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

Ourimbah

  • Semester 1 - 2015

Callaghan

  • Semester 1 - 2015

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.

Assessment Items

Quiz: Quizzes #1-11

In Term Test: Midsemester

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