YEAR 11
ADVANCED MATHEMATICS
Our Objective
The year 11 Advanced Mathematics program at Cosmos aims at helping students understand all the concepts in advanced Maths in detail and score maximum marks in their school 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 standard Mathematics syllabus as per the latest NSW curriculum in full depth. Students need to attend two classes every week along with an optional doubt clearing and extra practice class every Sunday. 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
Fundamentals of Algebra
Subtopics:

Arithmetic with pronumerals 
Expanding brackets 
Factoring 
Algebraic fractions 
Solving linear equations 
Solving quadratic equations 
Solving simultaneous equations 
Completing the square
Indices and Surds

Whole numbers, integers and rationals 
Real numbers and approximations 
Surds and their arithmetic 
Further simplification of surds 
Rationalising the denominator
Functions and Graphs
 Functions and function notation

Functions, relations and graphs 
Review of linear graphs 
Quadratics functions — factoring and the graph 
Completing the square and the graph 
The quadratic formulae and the graph 
Powers, polynomials and circles 
Two graphs that have asymptotes 
Four types of relations
Transformations
Subtopicss:

Translations of known graphs 
Reflections in the xaxis and yaxis 
Even and odd symmetry 
The absolute value function 
Composite functions
Trigonometry
Subtopics:

Trigonometry with rightangled triangles 
Problems involving rightangled triangles 
Threedimensional trigonometry 
Trigonometric functions of a general angle 
Quadrant, sign, and related acute angle 
Given one trigonometric function, find another 
Trigonometric identities 
Trigonometric equations 
The sine rule and the area formula 
The cosine rule 
Problems involving general triangles
The Coordinate Plane
Subtopics:

Lengths and midpoints of intervals 
Gradients of intervals and lines 
Equations of lines 
Further equations of lines 
Using pronumerals in place of numbers
Exponential and Logarithmic Functions
 Indices

Fractional indices 
Logarithms 
The laws for logarithms 
Equations involving logarithms and indices 
Exponential and logarithmic graphs 
Applications of these functions
Differentiation
 Tangents and the derivative

The derivative as a limit x 
rule for differentiating powers of x 
Tangents and normals — dy dx notation 
Differentiating powers with negative indices 
Differentiating powers with fractional indices 
The chain rule 
The product rule 
The quotient rule 
Rates of change 
Continuity 
Differentiability
Advanced Calculus
 The exponential function base

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
Probability
 Probability and sample spaces

Sample space graphs and tree diagrams 
Sets and Venn diagrams 
Venn diagrams and the addition theorem 
Multistage experiments and the product rule 
Probability tree diagrams 
Conditional probability
What
Parents Say
Our Students'
Results
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.
Natalia J.
Erik S.
Arif B.
Arjun P.
Kritik L.
Aradhana K.