
Overview
COURSE DESCRIPTION
We offer an extensive program of HSC preparation courses across a range of subjects as well as complementary study skills courses for HSC students to help maximise their HSC results.
The Advanced mathematics HSC contains two section, 10 Multiple Choice Question and around 11 written questions. The whole exam takes 3 hours and 5 minute reading time. The content taught in this course is highly relevant, and designed to fit the HSC Advanced mathematics style, as well as being specific to essential syllabus and assessment
Delivery style
Mode: online and/or offline. The content of class includes theory study, multiple choice practice, sample HSC questions practice and feedback.
Student will be able to:
- Get a thorough understanding of the advanced mathematics course
- Get a comprehensive analysis of selected problems in the past HSC paper
- Identify and use the correct technique to solve relevant questions
Material
Comprehensive study note prepared by experienced teaching group
Course layout and Fee
The whole package include 12 hours teaching and anytime teacher support online.
Course Features
- Lectures 30
- Quizzes 0
- Duration 12 hours
- Skill level Beginner
- Language English
- Students 5
- Assessments Yes
Curriculum
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Day 1 1
Functions (including Exponential and logarithmic functions)
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Day 2 5
Functions (including Exponential and logarithmic functions)
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Identify the features of a function including odd/even, domain, range .etcLecture2.1
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Linear, quadratic, cubic and other simple functionsLecture2.2
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Transformations and graphing of functionsLecture2.3
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Exponential and logarithmic functionsLecture2.4
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Exam-style practice problemsLecture2.5
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Day 2 5
Calculus
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Gradients of tangentsLecture3.1
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Differentiate from the first principle and derivative lawsLecture3.2
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Product rule, chain rule and quotient ruleLecture3.3
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Applications of calculus (rate of change)Lecture3.4
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Exam-style practice problemsLecture3.5
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Day 3 4
Calculus/sequences and series
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IntegrationLecture4.1
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Definite and indefinite integrals and areasLecture4.2
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Arithmetic/geometric sequences and seriesLecture4.3
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Exam-style practice problemsLecture4.4
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Day 4 5
Financial mathematics/trigonometry
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Modelling investments and loansLecture5.1
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Financial applications of sequences and seriesLecture5.2
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Reciprocal trigonometric functions & graphsLecture5.3
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Pythagorean identities and proofLecture5.4
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Exam-style practice problemsLecture5.5
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Day 5 5
Trigonometric functions/probability
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Solve harder trigonometric equationsLecture6.1
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Transformations of trig graphsLecture6.2
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Probability and Venn diagramsLecture6.3
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Discrete probability distributionsLecture6.4
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Exam-style practice problemsLecture6.5
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Day 6 5
Statistical analysis/revision
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Summary statistics(Pareto charts, cumulative frequency distribution tables, box-plots and two-way tables)Lecture7.1
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Bivariate data analysisLecture7.2
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Pearson’s correlation coefficientLecture7.3
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Continuous random variablesLecture7.4
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Normal distributionLecture7.5
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Instructor
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