Unit 4
Specialist Mathematics (Queensland)
Topic 1: Integration techniques
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Proofs of derivatives of Inverse Trigonometric Functions
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Calculating derivatives of inverse trigonometric Functions
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Integration Resulting in Inverse trigonometric functions
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Integration by Substitution Introduction
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Integration by substitution worked examples part 1
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Integration by substitution worked examples part 2
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Integration by linear substitution
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Definite Integral & U substitution: One Weird Trick
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Using trig identities for integration
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Partial Fractions
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Integration with partial fractions
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Integration by parts
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Integration by parts: choosing u and v’
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Integration by parts e^xsinx
Topic 2: Applications of integral calculus
Topic 3: Rates of change and differential equations
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Implicit differentiation
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Solving differential equations
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Solving differential equations given in terms of f(y)
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Separable differential equations
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Related Rates: Introduction and Worked Examples
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Related Rates Parametric equations
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Differential Equations with Related Rates
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Isaac Newton & My Cup of Coffee: Differential Equations Applications
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Introduction to Slope Fields for Differential Equations
Topic 4: Modelling motion
