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MATH151 - General Mathematics 1A


The main purpose of this subject is to improve the Mathematics background of Science students--and other interested students--to the minimum standard acceptable to the Faculty of Science.


Students who are studying towards a Bachelor of Science degree who do not satisfy the following minimum standard acceptable to the Faculty of Science:
  NSW HSC Mathematics (2 Unit) Band 4, or
  NSW HSC Mathematics Extension 1 Band 2, or
  NSW HSC Mathematics Extension 2 Band 2;
  or equivalent
Students who do not satisfy this standard must satisfactorily complete MATH151 before graduation.

Therefore, MATH151 is compulsory for Bachelor of Science students who
  achieved Band 3 or lower in NSW HSC Mathematics (2 Unit), or
  completed General Mathematics at the NSW HSC, or
  are mature age students and did not complete Year 12 studies.
Further, MATH151 is highly recommended to those studying towards a Bachelor of Science who have taken a break between School studies and University studies and who only completed 2 units of Mathematics at the NSW HSC.

Finally, students who satisfy the following are not eligible to take MATH151:
  NSW HSC Mathematics (2 Unit) Band 4 or higher, or
  NSW HSC Mathematics Extension 1 any Band, or
  NSW HSC Mathematics Extension 2 any Band;
  or equivalent

Formal Prerequisite

NSW HSC Examination: any mathematics

Assumed knowledge

It is assumed that the students have a minimum education in School Mathematics of a Year 10 level. If the skills learnt during those years are "rusty", we recommend some bridging work before attempting MATH151. The content of this disc will provide you with a healthy start.


Students in MATH151 are taught the following.
(i) Application of mathematical principles to the interpretation of data, the formulation and solution of problems and the critical analysis of answers;
(ii) The use of basic mathematical skills to solve a range of problems relevant to the scientific disciplines;
(iii) An introduction to vectors, including graphs of two and three dimensional vectors and calculating vector sums, scalar products, dot products of vectors, and the angle between two vectors;
(iv) Definitions of the basic trigonometric ratios, how to sketch the graphs of trigonometric functions and applications of this knowledge to represent the periodic behaviour of natural events;
(v) Definitions of the logarithmic and exponential functions, applications of these functions to natural growth and decay, and how to understand data represented by log-log and semi-log graphs;
(vi) Differentiation of basic functions, calculation of rates of change and application of anti-differentiation to the calculation of areas.

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