1. Maths for Technicians COURSE OVERVIEW

2. Modular Course  You will require to demonstrate ability in:  Algebra  Statistics  Geometry  Calculus

3. Algebra

4. Statistics  The easiest of the modules  Averages  Representing data (Histograms and Cumulative Frequency)  Reasoning what the graph actually is saying about the data set  More ‘why’ than ‘how’

5. Geometry

6. Calculus (counting)  Finding the gradient of curved lines  Finding the area under curves exactly  Time for you to do some learning!

7. Integration (or finding the area)

8. Area under a straight line y = mx+c

10. Using your sheet now work out the area under each of the lines and then curves  Note when integrating values such as 7 it is actually  7x 0 so when integrated it becomes  7 x 1

11. Answers

12. Mechanics  We will look at how multiple forces can be calculated to see if a system is in equilibrium.  What force T3 is required to keep the load from falling?

13. Mechanics  What forces exist at Point C on this bridge?  More importantly at the joints?

14. Kinematic systems  What speed will the truck hit the bottom of the slope when we consider the friction of the tyres and the road?  Hint Pokemon 150 applies here

15. Overview  You’ll have the skills required to examine electrical and mechanical systems using advanced mathematical techniques.  You’ll have the skills required to examine the forces, and dynamics within structures, and to determine when they might fail.  We’ll also look at fluids and thermodynamics.  Any Questions?