Advanced Mathematics 1

Description

The pair of courses EPMATH124 Mathematics Advanced 1, offered in semester one, and EPMATH125 Mathematics Advanced 2, offered in semester two, prepares students for undergraduate courses requiring a background in mathematics. The depth and treatment of this course is similar to 2 Unit Higher School Certificate Mathematics. Topics include algebra, surds, solution of equations, trigonometry, functions, co-ordinate geometry and differential calculus.

Recommended for degrees in Engineering, Medical Radiation Science, Teaching (Mathematics), Computer Science and Pharmacy.

Availability

Callaghan

  • Semester 1 - 2016

Ourimbah

  • Semester 1 - 2016

Learning Outcomes

1. Develop a sound knowledge and an understanding of the topics included in the course.

2. Develop competence in mathematical skills equivalent to HSC 2 unit Mathematics standard.

3. Develop an understanding of the concepts and applications of mathematics relevant to degrees requiring a background in mathematics.

Content

The course covers:

  1. Surds: operations, simplifying, rationalising denominators.
  2. Basic algebra: simplifying algebraic expressions, solving equations using formulae and factorisation, algebraic fractions.
  3. Functions: linear, quadratic, cubic, semi-circle, absolute value, exponential, reciprocal.
  4. Trigonometry: The ratios, angles of elevation and depression, exact ratios, angles of any magnitude, graphs, relations between the trigonometric ratios (reciprocal, complementary), Pythagorean identities and trigonometric equations.
  5. Coordinate Geometry: linear functions using the Cartesian coordinate system, distance, mid-point and gradient, determining straight line equations, distance of a point to a line.
  6. Differential Calculus, rates of change, derivative from first principles, rules for differentiation, product, function of a function, quotient. Equations of tangents and normals.

Requisite

This course is only available to students who are active in the Newstep Program. You cannot enrol in this course if you have successfully completed or are enrolled in EPMATH126.

Assessment Items

Quiz: Quizzes #1-11

In Term Test: Midsemester

Formal Examination: Final Examination

Contact Hours

Callaghan and Ourimbah

Lecture

Face to Face On Campus 2 hour(s) per Week for 12 Weeks

Tutorial

Face to Face On Campus 2 hour(s) per Week for 12 Weeks