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This document contains detailed in-depth notes about Riemann Sums (calculus) for grade 12 mathematics. The following topics are dealt with: 1.1 Simple Definition of Riemann Sums 1.2 Important Representations 1.3 Important Series Notes 1.4 Steps for Riemann Sums 1.5 Example 1 and Example 2 1.6 Additional Important Notes

This package deal is for Grade 12 AP Mathematics. It contains the following documents: 1. Complex Numbers (Algebra) 2. Nth Order/Higher Order Derivatives

This document contains detailed in-depth notes about complex numbers (algebra) for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Complex Numbers 1.2 Multiplication, Addition and Subtraction 1.3 Division 1.4 Quadratic Formula 1.5 Determining the original quadratic equation from its roots 1.6 Solving Simultaneous Equations 1.7 Factorising 1.8 Solving Equations with Polynomials 1.9 Graphical Representation Alongside each of the topics...

This package contains detailed grade 12 mathematics notes about: - Sequences and Series - Polynomials - Limits - Gradients and Derivatives These documents are also available as separate documents.

This document contains detailed in-depth notes about sequences for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Sequences 1.2 Types of Sequences 1.3 Arithmetic/Linear Sequences 1.4 Quadratic Sequences 1.5 Geometric Sequences Alongside each of the topics listed above, there are numerous worked examples that are covered step by step.

This document contains detailed in-depth notes about polynomials (algebra) for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Polynomials 1.2 Factoring Method 1: Sum and Difference of Two Cubes 1.3 Factoring Method 2: Grouping 1.4 Division of Polynomials Definition 1.5 Factoring Method 3: Long Division 1.6 The Remainder Theorem 1.7 The Factor Theorem 1.8 Factoring Method 4: Using the Factor Theorem Alongside each of the topics list...

This document contains detailed in-depth notes about limits (calculus) for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Limits 1.2 Important Factorisation Principles for Solving Limits 1.3 Visual Representative Example of What a Limit Is 1.4 Various Worked Examples Alongside each of the topics listed above, there are numerous worked examples that are covered step by step.

This document contains detailed in-depth notes about gradients and derivatives (calculus) for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Gradients 1.2 Important Definitions and Notes for Average Gradients 1.3 Gradient from First Principles 1.4 Rules for Differentiation Alongside each of the topics listed above, there are numerous worked examples that are covered step by step.

This document summarizes all things to do with nth derivatives/higher order derivatives. It deals with what an nth derivative is and the steps to solve such problems. It includes worked examples with comprehensive step by step notes.

This document summarizes all things to do with nth derivatives/higher order derivatives. It deals with what an nth derivative is and the steps to solve such problems. It includes worked examples with comprehensive step by step notes.