EPMATH153

Extension Mathematics 1

English Language & Foundation Studies Centre

10 Units 1000 Level Course

Available in 2014

Callaghan Campus	Semester 1

Previously offered in 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004

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 of the course is similar to HSC 2 unit Mathematics. The course covers number systems, basic algebra, simultaneous and quadratic equations, functions and graphs, sequences and series. The course aims to develop the algebraic and graphical skills necessary for calculus.

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

Objectives

The course will develop:
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. the ability to communicate mathematics, orally and in writing.
5. an understanding and correct use of mathematical notation.
6. the formulation of real-world problems in the language of mathematics, and the ability to solve them.

Content

The course covers:
* number systems: natural numbers, rationals, intergers, 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.

Industrial Experience

Assumed Knowledge

It is assumed that students are proficient with mathematics to at least Year 10 level.

Students who have not studied mathematics for some time would benefit from taking a Mathematics Bridging course before enrolling in this course.

Modes of Delivery

Internal Mode

Teaching Methods

Lecture
Tutorial

Assessment Items

Examination: Class	Class test, 15%. Expose students to examination conditions and consolidate algebraic skills.
Essays / Written Assignments	Short weekly assignments, total of 25%. Develop a study routine. Provide immediate feedback on progress to student and lecturer.
Essays / Written Assignments	Historical assignment, 10%. Display oral or writing skills in a presentation on some aspect of the history of mathematics.
Examination: Formal	Final examination in the University examination period, 50%. Assess overall proficiency in this course.

Contact Hours

Tutorial: for 1 hour(s) per Week for 11 weeks
Lecture: for 2 hour(s) per Week for 12 weeks

Timetables