Number of Units: 1
Consumables: $40 per annum
Description:
Mathematics Extension 1 focuses on the development of students mathematical arguments and proofs, and use of mathematical models. The course allows students to develop a thorough knowledge and understanding of and competence in further aspects of mathematics as an extension of the Mathematics Advanced 11–12 course.
Through the study of Mathematics Extension 1, students:
develop thorough knowledge, understanding and skills in Working mathematically and in communicating concisely and precisely
develop rigorous mathematical arguments and proofs, and use mathematical models extensively
develop awareness of the interconnected nature of mathematics, its beauty and its functionality
gain an appropriate mathematical background for future pathways that may involve mathematics and its applications.
Course requirements:
Course must be studied with: Mathematics Advanced
Course cannot be studied with: Mathematics Standard
Major works: Nil
Course fee will cover: eLearning subscriptions, consumables
Additional resourcing requirements for the course: NESA approved scientific calculator
Functions
Further work with polynomials
Polynomials
Trigonometric functions
Further trigonometry
Combinatorics
Permutations and combinations
The binomial theorem
Proof
Proof by mathematical induction
Vectors
Introduction to vectors
Trigonometric functions
Inverse trigonometric functions
Calculus
Further calculus skills
Further applications of calculus
Statistical analysis
The binomial distribution and sampling distribution of the mean