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Westfields Sports High School

Westfields Sports High School

First In Australia

Telephone02 9604 3333

Emailwestfields-h.school@det.nsw.edu.au

Mathematics extension (1 and 2)

 

Course: Mathematics Extension 1

Course No: 15250

1 unit in each of Preliminary (Preliminary Mathematics Extension) and HSC
Board Developed Course

Prerequisites: For students who intend to study the Mathematics Extension 1 course, it is recommended that they studied the content and achieved the outcomes of the NSW Mathematics Years 7–10 Syllabus and, in particular, the content and outcomes of all substrands of Stage 5.1, Stage 5.2 and Stage 5.3, including the optional substrands:

  • Polynomials
  • Logarithms
  • Functions and Other Graphs
  • Circle Geometry.

Exclusions: Students may not study the Mathematics Extension 1 course in conjunction with the Mathematics Standard 1 or the Mathematics Standard 2 course.

 

COURSE DESCRIPTION

The content of this course, which includes the whole of the 2 Unit Mathematics course, and its depth of treatment indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and who are interested in the study of further skills and ideas in Mathematics. The course is intended to give these students a thorough understanding of and competence in aspects of mathematics including many which are applicable to the real world. It has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further studies in Mathematics as a major discipline at a tertiary level, and for the study of Mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.

 

MAIN TOPICS COVERED

Preliminary Course

  • Further Work with Functions
  • Polynomials
  • Inverse Trigonometric Functions
  • Further Trigonometric Identities
  • Rates of Change
  • Working with Combinatorics

 

HSC Course

  • Proof by Mathematical Induction
  • Introduction to Vectors
  • Trigonometric Equations
  • Further Calculus Skills
  • Applications of Calculus
  • The Binomial Distribution

* * * * * * * * * *

 

Course: Mathematics Extension 2

Course No:15260

1 unit for the HSC
Board Developed Course

Prerequisites: The course is designed for students with a special interest in mathematics who have shown that they possess special aptitude for the subject.

Exclusions: Students may not study the Mathematics Extension 1 course in conjunction with the Mathematics Standard 1 or the Mathematics Standard 2 course.

 

COURSE DESCRIPTION

The course is designed for students with a special interest in Mathematics who have shown that they possess special aptitude for the subject. The content includes the whole of the 2 unit Mathematics course and the whole of the Extension 1 course as well as additional topics. The course offers suitable preparation for study of Mathematics at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in other Mathematics courses. It represents a distinctly high level in school Mathematics involving the development of considerable manipulative skill and a high degree of understanding of the fundamental ideas of algebra and calculus. These topics are treated in some depth. Thus, the course provides a sufficient basis for a wide range of useful applications of Mathematics as well as an adequate foundation for the further study of the subject.

The content of this course and its depth of treatment indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and are interested in the study of further skills and ideas in mathematics. The course is intended to give these students a thorough understanding of and competence in aspects of mathematics, including many which are applicable to the real world. It has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level and for the study of mathematics in support of the physical and engineering sciences.

 

MAIN TOPICS COVERED

  • The Nature of Proof
  • Further Proof by Mathematical Induction
  • Further Work with Vectors     
  • Introduction to Complex Numbers
  • Using Complex Numbers
  • Further Integration
  • Applications of Calculus to Mechanics