Extension Mathematics

Description

This course prepares students for the commencement of undergraduate study in those courses that require a sound knowledge of mathematical principles. The depth and content is similar to HSC 2 Unit Mathematics. It covers number systems, basic algebra, simultaneous and quadratic equations, functions and graphs, sequences and series, trigonometry and differential and integral calculus with applications.

Recommended for degrees in Mathematics, Engineering, Computer Science, Surveying and Biotechnology.

Availability

Callaghan Campus

  • Semester 2 - 2015

Learning Outcomes

1. an understanding of different number systems and how they are used within various scientific disciplines.

2. the ability to apply algebraic skills for the solution of real world problems.

3. the ability to apply graphical skills for the solution of real world problems.

4. trigonometric skills sufficient for the understanding and practice of calculus.

5. an understanding of differentiation and integration, both in theory and practice, and the ability to apply it to real world problems.

6. the ability to communicate mathematics, orally and in writing.

7. an understanding and correct use of mathematical notation.

8. the formulation and solution of real-world problems in the language of mathematics

Content

The course covers:

  • number systems: natural numbers, rationals, integers, surds and real numbers.
  • basic algebra: expanding, factoring, simplifying, solving equations and inequalities, quadratic equations, simultaneous equations.
  • curve sketching lines, circles, parabolas, hyperbolae, ellipses, polynomials, rational functions.
  • sequences and series: arithmetic and geometric progressions.
  • trigonometry: trig ratios in triangles, for common angles, for angles of any size. Identities. Sine and cosine rules. Graphs.
  • differentiation: definition; product, quotient, chain rules. Derivatives of common functions. Exponential and log functions. Applications.
  • integration: definition, integration by substitution, exponential growth and decay, and other applications.

Assessment Items

Written Assignment: Assignments

In Term Test: Class Tests

Formal Examination: Formal Examination

Contact Hours

Lecture

Face to Face On Campus 5 hour(s) per Week for 12 Weeks

Tutorial

Face to Face On Campus 1 hour(s) per Week for 11 Weeks