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VCE Specialist Mathematics
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1 Vectors - cartesian equations (incl 3D), planes, gaussian elimination and cross product)
1 Vectors - Linear Dependence and Independence
1 Vectors - Perpendicular Vectors, Modulus and Miscellaneous
1 Vectors - Scalar and Vector Resolutes
1 Vectors - The Angle Between Two Vectors
1 Vectors - Vector functions and Kinematics
2 Complex Numbers - Converting to Polar Form and De Moivre's Theorem
2 Complex Numbers - Factorising and Solving
3 Trigonometry - Compound and Double Angle Formulas, Symmetries and Identities (Year 11 Revision)
4 Differentiation - Differentiation (including Inverse Circular Functions)
4 Differentiation - Graphical Analysis Using Second Derivatives
4 Differentiation - Implicit Differentiation
4 Differentiation - Related Rates of Change
5 Functions - Absolute Value Functions
5 Functions - Hyperbolas, Ellipses and Circles
5 Functions - Reciprocal, Rational and Quotient Functions
6 Integration - Arc Length
6 Integration - Area Under a Curve
6 Integration - Integration Techniques: Miscellaneous
6 Integration - Integration Techniques: Substitution
6 Integration - Volumes of Solids of Revolution
7 Differential Equations - Direction (Slope) Fields
7 Differential Equations - Euler's Method
7 Differential Equations - Inflow-Outflow Mixing Problems
7 Differential Equations - Interpreting DEs, Verifying Solutions and Solving
7 Differential Equations - Separation of Variables
8 Kinematics - Alternate Forms: a(v), a(x), v(x), t(v), t(x)
8 Kinematics - Constant Acceleration Problems
8 Kinematics - Velocity-Time Graphs and Basic x(t) - v(t) - a(t) Conversion
Logic and Proof
ℴ10. Probability and Statistics - Confidence Intervals for Means
ℴ10. Probability and Statistics - Hypothesis Testing
ℴ10. Probability and Statistics - Linear Combinations of Random Variables
ℴ10. Probability and Statistics - Sample Mean Distributions
ℴ11. Extended Response - Calculus
ℴ11. Extended Response - Calculus - Differential Equations
ℴ11. Extended Response - Complex Numbers
ℴ11. Extended Response - Kinematics
ℴ11. Extended Response - Probability and Statistics
ℴ11. Extended Response - Vector Functions
ℴ11. Extended Response - Vectors
X Complex Numbers - Relations in the Complex Plane
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48 Videos & Notes
How to get a 45+ in Specialist Maths
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Jadel
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1 Vectors - Linear Dependence and Independence
1 Vectors - Perpendicular Vectors, Modulus and Miscellaneous
1 Vectors - Scalar and Vector Resolutes
1 Vectors - The Angle Between Two Vectors
1 Vectors - Vector functions and Kinematics
2 Complex Numbers - Converting to Polar Form and De Moivre's Theorem
X Complex Numbers - Core Operations, Representations and Manipulations
2 Complex Numbers - Factorising and Solving
X Complex Numbers - Relations in the Complex Plane
3 Trigonometry - Compound and Double Angle Formulas, Symmetries and Identities (Year 11 Revision)
X Trigonometry - Inverse Circular Functions
X Trigonometry - Solving Trigonometric Equations
4 Differentiation - Differentiation (including Inverse Circular Functions)
4 Differentiation - Graphical Analysis Using Second Derivatives
4 Differentiation - Implicit Differentiation
4 Differentiation - Related Rates of Change
5 Functions - Absolute Value Functions
5 Functions - Hyperbolas, Ellipses and Circles
5 Functions - Reciprocal, Rational and Quotient Functions
6 Integration - Arc Length
6 Integration - Area Under a Curve
6 Integration - Integration Techniques: Miscellaneous
6 Integration - Integration Techniques: Substitution
6 Integration - Volumes of Solids of Revolution
7 Differential Equations - Direction (Slope) Fields
7 Differential Equations - Euler's Method
7 Differential Equations - Inflow-Outflow Mixing Problems
7 Differential Equations - Interpreting DEs, Verifying Solutions and Solving
7 Differential Equations - Separation of Variables
8 Kinematics - Alternate Forms: a(v), a(x), v(x), t(v), t(x)
8 Kinematics - Constant Acceleration Problems
8 Kinematics - Velocity-Time Graphs and Basic x(t) - v(t) - a(t) Conversion
X Mechanics - Basics
X Mechanics - Equilibrium
X Mechanics - Inclined Planes and Pulleys
X Mechanics - Problems Involving Kinematics
ℴ10. Probability and Statistics - Confidence Intervals for Means
ℴ10. Probability and Statistics - Hypothesis Testing
ℴ10. Probability and Statistics - Linear Combinations of Random Variables
ℴ10. Probability and Statistics - Sample Mean Distributions
ℴ11. Extended Response - Calculus
ℴ11. Extended Response - Calculus - Differential Equations
ℴ11. Extended Response - Complex Numbers
ℴ11. Extended Response - Kinematics
X Extended Response - Mechanics
ℴ11. Extended Response - Probability and Statistics
ℴ11. Extended Response - Vector Functions
ℴ11. Extended Response - Vectors
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Check out how to get a 45+ in Specialist Maths!
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Sketching Inverse Circular Functions
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X Trigonometry - Inverse Circular Functions
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A quick overview for sketching inverse circular functions
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Vector functions - Peter Woolfe
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1 Vectors - Vector functions and Kinematics
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Videos on vector functions
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Equilibrium w/ Friction - Peter wolfe
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X Mechanics - Equilibrium
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Peter Wolfe explains friction and equilibrium
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Equilibrium - Peter Wolfe
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X Mechanics - Equilibrium
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Particles in equilibrium by Peter Wolfe
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Variable Forces - Peter Woolfe
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X Mechanics - Problems Involving Kinematics
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Variable forces
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Connected Particles - Peter Woolfe
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X Mechanics - Inclined Planes and Pulleys
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Resolving forces with connected particles
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Resolution of Forces and Inclined Planes - Peter Woolfe
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X Mechanics - Inclined Planes and Pulleys
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Peter Woolfe shows you how to resolve forces on an inclined plane
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Forces - Peter Woolfe
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X Mechanics - Basics
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Peter Woolfe discusses force and its resolution into orthogonal components.
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Expressions for Acceleration - Peter Woolfe
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8 Kinematics - Alternate Forms: a(v), a(x), v(x), t(v), t(x)
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Peter Woolfe's walkthrough of expressions for acceleration
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Kinematics where a=f(v) and v=f(x)
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8 Kinematics - Alternate Forms: a(v), a(x), v(x), t(v), t(x)
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This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at http://www.doceri.com
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Velocity Time Graphs - Peter Woolfe
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8 Kinematics - Velocity-Time Graphs and Basic x(t) - v(t) - a(t) Conversion
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Kinematics Velocity Time Graphs
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Constant Acceleration - Peter Woolfe
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8 Kinematics - Constant Acceleration Problems
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An overview of constant acceleration formulas with Peter Woolfe
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Basics of kinematics - Peter Woolfe
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8 Kinematics - Velocity-Time Graphs and Basic x(t) - v(t) - a(t) Conversion
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Peter Woolfe gives you a thorough intro to kinematics
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Differential equations - Peter Woolfe
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7 Differential Equations - Interpreting DEs, Verifying Solutions and Solving
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Solving, verifying and interpreting DEs with Peter Woolfe
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Slope fields - Peter Woolfe
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7 Differential Equations - Direction (Slope) Fields
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Peter Woolfe goes through how to interpret slope fields
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Euler's Method - Peter Woolfe
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7 Differential Equations - Euler's Method
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Euler's method by Peter Woolfe
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Related Rates Examples - Peter Woolfe
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4 Differentiation - Related Rates of Change
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Peter Woolfe goes through some more related rates examples
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Volumes of Revolution - Peter Woolfe
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6 Integration - Volumes of Solids of Revolution
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Peter Woolfe discusses the interesting topic of volumes of revolutions. Explains a difficult concept in a clear manner.
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Areas Between Curves - Peter Woolfe
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6 Integration - Area Under a Curve
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Peter Woolfe illustrates how to find the area between curves
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