Course Title: Apply mathematical techniques in a manufacturing engineering or related environment

Elements:

1 Use concepts of arithmetic
in the solution of
engineering problems
1.1 Units of physical quantities are converted to facilitate
engineering calculations.
1.2 Calculations are performed to solve problems
involving rational and irrational numbers.
1.3 Scientific notation is used to represent numbers.
1.4 Calculations are checked for reasonableness using
estimating and approximating techniques.

2 Solve engineering
problems involving
algebraic expressions with
one independent variable
2.1 Algebraic expressions are manipulated using
mathematical operations in their correct order.
3 Use two-dimensional
geometry to solve
practical problems
3.1 Angles expressed in degrees are correctly converted to
radians and vice versa.
3.2 The perimeter, area, length and angles of a range of
two-dimensional figures are correctly calculated.
3.3 The volume and surface area of complex figures are
correctly calculated.
3.4 Points identified in terms of cartesian coordinates can
be converted to polar coordinates and vice versa.

4 Use trigonometry to solve
practical problems
4.1 Basic trigonometry functions are used to calculate the
lengths of the sides of right-angled triangles.

4.2 Inverse trigonometry functions are used to determine
angles in a right-angled triangle given the lengths of
two sides.
4.3 The sine rule is used to determine the lengths of the
sides of acute and obtuse angled triangles given one
side and two angles.
4.4 The cosine rule is used to determine the lengths of the
sides of acute and obtuse angled triangles given two
sides and one angle.

5 Graph linear functions 5.1 Linear functions are solved graphically and equations
of straight lines are determined from the slope and one
point, or two points.
5.2 Two linear functions are solved simultaneously both
algebraically and geometrically.
5.3 The length and mid point of a line segment are
determined.

6 Solve quadratic equations 6.1 Quadratic equations are solved.
6.2 Simultaneous linear and quadratic equations are
solved.
7 Perform basic statistical
calculations
7.1 Mean, median and mode are calculated from given
data.
7.2 Standard deviation is calculated and interpreted
employing graphical representation.