NSW Year 12 Maths Advanced - Coursebook

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NSW Year 12 Advanced Coursebook

Covering the whole NSW Year 12 Advanced curriculum, this coursebook has the following features

• Worked Solutions - Every question has a fully worked solution. Just look in the back of the book. 
• 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. 
• 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 12 Advanced Topics

This book is a perfect for studying the entire NSW Year 12 Advanced course and contains the following topics:

1. Sequences and Series
   
2. Graphs and Equations
3. Differential Calculus
4. Integration
5. Exponential and Log Functions
6. Trig Functions
7. Motion and Rates
8. Series and Finance
9. Descriptive Statistics
10. Bivariant Data Analysis
11. Random Variables

Each of these topics are broken down into sub-topics and are listed below. 

 Sub Topics

Sequence and Series:

• Arithmetic sequences
• Geometric Sequences
• AP and GP problems
• Summing an AP
• Summing a GP
• Infinite sum of a GP
• Recurring decimals

Graphs and Equations

• Sign of a function
• Vertical an horizontal asymptotes
  
• Curve sketching
  
• Solving Inequations
  
• Graphical solutions of equations and inequations
  
• Translations, reflections and dilations
  
• Trig graphs
  

Differential Calculus

• Sign of the Derivative
• Stationary and Turning Points
  
• Second Derivatives
  
• Concavity and Points of Inflexion
  
• Curve Sketching
  
• Global Maxima and Minima
  
• Applications of Maxima and Minima
  
• Primitive Functions
  

 Integration

• Indefinite Integral
• Definite Integral
  
• Areas by Integration
  
• Trapezoidal Rule
  
• Reverse Chain Rule
  

 Exponential and Log Functions

• Exponential functions
• Differentiation of exponential functions
  
• Applications of differentiation e^x
  
• Integration of exponential functions
  
• Applications of integration e^x
  
• Log Functions
  
• Differentiation of log functions
  
• Applications of differentiation lnx
  
• Integration of reciprocal function
  
• Application of integration 1/x
  
• Calculus with other Bases
  

Trig Functions

• Differentiation of trig functions
• Applications of differentiation of trig functions
  
• Integration of trig functions
  
• Applications of integration of trig functions
  

Motion and Rates

• Average velocity and speed
• Velocity and acceleration as derivatives
  
• Integrating with respect to time
  
• Rates and differentiation
  
• Rates and Integration
  

Series and Finance

• Applications of APs and GPs
• Logs with GPs
  
• Simple and compound interest
  
• Investing money with regular installments
  
• Loan repayments
  

Descriptive Statistics

• Types of Data
• Displaying Data 1
  
• Displaying Data 2
  
• Measures of Central Tendency
  
• Standard Deviation
  

Bivariant Data Analysis

• Scatterplots and association
• Correlation coefficient
• Line of best fit

Random Variables

• Continuous Probability Distributions
• The Normal Distribution
• The Standard Normal Distribution