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Year 12 - Mathematics

Mathematics Methods
(Unit 3&4)

Mathematics Methods introduces students into the world of Calculus and Statistics. 

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Topic 1 - Differentiation

Lesson 1 - Revising the limit theorem of differentiation and the shortcut method for differentiating polynomials 

Lesson 2 - Revising Critical/Stationary points

Lesson 3 - Revising The Sign Test

Lesson 4 - Revising Optimisation

Mathematics Specialist (Unit 3&4)

Mathematics Specialist goes beyond the depths of Mathematics Methods and further investigates the world of Calculus and Statistics. Mathematics Methods should be studied alongside this course.

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Our team at The Math Dugout are working hard to release more material as quickly as possible. If there is a topic you would like covered, please contact us to have it's release made a priority!

Lesson 5 - Revising Rectilinear Motion

Lesson 6 - The Double Derivative Test

Lesson 7 - Differentiating Sine, Cosine and Exponential (e) functions

Lesson 8 - The Product Rule and The Quotient Rule

Lesson 9 - The Chain Rule

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Topic 2 - Antidifferentiation

Lesson 1 - Revising the general formula for anti-differentiating polynomials

Lesson 2 - Anti-differentiating Sine and Cosine functions

Lesson 3 - Anti-differentiating the exponential (e) function.

Lesson 4 - Anti-differentiating "Reverse Chain Rule"

Lesson 5 - Definite integration 

Lesson 6 - Area bound between a curve and the x-axis

Lesson 7 - Area bound between two curves

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Topic 3 - Logarithms

Lesson 1 - Revising - Solving Exponential Equations with an Unknown in the Power

Lesson 2 - Logarithms Introduction and Notation

Lesson 3 - Logarithm Laws

Lesson 4 - Solving Exponential Equations Using Logarithms

Lesson 5 - Differentiating the Natural Log (Proof)

Lesson 6 - Differentiating the Natural Log (Examples)

Lesson 7 - Differentiating the Natural Log (Applications)

Lesson 8 - Ant-differentiating the Natural Log (Examples)

Lesson 9 - Ant-differentiating the Natural Log (Applications)

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Topic 4 - Discrete Random Variables

Lesson 1 - Discrete Random Variables (DRV) and Probability Density Functions (PDFs) - Introduction

Lesson 2 - DRV and PDF - Further Questions

Lesson 3 - Bernoulli Distribution

Lesson 4 - Binomial Distribution

MORE COMING SOON!

Our team at The Math Dugout are working hard to release more material as quickly as possible. If there is a topic you would like covered, please contact us to have it's release made a priority!

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