YEAR 11
EXTENSION MATHEMATICS
Our Objective
The year 11 Extension Mathematics program at Cosmos aims at helping students understand all the concepts in Extension Maths in detail and score maximum marks in their assessments and final exam. We achieve this by providing them with the ultimate combination of our interactive lectures, study material, quizzes, worksheets and continuous formative assessments. Students learn the entire year 11 Extension Mathematics syllabus as per the latest NSW curriculum in full depth. Students need to attend an extra class every week along with two Maths advanced classes. Each class is 2 hours long with a 10minute break in between. Students are motivated to keep their assessments up to date on google classroom and parents receive report cards every term containing detailed statistics of their children's test scores. Students can ask our teachers to help them personally with their school homework before/after class hours.
Weekly Course Schedule
Mathematics Syllabus
Advanced Graphs
Subtopics:

Solving inequations 
The sign of a function 
Reciprocals and asymptotes 
Graphing sums and products 
Absolute value and square roots 
Inverse relations and functions 
Inverse function notation 
Defining functions and relations parametrically
Polynomials

The language of polynomials 
Graphs of polynomial functions 
Division of polynomials 
The remainder and factor theorems 
Consequences of the factor theorem 
Sums and products of zeroes 
Multiple zeroes 
Geometry using polynomial techniques
Extending Calculus
 The exponential function base e

Transformations of exponential functions 
Differentiation of exponential functions 
Differentiation and the graph 
The logarithmic function base e 
Exponential rates using the base e 
Radian measure of angle size 
Solving trigonometric equations 
Arcs and sectors of circles 
Trigonometric graphs in radians
Discrete Probability Distribution
Subtopicss:

The language of probability distributions 
Expected value 
Variance and standard deviation 
Sampling
Combinatorics
Subtopics:

Factorial notation 
Counting ordered selections 
Ordered selections and grouping 
Ordered selections with identical elements 
Counting unordered selections 
Using counting in probability 
Arrangements in a circle 
The pigeonhole principle
Binomial Theorem and Pascal's Triangle
Subtopics:

Binomial expansions and Pascal’s triangle 
Further binomial expansions 
The binomial theorem 
Identities in Pascal’s triangle
Further Rates
 Related rates

Exponential growth and decay 
Modified natural growth and decay
Further trigonometry
 Restricting the domain

Defining the inverse trigonometric functions 
Graphs involving inverse trigonometric functions 
Trigonometric functions of compound angles 
The doubleangle formulae 
The tformulae 
Products to sums
What
Parents Say
Our Students'
Results
Priya P.
Simran M.
Ashika s.
Cathy L.
Kate A.
Sachin G.
Amol Kumar
My child loved the tutoring. He had no interest in science when he started but he now enjoys it. Shariq made the subject really interesting by showing students videos and doing activities in class.
Alvin White
Great place for study. students can come anytime and study in the study rooms and also ask questions to teachers. Sai and his team is extremely helpful.
Yousef Mohammed
Rate 5 stars. Nice campus and learning environment. Students are taught several practical based things apart from regular academics.
Tanishka Reddy
Flexible teaching style. Teachers understood that my child was able to catch things fast and already knew the content so they promoted him to the next class and taught him the full syllabus. My son enjoyed his experience.
Sameer Reddy
Received lot of study material for practice. Online quizzes and tests were pretty helpful. Certainly recommend.
Kiran Badekar
Very good coaching center. Nice staff and location.