Advanced Mathematics 1

Description

Prepares students for undergraduate courses requiring a background in mathematics. This first semester course is a prerequisite for EPMATH125 Advanced Mathematics in the second semester. 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.

Availability

Callaghan Campus

  • Semester 1 - 2015

Ourimbah

  • Semester 1 - 2015

Learning Outcomes

1. Obtain a background in topics mentioned in the brief course description.

2. Develop students' mathematical skills equivalent to 2 unit HSC level.

3. Demonstrate a broad understanding of the course.

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.

Replacing Course(s)

This course replaces the following course(s): . Students who have successfully completed are not eligible to enrol in EPMATH124.

Assessment Items

Quiz: Quizzes #1-10

In Term Test: Class Test #1

In Term Test: Class Test #2

Formal Examination: Final Examination

Contact Hours

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