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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 10-minute 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
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Mathematics Syllabus
Advanced Graphs
Subtopics:
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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 double-angle formulae -
The t-formulae -
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.
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