheets. I look forward to working with you!

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82 items

MAM2000W 2LA: Coordinates with Respect to a Basis

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Detailed and understandable summary of Coordinates with respect to a basis. Packed with examples and colourful hints. Contains: Important notation - An explanation of the coordinate system - The Standard basis - Basis of polynomials - 3 Examples of all possible variations (find coordinate vector, basis or vector) - Change of coordinates between two different basis.

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  •  • 16 pages • 
  • by TheActSciGuy • 
  • uploaded  25-05-2021
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MAM2000W: 2LA Solving Matrices

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Detailed and understandable summary of how to Solve Matrices. Packed with exam problems and colourful hints. Contains: - Types of row operations - Row echelon form and Reduced Row echelon form - Row echelon terminology - Types of solutions - Parametric form for solution (detailed) - Elementary matrices - Inverse elementary matrices - Row equivalence

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  •  • 23 pages • 
  • by TheActSciGuy • 
  • uploaded  25-05-2021
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MAM2000W: 2LA Introduction to Matrices

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Detailed and understandable summary of the Introduction to Matrices. Packed with exam problems and colourful hints. Contains: - Background to systems of linear equations - Matrix notation - Types of matrices and examples - Multiplication of matrices by inner products and linear combinations (detailed explanation and examples) - Transposes of matrices - Properties of matrix transposes and multiplication

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  •  • 31 pages • 
  • by TheActSciGuy • 
  • uploaded  25-05-2021
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ECO2003F: Costs, Production and Perfect Competition

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Detailed and understandable summary on Theory of the Firm. Covers costs, production and perfect competition. Packed with graphs and colourful hints. Contains: - Production in the long and short run - Average, marginal and total product - Types of production functions - Costs in the long and short run - Average, marginal and total cost curves - Theory on perfect competition in the long and short run - Industry and firm supply curves - Consumer and producer surplus.

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  •  • 40 pages • 
  • by TheActSciGuy • 
  • uploaded  25-05-2021
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MAM2000W: Derivatives of Multivariable Functions Summary

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Detailed and understandable summary of the Derivatives of Multivariable Functions . Packed with exam problems and colourful hints. Contains: - Background on to derive multivariable (MV) functions - Different notations explained - 7 Examples on finding MV derivatives - 2 Examples finding implicit derivatives of MV functions - 3 Examples of higher order MV derivatives - 1 Examples using a word problem

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  •  • 25 pages • 
  • by TheActSciGuy • 
  • uploaded  17-05-2021
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MAM2000W: Curvature, Torsion and Equation of Planes Summary

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Detailed and understandable summary of curvature, torsion and equation of planes for vector functions. Packed with exam problems and colourful hints. Contains: - Background on how curvature and torsion equations are derived - All relevant formula's for unit vectors, curvature and torsion and when to apply each - Theory of oscillating circle - 2 Examples testing all unit vectors (T,NB), curvature and normal plane - 2 Examples of finding curvature

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  •  • 25 pages • 
  • by TheActSciGuy • 
  • uploaded  17-05-2021
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MAM2000W: Intro to Multivariable Functions Summary

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Detailed and understandable summary of the Intro to Multivariable Functions. Packed with exam problems and colourful hints. Contains: - Background on multivariable functions - Detailed methods on how to graph domain and functions - 1 Example to find points using a curve - 3 Examples on how to find the domain of a MV function - 4 Examples of graphing the domain of MV function - 3 Examples of graphing a MV function - 5 Examples on finding level curves and contour plots

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  •  • 24 pages • 
  • by TheActSciGuy • 
  • uploaded  17-05-2021
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MAM2000W: TNB Frames (Unit Tangent, Normal and Binormal) Summary

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Detailed and understandable summary of the derivatives and integrals of vector functions. Packed with exam problems and colourful hints. Contains: - Basic introduction into TNB Frames - Explanation of what each unit vector means geometrically - Formula to calculate each unit vector - Proof of why the unit tangent, normal and binormal are mutually orthogonal

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  •  • 4 pages • 
  • by TheActSciGuy • 
  • uploaded  01-05-2021
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MAM2000W: Arc Length Reparametrisation Summary

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Detailed and understandable summary of the derivatives and integrals of vector functions. Packed with exam problems and colourful hints. Contains: - Background on arc length and how the formula are derived - Detailed method sheets for calculating both arc length and how to reparametrise - 3 Examples of finding exact arc length and arc length function - 2 examples of arc length reparametrisation

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  •  • 13 pages • 
  • by TheActSciGuy • 
  • uploaded  30-04-2021
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