Unit 1
Specialist Mathematics (Queensland)
Topic 1: Combinatorics
Topic 2: Introduction to proof
Topic 3 & 4: Vectors
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Vectors Introduction
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Adding Vectors Graphically
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Vectors Multiplying by a scalar
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Vectors in 2D and 3D Shapes
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Vectors in linear combinations
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Vectors in column vector form
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Vectors in Component Form (2D only)
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Vector addition and subtraction (2D only)
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Vectors multiplying by a scalar in component form
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Simple operations on Vectors in column vector form
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Vectors finding the magnitude
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Vectors finding the unit vector
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Defining a vector between 2 points
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The dot product part 1
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The dot product part 2
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The dot product part 3
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What’s a vector projection?
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Vector Projection Example of that second formula
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Calculating vector projections
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Resolving a vector into components parallel and perpendicular to a second vector
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Vectors: Polar form (converting from component to polar and polar to component)
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Vectors Distance, Displacement, Speed and Velocity
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Relative Velocity
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Relative Velocity: EVERY QUESTION: fully worked solutions
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Resultant forces
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Vectors: Objects in Equilibrium
Topic 5: Matrices
