Unit 3
Mathematical Methods (Queensland)
Topic 1: The Logarithmic Function
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Log laws as fast as possible
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Logs 1 Intro to Logarithms
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Logs 2 Log Law 1
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Logs 3 Log Law 2
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Logs 4 Log Law 3
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Logs 5 Log Law 4
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Logs 6 Log Law 5
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Logs 7 Log Law 6
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Logs 8 solving exponentials
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Solving Indicial equations using logarithms
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Logs 9 Solving logarithmic equations
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Solving Log equations examples
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Solving equations involving natural log
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Solving logarithmic equations with an unknown power
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Solving logarithmic equations with an unknown base
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Logs 10 Solving logarithmic equations part 2
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Logarithms 12 Simplifying Log equations
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Logarithmic functions Basic shape
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Logarithmic functions Sketching
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Finding equations of log functions
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Logarithmic functions 3 Find equation from a sketch
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Logarithmic Functions 4 Regression analysis
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Exponential and logarithmic modelling
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Solving Indicial equations
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Harder Indicial Equations
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Indicial equations super hard quadratic action
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Indicial equations The hardest one
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Exponential Models using e
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e to the power of ln(x)
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Logarithmic Modelling 3 Quick Examples
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Sketching Log Functions & why they look the way they do
Topic 2: Further Differentiation and Applications 2
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Derivatives of Exponential, Logarithmic and Trigonmetric functions
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Joining two functions so that their gradients match: Part 1 (Maths Methods PSMT IA1 prep)
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Joining two functions so that their gradients match: Part 2 (Maths Methods PSMT IA1 prep)
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The chain rule revisited
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The Product Rule Revisited
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The quotient rule
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Equations of tangents and normals revisited
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Average vs instantaneous rates of change
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Rates of change application
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Motion in a straight line An application of rates
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Motion in a straight line acceleration recap
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Finding Stationary points
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Nature of Stationary points
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Sketching the derivative function from a picture
Topic 3: Integrals
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Intro to Integration and integrating polynomials
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Integration a little bit of theory
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Integration finding the c value
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Integration the reverse chain rule
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Integration resulting in a logarithm
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Integrals of exponentials
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Integration of trig functions
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Integration by recognition updated
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Applications of Integration in motion questions
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The definite integral
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The definite integral signed area
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Area between two curves
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The area under a derivative function
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Trapezoidal Rule Fully explained