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NSW Year 11 Advanced Coursebook
Covering the whole NSW Year 11 Advanced curriculum, this coursebook has the following features
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Worked Solutions - Every question has a fully worked solution. Just look in the back of the book.
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Hyperlinks (ebook only) - No more trying to find the worked solution, click on the question number and it will take you to the worked solution in the back of the book.
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Videos - Click on or scan the QR code in each sub-topic and you will be taken directly to You Tube where the best videos have been selected for learning.
- Cut to the chase - understand the concepts that will accelerate you through the course.
- Past HSC Questions- All HSC questions (from 2015) are broken down into each topic and sub topic areas.
- Instant ebook- If you order the ebook, you will receive it within 5 minutes.
NSW Year 11 Advanced Topics
This book is a perfect for studying the entire NSW Year 11 Advanced course and contains the following topics:
- Algebra Methods
- Surds
- Functions and Graphs
- Transformations and Symmetry
- Trigonometry
- Calculus (and lots of it)
- Logs and Exponentials
- Probability and Statistics
- Discrete Probability Distributions
Each of these topics are broken down into sub-topics and are listed below.
Sub Topics
Algebra Methods
- Basic Algebra
- Expanding Brackets
- Factoring
- Algebraic Fractions
- Solving Linear Equations
- Solving Quadratic Equations
- Solving Simultaneous Equations
- Completing the Square
Surds
- Addition and Subtraction of Surds
- Multiplication and Division of Surds
- Rationalising the Denominator
Functions and Graphs
- Function Notation
- Functions and Relations
- Linear Functions
- Quadratic Function
- Square Root Function and Circle
- Cubics and Polynomials
- Exponential and Hyperbolic Functions
- Types of Relations
Transformations and Symmetry
- Translations of Graphs
- Reflections in the Coordinate Axes
- Even and Odd functions
- Absolute Value Function
- Composite Functions
Trigonometry
- Right angled triangles
- Exact values
- Cosine Rule
- Sine Rule
- Area Rule
- Ambiguous case
- Elevation and Depression
- Bearings
- Three Dimensional
- Radians
- Angles of any Magnitude
- Sectors
- Segments
- Identities
- Trig Equations
Calculus
- Continuity
- Gradients of Secants
- Gradients of Tangents
- Equations of Tangents
- Increasing and Decreasing Rates
- Difference quotients
- Stationary points
- Average velocity
- Instantaneous velocity
- Standard derivative
- Sd : Negative indices
- Sd: Fractional Indices
- Chain Rule
- Product rule
- Quotient rule
- Normals
- Instantaneous acceleration
- Derivative problems
Logs and Exponentials
- Index Laws (integer indices)
- Index laws (fractional indices)
- Exponential equations
- Logarithms
- Solving equations with logarithms
- Exponential functions
- Applications of exponential functions
- Natural Logarithms
- Graphs of Exponential and Logarithmic Functions
- Logarithms in the Real World
Probability and Statistics
- Sample Space
- Venn Diagrams
- Conditional Probability
- Independent Events
- Sampling With Replacement
- Sampling Without Replacement
Discrete Probability Distributions
- Language of Probability Distributions
- Expected Value
- Variance and Standard Deviation
