15240 MATHEMATICS | ||||
Course: Mathematics Category: A | ||||
2 units for each of Preliminary and HSC Board developed Course Prerequisites: The course is presented on the assumption that students have achieved a Grade "A10" or "A9" for Mathematics in the School Certificate | ||||
Course Description: The course is intended to give students who have demonstrated competence in the skills of Stage 5 Mathematics, an understanding of and competence in some further aspects of mathematics which are applicable to the real world. It has general educational merit and is also useful for concurrent studies in science and commerce. The course is a sufficient basis for further studies in mathematics as a minor discipline at tertiary level in support of courses such as the life sciences or commerce. Students who require substantial mathematics at a tertiary level supporting the physical sciences, computer science or engineering should undertake the Extension I or Extension II courses.. | ||||
Main Topics Covered:
Preliminary Course · Basic arithmetic and algebra · Real functions · Trigonometric ratios · Linear functions · The quadratic polynomial and the parabola · Plane geometry · Tangent to a curve and derivative of a function HSC Course: · Coordinate methods in geometry · Applications of geometrical properties · Geometrical applications of differentiation · Integration · Trigonometric functions · Logarithmic and exponential functions · Applications of calculus to the physical world · Probability · Series and series applications | ||||
Assessment: HSC Course only
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