
Overview
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DISCLAIMER: These courses are based on the Western Australian Curriculum but many of the course concepts and topics should apply to Mathematics Specialist/Specialised courses in Queensland, South Australia, Victoria and Tasmania; and Mathematics Extension in New South Wales.
This Mathematics Specialist course is designed to cover all the major and minor aspects that might be covered in a Mathematics Specialist Examination. The videos in this course will cover the essential core skills, broader concepts and higher order questions from a wide range of materials beyond the normal textbooks. Guided examples and examination questions will show students how to deal with different types of questions in an examination setting. Access this course to give yourself the best chance of extending your knowledge and applying that knowledge for a better result in your Mathematics Specialist Examination.
Course Features
- Lectures 38
- Quizzes 0
- Skill level Year 12
- Language English
- Students 1
- Assessments Yes
Curriculum
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Mathematics Specialist - Unit 3 11
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Revision of Year 11 Complex Numbers CopyLecture1.1
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Conjugate CopyLecture1.2
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Multiplying & Dividing Complex Numbers CopyLecture1.3
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Geometrical Properties of Complex Numbers CopyLecture1.4
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Regions, Equations & Inequalities CopyLecture1.5
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De Moivre’s Theorem CopyLecture1.6
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Expanding & Solving Using De Moivre’s Theorem CopyLecture1.7
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Representing Complex Numbers as Vectors CopyLecture1.8
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Factorisation of Polynomials CopyLecture1.9
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Factor & Remainder Theorem CopyLecture1.10
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Complex Roots & Solving CopyLecture1.11
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Unit 3 - Functions 5
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Composite Functions CopyLecture2.1
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Inverse Functions & Their Graphs CopyLecture2.2
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Absolute Value Functions and Their Graphs CopyLecture2.3
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Graphs of Reciprocal Functions CopyLecture2.4
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Rational Functions CopyLecture2.5
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Unit 3 - Vectors 9
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Vectors in Three Dimensions CopyLecture3.1
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Vector Equation of a Line CopyLecture3.2
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Vector Equation of a Plane CopyLecture3.3
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Angles Between Lines & Planes CopyLecture3.4
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Cross Product CopyLecture3.5
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Vector Equation of A Sphere CopyLecture3.6
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Applications of Vectors CopyLecture3.7
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Vector Calculus CopyLecture3.8
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System of Equations CopyLecture3.9
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Mathematics Specialist - Unit 4 13
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Integration Using Trigonometric IdentitiesLecture4.1
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Integration Using SubstitutionLecture4.2
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Calculus Using LogarithmsLecture4.3
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Area Under A Curve/Between CurvesLecture4.4
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Volumes of RevolutionLecture4.5
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Implicit DifferentiationLecture4.6
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Related RatesLecture4.7
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Differential EquationsLecture4.8
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Slope FieldsLecture4.9
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Rectilinear/Simple Harmonic MotionLecture4.10
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Central Limit TheoremLecture4.11
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Confidence Intervals & Sample SizeLecture4.12
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Central Limit Theorem Exam QuestionsLecture4.13
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