| |
MATH151 - General Mathematics 1A
Intention
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.
Clientele
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.
Content
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.
|
Back to the top
|
|
|
| |
