Units 3 & 4 Specialist Maths
These lessons are for the 2016 - 2022 Study Design
These lessons are for the 2016 - 2022 Study Design
Functions & Graphs
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Circular Functions
Circles, Ellipses, Hyperbolae
Reciprocal Circular Functions
Note: There are a couple of arithmetic errors in an example. The process is correct.
Inverse Circular Functions
Graphing Rational Functions
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Modulus Function
Parametric Equations
Compound and Double Angle Formulae
Note: There is a domain error in the last part of the last example. The process is correct.
Solving Equations with Sec, Cosec, Cot
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Algebra and Complex Numbers
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Definitions and Properties
Polar Form (modulus-argument)
Solving quadratic equations over the Complex Field
Solving Equations using De Moivre’s theorem
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Modulus, Conjugate & Division
Operations in Polar form (modulus–argument)
Solving polynomial equations over the Complex Field
Sketching subsets of the complex plane
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Differential Calculus
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Chain, Product & Quotient Rules
Derivative of Inverse Circular Functions
Points of Inflection
Rational Functions
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Derivative of x = f(y)
Second Derivatives
Related Rates
Implicit Differentiation
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Integral Calculus
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Antidifferentiation
Integration by Substitution
Integration using Trigonometric Identities
Integration Review
Area Between Curves
There is an error in the third example for the integration of sin(2x). It should be -1/2cos(2x). It gets fixed in the end.
Volume of Revolution
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Antiderivatives of Inverse Circular Functions
Definite Integrals by Substitution
Integration using Partial Fractions
Fundamental Theorem of Calculus (area)
Integration with CAS
Lengths of Curves
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